ON THE JUMPING PROBLEMS OF A CIRCULAR THIN PLATE WITH INITIAL DEFLECTION

In this paper,the jumping problems of a circular thin plate with initial defletion arestudied by using the method of two variables proposed by Jiang Fu-ru and the methodof the normal perturbation(in this paper (1.1), (1.2)).We obtain Nth-order uniformly validasymptotic expansion of the solution of this problem ((1.66), (1.67)).When the initialdeflection vanishes the solution of a circular thinplate with initial deflection is reduced tothe solution of the problems of the nonlinear bending of a circular thin plate.If the initialdeflection is largish and the signs of the initial deflection with the intensity of the transverseload are opposite,when the intensity of the transverse load reaches a certain value,thecircular thin plate with initial deflection should produce the jumping phenomenon.