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

3D Dynamic Response of Infinite Plate on Orthotropic Foundation under Moving Loads

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.

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 the soil orthotropic 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.