Blake Martin and Armaghan Salehian
Homogenization, continuum modelling, vibration, cable-harnessedbeams, space structures
Cables and cords used for electronic purposes in space structures have shown to impact the dynamics of the system significantly. In this paper, a homogenization technique is developed to obtain ana- lytical solutions for beam structures harnessed with cables wrapped in periodic patterns. For each fundamental element, the cable wraps entirely around the host structure. The effects of cables are studied to quantify the changes in natural frequencies as well as the free vibration frequency response functions of the system. Cables are modelled as pre-tensioned bar members that can undergo tension only. The strain and kinetic energy of the fundamental element wrapped with cable are found. Hamilton’s principle is employed to find the partial differential equation of motion (homogenized model). The results are validated using a finite element analysis. Multiple wrapping patterns and cross sections are considered for comparison.
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