摘要
以空间薄壁圆管为研究对象，分析其在持续热流作用下并同时考虑热-结构耦合关系及参数具有随机性时的动力响应问题。为了便于分析由截面温差引起的热振动，将温度场分解为平均温度和扰动温度两部分，在此基础上建立了热-结构耦合动力学有限元模型，并采用时间域内温度场和动力响应交替迭代进行的近似计算方法，其中温度场的求解利用时间差分法和牛顿迭代法，动力响应则利用Newmark积分法。从各响应的求解迭代格式出发，分别使用矩法和随机因子法推导了温度场及动力响应的数字特征表达式，并通过各时间步内对温度场和动力响应的交替迭计算可求得整个时间域内的温度和动力响应均值与方差。最后以哈勃太空望远镜为算例考察了热-结构耦合对其悬臂薄壁圆管梁的热颤振影响以及参数的随机性对响应分散性的影响，并利用Monte-Carlo法验证了文中方法的可行性。
Abstract
The dynamic response for space structures consisting of thin walled pipe which are subjected to solar heat flux has been analyzed, and then this problem has been developed taking into account the thermo-structural coupling and the randomness of parameters. For analyzing thermal vibration due to temperature difference in the cross section conveniently, temperature field is divided into two parts including average temperature and disturbance temperature, then the dynamic model considering thermo-structural coupling is set up using the finite element method. The model can be solved by the approximate calculation method through alternating iterative between temperature field and dynamic response in the time domain. Temperature field is solved by using the method of time integral and Newton-iteration, while dynamic response can be found through Newmark integral method. Starting from the solving iterative format of each response, the computational expressions for the numerical characteristics of temperature field and dynamic response are derived, respectively, by the method of moments and random factor. Through the alternate iterative algorithm in each time step, the mean value and variance of response in whole time domain are obtained. Finally, Hubble Space Telescope is taken as an example. Thermal flutter for thin-walled cantilever beam due to thermo-structural coupling is showed, and the influence of dynamic response due to the randomness of parameters also be found, through comparing with the Monte Carlo method, validating the feasibility of the method in this paper.
关键词
空间结构 热-结构耦合 随机因子法 Newmark积分法 数字特征
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Key words
Space structure /
Thermo-structural coupling /
Random factor method /
Newmark method /
Numerical characteristic
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阎彬;陈建军;马洪波;靳红玲.
空间结构在考虑热-结构耦合关系下的动力响应随机性分析[J]. 振动与冲击, 2012, 31(18): 115-121
Yan Bin Chen Jian-jun Ma Hong-bo Jin Hong-ling.
Randomness Analysis of Space Structures Considering Thermo-structural Coupling[J]. Journal of Vibration and Shock, 2012, 31(18): 115-121
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脚注
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