Analytical solution for a finite Euler-Bernoulli beam with single discontinuity in section under arbitrary dynamic loads
Analytical solution for a finite Euler-Bernoulli beam with single discontinuity in section under arbitrary dynamic loads
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任意动载荷下截面单间断的有限欧拉-伯努利梁的解析解
DOI：
10.1016/j.apm.2018.03.046
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发表时间：
2018
影响因子：
5
通讯作者：
Yu HT
中科院分区：
文献类型：
--
作者：
Yu Haitao;Yu Haitao;Yu Haitao;Yang Yusheng;Yuan Yong;Yu HT
本文研究了粘弹性地基上截面单一间断有限长Euler-Bernoulli梁在任意动荷载作用下的动力响应。粘弹性地基在梁的不连续段处有阶跃变化。基于模态叠加法，得到了梁的挠度、速度、加速度、弯矩和剪力的显式表达式。通过在梁的不同部件之间的接触处施加连续性来获得梁的固有频率和相应的模态振型函数。通过与有限元程序ABAQUS的计算结果进行比较，验证了该方法的有效性。
In this paper, the dynamic response of a finite Euler–Bernoulli beam with single discontinuity in section lying on viscoelastic foundation subjected to arbitrary dynamic loads is investigated. The viscoelastic foundation has a step change at the discontinuous section of the beam. Based on the modal superposition method, the explicit formulations of the problem are obtained for beam deflection, velocity, acceleration, bending moment and shear force. The natural frequencies and corresponding modal shape functions of the beam are obtained by imposing continuity at the contact between different components of the beam. The solution is verified by providing comparisons between its results and those from the Finite Element program ABAQUS.