@article {19280, title = {Elastic and viscoelastic foundations: a review on linear and nonlinear vibration modeling and applications}, journal = {Nonlinear Dynamics}, year = {2019}, url = {https://link.springer.com/article/10.1007/s11071-019-04977-9} } @article {19282, title = {Tire condition monitoring and intelligent tires using nanogenerators based on piezoelectric, electromagnetic, and triboelectric effects}, journal = {Advanced Materials Technologies }, volume = {4 }, year = {2019}, pages = {1800105}, abstract = {The quest to utilize intelligent tires has prompted substantial multidisciplinary research including vehicle dynamics, control, estimation, energy harvesting, and even nanotechnology. This review article presents the progress in the area of tire condition monitoring systems (TCMS) and intelligent tires using devices fabricated based on piezoelectric, electromagnetic, and triboelectric effects. Three main branches of the research in this area are presented, including estimation techniques, sensing, and energy harvesting approaches. The authors delineate the importance of TCMS for vehicle active safety systems, its importance for transportation safety, and also its remarkable economic and environmental impacts on the development of intelligent transportation systems. The historical evolution and the perspective of research in the area of intelligent tires and TCMS are also reviewed. In addition, it is discussed how nanogenerators would be effective on the future of intelligent tires.}, url = {https://onlinelibrary.wiley.com/doi/full/10.1002/admt.201800105} } @mastersthesis {19281, title = {Towards Intelligent Tire and Self-Powered Sensing Systems}, year = {2019}, type = {PhD thesis}, url = {https://uwspace.uwaterloo.ca/handle/10012/14646} } @book {19292, title = { Analytical Methods in Nonlinear Oscillations }, year = {2018}, pages = {286}, publisher = {Springer}, organization = {Springer}, url = {https://link.springer.com/book/10.1007\%2F978-94-024-1542-1} } @article {19291, title = {A flexible hybridized electromagnetic-triboelectric multi-purpose self-powered sensor}, journal = {Nano Energy}, volume = {45}, year = {2018}, pages = {319-329}, abstract = {This paper presents a novel hybridized flexible electromagnetic-triboelectric generator that consists of a round/square shaped coil and magnet, and also, highly flexible, mechanically and thermally\ durable, and cost-effective polymeric materials. The reported hybridized nano generator is capable of converting external mechanical load to electricity. Using a systematic optimization approach results in an optimal configuration and size for the electromagnetic components of the\ self-powered\ sensor. Combination of the electromagnetic and triboelectric components provides several advantages for the proposed self-powered device including high resolution and power density even in low frequency and small amplitude of the excitations. We probe the sensitivity of the fabricated self-powered sensor considering different amplitude and frequency of excitations as well as\ external resistors. After providing a general performance analysis for the proposed self powered sensor, we show its potential for different specific applications including human motion based\ energy harvesting\ and sensing, tire\ condition monitoring, and pressure sensing. The utilization of the proposed self-powered sensor can provide a sustainable energy source for\ wireless sensor nodes, and also overcomes the\ battery capacity\ limitation that restricts the life time durability of mobile\ electrical devices.}, url = {https://www.sciencedirect.com/science/article/pii/S2211285518300120} } @article {19285, title = {A flexible tube-based triboelectric\–electromagnetic sensor for knee rehabilitation assessment}, journal = {Sensors and Actuators A: Physical}, volume = {279}, year = {2018}, abstract = {This paper reports a novel hybridized flexible electromagnetic{\textendash}triboelectric generator for vibration/deflection monitoring as it is implemented in a cantilever or clamped-clamped configuration. The proposed self-powered sensor operates based on the concepts of electromagnetism and triboelectricity. The fabricated device consists of a stack of magnets and coils, a flexible tube as the main body, and also, highly flexible, mechanically and thermally durable, and cost-effective polymeric materials. The configuration of the electromagnetic component is optimized based on the magnetization direction of the utilized magnets. The device can effectively convert the shear force and bending moment to electrical voltage through the hybridized system with exerting an external force. The performance of the self-powered sensor is investigated for different cases including a single stack and also a double stack of magnetic components. The design of the triboelectric component of the device is based on the vertical contact separation mode. Results of the paper show how the change of configuration of the magnetic components alters the electrical output of the sensor. A detailed experimental analysis is provided to show the capability of the device under different excitation conditions for both triboelectric nanogenerator (TENG) and electromagnetic generator (EMG) components of the sensor. As the experimental analysis shows, the proposed self-powered system has the potential to be utilized for knee rehabilitation, as it shows explicit results under periodical bending load with different frequencies and amplitudes of excitation.}, url = {https://www.sciencedirect.com/science/article/abs/pii/S0924424717320861} } @article {19290, title = {A heaving point absorber-based triboelectric-electromagnetic wave energy harvester: An efficient approach toward blue energy}, journal = {International Journal of Energy Research }, volume = {42}, year = {2018}, pages = { 2431-2447}, abstract = {This paper presents a hybridized triboelectric-electromagnetic generator based on heaving point absorbers to harvest the energy of water waves. The device consists of a cylindrical freestanding grating triboelectric generator (TENG) and a 3-phase tubular electromagnetic generator (EMG). The proposed system incorporates a slider which is capable of moving through a stator under the motion of a floating buoy. The floating component can heave up and down while facing water waves without being affected by the wave direction. The performance of the TENG and EMG units and corresponding electrical outputs are evaluated under various structural, dynamical, and electrical conditions. It is shown that the number of segments in the TENG unit, phase number in the EMG unit, and motion frequency in both harvesters are the key elements in the outputs of the hybridized system. For the first time, the effect of irregular wave motion on the TENG harvester performance is systematically explored using a well-known wave spectrum. Also, the performance of the hybridized system for charging a storage unit is evaluated in details. The presented energy harvester shows a great potential toward harvesting the energy of water waves as well as hydrodynamic sensing applications. In addition, this research provides a framework for the exploration of irregular wave motion in TENG-based energy harvesters.