移动荷载下正交各向异性地基无限大板的动力响应

张春丽; 王博; 祝彦知

doi:10.11779/CJGE201702020

移动荷载下正交各向异性地基无限大板的动力响应 English Version

张春丽^{1, 2},
王博¹,
祝彦知²

1. 郑州大学水利与环境工程学院,河南郑州 450002;
2. 中原工学院建筑工程学院,河南郑州 450000

基金项目: 河南省高等学校青年骨干教师资助计划项目（2015GGJS-277）; 河南省科技攻关项目（082102360056）; 郑州市科技攻关计划项目（10PTGG382-2）

详细信息

作者简介:
张春丽(1979- ),女,副教授,博士研究生,主要从事岩土和地下结构等方面的研究。E-mail：chunli168@163.com。

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出版历程
- 收稿日期: 2015-11-17
- 发布日期: 2017-03-24

Dynamic response of infinite plate on orthotropic half-plane medium under moving loads

1. College of Water Conservancy & Environmental Engineering, Zhengzhou University, Zhengzhou 450000, China;
2.School of Civil Engineering and Architecture, Zhongyuan University of Technology, Zhengzhou 450000, China

摘要

摘要: 以薄板理论和弹性动力学理论为前提,以位移分量为基本未知量,建立了直角坐标系下的移动谐振荷载作用下正交各向异性地基上覆无限大弹性板的力学模型和动力微分方程;然后用坐标变换和Fourier积分变换,且引入边界条件,推导了移动荷载作用下无限大板的挠度和薄板与地基之间的接触应力的积分形式解。基于推导的理论方法,编制了相应的计算程序,并对薄板表面作用线性谐振荷载问题进行了算例分析,验证了方法的正确性。最后,对移动谐振荷载作用下公路路面板的动力响应进行了参数分析,研究了土体参数、板参数、荷载速度、荷载频率对其影响规律。结果表明：土体的各向异性、板厚、板的弹性模量、荷载移动的速度和振动频率对板动力响应影响很大。
- 移动荷载 /
- 正交各向异性地基 /
- 弹性板 /
- 动力响应 /
- Fourier变换
Abstract: Based on the thin plate theory and the elastodynamics theory, the mechanical analysis model and the dynamic differential equations for the infinite elastic plate on orthotropic foundation under moving harmonic loads are established by taking the displacement component as the basic unknown quantity under the rectangular coordinate system. The initial and boundary conditions are introduced so that the integral forms of plate deflection and the contact stress between the plate and the foundation under moving loads are derived by means of the coordinate transformation and the Fourier integral transform. The calculation procedure is performed based on the derived theory method. The numerical results for the dynamic response of plates on orthotropic foundation are presented under harmonic vibrating strip moving loads, and the numerical solutions in time domain are achieved. The numerical examples show that the method is reasonable and feasible. Finally, the dynamic response parameters of highway pavement plate under moving harmonic loads are analyzed. The effects of soil parameters, board parameters, load speeds and load frequencies on the maximum and distribution of dynamic responses are investigated, and the characteristics of dynamic responses of the plate are studied. The results indicate that the orthotropic parameters of soil, thickness and elastic modulus of plate, load frequency and moving speed have a great influence on the dynamic responses of plate.
- moving load /
- orthotropic foundation /
- elastic plate /
- dynamic response /
- Fourier transform

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