Harmonic rocking of a rigid strip on a semi infinite elastic medium
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.
scientific article; zbMATH DE number 3945602