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3D dynamic analysis of layered transversely isotropic saturated media subjected to circular moving loads

机译：横向各向同性饱和介质对圆形移动载荷的三维动态分析

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摘要

The purpose of this work is to analyze the dynamic response of transversely isotropic saturated media under circular moving loads, in which the vertical and tangential loads can be simultaneously considered. Based on Biot's poroelastic theory and the Galilean transformation, the partial differential governing equations in a fixed Cartesian coordinate system are converted into those in a moving coordinate system. The ordinary differential equations are obtained in the transformed domain by using the Fourier transform. The extended precise integration method for layered media is adopted to solve the equations in the transformed domain by introducing the boundary conditions. The solutions in the physical domain are acquired by the Fourier transform inversion. After verifying the accuracy of the presented method, we perform several numerical examples to analyze the influences of the transverse isotropy and stratification of media, load shapes and the tangential moving load on the dynamic behaviors.
机译：本作作品的目的是分析圆周移动载荷下横向各向同性饱和介质的动态响应，其中可以同时考虑垂直和切向载荷。基于Biot的Porelastic理论和Galilan转换，固定笛卡尔坐标系中的部分差分控制方程被转换为移动坐标系中的那些。通过使用傅立叶变换，在变换域中获得常微分方程。采用分层介质的扩展精确积分方法来通过引入边界条件来解决变换域中的等式。物理域中的解决方案由傅立叶变换反转获取。在验证所提出的方法的准确性之后，我们执行几个数值例子以分析跨越各向同性和介质分层的影响，负载形状和动态行为的切向移动负载。

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  • 来源
    《Applied Mathematical Modelling》 |2021年第7期|783-805|共23页
  • 作者

    Zhi Yong Ai; Xiao Ming Wang; Yong Zhi Zhao;

  • 作者单位

    Department of Geotechnical Engineering Key Laboratory of Ceotechnical and Underground Engineering of Ministry of Education College of Civil Engineering Tongji University 1239 Siping Road Shanghai 200092 P R China;

    Department of Geotechnical Engineering Key Laboratory of Ceotechnical and Underground Engineering of Ministry of Education College of Civil Engineering Tongji University 1239 Siping Road Shanghai 200092 P R China;

    Department of Geotechnical Engineering Key Laboratory of Ceotechnical and Underground Engineering of Ministry of Education College of Civil Engineering Tongji University 1239 Siping Road Shanghai 200092 P R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Circular moving loads; Vertical and tangential loads; Transverse isotropy; Layered saturated media; Extended precise integration method;

    机译：圆形移动载荷;垂直和切向载荷;横向同位素;分层饱和介质;扩展精确集成方法;

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