摘要
针对环形热源作用下功能梯度材料三维瞬态热传导分析复杂且耗时的问题,通过傅里叶-拉普拉斯频响函数、拉普拉斯数值逆变换和二维离散傅里叶逆变换建立指数梯度材料环形热源热传导半解析方法,并与三维傅里叶变换方法以及有限元方法(FEM)进行对比,验证本文方法的可靠性。基于半解析方法对比环形热源和高斯热源作用下温度和温度梯度响,算例表明:温度和温度梯度分布对环形热源内、外径以及材料梯度指数响应不同;相比高斯热源,环形热源的温度场和温度梯度场相对均匀,改变热源内外径可调节温度峰值和温度梯度峰值。
In order to solve the complex and time-consuming problem of 3D transient heat conduction analysis of functionally gradient materials subjected to annular heat source,a semi-analytical method for the heat conduction of exponentially graded materials with an annular heat source is developed through Fourier-Laplace frequency response functions,numerical Laplace inversion and twodimensional discrete Fourier inversion,which is compared with 3D Fourier transform method in literature and FEM to verify the reliability of the proposed method.Based on the semi-analytical method,the temperature and temperature gradient response,as well as the sensitivity of their peaks under annular and Gaussian heat sources are compared.Case studies show that the temperature and temperature gradient distribution have different responses to the inner and outer diameter of the annular heat source and the material gradient indices.Compared with Gaussian heat sources,annular heat sources have the relatively uniform temperature and temperature gradient fields.Changing the inner and outer diameter of the annular heat source can adjust the temperature peak and temperature gradient peak.
作者
索雪峰
何登辉
王华栋
曹伟
SUO Xuefeng;HE Denghui;WANG Huadong;CAO Wei(School of Construction Machinery,Chang’an University,Xi’an,Shaanxi 710064,China)
出处
《计算物理》
CSCD
北大核心
2024年第3期367-379,共13页
Chinese Journal of Computational Physics
基金
国家自然科学基金(52005047)
陕西省高校科协青年人才托举计划(20210420)
长安大学中央高校基本科研业务费专项资金(300102253202)资助。
关键词
环形热源
功能梯度材料
三维瞬态热传导
半解析方法
annular heat source
functionally graded material
3D transient heat conduction
semi-analytical method
