基于径向基函数代理模型的M 形杆刚度优化

In the execution of space missions, the hyper-elastic boom is mainly used in the deployment and support of large space deployable antennas and solar sails. In order to improve the supporting effect of the hyper-elastic boom in the state of deployment, the stiffness of the M-shaped hyper-elastic boom (M boom) with different sizes was studied. By using ABAQUS, the M boom’ s bending, compression, and torsion finite element models were created, and an explicit dynamic method was used to carry out a nonlinear numerical simulation of the M boom’ s buckling process. The bending stiffness, torsional stiffness and compression stiffness were taken as optimization objectives, the mass as constraint, and the cross-section arc length and radius as independent variables to establish the optimization model. The full factor method was used to design the experiment, the radial basis function (RBF) was used to establish the buckling surrogate model of the M boom, using the particle swarm optimization (PSO) algorithm to perform parameter optimization of the M boom. The ideal values for the length of bonding segment and the central angle were 7.894 5 mm and 26°, and the variation rule of stiffness with the length of bonding segment and the central angle was obtained.