}, url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/er.4024} } @article {19286, title = {Multi-frequency excitation of microbeams supported by Winkler and Pasternak foundations}, journal = {Journal of Vibration and Control}, volume = {24}, year = {2018}, pages = {2894-2911}, abstract = {The multi-frequency excitation of a microbeam, resting on a nonlinear foundation, is investigated and the governing equation of motion of the microbeam system is developed. The viscoelastic-type foundation is considered by assuming nonlinear parameters for both Pasternak and Winkler coefficients. The well-known Galerkin approach is utilized to discretize the governing equation of motion and to obtain its nonlinear ordinary differential equations. The multiple time-scales method is employed to study the multi-frequency excitation of the microbeam. Furthermore, the resonant conditions due to the external excitation as well as the combination resonances for the first two modes are investigated. The influences of different parameters, namely the Pasternak and Winkler coefficients, the position of the applied force and the geometrical factors on the frequency response of the system are examined.}, url = {https://journals.sagepub.com/doi/abs/10.1177/1077546317695463} } @article {19287, title = {Parameter identification and adaptive control of carbon nanotube resonators}, journal = {Asian Journal of Control}, volume = {20}, year = {2018}, pages = {1329-1338}, abstract = {In this paper, we exploit an adaptive control scheme to adjust highly sensitive oscillations of fluid conveying carbon nanotube (CNT) resonators. Firstly, we focus on the nonlinear vibrations of the fluid conveying CNTs, considering an added mass using nonlocal Euler-Bernoulli beam theory. CNT rests on nonlinear Winkler and Pasternak foundations. We use the Galerkin method to extract the nonlinear ordinary differential equation models of the CNT oscillations. We elicit a linear parametric model for estimating the added mass and other parameters of the system. Numerical simulations delineate that the developed model has sensitivity to added mass at the yoctogram level. It is known that CNT vibrations are very sensitive to small perturbations. Accordingly, a small perturbation results in significantly abrupt changes in the vibrational parameters of the targeted system. For that reason, it is crucial to have a potent apparatus for identifying the system parameters in case of sudden changes in the vibrational parameters. For such parameter identification, a least squares (LS) parameter identification algorithm and an extended Luenberger observer are integrated to a pole placement controller for online estimation of the system parameters as well as vibration control of the objective system. It is well-known that CNTs are potentially ideal atomic force microscopy (AFM) probes, and accordingly, the proposed method is potentially beneficial for identifying highly sensitive motions in AFM. In addition, numerical simulations are presented, showing that the proposed adaptive controller has the potential to be used for vibration control of the CNT resonators even in the case of chaotic motions.}, url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/asjc.1423} } @article {19283, title = {Piezoelectric and triboelectric nanogenerators: Trends and impacts}, journal = {Nano Today}, volume = {22}, year = {2018}, pages = {10-13}, abstract = {Piezoelectric and triboelectric nanogenerators are the two recently developed technologies for effective harvesting of ambient mechanical energy for self-powered systems. The work herein briefly reports the trends and impacts of research based on piezoelectric and triboelectric nanogenerators. For the first time, a statistical study of publication trends in piezo- and triboelectric nanogenerators is used to investigate the current state of the research. We investigate the status of the research in these fields, based on their S-shaped history, as a description of their growth in size over time, considering the number of citations and published papers that use these two novel technologies. A brief discussion of the outlook for these technologies and their potential impact on everyday life is presented, particularly in the development of future {\textquoteleft}smart{\textquoteright} cities.}, url = {https://www.sciencedirect.com/science/article/pii/S1748013217306229} } @article {19284, title = {Towards self-powered sensing using nanogenerators for automotive systems}, journal = {Nano Energy}, volume = {53}, year = {2018}, pages = {1003-1019}, abstract = {Harvesting energy from the working environment of vehicles is important for wirelessly monitoring their operation conditions and safety. This review aims at reporting different sensory and energy harvesting technologies developed for automotive\ and active safety systems. A few dominant sensing and power harvesting mechanisms in automotive systems are illustrated, then, triboelectric, piezoelectric and pyroelectric nanogenerators, and their potential for utilization in automotive systems are discussed considering their high power density, flexibility, different operating modes, and cost\ in comparison with other mechanisms. Various ground vehicles{\textquoteright} sensing mechanisms including position, thermal, pressure,\ chemical and gas composition, and pressure sensors are presented. A few novel types\ self-powered\ sensing mechanisms are presented for each of the abovementioned sensor categories using nanogenerators. The last section includes the automotive systems and subsystems, which have the potential to be used for energy harvesting, such as suspension and tires. The potential of nanogenerators for developing new self-powered sensors for\ automotive applications, which in the near future, will be an indispensable part of the active safety systems in production cars, is also discussed in this review article.