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模块化桁架索网天线找形与展开动力学研究
常汉江1, 王碧2, 罗凯1, 田强1, 胡海岩1
1.北京理工大学 宇航学院, 北京 100081;2.上海宇航系统工程研究所, 上海 201108
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
DOI:10.15982/j.issn.2095-7777.2017.04.003
分类号:
基金项目:国家自然科学基金资助项目(11290151)
Research on Form-Finding and Deployment Dynamics for Modular Cable-Truss Antenna
CHANG Hanjing1, WANG Bi2, LUO Kai1, TIAN Qiang1, HU Haiyan1
1.School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;2.Aerospace System Engineering Shanghai, Shanghai 201108, China
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.
Key words:  cable-truss antenna;form-finding method;deployment dynamics;isogeometric analysis