An explicit representation of steady state response of a beam on an elastic foundation to moving harmonic line loads
An explicit representation of steady state response of a beam on an elastic foundation to moving harmonic line loads
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DOI：
10.1002/nag.263
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发表时间：
2003-01
影响因子：
4
通讯作者：
Lu Sun
中科院分区：
文献类型：
--
作者：
Lu Sun
本文利用积分变换法给出了梁式支座挠度响应的闭合形式。利用线性偏微分方程理论，将移动简谐线荷载作用下梁的挠度问题用积分形式表示。最后使用逆傅立叶变换进行求解。为了评估积分解析，极点的被积函数的代数方程理论的帮助下确定。然后利用留数定理将积分表示为复平面上的围道积分。给出了不同荷载频率和速度组合下的闭合挠度和数值结果。版权所有© 2002年约翰威利父子有限公司。
A closed‐form deflection response of a beam rest is presented in this paper using the integral transform method. The theory of linear partial differential equations is used to represent the deflection of beam subjected to a moving harmonic line load in integration form. The solution is finally carried out using the inverse Fourier transform. To evaluate the integration analytically, poles of the integrand are identified with the help of algebraic equation theory. Residue theorem is then utilized to represent the integration as a contour integral in the complex plane. Closed‐form deflections and numerical results are provided for different combinations of load frequency and velocity. Copyright © 2002 John Wiley & Sons, Ltd.