Optimal design and analysis of deployable antenna truss structure based on dynamic characteristics restraints

摘要

A new deployable truss structure for large caliber antennas was presented in this work. The deploying process of the deployable structure was studied using the Moore-Penrose generalized inverse matrix method, from which each deploying state of the deployable truss was obtained through numerical simulations. By the geometrical models output by the self-programmed procedure, dynamic characteristics of the deployable structure were investigated in the deploying process. Based on the sensitivity analysis of the eigenvalues of free vibrations, dynamic characteristics and optimal design and analysis of the deployable antenna truss structure were also carried out. As a case, a deployable pantograph was studied using sequential quadratic programming (SQP) optimization method. Finally, to obtain the minimum weight, the deployable structure was analyzed repeatedly and optimized until the dynamic constraints were satisfied. The analytical results illustrate that to obtain the maximal stiffness based on the optimal weight, the thickness of the cube-shaped cross sections tends to be the minimum, whereas the diameter to be the maximum. The methodology proposed in this paper provides an efficient way to achieve optimal design for other kinds of structures. (C) 2020 Elsevier Masson SAS. All rights reserved.