关键词: polar continua, coupled, transport theorem, conservation law of mass and inertia

Abstract: In this paper, the jumping problems of a circular thin plate with initial deflection are studied by using the method of two variables,[3][4]proposed by Jiang Fu-ru and the method of the normal perturbation (in this paper (1.1), (1.2)). We obtain Nth-order uniformly valid asymptotic expansion of the solution of this problem ((1.66), (1.67)). When the initial deflection vanishes the solution of a circular thinplate with initial deflection is reduced to the solution of the problems of the nonlinear bending of a circular thin plate [6]. If the initial deflection is largish and the signs of the initial deflection with the intensity of the transverse load are opposite, when the intensity of the transverse load reaches a certain value, the circular thin plate with initial deflection should produce the Jumping phenomenon[8].

Key words: polar continua, coupled, transport theorem, conservation law of mass and inertia