}, url = {https://www.sciencedirect.com/science/article/pii/S2211285518306761} } @inbook {19293, title = {Vibration Analysis of Oscillators with Generalized Inertial and Geometrical Nonlinearities}, booktitle = {Nonlinear Approaches in Engineering Application}, year = {2018}, pages = {147-166}, publisher = {Springer}, organization = {Springer}, edition = {1}, url = {https://link.springer.com/chapter/10.1007/978-3-319-69480-1_6} } @article {20999, title = {Forced vibration of fluid conveying carbon nanotubes considering thermal effect and nonlinear foundations}, journal = {Composite Part B: Engineering}, volume = {113}, year = {2017}, pages = {31-43}, abstract = {Nonlinear and linear vibrations of fluid conveying carbon nanotubes considering thermal effects are studied. It is assumed that the nanotube conveying fluid flow has a general type of boundary conditions and is supported on a nonlinear Winkler-Pasternak foundation. The nonlocal Euler-Bernoulli beam theory is implemented to develop the governing differential equation of motion of the nanotube system. Furthermore, the surface effect is considered in the vibration modelling of the carbon nanotubes. The influence of the thermal effect combined with the applied longitudinal force on the vibration performance of the system is examined. The Galerkin procedure is employed to obtain the nonlinear ordinary differential equation and the multiple time-scales method is utilized to study the primary vibration resonance of the system. A parametric sensitivity analysis is carried out to reveal the influence of different parameters on the vibration primary resonance and linear natural frequency. The effects of temperature variation, boundary conditions, foundation coefficients and the fluid flow velocity on the primary resonance and natural frequency of the nanotube are investigated. The effect of temperature on the material properties of carbon nanotube is originally combined with the vibration model. Different types of Zigzag carbon nanotubes are considered and the effects of different parameters, namely, the fluid flow velocity and the temperature variations are compared.}, url = {https://www.sciencedirect.com/science/article/pii/S1359836816314767} } @article {20997, title = {High frequency nano electromagnetic self-powered sensor: concept, modelling and analysis}, journal = {Measurement }, volume = {107}, year = {2017}, pages = {31-40}, abstract = {This paper investigates nonlinear vibrations of the nanoplates for a high resolution mass identification. As background, the paper is furnished with a succinct review of the applications of the nanoplates, along with recent studies on nanoplate vibrations. In spite of a number of published works related to vibrations of nanoplates, their nonlinear behaviors have not been fully characterized. Accordingly, we present a mathematical model to examine nonlinear vibrations of nanoplates based on the nonlocal theory postulating nonlinear Winkler foundation. Besides, external force is taken into account to scrutinize nanoplate vibrations. The developed mathematical model consists of the assumption of a tiny mass stuck on the nanoplates. Utilizing the Galerkin{\textquoteright}s method considering multiple scales method provides the primary mode of nanoplate oscillations. In view of that, parametric sensitivity analysis depicts that the frequency response of the nanoplates significantly changes by adding minuscule mass. Two different methods are developed for identification of the added mass. The first method works based on the jump phenomenon in nonlinear oscillators due to the added mass. In the second method, an adaptive parameter identifier estimates the added tiny mass based on a parametric dynamic model of the structure and its vibrational response to a periodic applied force. The effectiveness and straightforwardness of both developed methods are illustrated. Furthermore, a comparison with the molecular dynamics simulation is provided to verify the developed nonlocal model of nanoplate vibrations. It is concluded that the developed method can be considered as consequential and potential tools for high resolution mass sensing. The proposed approaches have the potential to be used in virus, enzyme and also humidity sensing.}, url = {https://www.sciencedirect.com/science/article/pii/S026322411730012X} } @article {21002, title = {High resolution mass identification using nonlinear vibrations of nanoplates}, journal = {Measurement }, volume = {101}, year = {2017}, pages = {166-174}, abstract = {This paper investigates nonlinear vibrations of the nanoplates for a high resolution mass identification. As background, the paper is furnished with a succinct review of the applications of the nanoplates, along with recent studies on nanoplate vibrations. In spite of a number of published works related to vibrations of nanoplates, their nonlinear behaviors have not been fully characterized. Accordingly, we present a mathematical model to examine nonlinear vibrations of nanoplates based on the nonlocal theory postulating nonlinear Winkler foundation. Besides, external force is taken into account to scrutinize nanoplate vibrations. The developed mathematical model consists of the assumption of a tiny mass stuck on the nanoplates. Utilizing the Galerkin{\textquoteright}s method considering multiple scales method provides the primary mode of nanoplate oscillations. In view of that, parametric sensitivity analysis depicts that the frequency response of the nanoplates significantly changes by adding minuscule mass. Two different methods are developed for identification of the added mass. The first method works based on the jump phenomenon in nonlinear oscillators due to the added mass. In the second method, an adaptive parameter identifier estimates the added tiny mass based on a parametric dynamic model of the structure and its vibrational response to a periodic applied force. The effectiveness and straightforwardness of both developed methods are illustrated. Furthermore, a comparison with the molecular dynamics simulation is provided to verify the developed nonlocal model of nanoplate vibrations. It is concluded that the developed method can be considered as consequential and potential tools for high resolution mass sensing. The proposed approaches have the potential to be used in virus, enzyme and also humidity sensing.}, url = {https://www.sciencedirect.com/science/article/pii/S026322411730012X} } @article {21001, title = {A hybridized electromagnetic-triboelectric self-powered sensor for traffic monitoring: concept, modelling, and optimization}, journal = {Nano Energy}, volume = {32}, year = {2017}, pages = {105-116}, abstract = {We report a hybridized electromagnetic-triboelectric generator that consists of four units of freestanding triboelectric nano generators (TENG) and four\ electromagnetic generators\ (EMG) that can be used as a\ self-powered\ sensor for road traffic monitoring. The proposed hybridized nano generator converts the periodical mechanical load over the speed bumper into electricity. We optimize the geometry of the electromagnetic component for the purpose of high\ power generation. With combination of TENG and EMG, it is shown that the proposed device is capable of the power and voltage generation even with very small displacements and low frequencies. Depending to the triggering frequency, TENG or EMG dominates the power generation considering different mechanical loads. The hybridized nanogenerator can deliver output volume power density of\ 20.96Wm3and\ 50.81Wm3\ for TENG and EMG components in frequency of 1\ Hz, respectively. The proposed nano generator not only has the potential to be implemented for\ sensing applications\ and traffic monitoring due to its high output voltage, but also is capable of power harvesting to act as a self-powered monitoring system. With the global interest toward developing\ smart cities, the proposed self-powered device can address the traffic monitoring challenges of those cities by providing online traffic information.