| 薄壁曲梁的横向弯曲稳定分析 |
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| 引用本文： | 李琰, 辛克贵. 薄壁曲梁的横向弯曲稳定分析[J]. 工程力学, 2005, 22(1): 69-74. |
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| 作者姓名： | 李琰 辛克贵 |
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| 作者单位： | 清华大学土木工程系, 教育部结构与振动重点实验室, 北京, 100084 |
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| 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。
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| 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 |
| 文章编号： | 1000-4750(2005)01-0069-06 |
| 收稿时间： | 2003-02-21 |
| 修稿时间： | 2003-04-08 |
LATERAL BUCKLING ANALYSIS OF THIN-WALLED CURVED BEAMS |
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| LI Yan, XIN Ke-gui. LATERAL BUCKLING ANALYSIS OF THIN-WALLED CURVED BEAMS[J]. Engineering Mechanics, 2005, 22(1): 69-74. |
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| Authors: | LI Yan XIN Ke-gui |
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| Affiliation: | Dept. of Civil Engineering, Tsinghua University, Key Laboratory of Structural Engineering and Vibration of Education Ministry, Beijing 100084, China |
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| 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. |
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| Keywords: | curved beam thin-walled beam the spline finite member element method buckling analysis transformed B3 spline function |
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