摘要
形状优化中的差分敏度分析计算量随设计变量数目的增加而快速增大,为减少结构分析的计算量,提出一种近似一差分敏度计算方法。该方法采用组合近似法对扰动结构进行近似重分析,并运用差分法计算结构响应量的敏度值。由于组合近似法在结构小扰动的情况下具有较好的近似精度,故而近似一差分敏度分析在保证敏度精度的前提下克服了计算量大的缺点。以可动边界关键点的虚拟位移为设计变量,建立热结构稳态响应的形状优化模型。通过数值对所提出的敏度分析方法和形状优化模型进行验证。结果表明,所提出的方法和模型在热结构稳态响应的形状优化设计中具有可行性和有效性。
To overcome difficulty of high computational cost in difference sensitivity analysis, efficient derivatives are obtained using ＂approximate-difference＂ strategy based on combined approximation method. Combined approximation method is fit for reanalysis in both temperature and thermo-structural analysis models, and accurate sensitivity is obtained under small disturbance which is verified by numerical examples. Virtual displacements of control point are selected as design variables, shape optimization model of thermo-structural steady response is established. Some numerical examples are provided and resuits are discussed. Results are shown to demonstrate the feasibility and validity of the proposed method and model.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2007年第8期72-76,共5页
Journal of Mechanical Engineering
基金
国防重点预研基金(40402010105)。
关键词
热响应
热应力
形状优化
敏度分析
近似重分析
组合近似
Thermal response Thermal stress Shape optimization Sensitivity analysisApproximate reanalysis Combined approximations
