摘要
本文提出了综合应用有限元和Bézier或B样条曲线曲面进行静力线弹性结构形状优化设计的模型。在该模型下进行了结构形状设计灵敏度分析,导出了伴随变量法计算公式。最后将该模型用于梁结构形状的优化设计,并给出了算例。
A composite model of shape optimization of linear static elastic structure by finite element method and Bezier or B-spline curve and surface is presented. The correspodent design sensitivity analysis is studied, and the formulation with adjoint variable method is developed. Finally, some examples in beam shape optimization design are calculated.