用瑞利-里兹法求解失重液滴的自由晃动

失重作用可能在空间中构造理想的球形液滴,它在空间流体科学、空间材料合成等中均有应用.在轨操纵中共振可能引起液滴的变形而影响实验质量,了解液滴晃动特性对空间实验的设计和避免与支撑结构的共振都有帮助.用瑞利-里兹法研究了失重液滴的自由晃动问题,给出了液滴自由晃动的频率和模态函数.可利用表面上的动力学条件研究自由液滴的晃动特性,但由于耦合系统复杂,往往用能量法加以研究.该方法作为一种能量法,可为进一步研究失重环境中的液滴和支撑结构的耦合振动问题提供可行的途径.

Using Rayleigh-Ritz method to solve free oscillation of a liquid drop in zero gravity

Due to absence the gravity,an ideal spherical liquid drop can be formed in the space environment that is useful for some experiments like space liquid science and on-orbit material composing.But the coupled vibration with its supporting structure may cause an undesirable distortion of the drop,so understanding its oscillation characteristic is essential.Using Rayleigh-Ritz method,this paper investigated the free oscillation of a liquid drop in zero gravity environment,and presented the natural frequencies a...