Modelling and feedforward control of wave propagation in an orthotropic rectangular panel based on a transfer matrix method
Modelling and feedforward control of wave propagation in an orthotropic rectangular panel based on a transfer matrix method
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基于传递矩阵法的正交各向异性矩形板中波传播的建模与前馈控制
DOI：
10.1016/j.jsv.2020.115639
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发表时间：
2020
影响因子：
4.7
通讯作者：
Tanaka Nobuo
中科院分区：
文献类型：
--
作者：
Iwamoto Hiroyuki;Hisano Shotaro;Tanaka Nobuo
本文对正交各向异性矩形板中弯曲波的建模和主动控制进行了理论研究。主要目的是阐明正交各向异性矩形板的波动动力学特性，并提出基于传递矩阵法的波传播前馈控制。通过对正交各向异性矩形板的波动力学数值研究，发现在正交各向异性矩形板中存在两种类型的开断频率，弯曲波的类型分为渐进波、倏逝波和变幅渐进波。其次，在推导了反射波吸收控制（RWAC）和透射波消除控制（TWEC）规律后，对有源波控制系统进行了数值模拟。明确了当控制力数目与目标模态组数目相同时，RWAC使振动模态失活，TWEC使正交异性矩形板处于无振动状态。并且，当控制力的个数小于目标模式组的个数时，控制力的最优位置在离扰动力更近的非目标模式组的节点线附近。
This paper presents a theoretical study on the modelling and active control of bending waves propagating in an orthotropic rectangular panel. The main objectives are to clarify the characteristics of the wave dynamics of an orthotropic rectangular panel and to propose the feedforward control of wave propagation based on a transfer matrix method. As a result of the numerical investigation of the wave dynamics, it is found that there are two types of cut-on frequency in the orthotropic rectangular panel, and the type of bending waves are categorised into progressive, evanescent, and amplitude-varying progressive waves. Next, after the reflected wave absorbing control (RWAC) and the transmitted wave eliminating control (TWEC) laws are derived, numerical simulations on an active wave control system are performed. It is clarified that if the number of control forces is same as that of target mode groups, the RWAC enables the inactivation of vibration modes, and the TWEC enables the vibration-free state in the orthotropic rectangular panel. Moreover, it is concluded that if the number of control forces is lower than that of target mode group, the optimal position of the control force is around the nodal line of the non-targeted mode group which is closer to the disturbance force.