非线性二维导热反问题的混沌-正则化混合解法

王登刚; 刘迎曦; 李守巨

非线性二维导热反问题的混沌-正则化混合解法

1.
同济大学, 建筑工程系, 上海, 200092;
2.
大连理工大学, 工业装备结构分析国家重点实验室, 大连, 116024

基金项目: 国家自然科学基金资助项目(10072014)

详细信息

作者简介:
王登刚(1970- ),男,安徽阜阳人,博士,研究方向是非线性反演方法及其应用(E-mail:wangdenggang@263.net)

中图分类号: O39;O482.2
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- 被引次数: 0
出版历程
- 收稿日期: 1999-09-03
- 修回日期: 2002-03-26
- 刊出日期: 2002-08-15

Chaos-Regularization Hybrid Algorithm for Nonlinear Two-Dimensional Inverse Heat Conduction Problem

1.
Department of Building Engineering, Tongji University, Shanghai 200092, P.R.China;
2.
State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, P.R.China

摘要

摘要: 考虑热传导系数随温度变化,建立了非线性二维稳态导热反问题数值计算模型。并把混沌优化方法和梯度正则化方法相结合,构成一种混沌-正则化混合算法求该计算模型的全局解。以热传导系数随温度线性变化为例,由布置在结构边界上的观测点温度信息确定了结构材料热传导系数及其随温度变化规律。结果表明混合算法计算结果与初值无关,具有很好的全局寻优性能,而且计算量远比经典遗传算法和单纯采用混沌优化方法小。
- 逆问题 /
- 导热反问题 /
- 导热系数 /
- 全局最优 /
- 混合法/混沌优化方法 /
- 梯度正则化方法
Abstract: A numerical model of nonlinear two-dimensional steady inverse heat conduction problem was established considering the thermal conductivity changing with temperature.Combining the chaos optimization algorithm with the gradient regularization method,a chaos-regularization hybrid algorithm was proposed to solve the established numerical model.The hybrid algorithm can give attention to both the advantages of chaotic optimization algorithm and those of gradient regularization method. The chaos optimization algorithm was used to help the gradient regularization method to escape from local optima in the hybrid algorithm.Under the assumption of temperature-dependent thermal conductivity changing with temperature in linear rule,the thermal conductivity and the linear rule were estimated by using the present method with the aid of boundary temperature measurements.Numerical simulation results show that good estimation on the thermal conductivity and the linear function can be obtained with arbitrary initial guess values,and that the present hybrid algorithm is much more efficient than conventional genetic algorithm and chaos optimization algorithm.
- inverse problem /
- inverse heat conduction problem /
- thermal conductivity /
- global optimum /
- hybrid algorithm /
- chaos optimization algorithm

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参考文献(17)

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