Dynamic response of an infinite beam resting on a Winkler foundation to a load moving on its surface with variable speed

Muho Edmond V.; Beskou Niki D.

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Dynamic response of an infinite beam resting on a Winkler foundation to a load moving on its surface with variable speed

机译：用变速将Winkler基础搁在Winkler基础上的无限梁的动态响应

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摘要

The problem of the dynamic response of an infinite beam resting on a Winkler foundation to a load moving on its surface with variable speed is solved here analytically/numerically under conditions of plane strain. The beam is linearly elastic with viscous damping and obeys the theory of Bernoulli-Euler. The elastic foundation is characterized by its spring constant and hysteretic damping coefficient. The moving point load has an amplitude harmonically varying with time and moves with constant acceleration or deceleration along the top beam surface. The problem is solved by first applying the Fourier transform with respect to the horizontal coordinate x and the Laplace transform with respect to time t to reduce the governing equation of motion of the beam to an algebraic one, which is solved analytically. The transformed beam deflection solution is inverted numerically after some simplifying analytical manipulations to produce the time domain beam response. Parametric studies are conducted in order to assess the effects of the various parameters on the response of the beam, especially those of acceleration and deceleration. Comparisons with the case of a finite beam are also done in order to assess the effect of the beam length.

机译：在平面应变条件下，在这里，在此处解决了在Winkler基础上搁置在Winkler基础上以在其表面上移动的负载的动态响应。梁是线性弹性的，粘性阻尼和拜访Bernoulli-euler理论。弹性基础的特征在于其弹簧恒定和滞后阻尼系数。移动点负荷具有振幅，随时间谐振，并且沿顶梁表面的恒定加速或减速移动。通过首先将傅里叶变换相对于水平坐标X和Laplace变换相对于时间t应用于时间t来解决该问题，以将光束的运动的控制变换降低到分析地解决的代数。在一些简化的分析操纵以产生时域波束响应之后，转换的光束偏转溶液在数值上反转。进行参数研究，以评估各种参数对光束响应的影响，尤其是加速和减速的影响。还进行了有限梁的情况的比较，以便评估光束长度的效果。

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来源
《Soil Dynamics and Earthquake Engineering》 |2018年第6期|150-153|共4页
作者
Muho Edmond V.; Beskou Niki D.;
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作者单位

Univ Patras Dept Civil Engn Patras 26504 Greece;

Univ Patras Dept Civil Engn Patras 26504 Greece;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Infinite beam; Winkler foundation; Moving load; Variable speed; Laplace transform; Fourier transform;

机译：无限梁;Winkler基础;移动负载;变速;拉普拉斯变换;傅里叶变换;

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1. Discussion on 1) 'Dynamic response of a finite beam resting on a Winkler foundation to a load moving on its surface with variable speed' by ND Beskou and MV Muho [Soil Dyn. Earthq. Eng. 109(2018), 222-226] and 2) 'Dynamic response of an infinite beam resting on a Winkler foundation to a load moving on its surface with variable speed' by MV Muho and ND Beskou [Soil Dyn. Earthq. Eng. 109(2018), 150-153] [J] . Konstantinos A. Skalomenos Soil Dynamics and Earthquake Engineering . 2018,第Deca期

机译：ND Beskou和MV Muho [Soil Dyn。1（1）讨论了1）“基于Winkler基础的有限梁对在其表面上变速移动的负载的动态响应”。
2. Discussion on 1) 'Dynamic response of a finite beam resting on a Winkler foundation to a load moving on its surface with variable speed' by ND Beskou and MV Muho [Soil Dyn. Earthq. Eng. 109(2018), 222-226] and 2) 'Dynamic response of an infinite beam resting on a Winkler foundation to a load moving on its surface with variable speed' by MV Muho and ND Beskou [Soil Dyn. Earthq. Eng. 109(2018), 150-153] [J] . Konstantinos A. Skalomenos Soil Dynamics and Earthquake Engineering . 2018,第DECa期

机译：ND Beskou和MV Muho [Soil Dyn。1（1）讨论了1）“基于Winkler基础的有限梁对在其表面上变速移动的负载的动态响应”。 Earthq。。 109（2018），222-226]和2）MV Muho和ND Beskou [Soil Dyn。 Earthq。。 109（2018），150-153]
3. Authors' Reply to Discussion on 1) 'Dynamic response of a finite beam resting on a Winkler foundation to a load moving on its surface with variable speed' by ND Beskou and MV Muho [Soil Dyn. Earthq. Eng. 109(2018), 222-226] and 2) 'Dynamic response of an infinite beam resting on a Winkler foundation to a load moving on its surface with variable speed' by MV Muho and ND Beskou [Soil Dyn. Earthq. Eng. 109(2018), 150-153] [J] . Edmond V. Muho, Niki D. Beskou Soil Dynamics and Earthquake Engineering . 2018,第DECa期

机译：作者对1）“讨论的答复” ND Beskou和MV Muho ［在Winkler地基上的有限梁对在其表面上变速移动的负载的动态响应］ Earthq。。 109（2018），222-226]和2）MV Muho和ND Beskou [Soil Dyn。1989，222-226]和2）“置于Winkler基础上的无限梁对其在表面上变速移动的载荷的动态响应”。 Earthq。。 109（2018），150-153]
4. A new analytical method to calculate critical velocity for an infinite Bernoulli-Euler beam on a winkle-type elastic foundation subjected to a harmonic moving load [C] . Bin Zhen, Wei Luo International Conference on Modern Engineering Solutions for the Industry . 2015

机译：一种新的分析方法，以计算谐波型弹性基础的无限伯努利 - 欧拉梁的临界速度
5. Seismic response of pile foundation in saturated sand using Beam on Nonlinear Winkler Foundation approach. [D] . Talukder, Mohammad Kamruzzaman. 2009

机译：非线性Winkler地基梁法在饱和砂土中桩基础的地震反应。
6. Free vibration of a piezoelectric nanobeam resting on nonlinear Winkler-Pasternak foundation by quadrature methods [O] . Ola Ragb, Mokhtar Mohamed, M.S. Matbuly 2019

机译：基于正交方法的非线性Winkler-Pasternak基础上压电纳米束的自由振动
7. Dynamic response to moving masses of rectangular plates with general boundary conditions and resting on variable winkler foundation [O] . T. O. Awodola, S. T. Oni 2013

机译：具有一般边界条件的矩形板移动质量和可变闪光基础休息的动态响应
8. The Design of Beams on Winkler-Pasternak Foundations for Minimum Dynamic Response and Maximum Eigenfrequency [R] . Adali, S. 1981

机译：Winkler-pasternak地基上最小动力响应和最大特征频率的梁设计

Dynamic response of an infinite beam resting on a Winkler foundation to a load moving on its surface with variable speed

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