摘要
建立具有非对称前、后索网面的旋转抛物面索网天线结构的计算模型,以索网节点的力平衡方程为依据,以前、后索网面中索段的最大拉力比最小为设计目标,给出索网天线结构预拉力的优化设计方法。考虑到索网结构中索段数目即优化变量个数(661)较多,在分析索网结构中内部索网部分力平衡特性的基础上,给出内部索网部分预拉力的一组近似最优解。结合索网天线结构的轴对称特性,将索网结构的预拉力优化问题最终简化为具有4个优化变量的优化模型并进行数值解算。以预拉力优化结果作为输入条件,进行索网结构找形过程的仿真分析。结果表明,索网结构的网面设计精度较高,网面索段的最大拉力比为1.24,验证了该方法的正确性及有效性。
A mathematical model of asymmetric cable net parabolic antenna is developed. Based on the structure node equations of force balance, an approach for cable pretension design is presented. The object of the design is to find uniform and batanced cable pretensions as soon as possible. Considering the complexity of the design problem, which has too many design variables, with a number of 661, a simplifying progress is done on the basis of the property of cable net structure. A relatively simple optimization model is finally established and numeric result for the design problem is obtained. Finite element model of the cable net structure, with the designed pretensions as its initial condition, is analyzed. The form-finding result shows that the designed model is nearly the same as the expected ideal model and the maximum pretension ratio of the net cables, with a value of 1.24, is considerably small. The result proves the correctness and effectiveness of the proposed approach.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2009年第8期308-312,共5页
Journal of Mechanical Engineering
基金
国家部委预研资助项目(51321040102)
关键词
可展开天线
索网
预拉力
Deployable antenna Cable net Pretension
