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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。
Based on the basic equations of 3D solid mechanics and the principle of virtual work, a thermo-dynamic coupled thin-walled rod element is developed considering the effects of geometric nonlinearity and cross-section warping. Newmark method and Newton-Raphson iteration Solve. Considering Rodrigues formula, the large rotation problem is decomposed into the average temperature and the perturbation temperature. In this paper, the transient temperature field analysis and geometrical nonlinearity are well unified, which greatly reduces the calculation scale and provides a solution scheme for the thermo-dynamic analysis of complex flexible space structures. The reliability of this method is verified by comparison with numerical examples in the literature. Using this method to analyze the solar wing of the Hubble telescope, the problems of torsional vibration and dynamic buckling are explained.