基于径向基函数代理模型的M形杆刚度优化

在航天任务的执行中, 超弹性杆主要用于大型空间可展天线和太阳帆等展开和支撑。为了提高超弹性杆在展开状态下的刚度, 提出了一种新型M形超弹性杆, 并对M形超弹性杆的刚度进行了研究。采用ABAQUS建立M形超弹性杆的弯曲、压缩和扭转的有限元模型, 利用显示动力学法对屈曲过程进行非线性数值模拟。采用全因子法进行实验设计, 利用径向基函数(RBF)建立M形超弹性杆屈曲过程性能参数的代理模型。以弯曲刚度、扭转刚度和压缩刚度为优化目标, 以质量为约束, 选取黏结段长度和内侧带簧片圆心角为自变量建立优化模型。采用粒子群(PSO)算法进行M形超弹性杆参数优化, 得到最优刚度下, 黏结段长度为7.894 5 mm, 圆心角为26°, 并且得到刚度随其变化规律。 

Stiffness optimization of M-shaped boom based on radial basis function surrogate model

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.