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荷载横向变位下箱梁剪滞效应分析

DOI: doi:10.3969/j.issn.1006-7043.2011.02.005

Keywords: 箱型梁, 剪力滞, 变分原理, 有限元, 微分方程

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Abstract:

为了研究荷载横向变位下对箱梁剪滞效应的影响,对箱梁底板、顶板及悬臂板分设不同的纵向位移差函数,采用二次抛物线作为箱梁翼缘板的纵向位移沿梁宽分布函数,基于能量变分原理,建立了考虑剪滞效应的箱型梁控制微分方程;分析了荷载在箱梁顶板横向变位下底板、顶板及悬臂板应力的变化规律,根据对简支箱梁在均布荷载作用下跨中剪力滞系数的计算结果,随着作用在顶板的荷载从肋板向顶板中心移动,顶板经历一个产生正剪力滞效应和无剪力滞效应,最后到产生负剪力滞效应的变化过程,而底板及悬臂板在荷载移动过程中始终保持正剪力滞效应.计算结果和有限元数值模拟结果吻合较好,验证了理论的可靠性,与以往的研究相比更能正确地反映结构剪力滞效应的变化规律.

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