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Steady-State Analysis of Cable with Nonlinear Damper via Harmonic Balance Method for Maximizing Damping
| 题名： | Steady-State Analysis of Cable with Nonlinear Damper via Harmonic Balance Method for Maximizing Damping |
| 正文语种： | 英文 |
| 作者： | Lin Chen, A.M.ASCE;Limin Sun, A.M.ASCE |
| 作者单位： | Tongji Univ |
| 关键词： | Cable; Nonlinear dynamics; Power-law damper; Dry friction; Multiharmonic balance method; Steady-state response; Damper parameter optimization; Structural control. |
| 摘要： | Steady-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 non linear force and pertinent stiffness, and analytical formulations are obtained, ensuring that strong nonlinear behavior such as stick-slip motion is captured with affordable computational effort. Thanks to the efficiency of this methodology, extensive parametric studies are possible in determining the optimal damping effect and associated damper parameters for varied damper locations and cable modes. Numerical results confirm that nonlinear damper is advantageous over linear damper in terms of maximum attainable damping because nonlinearity can induce energy transfer from lower modes to more higher modes. This advantage becomes more apparent when the damper is closer to the cable end and targeted to suppress lower-mode cable vibrations because wherein, more higher modes are able to be excited. The damper nonlinearity is also found optimizable for specific damper location and cable mode. Those findings, among others, are of practical significance for cable damper design. DOI: 10.106l/(ASCE)ST.1943-541X.0001645. © 2016 American Society of Civil Engineers. |
| 出版日期： | 2017.02 |
| 出版年： | 2017 |
| 期刊名称： | Journal of Structural Engineering |
| 卷： | Vol.143 |
| 期： | NO.02 |
| 页码： | 04016172 |
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