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宽翼薄壁工字形曲梁剪滞效应的能量变分法
引用本文:甘亚南,赫中营,戎涛,周广春.宽翼薄壁工字形曲梁剪滞效应的能量变分法[J].工程力学,2010(12).
作者姓名:甘亚南  赫中营  戎涛  周广春
作者单位:盐城工学院土木工程学院;河南理工大学土木工程学院;哈尔滨工业大学土木工程学院;
基金项目:国家自然科学基金项目(50578054)
摘    要:为了准确反映宽翼薄壁工字形曲梁上下翼板(b1≠b2)的剪滞变化幅度,分别对上下翼板设置了一个不同的剪滞纵向位移差函数(U 1(z),U 2(z))。该文以最小势能原理为基础,考虑弯曲和翘曲扭转的因素,引入剪力滞后和剪切变形效应的影响,建立了曲线工字形梁的控制微分方程和自然边界条件,获得了弯、扭、翘和剪滞效应相耦合的广义位移的闭合解,提出了一种对该类结构更加准确的力学分析方法。算例中,该文解析解与板壳有限元结果吻合较好,证明了该文方法的有效性。

关 键 词:桥梁工程  剪力滞后  翘曲扭转  最小势能原理  曲线工字形梁

ENERGY-VARIATIONAL METHOD FOR THE ANALYSIS OF SHEAR LAG EFFECT OF THIN-WALLED CURVED I-BEAMS WITH WIDE FLANGE
GAN Ya-nan,HE Zhong-ying,RONG Tao,ZHOU Guang-chun.ENERGY-VARIATIONAL METHOD FOR THE ANALYSIS OF SHEAR LAG EFFECT OF THIN-WALLED CURVED I-BEAMS WITH WIDE FLANGE[J].Engineering Mechanics,2010(12).
Authors:GAN Ya-nan  HE Zhong-ying  RONG Tao  ZHOU Guang-chun
Affiliation:GAN Ya-nan1,HE Zhong-ying2,RONG Tao2,ZHOU Guang-chun3(1.School of Civil Engineering and Architecture,Yancheng Institute of Technology,Yancheng 224051,China,2.School of Civil Engineering and Architecture,Henan Polytechnic University,Jiaozuo,Henan 454010,3.School of Civil Engineering and Architecture,Harbin Institute of Technology,Harbin,Heilongjiang 150090,China)
Abstract:Two longitudinal displacement difference functions are employed to accurately describe the variation of shear lag in thin-walled curved I-beams with different widths of wing slabs().Thus,a new approach is proposed to analyze the mechanical characteristics of curved I-beams,considering the effect of flexure,warping torsion,shear deformation and shear lag effects.The minimum potential principle is applied to establish the governing differential equations and corresponding natural boundary conditions.And close...
Keywords:bridge engineering  shear lag effect  warping torsion  minimum potential principle  curved I-beams  
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