Modelling and energy transfer in the coupled nonlinear response of a 1:1 internally resonant cable system with a tuned mass damper
Modelling and energy transfer in the coupled nonlinear response of a 1:1 internally resonant cable system with a tuned mass damper
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具有调谐质量阻尼器的 1:1 内部谐振电缆系统的耦合非线性响应中的建模和能量传输
DOI：
10.1016/j.ymssp.2021.108058
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发表时间：
2022
影响因子：
8.4
通讯作者：
Tieding Guo
中科院分区：
文献类型：
--
作者：
Xiaoyang Su;Houjun Kang;Tieding Guo
考虑调谐质量阻尼器(TMD)的振动，建立了由拉索和TMD组成的动力学模型。与以往的研究不同，本文主要通过考虑阻尼器参与能量传递和拉索与阻尼器之间的耦合作用来研究模型的非线性行为。根据推广的哈密顿原理，推导了缆索和TMD的经典运动方程。基于斜拉索和TMD的运动方程，研究了斜拉索发生外主共振时系统的一对一内共振。应用Galerkin方法，得到了一组常微分方程组。为了求解常微分方程组，采用了多时间标度法，并推导了调制方程。用牛顿-拉夫森方法求出调制方程的稳定解，并用伪弧长算法继续求解。同时，通过频率-力-响应曲线对TMD的激励幅值、弹簧刚度、TMD的阻尼比和位置以及拉索的垂度等关键参数进行了参数分析，探讨了系统的非线性行为。结果表明，TMD在能量消耗和能量传递中起着重要的作用。
Considering the vibration of a Tuned Mass Damper (TMD), a dynamic model composed of the cable and TMD is investigated. Different from the other studies, this paper is mainly devoted to nonlinear behaviours of the model by considering the participation of the damper in energy transfer and coupling interaction between the cable and damper. According to the extended Hamilton’s principle, the classical equations of motion of the cable and TMD are derived. Based on the equations of motion of the cable and TMD, the one-to-one internal resonance of the system is studied when external primary resonance of the cable occurs. By applying the Galerkin’s method, a set of ordinary differential equations (ODEs) are obtained. To solve the ODEs, the multiple time scale method is used and the modulation equations are derived. The stable solutions of the modulation equations are acquired by Newton-Raphson method and continued by pseudo arclength algorithm. Meanwhile, the parametric analyses of some key parameters, such as the excitation amplitude, the spring stiffness, the damping ratio and position of the TMD and the sag of the cable, are carried out through frequency-/force-response curves to explore the nonlinear behaviours of the system. The results show that the TMD plays an important role in both energy consumption and energy transfer.
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影响因子：
4.7
作者：
Qiang Zhou;S. Nielsen;W. Qu
通讯作者：
Qiang Zhou;S. Nielsen;W. Qu
影响因子：
5.6
作者：
Xiaoyang Su;Houjun Kang;Jiefu Chen;Tieding Guo;Ceshi Sun;Yueyu Zhao
通讯作者：
Yueyu Zhao
DOI：
10.5860/choice.32-6286
发表时间：
1995
期刊：
--
影响因子：
--
作者：
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通讯作者：
Ali H. Nayfeh;Balakumar Balachandran
影响因子：
3.2
作者：
N. Perkins
通讯作者：
N. Perkins
影响因子：
3.6
作者：
H. Tabatabai;A. Mehrabi
通讯作者：
H. Tabatabai;A. Mehrabi