考虑摩擦的周边桁架式可展天线展开动力学分析

Deployment Dynamic Analysis of Circular Truss Deployable Antenna With Friction

结合一种周边桁架式可展天线的模型制作,介绍了该类天线的总体布局、展开收纳机理和设计要点; 然后提出了切实有效的数学算法,有效地构造了约束方程及其Jacobi矩阵,实时地模拟了结构收纳过程的约束条件,采用广义逆矩阵的方法分析了周边可展桁架运动过程;研究了摩擦这一非线性因素在其展开过程中的作用机理,建立其展开动力学模型,实现了考虑摩擦的周边桁架式可展天线结构展开动力学分析．编制了仿真程序进行算例分析,验证了分析方法的有效性．

Through a design of circular truss deployable antenna model, the primary layout and deployable mechanism and the primary technique requirements are introduced in detail. In order to provide reference for optimization design and predict the dynamic performance of the deployable structure in orbit accurately, deployment dynamic analysis of the structure with friction is essential. The movement property of deployable space truss structure is analyzed with the Moore-Penrose generalized inverse method. A practical mathematic algorithm is presented to formulate the constraint equations and the relevant Jacobian matrices, and to simulate the constraint conditions of the structural deployment effectively. By studying the non-linear action mechanism of the friction during deployment, the dynamic equations of Coulomb friction and viscous friction for the deployable structures are established. Based on the above work, deployment dynamic analysis of circular truss deployable antenna with friction is carried out. The deployment dynamic of a circular truss deployable structure is simulated with friction effects and without friction. The numerical simulations show that the analytical process is efficient for deployment dynamic analysis of circular truss deployable antenna with friction.