}, url = {https://www.sciencedirect.com/science/article/pii/S2211285516305869} } @article {20996, title = {Modeling and performance analysis of duck-shaped triboelectric and electromagnetic generators for water wave energy harvesting}, journal = {International Journal of Energy Research }, volume = {41 }, year = {2017}, pages = {2392-2404}, abstract = {Triboelectric nanogenerator (TENG) is a newly proposed technology for effectively converting mechanical energy into electricity. Triboelectric nanogenerator has shown a great potential for harvesting the clean and abundant energy of ocean waves. Recently, a duck-shaped TENG device has been proposed as a lightweight, cost-effective, highly stable, and efficient system for scavenging the existing energy in water waves. In this paper, a detailed investigation on the performance of the duck-shaped TENG is presented. Then, a comparative analysis between the TENG device and an equivalent electromagnetic generator (EMG) for wave energy harvesting is performed. The electric output characteristics of both techniques under various mechanical and electrical conditions are obtained. The analysis demonstrates that at a low operating frequency of 2.5\ Hz, the TENG and EMG achieve the peak power density of 213.1 and 144.4\ W/m3, respectively. The present paper provides guidance for design and optimization of hybrid TENG and EMG technology toward scavenging the blue energy.}, url = {https://onlinelibrary.wiley.com/doi/full/10.1002/er.3811} } @article {21000, title = {Nonlocal effect in carbon nanotube resonators: A comprehensive review}, journal = {Advances in Mechanical Engineering}, volume = {9}, year = {2017}, pages = {1687814016686925}, abstract = {This article provides a comprehensive review about the use of nonlocal theory in modeling of the vibrations of the carbon nanotube resonators. It is fully described how the nonlocal effect has been exploited by researchers to mathematically model vibrations of carbon nanotube resonators. Fusion of different classical beam theories with nonlocal theory is discussed. Also, the article presents the combination of nonlocal models with different physical phenomena which have influence in the vibrations of carbon nanotube resonators.}, url = {https://journals.sagepub.com/doi/full/10.1177/1687814016686925} } @article {20998, title = {A Triboelectric Self-Powered Sensor for Tire Condition Monitoring: Concept, Design, Fabrication, and Experiments}, journal = {Advanced Engineering Materials}, volume = {19}, year = {2017}, pages = {1700318}, abstract = {This paper presents a novel type of triboelectric-based self-powered sensorfor tire condition monitoring. The triboelectric based sensor is made of highlyflexible, mechanically and thermally durable, and cost-effective polymericmaterials. The authors firstly report the location inside of a tire for attachingthe sensor to monitor tire conditions. Then, the authors analyze theperformance of the sensor under different frequencies and stroke displace-ments to show the capability of the fabricated device as a self-poweredsensor. Furthermore, the authors evaluate the durability and performance ofthe sensor to delineate its potential for tire condition monitoring. The resultsshow that the fabricated self-powered sensor has the potential of measuringthe tire forces and pressure. The use of the proposed sensor for tirecondition monitoring systems (TCMS) can be considered as a significant steptoward developing smart tires, improving vehicles control strategy, andaccordingly, enhancing passengers safety.}, url = {https://onlinelibrary.wiley.com/doi/epdf/10.1002/adem.201700318} } @proceedings {21003, title = {Nonlinear forced vibration of curved carbon nanotube resonators}, journal = {Proceedings of the ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference IDETC/CIE 2016}, year = {2016}, abstract = {Nonlinear forced vibration of the nonlocal curved carbon nanotubes is investigated. The governing equation of vibration of a nonlocal curved carbon nanotube is developed. The nonlinear Winkler and Pasternak type foundations are chosen for the nanotube resonator system. Furthermore, the shape of the carbon nanotube system is assumed to be of a sinusoidal curvature form and different types of the boundary conditions are postulated for the targeted system. The Euler-Bernoulli beam theory in conjunction with the Eringen theory are implemented to obtain the partial differential equation of the system. The Galerkin method is applied to obtain the nonlinear ordinary differential equations of the system. For the sake of obtaining the primary resonance of the considered system the multiple time scales method is utilized. The influences of different parameters, namely, the position of the applied force, different forms of boundary condition, amplitude of curvature, and the coefficient of the Pasternak foundation, on the frequency response of the system were fully investigated.}, url = {https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2016/50145/V004T08A014/258505} } @proceedings {21004, title = {Nonlinear Vibration of Carbon Nanotube Resonators Considering Higher Modes}, journal = {Proceedings of the ASME 2015 International Design Engineering Technical Conferences \& Computers and Information in Engineering Conference}, year = {2016}, abstract = {Nonlinear forced vibration of the carbon nanotubes based on the Euler-Bernoulli beam theory is studied. The Euler-Bernoulli beam theory is implemented to find the governing equation of the vibrations of the carbon nanotube. The Pasternak and Nonlinear Winkler foundation is assumed for the objective system. It is supposed that the system is supported by hinged-hinged boundary conditions. The Galerkin procedure is employed in order to find the nonlinear ordinary differential equation of the vibration of the objective system considering two modes of vibrations. The primary and secondary resonant cases are developed for the objective system employing the multiple scales method. Influence of different factors such as length, thickness, position of applied force, Pasternak and Winkler foundation are fully shown on the primary and secondary resonance of the system.