摘要
文章建立了以改进布谷鸟算法为基础的非线性二维稳态热传导反问题的数学模型;以计算温度和测量温度之间的接近程度为目标函数,通过改进布谷鸟算法极小化目标函数反演导热系数;讨论了单元数量、测点数量、鸟巢数量、测量误差对结果的影响。研究结果表明:增加单元数量,迭代次数减少,计算结果更精确;增加测点数量,迭代次数增加;增加鸟巢数量,迭代次数减少;随着测量误差的增大,结果精度降低并且迭代次数增多。数值算例验证了改进布谷鸟算法反演导热系数的准确性和有效性。
A mathematical model based on improved cuckoo search(ICS)algorithm is presented for the solution of nonlinear two-dimensional stable inverse heat conduction problems.The object function is the difference between the calculated temperature and the measured temperature.Thermal conductivity is obtained by minimizing the object function through ICS algorithm.The influences of element number,measured point number,nest number and measured noise are discussed.The results indicate that the result accuracy increases and the iteration number decreases with the increase of element number.The increase of measured point number causes the increase of iteration number,whereas the increase of nest number can decrease the iteration number.Moreover,the greater the measured noise is,the lower the result accuracy is.The iteration number decreases with the decrease of measured noise.Numerical examples show that the ICS algorithm is an accurate and efficient method for the inversion of thermal conductivity.
作者
严俊
周焕林
余波
陈豪龙
YAN Jun;ZHOU Huanlin;YU Bo;CHEN Haolong(Steel Structure Construction Co., Ltd. of China Tiesiju Civil Engineering Group, Hefei 230088, China;School of Civil and Hydraulic Engineering, Hefei University of Technology, Hefei 230009, China)
出处
《合肥工业大学学报(自然科学版)》
CAS
北大核心
2018年第12期1667-1671,1677,共6页
Journal of Hefei University of Technology:Natural Science
基金
国家自然科学基金资助项目(11672098)
关键词
热传导
反问题
导热系数
改进布谷鸟算法
边界元法
heat conduction
inverse problem
thermal conductivity
improved cuckoo search(ICS) algorithm
boundary element method