梁的弹塑性大挠度数值分析

基金项目: 安徽省教委科研基金资助课题(95JL0130)

Numerical Analysis of theLarge Deflection of an Elastic-Plastic Beam

Department of Construction Engineering, Anhui Institute of Architecture, Hefei 230022, P R China

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列式法建立梁的非线性平衡方程,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.
- 弹塑性 /
- 大挠度 /
- 分层法 /
- TL列式法 /
- mNR法
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.
- elastic-plastic /
- large deflection /
- layered approach /
- total Lagrange formula /
- modified Newton-Raphson method

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