东南大学学报（英文版）2018，Vol.34Issue(2)：213-219,7.DOI:10.3969/j.issn.1003-7985.2018.02.011
考虑形状约束的可展天线找力分析
Force-finding analysis of cable-net deployable antenna considering shape constraints
摘要
Abstract
The force-finding process of the cable-net in the deployable mesh reflector antenna, AstroMesh, is investigated to optimize the pretension distribution and satisfy surface accuracy. Since the geometry and topology of the mesh reflector antennas are given as a constraint with the boundary condition assumed to be fixed, the force-finding process can be performed on a constant equilibrium matrix to obtain a feasible set of forces. Then, the equilibrium matrix can be rewritten in terms of force modes after the singular value decomposition. The object of force design is to minimize the deviation of member forces and, therefore, the surface accuracy can be guaranteed by transforming an optimization of the distribution of prestresses into an optimization with multiple prestress modes. Finally, numerical examples solved by the sequential quadratic programming ( SQP) algorithm and the genetic algorithm are given to validate the efficiency of the proposed method. The comparison results show that the genetic method can converge to the optimized point after approximately 50 iterations while the converging process of the sequential quadratic programming method depends largely on the initial points.关键词
AstroMesh/找力/形状约束/优化/形面精度Key words
AstroMesh/force-finding/shape constraint/optimization/surface accuracy分类
信息技术与安全科学引用本文复制引用
王馨玉,Zhang Jinyao,蔡建国,冯健..考虑形状约束的可展天线找力分析[J].东南大学学报（英文版）,2018,34(2):213-219,7.基金项目
The National Natural Science Foundation of China ( No. 51308106, 51578133) , the Natural Science Foundation of Jiangsu Province ( No. BK20130614 ) , the Specialized Research Fund for the Doctoral Program of Higher Education ( No. 20130092120018) , the Pro-ject Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions, the Excellent Young Teachers Program of Southeast University , the Postgraduate Research &Practice Innovation Program of Jiangsu Province ( No. KYCX18_0105) . （ No. 51308106, 51578133）
