大型空间结构热诱发振动的有限元分析  

Thermally induced vibration analysis of large space structures using the finite element method

作　　者：姚海民[1] 薛明德[1] 丁勇[1] 

机构地区：[1]清华大学工程力学系,北京100084

出　　处：《清华大学学报（自然科学版）》2002年第11期1524-1527,共4页Journal of Tsinghua University(Science and Technology)

基　　金：国家"八六三"高技术项目(863-2-2-1-9)

摘　　要：提出了基于有限元和模态分析的方法来研究大型空间结构热诱发振动。通过模态变换,利用振型向量与质量阵和刚度阵的正交性,得到解耦的运动方程。先求出广义激励下各模态的响应,然后叠加起来得到系统的总响应。对哈勃太空望远镜的太阳能帆板,运用所提出的方法求得的数值解和文献理论解符合得较好。针对复杂的空间结构,给出了频率、振型和热诱发振动的响应。A method was developed to analyze thermally induced vibrations of large space structures based on the finite element method and modal analysis. Uncoupled differential equations of motion were obtained by utilizing the modal transformation and the orthogonality of the mode shapes with respect to the mass and stiffness matrices. The total dynamic response is the sum of the response components of every mode shape. Numerical calculations presented for the solar arrays on the Hubble Space Telescope agree well with the theoretical solution. Thermally induced vibrations of complex solar arrays can be analyzed to determine the solar array frequencies, mode shapes and thermally induced vibration behavior.

关 键 词：有限元分析 太阳能帆板 空间结构 热诱发振动 热弹性方程 哈勃太空望远镜 

分 类 号：V414.42[航空宇航科学与技术—航空宇航推进理论与工程]