箱型梁剪力滞效应的解耦求解

发布时间：2018-03-21 09:17

本文选题：剪力滞效应　切入点：箱型梁　出处：《中国铁道科学》2014年01期 　论文类型：期刊论文

【摘要】：针对运用能量变分理论分析箱型梁剪力滞效应时存在的问题,用箱型梁的附加挠度函数代替剪力滞函数建立箱型梁翼缘截面的纵向位移表达式,用外荷载代替内力建立箱型梁的总势能泛函,根据变分原理推导箱型梁在剪力滞效应下的4阶控制微分方程及各类边界条件,提出剪力滞效应下箱型梁挠度、附加挠度和经典梁挠度的解耦求解方法,首次得到箱型梁在剪力滞效应下自由端的边界条件和固定—简支箱型梁响应量的封闭解。算例分析验证了该求解方法的有效性和计算精度,同时也表明,箱梁挠度和附加挠度具有完全相同的边界条件,但在自由端二者的边界条件与Euler梁理论不同。
[Abstract]:In order to solve the problem of using energy variational theory to analyze the shear lag effect of box girder, the longitudinal displacement expression of flange section of box girder is established by using the additional deflection function of box girder instead of shear lag function. The total potential energy functional of box girder is established by using external load instead of internal force. According to the variational principle, the fourth order control differential equation and all kinds of boundary conditions of box girder under shear lag effect are derived, and the deflection of box girder under shear lag effect is proposed. The decoupling solution method of additional deflection and classical beam deflection, For the first time, the boundary conditions at the free end of the box girder and the closed solution of the response quantity of the fixed-simply supported box girder under the shear lag effect are obtained for the first time. The effectiveness and accuracy of the method are verified by an example. The deflection of box girder and the additional deflection have the same boundary conditions, but the boundary conditions of them at the free end are different from that of Euler beam theory.
【作者单位】：广西大学土木建筑工程学院;广西大学工程防灾与结构安全教育部重点实验室;桂林理工大学土木与建筑工程学院;
【基金】：国家自然科学基金资助项目(51168003) 广西科学基金资助重大项目(2012GXNSFEA053002);广西科学基金主席基金资助项目(2010GXNSFD169008)
【分类号】：U441

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