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针对大型空间结构的热诱发振动问题,发展了一种热动力学耦合的有限元方法。将结构变形对入射热流的影响进行Taylor展开并略去高阶项,从而得到耦合结构变形的热传导方程,由振型叠加法得到减缩并解耦的动力学方程,然后通过时间积分方法混合迭代求解结构的热动力学响应。对哈勃太空望远镜太阳能帆板的热颤振行为,该方法所得数值解与文献理论解符合得较好。对复杂的空间结构给出了热动力学响应,并发现热动力学耦合效应和热诱发振动稳定性的决定因素是结构参数及加热条件。
Aiming at the problem of heat-induced vibration in large-scale space structures, a thermodynamically coupled finite element method is developed. The influence of structural deformation on the incident heat flow is expanded by Taylor and the high order term is omitted, and the heat conduction equation of the coupled structure deformation is obtained. The dynamic equations of reduction and decoupling are obtained by superposition of mode shapes, and then mixed and iteratively solved by time integral method Structural thermodynamic response. The thermal chattering behavior of the solar panel of the Hubble Space Telescope shows that the numerical solution obtained by this method is in good agreement with the literature theoretical solution. The thermodynamic response to complex spatial structures is given and it is found that the determinants of thermodynamic coupling effects and heat-induced vibration stability are the structural parameters and the heating conditions.