薄壁曲梁的横向弯曲稳定分析

详细信息

LATERAL BUCKLING ANALYSIS OF THIN-WALLED CURVED BEAMS

Dept. of Civil Engineering, Tsinghua University, Key Laboratory of Structural Engineering and Vibration of Education Ministry, Beijing 100084, China

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。
- 曲梁 /
- 薄壁杆件 /
- 样条有限杆元法 /
- 稳定分析 /
- 转换B₃样条函数
Abstract: 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.
- curved beam /
- thin-walled beam /
- the spline finite member element method /
- buckling analysis /
- transformed B₃ spline function