• CN:11-2187/TH
  • ISSN:0577-6686

›› 2007, Vol. 43 ›› Issue (8): 72-76.

• 论文 • 上一篇    下一篇

热结构稳态响应下的敏度分析方法和形状优化

龙凯;左正兴   

  1. 北京理工大学机械与车辆工程学院
  • 发布日期:2007-08-15

SENSITIVITY ANALYSIS METHOD AND SHAPE OPTIMIZATION OF THERMO-STRUCTURAL STEADY RESPONSE

LONG Kai;ZUO Zhengxing   

  1. School of Mechanical and Vehicular Engineering, Beijing Institute of Technology
  • Published:2007-08-15

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-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-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。

关键词: 近似重分析, 敏度分析, 热响应, 热应力, 形状优化, 组合近似

Abstract: 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 analy-sis 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 re-sults are discussed. Results are shown to demonstrate the feasi-bility and validity of the proposed method and model.

Key words: Approximate reanalysis, Combined approximations, Sensitivity analysis, Shape optimization, Thermal response, Thermal stress

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