Deployable mesh reflector antenna is one essential key equipment in aerospace and defense such as satellite communications, electronic surveillance, earth observation, remote sensing and terrestrial deep space exploration etc. The geometric design pre-tension design of cable net structure and static analysis are researched in this thesis as following:Firstly, we obtained RMS of cable net reflective surface which is based on operating frequency design requirements, select suitable spherical reference surface, generate cable net connection, optimal and adjust curvature of each ring, generate nodal coordinates of cable net, mapping the nodal coordinates of reference sphere and cable net connections to parabolic surface, generate the working surface of mesh reflector.Secondly, we transform the problem of pre-tension design into a standard quadratic programming problem which consider the coefficient of independent linear space-based as optimization variables, the problem based on force balance equation of nodes, independent space-based of linear algebra and expand the force size of cable. Finally we proposed a method of pre-tension design of mesh reflector which have smaller surface shape error and uniform distribution of the pre-tension.Finally, we generated nonlinear static analysis model of mesh reflector structure which based on Stiffness Method and Finite Element Method, transform the solving nonlinear problem into an unconstrained problem. We use trust region method for solving, the result indicates the static method we suggested has good practicality and feasibility. |