基于量纲分析的充气薄膜结构动态特性分析

摘要

在分析某一具有内部结构的空间充气薄膜结构动力学特性的基础上，对影响充气薄膜结构动力学特性的参数进行了量纲分析，减少了自变量个数。得到了无量纲形式的因果关系后，通过有限元模型计算了无量纲自变量与因变量之间的变化曲线，结果表明，由于具有内部结构的充气结构在充入压力后会发生大变形，并且由于预应力造成应力刚度效应不均匀，因此，随着压力的增加或薄膜厚度的增加，各阶模态固有频率并不是全部增加或减小的。%The dynamic characteristic of space inflatable membrane structures with internal structures was generally complex. Dimensional analysis was employed to reduce the number of independent variables. Dimensionless form of dynamic characteristic was obtained. The relationships between the dimensionless independent variables and dependent variables were computed by the finite element model. It was showed that the deflection of the space inflatable membrane structure was large because of the internal pressure. The stress stiffening effects were inhomogeneous. Therefore the natural frequency of the space inflatable membrane structure changed differently with the increase of internal pressure or membrane thickness.