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基于能量、动量以及动量矩(角动量)守恒定律,该文对传统的拉格朗日方程进行了修正,将能量动量法应用于空间薄膜结构的展开分析中,该方法不仅保证了计算的精度和数值积分的稳定,而且在薄膜的非线性变形分析中,将小刚度模型引入薄膜的褶皱松弛分析,同时考虑了气体的热力学性能、气体与薄膜的耦合作用以及薄膜的自接触等问题。通过对充气管的展开分析,将模拟结果与文献实验结果进行了比较,发现充气管各个时刻的展开形态与实验结果吻合良好,且气压和体积随时间的变化与基本理论相符,从而验证了这种方法在模拟空间薄膜结构的展开分析中的可行性。最后运用能量动量法对一些典型的空间薄膜结构进行了数值分析。与传统的有限元分析方法相比,能量动量法能保证时间积分和迭代的稳定性,能有效地分析空间薄膜结构的展开,是一种比较精确的模拟方法。
Based on the laws of conservation of energy, momentum and moment of momentum (angular momentum), this paper modifies the traditional Lagrange equation and applies the energy momentum method in the unfolding analysis of the spatial thin film structure. This method not only ensures the accuracy of the calculation In the nonlinear deformation analysis of thin films, the small stiffness model is introduced into the wrinkle relaxation analysis of thin films, taking into account the thermodynamic properties of the gas, the coupling between the gas and the thin films and the self-contact of the thin films. Through the analysis of the inflated tube, the simulation results are compared with the experimental results of the literature. It is found that the unfolded morphology of the inflatable tube coincides well with the experimental results, and the changes of the pressure and volume over time are consistent with the basic theory. Feasibility of Kind of Method in Developing Analysis of Thin Film Structure in Space. Finally, the energy momentum method is used to analyze some typical space membrane structures. Compared with the traditional finite element analysis method, the energy momentum method can ensure the stability of time integral and iteration, and can effectively analyze the expansion of the space film structure. It is a relatively accurate simulation method.