Abstract
A new multimodal theory is developed analytically using the method of multiple scales to investigate the dynamic behavior of arbitrarily sagged and inclined cables oscillating around a catenary static profile. Fully non-condensed kinematics are adopted to solve the eigenvalue problem and the enhanced modal properties obtained at this stage are used as first inputs to the resolution of the nonlinear time dependent problem leading to original results where the contribution of longitudinal vibration is better captured and the modal coupling is accurately described in both space and frequency domains.
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Mansour, A., Rega, G., Mekki, O.B. (2020). Catenary-Based Nonlinear Multimodal Theory of Cable Free Vibrations. In: Lacarbonara, W., Balachandran, B., Ma, J., Tenreiro Machado, J., Stepan, G. (eds) Nonlinear Dynamics of Structures, Systems and Devices. Springer, Cham. https://doi.org/10.1007/978-3-030-34713-0_20
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DOI: https://doi.org/10.1007/978-3-030-34713-0_20
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