Nonlinear dynamic variation equation of shallow conical shell is deduced first. A nonlinear differential equation contained second and third order differential is obtained with Galerkin method. Bifurcation problem of flexible shallow conical shell is discussed by aiding with Flouqet exponent. According to the result of document [1] that the Melnikov function is zero, the occurrence of chaotic phenomenon can be explained. The existence of chaotic motion is verified, and sensibility of some parameter is pointed out by numeric simulation.
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