[1]王博,张春丽,祝彦知.正交各向异性路基路面在移动荷载作用下的空间动力响应[J].郑州大学学报(工学版),2019,40(01):50.[doi:10.13705/j.issn.1671-6833.2018.04.013]
　Wang Bo,Zhang Chunli,Zhu Yanzhi.3D Dynamic Response of Infinite Plate on Orthotropic Foundation under Moving Loads[J].Journal of Zhengzhou University (Engineering Science),2019,40(01):50.[doi:10.13705/j.issn.1671-6833.2018.04.013]
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正交各向异性路基路面在移动荷载作用下的空间动力响应()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
40卷
期数:
2019年01期
页码:
50
栏目:
出版日期:
2019-01-10

文章信息/Info

Title:
3D Dynamic Response of Infinite Plate on Orthotropic Foundation under Moving Loads
作者:
王博; 张春丽; 祝彦知
1. 郑州大学水利与环境学院;2. 中原工学院信息商务学院;3. 中原工学院建筑工程学院
Author(s):
Wang Bo 1; Zhang Chunli 1; 2; Zhu Yanzhi 3
1. School of Water Conservancy and Environment, Zhengzhou University ;2. School of Information Business, Zhongyuan University of Technology; 3. School of Architectural Engineering, Zhongyuan University of Technology
关键词:
正交各向异性地基; 移动荷载; 弹性板; 动力响应
Keywords:
Orthotropic foundation; moving load; elastic board; dynamic response
DOI:
10.13705/j.issn.1671-6833.2018.04.013
文献标志码:
A
摘要:
基于薄板理论建立了直角坐标系正交各向异性弹性地基上覆无限大弹性板的路基路面三维空间力学模型，推导了板和地基在移动荷载作用下稳态响应的微分方程。采用坐标变换、Fourier变换求解偏微分方程，得到了移动荷载作用下无限大板的动力响应的解析解．采用MATLAB软件编制了相应的计算程序，对路面板表面作用移动矩形谐振荷载进行算例分析，研究了地基参数对板位移的影响规律．结果表明：考虑土体的正交各向异性更能准确描述路基路面相互作用的动力响应。
Abstract:
The mechanics model of the infinite elastic plate on orthotropic foundation were established under the rectangular coordinate system. And the dynamic equations of plate and foundation were derived under moving loads based on the thin plate theory. By means of the coordinate transformation and Fourier integral transform, the integral forms of dynamic responses of plate and foundation were obtained. Numerical example was given on condition that harmonic vibrating rectangular load was applied on the pavement plate surface. The calculation procedure was performed by MATLAB software. Studies were conducted to investigate the effect of parameters on the plate displacements. The results showed that the dynamic response of the subgrade and pavement interaction could be accurately described by considering the orthogonality of the soil

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更新日期/Last Update: 2019-02-28