Steady heat transfer analysis of orthotropic structure based on Element-Free Galerkin method
Steady heat transfer analysis of orthotropic structure based on Element-Free Galerkin method
复制标题
基于无单元伽辽金法的正交各向异性结构稳态传热分析
DOI：
10.1016/j.ijthermalsci.2017.06.024
复制
发表时间：
2017-11
影响因子：
4.5
通讯作者：
Hu Sheng
中科院分区：
文献类型：
--
作者：
Zhang Jian-Ping;Zhou Guo-Qiang;Gong Shu-Guang;Wang Shu-Sen;Hu Sheng
基于无单元伽辽金（EFG）法建立了正交各向异性结构稳态传热分析的数学模型，并采用惩罚法求解了基本边界条件。通过三个工程实例，验证了传热模型和MATLAB程序的可靠性。评价了节点分布模式、标度因子、惩罚因子和权函数对不同正交异性结构EFG温度结果的影响。对EFG和FEM的CPU计算时间进行了比较。通过与有限元温度和温度梯度的比较，发现基于EFG的温度对稳态传热问题具有更高的计算精度，且温度不受节点分布模式的影响。分别给出了标度因子和惩罚因子的合理取值。此外，各权重函数的计算相对误差随正交各向异性因子的减小而增大，三次样条和抛物线权重函数是正交各向异性结构传热分析的首选。
The mathematical model of steady heat transfer analysis for orthotropic structure is established based on Element-Free Galerkin (EFG) method and the essential boundary conditions are enforced using penalty method. The reliability of heat transfer model and MATLAB programs have been verified through three engineering examples in practice. The effects of nodes distribution pattern, scaling factors, penalty factors and weight functions on the EFG temperature results of different orthotropic structures are evaluated. A comparison of the CPU computing time between EFG and FEM is also studied. By comparison with finite element temperature and temperature gradient, it is revealed that the temperature based on EFG has higher calculation precision for steady heat transfer problem, and the temperature is not affected by nodes distribution pattern. The rational values of scaling factors and penalty factors are provided respectively. In addition, the computational relative error increases with the decrease of the orthotropic factor during various weight functions, and the cubic spline and parabola weight functions are the preferred choices in the heat transfer analysis of the orthotropic structure.
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DOI：
10.1016/j.ijheatmasstransfer.2016.01.059
发表时间：
2016-05
影响因子：
5.2
作者：
M. Sheikholeslami;T. Hayat;T. Hayat;A. Alsaedi
通讯作者：
M. Sheikholeslami;T. Hayat;T. Hayat;A. Alsaedi
DOI：
10.1080/10407780500507111
发表时间：
2006-03
期刊：
Numerical Heat Transfer, Part A: Applications
影响因子：
--
作者：
Akhilendra Singh;I. Singh;R. Prakash
通讯作者：
Akhilendra Singh;I. Singh;R. Prakash
影响因子：
2
作者：
Sheikholeslami, Mohsen;Chamkha, Ali J.
通讯作者：
Chamkha, Ali J.
DOI：
10.1016/j.amc.2012.07.002
发表时间：
2012-10
期刊：
Appl. Math. Comput.
影响因子：
--
作者：
Rajesh Sharma
通讯作者：
Rajesh Sharma
影响因子：
6.4
作者：
V. Vishwakarma;A. Das;P. Das
通讯作者：
V. Vishwakarma;A. Das;P. Das