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Multiple internal resonances and non-planar dynamics of shallow suspended cables to the harmonic excitations
Authors:Lianhua Wang  Yueyu Zhao
Institution:College of Civil Engineering, Hunan University, Changsha, Hunan 410082, PR China
Abstract:In the present study, the nonlinear response of a shallow suspended cable with multiple internal resonances to the primary resonance excitation is investigated. The method of multiple scales is applied directly to the nonlinear equations of motion and associated boundary conditions to obtain the modulation equations and approximate solutions of the cable. Frequency–response curves and force–response curves are used to study the equilibrium solution and its stability. The effects of the excitation amplitude on the frequency–response curves of the cable are also analyzed. Moreover, the chaotic dynamics of the shallow suspended cable is investigated by means of numerical simulations.
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