Horizontal vibrations of a disk on a poroelastic half-space

✍ Scribed by Bo Jin; Hua Liu

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 131 KB
• Volume: 19
• Category: Article
• ISSN: 0267-7261
• DOI: 10.1016/s0267-7261(00)00014-2

✦ Synopsis

This paper analytically examines the horizontal vibration of a rigid disk on a saturated poroelastic half-space. The pressure-solid displacement form of the harmonic equations of motion for asymmetric dynamic problem are developed from the form of the equations originally presented by Biot. Making use of a new method the solution of the above equations is obtained. According to the mixed boundaryvalue conditions, the dual integral equations of the horizontal vibration of a rigid disk on a saturated poroelastic half-space are established. By appropriate transforms, it is shown that the dual integral equations can be reduced to a pair of Fredholm integral equations of the second kind, whose solutions are then computed. Numerical results for the horizontal dynamic compliance coefficient are given at the end of this paper.