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-  2019 

薄壁曲线箱梁剪滞翘曲位移模式研究 Shear lag warping displacement mode research of thin-walled curved box girder

Keywords: 薄壁曲线箱梁,剪滞翘曲位移模式,振动基频,能量变分,有限元

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Abstract:

为了寻找精度较高的剪力滞翘曲位移模式,分别假设曲线箱梁剪力滞翘曲位移函数按抛物线系列、余弦函数、指数函数、悬链线分布,综合运用能量变分法和Hamilton原理推导出曲线箱梁在各种剪力滞翘位移模式下的振动控制微分方程,通过假设位移场函数,由Galerkin法对曲线箱梁1阶竖向弯曲振动基频进行了求解,并获得了显示解.数值分析算例的结果表明:剪力滞翘曲位移模式对自振频率影响较小,箱梁翼板剪力滞翘曲位移函数选用2次抛物线和悬链线精度较高,能够较好地反映曲线箱梁空间受力性能;理论计算值与ANSYS板壳单元数值结果相比较,误差仅为0.57%,吻合良好,验证了理论推导的正确性与可靠性

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