考虑多点保形的结构拓扑优化设计方法

Structure topology optimization with multi-point shape-preserving constraint

为了抑制飞行器结构局部区域内多个控制点的翘曲变形,提出考虑结构保形的拓扑优化设计新方法。基于由局部区域内保形控制点生成的人工附加弱单元(AWE),定义AWE的变形能约束函数,从而引入了对结构局部区域的多点保形约束,定量衡量并抑制了该区域内结构的弹性翘曲变形程度。进一步讨论并分析了保形约束与整体刚度之间的消长关系以及优化过程中可能存在的传力路径畸变现象。拓扑优化数值算例的设计结果对比表明,保形拓扑优化方法相比现有拓扑优化方法,能够有效抑制多点间的相对位移和翘曲变形,实现保形设计效果。

The purpose of this paper is to present an extended topology optimization suppressing the warping deformation of multiple control points in aircraft structural local domain.By applying artificial week elements（AWE）established with respect to the control points of shape-preserving design,the elastic warping deformation is quantified and suppressed by constraining the strain energies of AWE.Moreover,further studies on the paradox between shape-preserving constraint and global strain energy,probable distortion of load carrying path during topology optimization are carried out for in-depth understanding.Comparisons of several numerical results with the standard topology optimization have evidently shown that the effect of shape-preserving is successfully achieved by suppressing the warping deformation and controlling the relative displacements of multiple control points.