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梁的弹塑性大挠度数值分析
引用本文:干洪.梁的弹塑性大挠度数值分析[J].应用数学和力学,2000,21(6):633-639.
作者姓名:干洪
作者单位:安徽建筑工业学院,建筑工程系,合肥,230022
基金项目:安徽省教委科研基金!资助课题 (95JL0 130 )
摘    要:采用分层法研究Timoshenko型直梁的弹塑性大挠度数值问题,由TL列工法建立梁的非线笥平衡方程,采用mNR法求解,详细介绍了单元的切线刚度矩阵形成过程及求解步骤,解的情况令人满意。]

关 键 词:弹塑性  大挠度  分层法  TL列式法    数值分析
修稿时间:1999-04-23

Numerical Analysis of the Large Deflection of an Elastic-Plastic Beam
Gan Hong.Numerical Analysis of the Large Deflection of an Elastic-Plastic Beam[J].Applied Mathematics and Mechanics,2000,21(6):633-639.
Authors:Gan Hong
Abstract:The layered approach was adopted to study the numerical procedure of the large deflection of an elastic_plastic Timoshenko's beam,and the nonlinear equilibrium equation was derived by TL Formula. The solution was conducted by means of mNR method. The tangential stiffness matrix of the beam was introduced, and the solving procedures were presented in detail. The solution of the problem is satisfactory.
Keywords:elastic_plastic  large deflection  layered approach  total Lagrange formula  modified Newton_Raphson method
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