基于Kriging模型的环形桁架可展天线结构参数优化方法

Parameters optimization algorithm for ring truss deployable antenna structures based on Kriging model

针对传统结构动力学优化过程中求解效率较低的问题,以环形桁架可展天线结构参数优化为研究背景,在环形桁架可展天线结构的参数变量空间中,以试验设计方法选取样本点,通过有限元方法得到各个样本点的第一阶固有频率、固定载荷最大变形等响应值,利用样本点和响应值的关系建立Kriging近似模型进行优化算法的寻优,得到满足所有约束条件的最优解。结果表明,所得到的环形桁架可展天线第一阶固有频率、固定载荷最大变形的响应面呈现比较明显的非线性关系,基于Kriging模型的结构优化方法能比较准确地对环形桁架可展天线进行寻优设计。

The solution efficiency for the traditional structure dynamic optimization process is relatively low. Based on a discussion of the parameters optimization for the ring truss deployable antenna structures, this research chose the sample points by design of experiment method in the variable parameter space. The response values of the first order natural frequency, total mass, and the maximum deformation with specific loading for the ring truss deployable antenna structures were obtained by the finite element method.. The Kriging models, which were established by the relationship between the sample points and response values, were used to find the optimum solution with optimization algorithm. It is required that the optimum solution should satisfy all the constrained conditions. The results showed that the response surfaces of the first order natural frequency, total mass, and the maximum deformation with specific loading for the ring truss deployable antenna structures were nonlinear relationship with the design variable. The structure optimization method with the Kriging approximate model can be used to find the optimum structural parameters of the ring truss deployable antennas accurately.