Actuator Layout,Control And Topology Optimization Research Of Reflector Antennas

As an important equipment in the aerospace field,the spaceborne reflector antenna has been widely used in military and national defense and other fields and has made important contributions to it.How to ensure the surface accuracy of the antenna,suppress the vibration of the antenna,and improve the overall structural strength of the antenna have gradually become the concerns of designers.In this thesis,the sectional offset reflector antenna is taken as the research object,and the optimization of the actuator layout,the active vibration control and the topology optimization are studied.(1)A gain-oriented modal truncation-based optimization method for actuator layout is proposed.According to the characteristic that the deformation of the structure can be represented by the linear superposition of modal vectors,the modal is introduced into the optimization model as a separate surface deformation error,and then the modal is selected by modal truncation to reduce the finite element model of the antenna.The gain-oriented modal truncation method is used to select the modal that contains both the antenna structure information and the electromagnetic information,and then the actuator layout is optimized by minimizing the evaluation function of the residual surface error.The modal truncation method and the layout optimization results of different solving methods show that the proposed method can effectively optimize the actuator layout,and can be applied to reflector antennas with irregular-shaped panels,while ensuring the shape of the antenna.accuracy and gain performance.(2)Based on the modal truncation results and the actuator layout optimization results,the active vibration control algorithm of the sectional offset reflector antenna is designed and the vibration control simulation is carried out.Firstly,the dynamic equation of the reflector antenna is established,and the state space equation of the control system is derived based on it.Then,according to the linear quadratic optimal control,the vibration active control algorithm of the sectional offset reflector antenna is designed based on the gain-oriented modal truncation results and the traditional modal truncation results,respectively.And two different weighting matrix determination methods are compared,the influence of the weighting matrix on the control results is studied.Finally,the active vibration control of the antenna is carried out using the optimization results of the actuator layout,and the effects of different weighting matrix determination methods and different modal truncation methods on the control system are compared through case simulation.(3)The topology optimization of the support structure of the sectional offset reflector antennas based on the guide-weight method provides theoretical guidance for the design of the structure of the antenna.The central fixed back is selected as the topological area,and then the optimization model is established with the goal of maximizing the fundamental frequency,and the guide-weight method is used to solve the optimization model.Research on the effect of density on the optimal topology results,and finally obtained the optimal topology structure through numerical simulation,and compared with the topology optimization results aiming at compliance.