}, url = {https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2015/57181/V008T13A089/274914} } @article {21015, title = {Analytical Solutions for Rumor Spreading Dynamical Model in a Social Network}, journal = {Nonlinear Engineering:Modeling and Application}, volume = {4}, year = {2015}, pages = {23-29}, abstract = {In this paper, Laplace Adomian decomposition method is utilized for evaluating of spreading model of rumor. Firstly, a succinct review is constructed on the subject of using analytical methods such as Adomian decomposion method, Variational iteration method and Homotopy Analysis method for epidemic models and biomathematics. In continue a spreading model of rumor with consideration of forgetting mechanism is assumed and subsequently LADM is exerted for solving of it. By means of the aforementioned method, a general solution is achieved for this problem which can be readily employed for assessing of rumor model without exerting any computer program. In addition, obtained consequences for this problem are discussed for dierent cases and parameters. Furthermore, it is shown the method is so straightforward and fruitful for analyzing equations which have complicated terms same as rumor model. By employing numerical methods, it is revealed LADM is so powerful and accurate for eliciting solutions of this model. Eventually, it is concluded that this method is so appropriate for this problem and it can provide researchers a very powerful vehicle for scrutinizing rumor models in diverse kinds of social networks such as Facebook, YouTube, Flickr, LinkedIn and Tuitor.}, url = {https://www.degruyter.com/view/j/nleng.2015.4.issue-1/nleng-2014-0025/nleng-2014-0025.xml} } @proceedings {21017, title = {Dynamic Behavior of Carbon Nanotubes Using Nonlocal Rayleigh Beam}, journal = {ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference}, year = {2015}, abstract = {Forced vibration of carbon nanotubes based on the Rayleigh beam theory in conjunction with Eringen{\textquoteright}s nonlocal elasticity is investigated. The governing equation of vibration of carbon nanotube using the above theories is developed. The carbon nanotube is rested on a nonlinear Winkler and Pasternak foundation with the simply-supported boundary conditions. The Gelerkin procedure is utilized to find the nonlinear ordinary differential equation of vibration of system. The differential equation is solved using the multiple scales method in order to investigate the primary resonance of the considered system. The frequency response of the system is obtained and the effects of different parameters, such as the surface effect, position and magnitude of applied force and Pasternak and Winkler foundation, on the vibration behavior of the system are studied. The sensitivity of the amplitude of oscillation of carbon nanotube is depicted with respect to the surface effect. It is shown that the surface effect plays an important role in the forced vibration of the nano-scale structure.}, url = {https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings-abstract/IDETC-CIE2014/46414/V008T11A031/252991} } @proceedings {21024, title = {Nonlinear Forced Vibration of Carbon Nanotubes Considering Thermal Effects}, journal = {ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference}, year = {2015}, address = {Buffalo, New York, USA}, abstract = {Nonlinear forced vibration of carbon nanotubes is investigated. The Euler-Bernoulli beam theory in conjunction with Eringen{\textquoteright}s theory is considered and the thermal effect is incorporated into the formulation of the governing equation. The Winkler model is assumed for the foundation of carbon nanotube and the Galerkin method is performed to find the nonlinear ordinary differential equation of system based on the assumed boundary conditions. The multiple times scale is applied to investigate the forced vibration of carbon nanotubes. The effect of different parameters, namely, temperature variations and carbon nanotube length changes on the amplitude of oscillation of carbon nanotube are studied. It is found that the linear natural frequency of system increases by increasing the temperature and subsequently, the oscillation amplitude will decrease.}, url = {https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2014/46414/V008T11A050/253079} } @article {21016, title = {Nonlinear Oscillations Analysis of the Elevator Cable in a Drum Drive Elevator System}, journal = {Advances in Applied Mathematics and Mechanics}, volume = {7}, year = {2015}, pages = {43-57}, abstract = {This paper aims to investigate nonlinear oscillations of an elevator cable in a drum drive. The governing equation of motion of the objective system is developed by virtue of Lagrangian{\textquoteright}s method. A complicated term is broached in the governing equation of the motion of the system owing to existence of multiplication of a quadratic function of velocity with a sinusoidal function of displacement in the kinetic energy of the system. The obtained equation is an example of a well-known category of nonlinear oscillators, namely, non-natural systems. Due to the complex terms in the governing equation, perturbation methods cannot directly extract any closed form expressions for the natural frequency. Unavoidably, different non-perturbative approaches are employed to solve the problem and to elicit a closed-form expression for the natural frequency. Energy balance method, modified energy balance method and variational approach are utilized for frequency analyzing of the system. Frequency-amplitude relationships are analytically obtained for nonlinear vibration of the elevator{\textquoteright}s drum. In order to examine accuracy of the obtained results, exact solutions are numerically obtained and then compared with those obtained from approximate closed-form solutions for several cases. In a parametric study for different nonlinear parameters, variation of the natural frequencies against the initial amplitude is investigated. Accuracy of the three different approaches is then discussed for both small and large amplitudes of the oscillations.}, url = {https://www.cambridge.org/core/journals/advances-in-applied-mathematics-and-mechanics/article/nonlinear-oscillations-analysis-of-the-elevator-cable-in-a-drum-drive-elevator-system/07B2C8B67DD718ABACF3801F72CE66DD} } @article {21014, title = {A unified approach for nonlinear vibration analysis of curved structures using non-uniform rational B-spline representation}, journal = {Journal of Sound and Vibration }, volume = {353}, year = {2015}, pages = {292-307}, abstract = {A novel procedure for the nonlinear vibration analysis of curved beam is presented. The Non-Uniform Rational B-Spline (NURBS) is combined with the Euler-Bernoulli beam theory to define the curvature of the structure. The governing equation of motion and the general frequency formula, using the NURBS variables, is applicable for any type of curvatures, is developed. The Galerkin procedure is implemented to obtain the nonlinear ordinary differential equation of curved system and the multiple time scales method is utilized to find the corresponding frequency responses. As a case study, the nonlinear vibration of carbon nanotubes with different shapes of curvature is investigated. The effect of oscillation amplitude and the waviness on the natural frequency of the curved nanotube is evaluated and the primary resonance case of system with respect to the variations of different parameters is discussed. For the sake of comparison of the results obtained with those from the molecular dynamic simulation, the natural frequencies evaluated from the proposed approach are compared with those reported in literature for few types of carbon nanotube simulation.