力学与实践 ›› 2007, Vol. 29 ›› Issue (1): 42-45.DOI: 10.6052/1000-0992-2006-056

• 应用研究 • 上一篇    下一篇

横观各向同性饱和地基上无限板的稳态振动

王小岗   

  1. 浙江大学建筑工程学院, 浙江杭州 310027
  • 收稿日期:2006-02-17 修回日期:2006-04-24 出版日期:2007-02-10 发布日期:2007-02-10

THE HARMONIC VIBRATION OF INFINITE PLATE ON TRANSVERSELY ISOTROPIC SATURATED SOIL GROUND

  • Received:2006-02-17 Revised:2006-04-24 Online:2007-02-10 Published:2007-02-10

摘要: 研究了横观各向同性饱和土地基上无限板的稳态振动问题. 基于直角坐标系下横观各向同性饱和介质Biot波动方程的一般解,采用双重Fourier积分变换技术,建立了饱和地基与无限矩形板相互作用的动力方程,利用数值方法求解该方程,得到任意谐振荷载作用下饱和半空间体上无限板稳态响应的一般解. 数值结果表明,横观各向同性饱和地基上无限板的振动与各向同性饱和地基上的无限板的振动特性存在明显差异.

关键词: 横观各向同性, 饱和土, Biot波动方程, 无限板

Abstract: This paper studies the dynamic response of an infinite rectangular plate on transversely isotropic saturated soil ground under a harmonic excitation. Based on the general solutions of the 3-d wave motion equations in rectangular coordinates for transversely isotropic saturated soil media presented by the author, the equation for dynamic interaction between the saturated soils and plate is established and solved by using the technique of double Fourier transform. Integral solutions of displacements for the plate excited by a harmonic source are presented. The calculation results indicate an obvious difference of the vibration properties of the infinite plate based on the model of isotropic saturated soils and that based on the transversely isotropic saturated soils.

Key words: transversely isotropic, saturated soils, Biot's wave