改进遗传算法在非线性热传导参数识别中的应用.pdf

第22 卷第3 期 工 程 力 学 Vol.22 No.3 2005 年 6 月 ENGINEERING MECHANICS June 2005 文章编号：1000-4750(2005)03-0072-04 改进遗传算法在非线性热传导参数识别中的应用 *李守巨，刘迎曦 (大连理工大学工业装备结构分析国家重点实验室，辽宁 大连 116024) 摘 要：建立了基于优化算法的估计材料热传导系数和边界条件的热传导反问题求解方法。该方法以观测的温度 值与有限元计算模拟的温度值最小二乘极小化原理为基础，然后采用具有全局有哪些信誉好的足球投注网站能力的遗传算法求解。为了加 快收敛速度和提高反演识别精度，采用了浮点编码的遗传算法。根据先验信息，建立了高斯变异策略。数值计算 结果表明，所建立的数值反演方法可以用来解决未知的热传导系数和边界条件识别问题，并且具有良好的抗观测 噪音能力。 关键词：工程力学；参数识别；遗传算法；热传导系数；反问题；全局优化 中图分类号：TB12, TB13 文学标识码：A APPLICATION OF IMPROVED GENETIC ALGORITHM TO SOLVING INVERSE HEAT CONDUCTION PROBLEMS * LI Shou-ju , LIU Ying-xi ( State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, China) Abstract: The inverse problem of estimating the heat transfer coefficient and surface temperature is formulated. An algorithm is proposed based on the minimization of the least-square errors between the measured temperatures and calculated temperatures by the finite element model. The solution is sought by genetic algorithm which is able to search for optimal solution. To speed up the convergence rate and enhance inversion precision, the real genetic algorithm is applied. Numerical results show that the strategy developed in the paper is capable of dealing with both unknown heat transfer coefficient and unknown surface temperature, and has the ability to suppress measurement noise. Key words: engineering mechanics; parameter identification; genetic algorithm; heat transfer coefficient; inverse problem; global optimization 1 引言 度正则化方法用于求解多维热传导反问题[1~6] 。热