充气薄膜结构的悬垂和充气展开过程

为了模拟充气薄膜结构的初始状态和充气运动过程,采用索网代替薄膜曲面.基于广义逆矩阵理论将位移增量中的弹性位移和刚体位移分开,分析薄膜的刚体运动,给出结构稳定的条件方程,分析薄膜的悬垂力学性能.利用空气分子数法得到气体体积的约束方程,求解充气展开分析的基本方程,得到结构的展开过程.将该方法用于分析六边形充气气枕,得到气枕在重力作用下的悬垂状态和充气展开过程的各个状态,稳定性判别参数不断趋向于零.分析结果验证了该方法可以用于分析柔性结构充气展开的整个过程.

Drape and inflatable mechanics of membrane inflatable structure

 Cable net was used to mesh membrane surface in order to simulate the initial state and inflatable process of membrane inflatable structure. Displacement increment was divided into elastic displacement and rigid-body displacement based on the generalized inverse matrix theory. The rigid-body motion of membrane structure was analyzed, and the condition formula of structures stable state was proposed. The draping mechanics of membrane was investigated. The restrict equation of gas volume was obtained by the gas molecule number method. The basic formula of inflatable process analysis was solved to get the inflatable process of structure. The method was used to simulate the mechanics of hexagon inflatable cushion. The drape state by gravity and each deployable state of inflatable cushion was obtained. The stability distinguishing parameter was tending to zero. The simulation results showed the capability and accuracy of the method in the inflatable analysis of flexible structure．