}, url = {https://www.sciencedirect.com/science/article/pii/S0022460X15004332} } @proceedings {21029, title = {Chaotic and periodic vibration of a carbon nanotube supported by nonlinear foundation}, journal = {Proceedings of the 14th IEEE International Conference on Nanotechnology}, year = {2014}, address = {Toronto, Canada}, abstract = {The nonlinear vibrations and chaotic motion of a carbon nanotube subjected to axial loads and rested on a Winkler and Pasternak foundation are studied. It is assumed that the carbon nanotube is simply-supported at both ends. The governing equation of motion for the nanotube and foundation system using the Euler-Bernoulli beam theory is developed. The Galerkin method is considered for the solution of the governing equation to obtain the nonlinear ordinary differential equation of the system. The multiple time scale method is utilized to find the frequency response of the system. The bifurcation diagram, phase-plane trajectories and Poincar{\'e} section are considered to identify the chaotic region of oscillations of carbon nanotube.}, url = {https://ieeexplore.ieee.org/abstract/document/6968148} } @proceedings {21028, title = {Free vibration of micro cantilever beam with electromagnetic actuators}, journal = {ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis}, year = {2014}, address = {ESDA2014, Copenhagen, Denmark}, abstract = {Free vibration of cantilever beam with an electromagnetic actuator is studied. The governing equation of motion of the system is developed and the electromagnetic actuation part is added to the system. The system is modeled by 1DOF vibration mode. Three different analytical solution methods, namely, Krylov and Bogoliubov, Energy Balance and Modified Energy Balance are utilized to obtain the equations of motion and the frequency response of the system. Expression for the fundamental frequency is obtained using different types of analytical procedures. Frequency responses of the system are obtained using different numerical methods and the accuracy of the proposed approaches is studied. The influence of the initial conditions on the system performance is studied and the point where, the system starts to show an unstable behavior and quasi-periodic response is identified. Phase-plane trajectories are presented to elaborately analyze the dynamical behaviors of the system. Variations of the natural frequencies for different values of actuation parameter and the initial conditions are plotted to reveal the sensitivity of the objective system.}, url = {https://asmedigitalcollection.asme.org/ESDA/proceedings/ESDA2014/45844/V002T07A026/232368} } @article {21027, title = {Multi-frequency excitation of stiffened triangular plates for large amplitude oscillations}, journal = {Journal of Sound and Vibration}, volume = {333 }, year = {2014}, pages = {5817{\textendash}5835}, abstract = {Free and forced vibrations\ of triangular plate are investigated. Diverse types of\ stiffeners\ were attached onto the plate to suppress the undesirable large-amplitude\ oscillations. The governing\ equation of motion\ for a triangular plate, based on the von K{\'a}rm{\'a}n theory, is developed and the nonlinear ordinary\ differential equation\ of the system using Galerkin approach is obtained.\ Closed-form expressions\ for the free undamped and large-amplitude\ vibration\ of an orthotropic triangular elastic plate are presented using the two well-known analytical methods, namely, the energy balance method and the variational approach. The frequency responses in the closed-form are presented and their sensitivities with respect to the initial amplitudes are studied. An\ error analysis\ is performed and the vibration behavior, as well as the accuracy of the solution methods, is evaluated. Different types of the stiffened triangular plates are considered in order to cover a wide range of practical applications. Numerical simulations are carried out and the validity of the\ solution procedure\ is explored. It is demonstrated that the two methods of energy balance and variational approach have been quite straightforward and reliable techniques to solve those nonlinear differential equations. Subsequently, due to the importance of multiple resonant responses in engineering design, multi-frequency excitations are considered. It is assumed that three periodic forces are applied to the plate in three specific positions. The multiple time scaling method is utilized to obtain approximate solutions for the\ frequency resonance\ cases. Influences of different parameters, namely, the position of applied forces, geometry and the number of stiffeners on the frequency response of the triangular plates are examined.}, url = {https://www.sciencedirect.com/science/article/pii/S0022460X1400532X} } @article {21025, title = {Nonlinear vibration analysis of nonlocal nanowires}, journal = {Composites Part B: Engineering}, volume = {67}, year = {2014}, pages = {607-613}, abstract = {Timoshenko beam theory is utilized to develop the governing equation of vibration of the nonlocal nanowires using the energy method and Galerkin procedure. The potent and well-known Variational iteration and Homotopy perturbation methods are used to find the analytical solutions of the oscillation of the nanowires. A closed-form solution is obtained for the natural frequency of the system. It is very important to obtain the frequency-amplitude formulation of the nano-scale system due to their sensitivity to very small oscillations. The focus of this work is to obtain the frequency-amplitude relationships of the vibration of the nanowires and also investigate the effects of different parameters on the dynamical behavior. The sensitivity of the natural frequency of nanowires to the variations of the surface effect, transverse shear deformation and the aspect ratio is investigated. Furthermore, the effect of variations of amplitude on the nonlinear oscillation of the nanowires is examined and the influence of the nonlocal parameter on the dynamical behavior of the nanowires is studied. Two different types of the cross-sectional area, namely the rectangular and the circular nanowires were considered and the effects of all the above-mentioned parameters have been examined. Eventually, numerical simulation methods are performed to delineate the accuracy of the results obtained by means of the variational iteration and the Homotopy perturbation methods.