多宗量稳态热传导反问题测点信息研究  

Investigation on the Information of Sample Points for the Inverse Heat Conduction Problems in Steady State with Multi-variables

作　　者：薛齐文[1,2] 魏伟[1] 张雪珊[1] 王尕平[1] 

机构地区：[1]大连交通大学土木与安全工程学院,大连116028 [2]工业装备结构分析国家重点实验室,大连116023

出　　处：《科学技术与工程》2010年第28期6912-6916,共5页Science Technology and Engineering

基　　金：国家自然科学基金(10802015);辽宁省重点实验室基金(2008S036);工业装备结构分析重点实验室开放基金(GZ0811)资助

摘　　要：针对稳态热传导反问题,从多宗量的角度出发,对测点信息的选取作了探讨。借助有限元空间离散技术,建立了正演分析模型,利用误差信息构造最小二乘函数,建立反演模型,分别探讨了单一和多宗量组合参数识别时测点信息的选取,给出了相关数值算例,总结了一般性规律。A investigation on solving the inverse heat conduction problems in steady state with multi-variables is presented,including the selection of information of sample points.For the direct problem,the eight-point finite element is used for the discretization in the space system.The inverse problem is formulated implicitly as an optimization problem with the cost functional of squared residues between calculated and measured quantities.The selection of information of sample points is discussed for identification of single and multi-variables parameters.Satisfactory numerical validation is given and the general rule is summarized.

关 键 词：多宗量 测点信息 反问题 热传导 

分 类 号：TU111.1[建筑科学—建筑理论]