关键词: 反射面天线, 极小范数, 索网反射面, 预拉力

Abstract: To ensure space-borne mesh antenna reflector on state has a stable surface shape under vibration and thermal environments, the mesh structure shall be pre-stressed. Based on the component characteristics of mesh antenna structure, the cable pretension design process is divided into three stages, i.e., the tension optimum design of cables in the front net, the calculation of tensions in the tension ties, and the tension optimum design of cables in the rear net. While optimization design on tensions is done for the cables in the front net or in the rear net, the squared deviation of each tension from the mean is used to measure the uniformity of the tensions, and the smaller is the squared deviation, the more evenly the net cable tensions are thought to be. With the force balance equations of the net structure as the main constraints, tension optimum design models are established. Based on the concept of the least-norm solution of consistent linear equation system, method for solving the optimization models is developed. Simulation results show the effectiveness of the measure criterion on the uniformity of the cable tensions, and the effectiveness of the resolution method on solving the optimization models.

Key words: Least-norm, Mesh reflector, Pretension, Reflector antennas