模块化桁架索网天线找形与展开动力学研究
常汉江，王碧，罗凯，田强，胡海岩
摘要:为了对单模块桁架索网天线展开动力学进行建模，首先，基于力密度法提出一种考虑桁架弹性变形的索网找形方法：渐近迭代力密度法。其次，基于绝对节点坐标法建立桁架刚柔耦合模型，采用等几何分析方法建立索网非线性有限元模型，进而根据第一类拉格朗日方程建立天线刚柔耦合系统动力学方程，并采用广义-α方法对动力学方程进行高效数值积分。最后，对桁架索网天线展开过程的动力学特性进行了研究和分析。研究结果表明：索网找形方案满足天线反射面形面精度要求，得到均匀的索段张力分布；展开过程中桁架竖杆应力最大，在展开末段，驱动滑块对桁架产生较大冲击。
关键词：桁架索网天线, 找形方法, 展开动力学, 等几何分析
Research on Form-Finding and Deployment Dynamics for Modular Cable-Truss Antenna
Hanjing Chang, Bi Wang, Kai Luo, Qiang Tian, Haiyan Hu
Abstract：In recent years, large deployable space structures such as modular space deployable antenna has great development potential to meet the nation's requirements in future space technology. The modular space deployable antenna is a rigid-flexible coupling multi-body system mainly composed of flexible supported truss, cable-net structure, metal mesh reflector and rigid joints. In order to indicate the dynamic response of the space deployable antenna, an asymptotic iterative form-finding method is proposed based on the force density method, and the rigid-flexible truss is modeling in the frame of the absolute nodal coordinate formulation. Besides, the cable-net structure is modeling with NURBS (Non-Uniform Rational B-Splines) cable element. Further more, the dynamic differential algebraic equations of the rigid-flexible system are established based on the first Lagrangian's equation, and the generalized -α method is used for the high-performance numerical integration. Finally, the dynamic deployable response of the modular cable-truss antenna is studied.
Keyword：cable-truss antenna, form-finding method, deployment dynamics, isogeometric analysis
原文链接：http://jdse.bit.edu.cn/sktcxbcn/ch/reader/view_abstract.aspx?file_no=20170403&flag=1