}, url = {https://www.sciencedirect.com/science/article/pii/S135983681400328X} } @mastersthesis {21030, title = {Nonlinear vibration and chaotic motion of uniform and non-uniform carbon nanotube resonators}, year = {2014}, type = {Master{\textquoteright}s thesis}, abstract = {Vibration analysis of carbon nanotubes (CNTs) is very essential field owing to their many promising applications in tiny instruments. The unique and interesting properties of CNTs, particularly their mechanical and electrical features, have fascinated industries and researchers to implement CNTs for production of different electromechanical devices. Research on vibration behavior of CNTs has been done for a few decades. Accordingly, a number of mathematical theories have been developed to analyze the vibration of CNTs. Most of the articles on the vibration of CNTs are focused on the linear and free vibrations and also, CNTs are supported by linear foundations. The main goal of this research is to develop nonlinear vibration analysis of CNTs having geometrical nonlinearity and being rested on nonlinear Winkler and Pasternak foundations. The nonlinear vibrations of the curved CNTs are developed using the Eringen theory in conjunction with the Euler-Bernoulli beam model and the thermal effect is also considered for the vibration of CNTs. The effects of fluid conveying flow, geometrical nonlinearities and Winkler and Pasternak foundations are studied. Nonlinear equations of CNTs vibration postulating the longitudinal electromagnetic effect is also modeled. Furthermore, a new method is developed for the nonlinear vibrations of freeform carbon nanotube based on the Euler-Bernoulli beam theory in conjunction with Non-Uniform Rational B-Spline (NURBS). The proposed model is quite straightforward for the vibrational analysis of the curved structures. Moreover, the chaotic motions of the fluid conveying carbon nanotube rested on a Winkler and Pasternak foundation are studied. The bifurcation and time history diagrams, phase-plane trajectories and Poincar{\'e} sections are presented to examine the dynamical behavior of carbon nanotubes. The Galerkin approach in conjunction with the multiple time scales method is chosen to study the nonlinear vibrations of the proposed models. The effects of different parameters on the primary and secondary resonant cases and also the nonlinear and linear frequencies of CNTs are examined.}, url = {https://ir.library.dc-uoit.ca/handle/10155/467} } @proceedings {21026, title = {Nonlinear vibration of nanobeam with quadratic rational bezier arc curvature}, journal = {ASME 2014 International Mechanical Engineering Congress and Exposition}, year = {2014}, address = {IMECE2014-Montreal, Quebec, Canada}, abstract = {Nonlinear vibration of nanobeam with the quadratic rational Bezier arc curvature is investigated. The governing equation of motion of the nanobeam based on the Euler-Bernoulli beam theory is developed. Accordingly, the non-uniform rational B-spline (NURBS) is implemented in order to write the implicit form of the governing equation of the structure. The simply-supported boundary conditions are assumed and the Galerkin procedure is utilized to find the nonlinear ordinary differential equation of the system. The nonlinear natural frequency of the system is found and the effects of different parameters, namely, the waviness amplitude, oscillation amplitude, aspect ratio, curvature shape and the Pasternak foundation coefficient are fully investigated. The hardening and softening responses of the natural frequency of structure are detected for variations of the shape and amplitude of the curvature waviness. It is revealed that the ratio of nonlinear to linear frequency increases with an increase in the oscillation amplitudes. It is found that by increasing the Pasternak foundation coefficient, the ratio of nonlinear to linear frequency decreases.}, url = {https://asmedigitalcollection.asme.org/IMECE/proceedings/IMECE2014/46476/V04AT04A044/262863} } @proceedings {21039, title = {Analysis of nonlinear oscillation of circular curved carbon nanotube}, journal = {13th IEEE International Conference on Nanotechnology}, year = {2013}, address = {IEEE-NANO 2013, Beijing, China}, abstract = {The nonlinear vibration of a circular curved carbon nanotube using Euler-Bernoulli beam theory is investigated. The governing equation of motion of the system is developed and the Galerkin method is utilized to obtain the nonlinear ordinary differential equation of the curved carbon nanotube. A quarter-circular curvature is considered for the nanotube and it is assumed to have a single wall with simply-supported boundary conditions. Two semi analytical approaches to study the behavior of the developed nonlinear differential equation are utilized and the frequency-amplitude relationship of the objective system is obtained. Subsequently, a parametric study is performed to study the importance of different parameters, such as the amplitude of oscillation and the curvature radius, on the nonlinear behavior of the system. Finally, numerical simulation is carried out to obtain the results and investigate the accuracy of the analytical solution methods applied.}, url = {https://ieeexplore.ieee.org/abstract/document/6721050} } @article {21037, title = {Higher-order energy balance method for a series of nonlinear oscillatory systems}, journal = {Asian-European Journal of Mathematics 6 (04), 1350054}, volume = {6 }, year = {2013}, pages = {1350054}, abstract = {The aim of this paper is to use higher-order energy balance method as a novel solution procedure for investigation the nonlinear oscillation of various systems. The method is associated with collocation method and employed for a group of nonlinear problems including pure cubic nonlinearity, fractional elastic force and duffing harmonic terms. Obtained results are evaluated by comparing with the classical balance method and also the exact solutions computed numerically. It is shown our solution procedure achieves more accurate results versus the classical solution and higher agreement are observed between the newer solutions and the exact ones for the systems. Effect of initial conditions in the nonlinear natural frequencies are carried out for a range of small and large values and it is proved the proposed method is not only simple but also more reliable for analysis of such systems.}, url = {https://www.worldscientific.com/doi/abs/10.1142/S179355711350054X} } @proceedings {21036, title = {Large amplitude free vibration analysis of nanotubes using variational and homotopy methods}, journal = {ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference}, year = {2013}, address = {Portland, Oregon, USA}, abstract = {Linear theories are basically unable to model the dynamic behavior of nanotubes due to the large deflection/dimension ratios. In this paper the closed form expressions are obtained for the large-amplitude free vibration of nanotubes. The nonlinear governing differential-integral equation of motion is derived and solved using the Galerkin approach. The derived nonlinear differential equation is then solved using the Variational Approach (VA) and the Homotopy Analysis Method (HAM). The fundamental harmonic as well as higher-order harmonics are analytically obtained. The approximate solutions are compared with those of the numerical responses and accordingly a numerical analysis is carried out. A parametric sensitivity analysis is carried out and different effects of the physical parameters and initial conditions on the natural frequencies are examined. It is found that both the variational analysis and homotopy method are quite consistent and satisfactory techniques to analyze the vibration of nanotubes.