COUPLED SLIDING AND ROCKING VIBRATIONS OF A RIGID FOUNDATION ON AN ELASTIC MEDIUM.

D. G. Gupta*, R. A. Parmelee, R. J. Krizek

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

A lumped parameter model is used to study the coupled sliding and rocking behavior of an infinitely long, rigid foundation, whose base is contiguous with the surface of a linearly elastic half-space, over the total range of interest for soil properties and foundation dimensions. The natural frequencies of the system with and without radiation damping are found to be functions of the shear wave velocity and Poisson's ratio of the half-space material and the geometric proportions of the foundation. The total peak amplitude of vibration for the coupled motion is expressed in terms of a linear function whose coefficients are dependent on Poisson's ratio and the foundation dimensions, and graphical relationsh are presented to facilitate the determination of these coefficients. The significance of radiation damping in the system is clearly illustrated, and a quantitative evaluation of the possible error due to improper treatment of this phenomenon is given. The results obtained from the model are virtually identical with those determined from an analytical solution for the limiting case where the height of the foundation is zero.

Original languageEnglish (US)
Pages (from-to)113-121
Number of pages9
Journal[No source information available]
StatePublished - Jan 1 1973

ASJC Scopus subject areas

  • General Engineering

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