Motivated by the space structures applications, this project focuses on obtaining mathematical models that incorporate the dynamic effects and complexities that electronic cables and power cords impose on space structures and their dynamics and vibrations control. The research focuses on the development of low order, high fidelity partial differential equations that account for the local damping, mass and stiffness properties of these cables and the coupling between various coordinates of vibrations on the host structure as a result of these cables to help with model-based vibrations control algorithms.