Chaotic oscillations of a shallow cylindrical shell with rectangular boundary under cyclic excitation
- Gunma Univ., Kiryu (Japan). Dept. of Mechanical Engineering
- Subaru Research Center Co., Ltd., Ota, Gunma (Japan)
This paper presents numerical solutions for the chaotic oscillations of a shallow cylindrical shell. The shell having a circular cylindrical surface and a rectangular boundary is excited by periodic acceleration laterally. The Donnell equations modified with the transverse inertia force are used. The basic equation is reduced to the nonlinear differential equation of a multiple-degree-of-freedom system by the Galerkin procedure. The fundamental characteristics are found for the shell of a square boundary and of all boundaries simply supported. The time progresses of the chaotic responses are investigated by the numerical integration by the Runge-Kutta-Gill method. The chaotic response is identified by the Lyapunov exponent and the Poincare projection onto the phase space. The Lyapunov dimension is examined by changing the assumed modes of vibration.
- OSTI ID:
- 122653
- Report Number(s):
- CONF-950740--; ISBN 0-7918-1328-2
- Country of Publication:
- United States
- Language:
- English
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