瞬态热传导方程的子结构精细积分方法  

Substructures Precise Time Integration Method for Transient Heat Conduction

作　　者：陈飚松[1] 顾元宪[1] 

机构地区：[1]大连理工大学,大连116024

出　　处：《应用力学学报》2001年第1期14-18,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金!(19872017);国家自然科学重大基金!(59895410)资助项目

摘　　要：对线性定常结构动力系统提出的精细积分方法，在数值精度等方面表现出极大优越性。但是当矩阵尺度很大时在数值计算与存储中将产生困难。对此，本文对瞬态热传导方程，根据子结构的概念，将结构分为若干个子结构，对各子结构分别进行指数矩阵运算并通过子结构间界面的物理量相联系，从而提高精细积分方法的计算效率。The precise time-integration method was proposed for linear time-invariant dynamic system. It can give precise numerical results, which are almost equal to the results of the exact solution at the integration point. However, it is troublesome when the matrix size becomes larger. According to the concept of substructure, substructure precise time integration for transient heat conduction is presented in this paper. The exponential matrixes of substructures can be computed respectively and the communications between two substructures can be realized by using the physical quantity (such as nodal temperature) at the interface. And then the computational efficiency can be improved greatly. Numerical examples validate the algorithm.

关 键 词：子结构 精细积分 积分/时程积分 瞬态热传导方程 

分 类 号：O551.3[理学—热学与物质分子运动论] O241.82[理学—物理]