【摘要】 以一种新方法建立了俯仰激励下圆柱贮箱类液固耦合系统的动力学方程。对液体子系统和结构子系统分别得到压力体积分形式的 L agrange函数和标准形式 L agrange函数 (动能减去势能 ) ,由变分方程和 L agrange方程可以建立系统的动力学方程。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、分叉等非线性动力学现象更多还原

【Abstract】 A new method to establish the dynamic equations of the coupling system comprising a structure to which a cylindrical tank partially filled with liquid is attached, and which is subjected to a pitching excitation. Based on Lagrangion function in the form of a volume integration of liquid pressure superposed on the standard Lagrange function (kinetic energy minus potential energy), corresponding to liquid subsystem and structure subsystem respectively, the nonilnear coupled dynamic equations of the coupling system are established by means of variation principle and Lagrangion equation. Through numerical simulation, it is found that nonlinear dynamic phenomenon, such as zero drift and bifurcation, will appear at certain range of excitation amplitude and frequency in the concerned coupling system.更多还原