Force density sensitivity form-finding design method for cable-mesh reflector antennas considering interactive effects between cable network and supporting truss

作     者：Zhang, Shunji Zhang, Shuxin Zhang, Yiqun Ye, Jing 

作者机构：Shaanxi Key Lab Space Solar Power Stn Syst Xian 710071 Peoples R China Xidian Univ Sch Electromech Engn Xian 710071 Peoples R China 

出 版 物：《ENGINEERING STRUCTURES》 (Eng. Struct.)

年 卷 期：2021年第244卷

核心收录：

学科分类：08[工学] 081402[工学-结构工程] 081304[工学-建筑技术科学] 0813[工学-建筑学] 0814[工学-土木工程] 

基　　金：National Natural Sciences Founda-tion of China [51705388, 51675398] Young Talent Fund of University Association for Science and Technology in Shaanxi, China 

主　　题：Form-finding Force density sensitivity matrix Sequential quadratic programming Cable-mesh reflector 

摘      要：Form-finding design is critical in determining whether a cable-mesh reflector antenna can meet electrical performance requirements. However, the current methods rarely consider the interactive effects between the cable network and the supporting truss in the form-finding process, which requires more iteration steps for good design results. This study presents a force density sensitivity form-finding design method for cable-mesh reflector antennas based on systematic equilibrium equations. The sensitivity matrix of the support truss vertex and the cable network free node is derived with respect to force density, and the form-finding process of the reflector antenna is transformed into a sequential quadratic programming problem that can be easily solved. The antenna meets the accuracy requirements, and has a more uniform distribution of internal cable net tension and a smaller truss deformation as a result of constraining the vertex deformation of the supporting truss and cable tension. For practical engineering problems, more accurate design results can be obtained quickly. The effectiveness of the proposed method is verified through numerical examples.