Abstract
AbstractSteady-state solutions represent a significant subset of dynamics of a nonlinear system. Herein, they are concerned for a taut cable damped by a nonlinear damper near one cable end, for the purpose of maximizing cable damping. Periodic vibrations of the cable-damper system are efficiently analyzed using the multiharmonic balance method. Furthermore, a continuation method is employed to predict system responses to a range of excitation frequencies near the cable eigenfrequencies. Control effect is then evaluated and optimized based on the frequency response functions, and optimal damper parameters are determined meanwhile. The proposed procedure is implemented for studying two common structural dampers in cable vibration control, i.e., nonlinear viscous damper and friction damper. In both cases, alternating time/frequency domain strategy is integrated for evaluating the nonlinear force and pertinent stiffness, and analytical formulations are obtained, ensuring that strong nonlinear behavior such as...
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