不规则I型和L型横截面形状薄壁杆件的横向弯曲稳定分析  

LATERAL BUCKLING ANALYSIS OF THIN-WALLED MEMBERS WITH IRREGULAR I-SHAPED OR L-SHAPED CROSS SECTION

作　　者：辛克贵[1] 王涛[1] 

机构地区：[1]清华大学土木工程系,北京100084

出　　处：《工程力学》2002年第2期45-51,共7页Engineering Mechanics

基　　金：北京市自然科学基金资助项目(8982010);教育部回国留学人员基金资助项目

摘　　要：根据势能驻值原理,采用转换B3样条函数模拟杆件横截面的翘曲位移场,文[8]提出了用于分析在横向荷载作用下薄壁杆件稳定问题的样条有限杆元法。方法适用于任意横截面形状和任意边界条件的薄壁杆件,考虑了杆壁中面上剪切变形的影响,能很好地描述剪力滞后现象。本文讨论了不规则I型截面简支梁和L型截面简支梁的屈曲分析,数值算例的结果表明了方法的灵活性、精确性和有效性。The spline finite member element method based on the potential energy principle for lateral buckling analysis of thin-walled members with arbitrary cross sections and arbitrary boundary conditions is proposed. A B3 transformed spline function is used to simulate the warping displacements along the cross section of the thin walled members by considering the effect of the shear strains of median surface of the members. It is able to describe the shear lag phenomena. To verify the proposed method, the stability of beams with irregular I-shaped cross section or L-shaped cross section is studied. It is shown that the present method is versatile, accurate and efficient.

关 键 词：I型 L型 横向弯曲 稳定分析 薄壁杆件 剪力滞后 样条有限杆元法 不规则横截面形状 简支梁 

分 类 号：O343[理学—固体力学] TU323.302[理学—力学]