基于权重灵敏度分析的结构形状等几何优化方法

提出了基于权重灵敏度分析的等几何形状优化方法。在推导权重灵敏度的基础上,提出了两种形状优化方式,一种是将NURBS控制点和权重同时作为设计变量的全局形状优化,另一种是基于尺寸优化结果再进行权重优化的局部形状优化。通过实例对上述两种形状优化方法的可行性进行了验证,研究结果表明:当结构需要圆锥曲线表达形状时,所提方法能得到更为精确的优化结果。

Isogeometric Optimization Method for Structural Shapes Based on Analysis of Weight Sensitivity

An isogeometric optimization method was proposed based on weight sensitivity analysis. Based on the derivation of weight sensitivity, two shape optimization methods were proposed, one was the global shape optimization with NURBS control points and weights as design variables simultaneously, the other was local shape optimization based on size optimization results and weight optimization step by step. And the feasibilty of the two shape optimization methods were verified by examples, the results show that when the structures need the conic curves to express the shapes, the proposed method may obtain more accurate optimization results.