微重环境下平移圆柱贮箱液固耦合系统的动力响应研究

以一种新的方法建立了在微重力环境、横向激励下圆柱贮箱液固耦合系统的动力学方程．对耦合系统的液体子系统采用压力体积分形式的拉格朗日函数，并将速度势函数在自由液面处作波高函数的级数展开，从而导出自由液面运动学和动力学边界条件的非线性方程组，而对结构子系统则采用标准形式的拉格朗日函数（动能减去势能），用变分原理和拉格朗日方程建立耦合系统的动力学方程，最后用4阶Runge-Kutta法求解非线性方程组，得到了耦舍系统的幅频特性曲线．此方法大大减少了公式推导量，而且得到的是降阶的耦合方程组．计算发现：随着Bond数的减小，耦合系统的响应频率先增大后减小，而响应幅值逐渐增大．

Dynamic Response of Micro-Gravity Liquid-Structure Coupling System Under Horizontal Excitation

The dynamic equations for the coupling system of cylindrical tank partially filled with liquid are established under horizontal excitation in micro-gravity environment.For liquid subsystems,Lagrange functions in the form of volume integration of pressure are adopted,then the velocity potential function is expanded in series by wave height function at the free surface,and the nonlinear equations with kinematic and dynamic free surface boundary conditions are derived.While for structure subsystems,the standard Lagrange functions(kinetic energy minus potential energy) are used.The nonlinear coupled dynamic equations are solved with the fourth order Runge-Kutta method,and the frequency-amplitude curves are demonstrated.This method obviously simplifies the derivation of formulas,and obtains the coupled equations with lower order.The result indicates that with decreasing Bond number,the frequencies of the coupling system first increase and then decrease,while the amplitude increases gradually.