Stability of Nonlinear Two-Frequency Oscillation of Cylindrical Shells
Publication: Journal of Engineering Mechanics
Volume 123, Issue 10
Abstract
The moment scheme of the finite element method and the method of generalized coordinates are used to construct a multi-degree-of-freedom nonlinear model of a cylindrical shell subjected to two-frequency excitations. This model consists of a system of nonlinear differential equations. The incremental method is then used to find the solution of the equation in the frequency domain, while the Poincaré map, spectral analysis, and Floquet's theory are applied to the stability of the solution at every step of the incremental method. Solutions and discussions are presented to substantiate the suggested algorithm. It is shown that similar results are obtained by using the Poincaré map with numerical integration and Floquet's theory with Fourier's expansion. However, Floquet's theory is a lot less time-consuming and it pinpoints more accurately the moment of loss of stability.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 123 • Issue 10 • October 1997
Pages: 1034 - 1040
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Oct 1, 1997
Published in print: Oct 1997
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