矩形贮箱类液固耦合系统的平动响应研究

Study on Dynamic Response of the Liquid-Solid Coupling System with the Liquid in a Rectangular Container under Horizontal Excitation

采用与以往不同的方式 ,综合运用两种不同形式的 L agrange函数 ,以简洁的方式建立了常重力下受到水平激励的矩形贮箱类液固耦合系统的耦合动力学方程。该方法大大减少了公式推导 ,且所得的动力学方程是降阶的。通过数值仿真发现 ,在一定的激励幅值和频率下 ,该耦合系统会出现零点漂移等非线性动力学现象。

Based on two different kinds of Lagrange function,a new method is presented to establish coupled dynamic equations of the coupling system containing a structure to which a rectangular tank partially filled with liquid is attached and which is subjected to a horizontal excitation in the case of normal gravity.The present method greatly simplifies the derivation of formula.And then,the coupled dynamic equations are reduced into the lower-order equation.It is found from numerical simulation that the so-called zero-drift,a nonlinear dynamic phenomenon,will appear at a certain amplitude and frequency of excitation for the coupling system.