摘要
研究瞬态热传导问题的优化设计和灵敏度分析方法.在有限元离散和时间差分方法基础上,给出了瞬态热传导问题以及一般瞬态问题的灵敏度计算公式,讨论了直接法和伴随法两种计算格式的特点.对瞬态约束函数采用了临界点约束方法,研究了结构温度场优化、特别是连续体形状优化的数值方法.在大型有限元分析与优化设计软件JIFEX中实现了上述方法,由数值算例表明了本文方法的应用及其有效性.
This paper studies the methods of design optimization and sensitivity analysis oftransient heat transfer problems. With the finite element and time difference methods, theequations of sensitivity calculation of general transient problems and transient heat transfer havebeen proposed. Two computational schemes of the direct method and the ad joint method arepresented and discussed on their properties. The critical-point constraint is used for transientconstraint functions, and the optimization, the shape optimization of continuum in particular, ofstructural temperature field is studied. These numerical methods have been implemented in thelarge-scale finite element software JIFEX. The application and effectiveness of the methods areillustrated by examples.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
1999年第2期158-165,共8页
Journal of Dalian University of Technology
基金
国家杰出青年科学基金!19525206
国家自然科学基金!59895410