空间可展桁架结构动力学分析

采用广义逆矩阵方法分析空间可展桁架结构的运动过程。以笛卡尔坐标系下节点的自然坐标为未知量，建立桁架结构展开过程的动力学基本方程，将约束方程嵌入动力学方程，导出一组不含乘子且方程数目等于结构自由度数的动力学方程。采用主动校正法对数值分析的约束违约进行了修正。提出了一种切实有效的数学算法构造了约束方程及其雅可比矩阵，实时地模拟了结构收纳过程的约束条件。自行编制的仿真程序算例证明了该分析方法的正确性。

Dynamic analysis of deployable space truss structures

The moving process of deployable space truss structures was analyzed with the Moore-Penrose generalized inverse matrix.Dynamic equations of deployable space truss structures were formulated with Cartesian coordinates of the idealized truss joint as variables.Integration the constraint equation into the dynamic equations yields a group of dynamic equations with no coefficients,and the number of the equations is the same as that of the structure's degree of freedom.The constraint violations of the numerical solution were modified using an active modifying method.A practical mathematical algorithm was presented to formulate the constraint equations and the relevant Jocobi matrices,and to simulate the constraint conditions of the structural deployment.Programmed simulation shows that the method is correct and effective.