基于遗传算法的混凝土一维瞬态导热反问题  

THE INVERSE PROBLEM OF ONE DIMENSIONAL TRANSIENT HEAT CONDUCTION BASED ON GENETIC ALGORITHMS

作　　者：张宇鑫 宋玉普[2] 王登刚[3] 张燕[1] 

机构地区：[1]上海师范大学建筑与管理工程学院,上海201418 [2]大连理工大学土木建筑学院,大连116024 [3]同济大学建筑工程系,上海200092

出　　处：《工程力学》2003年第5期87-90,105,共5页Engineering Mechanics

摘　　要：基于Laplace积分变换法和遗传算法,提出了一种混凝土一维瞬态导热反问题求解的新方法。运用Laplace变换将温度的求解表示为只与空间坐标及浇筑时间有关的函数,使得反问题的求解具有测点布置灵活的特点。运用遗传算法寻求非线性反演问题全局最优解,只需要若干点温度实测值便可实现多个热学参数的同时反演,算例对反演方法的反演精度及数值稳定性给出了满意的证明。Based on Laplace transform method and genetic algorithms, a new method for the solution of inverse problem of one dimensional transient heat conduction is proposed. By using Laplace transform method, temperature is expressed as the function of space coordinate and placing time only, which means that the measuring values needed for the solution of inverse problem can be chosen more freely. By using genetic algorithms to get the optimum solution of nonlinear inverse problem, multiple thermal parameters are obtained simultaneously with only a few test points. Numerical examples are provided to verify the present method.

关 键 词：热传导 反问题 热学参数 Laplace变换/遗传算法 

分 类 号：O39[理学—工程力学] TV315[理学—力学]