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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 based on finite element and modal analysis is proposed to study the thermally induced vibration of large-scale space structures. Through the modal transformation, using the orthogonality between the mode vector and the mass matrix and the stiffness matrix, the decoupled equations of motion are obtained. First find the response of each mode under generalized excitation, and then add up to get the total response of the system. The numerical solution of the solar panel of the Hubble Space Telescope obtained by the proposed method is in good agreement with the literature theoretical solution. For complex spatial structures, the response of frequency, mode shape and heat-induced vibration are given.