Harmonic rocking of a rigid strip on a semi infinite elastic medium
type: Item
instance of: scholarly article
title: Harmonic rocking of a rigid strip on a semi infinite elastic medium
zbMATH Open document ID: 0588.73197
author: M. Ghosh
author: M. L. Ghosh
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1985-01-01T00:00:00Z
review text: Rocking motion of a rigid strip on a semi-infinite elastic medium having a frictionless contact with the medium has been studied. Mixed boundary conditions on the free surface have been prescribed. The forced rocking of the strip about the horizontal axis has been reduced to the solution of a dual integral equation. Following \textit{C. J. Tranter} [Integral Transforms in Mathematical Physics (1966; Zbl 0135.160)] the dual integral equation has been solved by reducing the equation to a system of linear algebraic equations which is then solved iteratively for low frequency oscillation. The stress distribution on the surface below the strip and the reactive couple exerted by the elastic material on the strip are determined.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
zbMATH DE Number: 3945602
zbMATH Keywords: Rocking motion
zbMATH Keywords: rigid strip
zbMATH Keywords: semi-infinite elastic medium
zbMATH Keywords: frictionless contact
zbMATH Keywords: dual integral equation
zbMATH Keywords: system of linear algebraic equations
zbMATH Keywords: solved iteratively
zbMATH Keywords: low frequency oscillation
zbMATH Keywords: stress distribution
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3945602