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In this paper, we mainly study the limit of solutions to the two‐dimensional steady nonisentropic relativistic Euler flow onto a straight wedge. It turns out that the sequence of shock solutions tends to a delta wave adhering to the wedge surface when the velocity of the incident flow goes to the speed of light and the adiabatic index tends to 1 in turn. Meanwhile, it also verifies that the pressure...
With both analytical and numerical methods, global dynamics including chaotic motions and subharmonic bifurcations of current‐carrying conductors subjected to harmonic excitation are investigated in this paper. The system parameter conditions for chaos are obtained with the Melnikov method. The monotonicity of the critical value for chaos on the damping, alternating current, and excitation amplitude...
In this paper, we study the two dimensional Riemann problem of the Euler system for isentropic Chaplygin gas, and the initial data consist of three pieces constant states divided by an inverted Y‐type curve. The results extended the results in Chen and Qu where the solution of every one dimensional Riemann problem contains no slip plane. We divide the discussion into several cases and for each case,...
Nonlinear dynamic behaviors including global bifurcations and multi‐pulse chaotic dynamics of a rectangular thin plate with lumped mass subjected to a harmonic foundation excitation and in‐plane excitation are investigated in this paper. With the von Krmn equation and Galerkin method, the dynamic equation of the first two modes for this model is obtained. Utilized the method of multiple scales,...
This paper investigates the global bifurcations and chaotic dynamics for nonlinear oscillations of symmetric cross‐ply composite laminated plates in case of 1:2 internal resonance. The higher‐dimensional Melnikov method and its extensions developed by Kovai and Wiggins is employed to analyze the global bifurcations for composite laminated plates. The explicitly sufficient conditions of the existence...
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