吴幼明, 罗旗帜, 岳珠峰. 薄壁箱梁剪滞效应的能量变分法[J]. 工程力学, 2003, 20(4): 161-165,.
引用本文: 吴幼明, 罗旗帜, 岳珠峰. 薄壁箱梁剪滞效应的能量变分法[J]. 工程力学, 2003, 20(4): 161-165,.
WU You-ming, LUO Qi-zhi, YUE Zhu-feng. ENERGY-VARIATIONAL METHOD OF THE SHEAR LAG EFFECT IN THIN WALLED BOX GIRDER[J]. Engineering Mechanics, 2003, 20(4): 161-165,.
Citation: WU You-ming, LUO Qi-zhi, YUE Zhu-feng. ENERGY-VARIATIONAL METHOD OF THE SHEAR LAG EFFECT IN THIN WALLED BOX GIRDER[J]. Engineering Mechanics, 2003, 20(4): 161-165,.

薄壁箱梁剪滞效应的能量变分法

ENERGY-VARIATIONAL METHOD OF THE SHEAR LAG EFFECT IN THIN WALLED BOX GIRDER

  • 摘要: 考虑了三个不同的剪滞纵向位移差函数以反映薄壁箱梁不同宽度翼板的剪滞变化幅度,提出了一种能对工程中常用的变高度梯形截面箱梁剪力滞及剪切变形效应进行分析的方法。应用能量变分原理,导出了箱梁受横向荷载作用下的剪滞控制微分方程和边界条件,获得相应的闭合解,并探讨了不同纵向位移差函数对剪力滞的影响。最后通过高阶有限条法计算验证了本文方法的正确性。所得的公式比以往剪滞理论有了发展,因此更具有一般性。

     

    Abstract: In this paper, the shear lag and shear deformation effects are analyzed with a simple and efficient method, considering three longitudinal displacement differential functions for trapezoidal section box girder with varying depth. The governing differential equations and boundary conditions of the box girder under lateral loading are derived using energy-variational principle. The closed-form solutions of the equations are obtained and compared with the finite strip solutions. Good agreement is reached. The influences of three longitudinal displacement differential functions upon the shear lag are also discussed. It is shown that the present theory is effective and general.

     

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