}, url = {https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings-abstract/IDETC-CIE2013/55997/V008T13A024/256583} } @proceedings {21033, title = {Nonlinear Longitudinal Vibration Solutions of an Elastic Rod}, journal = {ASME 2013 International Mechanical Engineering Congress and Exposition}, year = {2013}, address = {IMECE San Diego}, abstract = {Nonlinear longitudinal vibration of an elastic rod is studied. The motion of a uniform elastic rod is described by a nonlinear partial differential equation, which has a cubic nonlinear term and a Winkler elastic force that acts along the longitudinal axis of the rod. Galerkin method is used to develop the nonlinear differential equation of elastic rod, which resembles similarity with the Duffing equation. Three different types of robust analytical methods are chosen to solve the nonlinear differential equation and obtain the natural frequency of the system. These are the Homotopy analysis method (HAM), Energy balance method (EBM) and Hamiltonian approach (HA). Subsequently, the analytical results are compared with the numerical solution of the exact equation in order to evaluate the correctness of the applied approaches. Moreover, the effects of the constant coefficients of the elastic force on the ratio of the nonlinear to the linear frequencies are studied. The singular points of the nonlinear differential equation of the elastic rod are extracted and the Jacobian matrix is constructed to recognize their types. Finally, phase-plane trajectories of the system are constructed in order to verify the results obtained from the Jacobian matrix.} } @proceedings {21035, title = {Nonlinear vibration analysis and approximate solution of micro-beams}, journal = {ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference}, year = {2013}, abstract = {Closed form expressions are obtained for the dynamic response of a micro-scale elastic beam in this paper. The nonlinear governing equation of motion is derived and solved using the Variational Iteration Method (VIM) and the Energy Balance Method (EBM). The frequency responses are presented in closed forms and their sensitivities with respect to the initial conditions are investigated. A number of numerical simulations are then carried out and the performance and validity of the solution procedure are evaluated in the time and frequency domain as well as in the phase plane. Accuracy of the solution procedure is studied by comparing the obtained results with those obtained from the exact solutions. Different effects of the nonlinear parameters and initial amplitude on the natural frequencies are also investigated in a parametric study. It is proved that VIM and EBM are simple and reliable techniques to solve the corresponding nonlinear differential equation.}, url = {https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings-abstract/IDETC-CIE2013/55997/V008T13A025/256605} } @proceedings {21040, title = {Nonlinear vibration of fluid-conveying carbon nanotube using homotopy analysis method}, journal = {13th IEEE International Conference on Nanotechnology }, year = {2013}, address = {IEEE-NANO 2013, Beijing, China}, abstract = {The nonlinear vibration of a circular curved carbon nanotube using Euler-Bernoulli beam theory is investigated. The governing equation of motion of the system is developed and the Galerkin method is utilized to obtain the nonlinear ordinary differential equation of the curved carbon nanotube. A quarter-circular curvature is considered for the nanotube and it is assumed to have a single wall with simply-supported boundary conditions. Two semi analytical approaches to study the behavior of the developed nonlinear differential equation are utilized and the frequency-amplitude relationship of the objective system is obtained. Subsequently, a parametric study is performed to study the importance of different parameters, such as the amplitude of oscillation and the curvature radius, on the nonlinear behavior of the system. Finally, numerical simulation is carried out to obtain the results and investigate the accuracy of the analytical solution methods applied.}, url = {https://ieeexplore.ieee.org/abstract/document/6721050} } @proceedings {21034, title = {Nonlinear Vibration Solutions of Nano-Beams Considering Surface Effects}, journal = {ASME 2013 International Mechanical Engineering Congress and Exposition}, year = {2013}, address = {San Diego, California, USA}, abstract = {Nonlinear free vibration of nanobeams considering the surface effects is studied. The governing differential equation of motion of the system employing the Euler-Bernoulli beam theory is derived. Galerkin method is utilized to obtain the nonlinear ordinary differential equation of nanobeams, which is a well-known type of the Duffing equation. The elliptical harmonic balance method, energy balance technique and the variational approach are employed to obtain the frequency-amplitude relationship of the system. The effects of different parameters, i.e., aspect ratio, nonlocal parameter and the resultant residual stress, on the natural frequency are examined. Moreover, the variation of the amplitude on the frequency response is studied. The influence of the initial amplitude on the obtained modulus from the elliptical harmonic balance has been examined. Furthermore, the exact numerical solution is determined to verify the results obtained from the analytical solutions.}, url = {https://asmedigitalcollection.asme.org/IMECE/proceedings-abstract/IMECE2013/56253/V04BT04A079/260129} } @proceedings {21038, title = {Periodic solutions for nonlinear oscillations of nanowires using variational iteration method}, journal = {13th IEEE International Conference on Nanotechnology (IEEE-NANO 2013)}, year = {2013}, address = {IEEE-NANO 2013, Beijing, China}, abstract = {Nonlinear oscillation of nanowires, based on the Timoshenko beam theory, are investigated. The analytical solution of the nanowire structure using the Galerkin technique together with the variational iteration method is developed. A coupled nonlinear differential equation is obtained utilizing the Galerkin technique. Subsequently, the frequency-amplitude relationships are found for the nonlinear vibration of the nanowires using the variational iteration method. The main objective of this work is to obtain the frequency-amplitude relationships of the nanowires and also to investigate the effects of different parameters, such as the surface effect, transverse shear deformation and the aspect ratio, on their dynamic behaviors. Furthermore, the influence of varying amplitude on the nonlinear oscillations of the nanowires is analyzed.}, url = {https://ieeexplore.ieee.org/abstract/document/6720963} }