• 全国中文核心期刊
  • 中国科技核心期刊
  • 美国工程索引(EI)收录期刊
  • Scopus数据库收录期刊
张春丽, 王博, 祝彦知. 移动荷载下正交各向异性地基无限大板的动力响应[J]. 岩土工程学报, 2017, 39(2): 352-358. DOI: 10.11779/CJGE201702020
引用本文: 张春丽, 王博, 祝彦知. 移动荷载下正交各向异性地基无限大板的动力响应[J]. 岩土工程学报, 2017, 39(2): 352-358. DOI: 10.11779/CJGE201702020
ZHANG Chun-li, WANG Bo, ZHU Yan-zhi. Dynamic response of infinite plate on orthotropic half-plane medium under moving loads[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(2): 352-358. DOI: 10.11779/CJGE201702020
Citation: ZHANG Chun-li, WANG Bo, ZHU Yan-zhi. Dynamic response of infinite plate on orthotropic half-plane medium under moving loads[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(2): 352-358. 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

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

  • 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。

     

    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.

     

/

返回文章
返回