DYNAMIC STABILITY OF A RECTANGULAR PLATE ON PASTERNAK FOUNDATION SUBJECTED TO SINUSOIDALIY TIME-VARYING IN-PLANE LOAD

摘要

The dynamic stability behavior of a rectangular plate on a Pasternak foundation which is an elastic foundation with a rate-independent shear layer interposed between the plate and the foundation under the action of a pulsating in-plane load is studied. The small deflection theory of the thin plate is used. The problem is solved by using a Galerkin method and the harmonic balance method．Natural frequeneies and static buckling load are shown for various boundary conditions and parameters of Pasternak foundation at first. Then, regions of instability which contain simple parametric resonances and conbination resonances are discussed.