摘要
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。
The energy-momentum method based on a modifying conventional Lagrange equation and the conservation of energy/momentum and angular momentum is applied for the deployment analysis of space membrane structures,and it achieves computation accuracy and the unconventionally stable time integration.During non-linear deformation analysis,a stiffness reduction model of membrane wrinkle and slack is introduced,and the thermodynamic property of gas,the interaction between gas and membrane,self-contact of the membrane and so on are taken into account.Results of a micro gravity experiment are presented for the deployment of an inflatable tube.The simulation results obtained from the proposed numerical method agree with the experimental results very well,the variation of pressure and volume according to the basic theory,which shows the proposed numerical method,is suitable for the deployment analysis of the space membrane structures.Finally,numerical analyses of some typical space membrane structures in the energy-momentum method are conducted.Compared to conventional finite element methods,the energy-momentum method provides much flexibility for solving deployment analyses of space membrane structures because of this method can guarantee the stabilization of time integral and iteration.
出处
《工程力学》
EI
CSCD
北大核心
2011年第4期122-127,共6页
Engineering Mechanics
基金
民用航天科研预先研究项目(C1320060312)
关键词
空间结构
展开动力学
能量动量法
薄膜
展开分析
space structures
deployment dynamics
energy-momentum method
membrane
deployment simulation
作者简介
肖潇（1968-），男，湖南衡阳人，副教授，博士，从事空间结构和展开结构研究（E—mail：brightxiao@163．com）
关富玲（1945-），女，北京人，教授，博士，博导，从事空间结构和展开结构研究（E-mail：ciegfl@zju．edu．cn）；
程亮（1986-），男，湖北黄冈人，硕士生，从事空间结构和展开结构研究（E-mail：chltumu@163．com）
