Using spherical coordinates, the coupling nonlinear dynamic system of a liquid-filled spherical tank, which can be excited discretionarily, is deduced by the H-O varia- tional principle, and the viscous damping is introduced via the liquid dissipation function. The kinetic equations of the coupling system are deduced by the relationship between the velocity of liquid particles and the disturbed liquid surface equation. Normal differential equations are obtained through the Galerkin method. An equivalent mechanical model is developed for liquid sloshing in a spherical tank subject to arbitrary excitation. The fixed and slosh masses, as well as the spring and damping constants, are determined in such a way as to satisfy the principle of equivalence. Numerical simulations illustrate the theoretical results in this paper as well.
以航天器交会对接过程中的平移靠拢段作为背景,研究适用于零重力和微重力环境下液体运动的等效力学模型.以欧空局无人货运飞船(ATV,automatic transfer vehicle)中建立的等效模型为参考,提出一种适用于零/微重力球形贮箱中液体晃动的弹簧-质量等效力学模型.该模型的各个参数通过将基于CFD计算的参数辨识方法和用于常重力液体晃动的传统建模方法结合运用来获取.对该模型进行介绍,然后描述等效模型参数的获取方法,并利用虚功率原理推导了晃动力和力矩的求解方程.通过与CFD软件Flow-3d的结果进行对比,对这种建模方法的可行性和准确性进行了分析.
