MatLab在有限元刚度矩阵推导中的应用  

MatLab Application to the Matrix Deduction of Finite Element Stiffness

作　　者：周水兴[1] 陈山林[1] 

机构地区：[1]重庆大学

出　　处：《重庆交通学院学报》2007年第2期29-31,共3页Journal of Chongqing Jiaotong University

基　　金：重庆市教委项目(KJ050407);交通部西部交通建设科技项目(20033188142024)

摘　　要：MatLab具有强大的符号运算功能.以平面梁单元刚度矩阵为例,详细介绍MatLab在单元刚度矩阵推导中的具体应用,编写了平面梁单元刚度符号运算程序,运算结果与手工推导完全一致,该方法可进一步推广到其它单元甚至到更复杂非线性单元刚度矩阵推导中.MatLab has a strong symbolic operation function. With the example of stiffness matrix of plane beam element, the application of deducing element stiffness matrix is introduced in detail for the first time, and the symbolic operation procedure of plane beam element is developed, and the operation result is completely in accordance with the handicraft deduction. This method can further expand the application of deducing matrix to other elements even more complicated nonlinear element.

关 键 词：MATLAB 符号运算 刚度矩阵 推导 

分 类 号：O242.21[理学—计算数学]