Shape-state Optimal Design of Cable-membrane-truss Antenna Based on Improved Force Density Method and Nonlinear Finite Element Method

doi:10.3901/JME.2023.09.252

Abstract

Abstract: The pre-tension of the cable-membrane composite structure will act on the supporting truss through the boundary cable force to cause the truss deformation, and the deformation of the truss will change the boundary shape and pre-tension distribution of the cable-membrane composite structure. This is the force-shape coupling problem of the cable-membrane-truss structure. Aiming at the force-shape coupling problem that is common in cable-membrane-truss antennas, a shape-state optimal design method based on improved force density method and nonlinear finite element method is proposed. First, the improved force density balance equation of the cable-membrane composite structure is derived, and the initial shape of the cable-membrane composite structure when the boundary is fixed is determined by the force density iteration method as the initial value of the shape-state optimal design. Then the nonlinear finite element balance equation of the cable-membrane-truss composite structure is derived, and the pretension of the cable and the membrane is used as the design variable, the best fitting shape accuracy of the membrane reflective surface is the optimization goal, and the cable-membrane composite structure is not slacked or wrinkled are constraints to establish the shape-state optimal design model. Finally, the effectiveness of the proposed method is verified by shape-state optimal design simulation of a 5m cable-membrane-truss antenna and a 20m offset cable-membrane-truss antenna. The design of a cable-membrane-truss antenna with a diameter of 5 meters has been measured by a physical model and the expected results have been obtained.

Key words: cable-membrane-truss structure, reflector antenna, truss deformation, shape-state optimal design

CLC Number:

V443

GU Yongzhen, DUAN Baoyan, DU Jingli, SHI Weijie, ZHANG Yongtao, WU Lupeng, FENG Shufei. Shape-state Optimal Design of Cable-membrane-truss Antenna Based on Improved Force Density Method and Nonlinear Finite Element Method[J]. Journal of Mechanical Engineering, 2023, 59(9): 252-262.

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