摘要
根据势能驻值原理,从曲梁的变形几何方程出发,采用转换B3样条函数模拟薄壁杆件横截面的纵向位移场,得到含非线性应变的薄壁曲梁的能量方程,采用样条有限杆元法求解薄壁曲梁的横向弯曲稳定问题。方法很好地描述了薄壁曲梁的翘曲位移和剪滞效应,为分析薄壁曲梁弯扭问题提供了一种有效的方法。数值算例表明本方法的前处理简单、收敛速度快,精度高。
Based on the displacement variational principle and the strain-displacement relations of curved beams, the paper presents some fundamental nonlinear equations that describe the elastic behavior of thin-walled curved beams. The lateral buckling of thin-walled curved members with shear lag is analyzed. A transformed B3 spline function is used to simulate the warping displacements of the thin-walled curved beams. The stability of the simple beams with I-shaped cross sections is studied. The method is shown to be versatile, accurate and efficient.
出处
《工程力学》
EI
CSCD
北大核心
2005年第1期69-74,共6页
Engineering Mechanics
基金
国家自然科学基金(50448016)资助项目
关键词
曲梁
薄壁杆件
样条有限杆元法
稳定分析
转换B3样条函数
Buckling
Finite element method
Nonlinear equations
Shear stress
Stability
Strain
Thin walled structures
Torsional stress
