基于Matlab的均布荷载作用下矩形薄板的有限元分析  

Finite Element Analysis on Rectangular Thin Plate under Equispaced Load Effect Based on Matlab Language

作　　者：杜丽艳[1] 陈建华[2] 

机构地区：[1]西安建筑科技大学理学院,西安710055 [2]天津城市建设学院,天津300384

出　　处：《重庆工学院学报（自然科学版）》2009年第1期32-35,共4页Journal of Chongqing Institute of Technology

基　　金：陕西省教育厅专项科研项目(08JK342)

摘　　要：利用Matlab语言编程对均布荷载作用下的矩形薄板进行有限元分析,求得挠度的数值解.然后以弹性力学中的Kirchhoff薄板理论为基础,提出双三角级数形式的挠度函数,由此挠度函数求得挠度的精确解,将2种方法求解的结果进行比较.结果表明:利用Matlab语言编制的程序作数值计算结果与精确解基本吻合,因此利用Matlab语言编程求解矩形薄板挠度问题的速度相对较快,有益于工程应用.The Matlab language programming is used to conduct finite element analysis on rectangular thin plate under the equispaced load effect and obtain the deflection of arithmetical solution. Then according to elasticity theory in Kirehhoff thin steel plate theory, the deflection function of double trigonometric series form is proposed to obtain the exact solution to deflection. The solutions from the two methods are compared and the results indicate that the exact solution accords basically with the numerical result obtained by using the Matlab language. Therefore, the speed of using the Matlab language programming to solve the deflection of rectangle thin plate is relatively fast,which is beneficial to the project application.

关 键 词：矩形薄板 MATLAB语言 板的挠度 

分 类 号：TB125[理学—工程力学]