大型柔性空间结构热-非线性动力学耦合有限元分析  

Coupled thermal and nonlinear dynamics finite element analysis of flexible large space structures

作　　者：段进[1] 薛明德[1] 向志海[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）》2008年第2期276-279,284,共5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：该文从三维固体力学基本方程和虚功原理出发,考虑几何非线性和截面翘曲的影响,发展了一种热-动力学耦合分析薄壁杆单元,并采用Newmark方法和Newton-Raphson迭代联合求解。其大转动问题采用Rodrigues公式考虑,其截面温度分解为平均温度和摄动温度。该文将瞬态温度场分析和几何非线性很好地统一起来,大大降低了计算规模,为复杂柔性空间结构的热-动力学分析提供了一套求解方案。通过与文献中的数值算例比较,验证了该方法的可靠性。利用该方法分析哈勃望远镜的太阳翼,解释了其扭转振动和动力屈曲等问题。A consistent beam element was developed for a coupled thermally and dynamics finite element analysis from solid mechanics theory and the basic principles of virtual work. The geometric nonlinearities and sectional warping are taken into account. Large rotation is considered by the structural element using Rodrigues formula. Besides, the nodal temperature variables are decomposed into both the average and the perturbation temperatures. The nonlinear governing equation is solved using the Newmark method and Newton-Raphson iteration. A transient temperature analysis is consolidated with a geometric nonlinear displacement analysis by the beam element for analyzing the coupled nonlinear thermal and dynamics response of large flexible space structures, The validity of the method is verified by comparing with well-known numerical simulations in the literature. A thermal and dynamics analysis of the HST solar array is presented to demonstrate the performance of the scheme.

关 键 词：空间结构 热-动力学分析 大转动 几何非线性 翘曲 

分 类 号：V414.1[航空宇航科学与技术—航空宇航推进理论与工程]