基于高效差分敏度分析的谐响应形状优化

Shape Optimization Under Harmonic Excitation Based on Efficient Difference Sensitivity Analysis

基于谐响应组合近似重分析方法,提出了近似-差分敏度求解策略.数值算例表明,在结构小扰动下,近似-差分结果具有足够的精度反映敏度信息,并克服了差分敏度求解计算量大的缺点.以结构体积最小为目标,自由度振幅为约束,建立了谐响应下的连续体形状优化模型,实现了结构形状优化设计;通过数值算例对不同结构参数和激励下的优化结果进行了对比分析,结果验证了方法和模型的可行性和有效性.

To overcome difficulty of high computational cost in difference sensitiwty analysis, efficient derivatives are obtained using approximate-difference strategy based on combined approximations. Accurate sensitivity is obtained under small disturbance verified by numerical examples. Structural volumes are taken as obiectives and the response amplitudes are taken as constraints. Shape optimization model of continuum structure under harmonic excitation is established. Some numerical examples are provided and results discussed. Their results are shown to demonstrate the feasibility and validity of the proposed method and model.