A Closure Procedure for Random Vibration Parametric Resonances
Autor: | A. Chrzeszczyk, L. Stettner, Roman V. Bobryk |
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Rok vydání: | 2005 |
Předmět: |
0209 industrial biotechnology
Mechanical Engineering Gaussian Numerical analysis Mathematical analysis Linear system Aerospace Engineering 02 engineering and technology symbols.namesake 020303 mechanical engineering & transports 020901 industrial engineering & automation 0203 mechanical engineering Mechanics of Materials Control theory Automotive Engineering Parametric model symbols General Materials Science Random vibration Parametric oscillator Eigenvalues and eigenvectors Parametric statistics Mathematics |
Zdroj: | Journal of Vibration and Control. 11:215-223 |
ISSN: | 1741-2986 1077-5463 |
DOI: | 10.1177/1077546305049052 |
Popis: | We investigate the mean-square stability for single-degree-of-freedom linear systems with random parametric excitation. The excitation is assumed to be of the form of a Gaussian stationary non-white process. We propose a new numerical approach to determine regions of parametric resonances based on a closure procedure for hierarchy of moment equations. Mean-square stability charts are obtained using the numerical analysis of eigenvalues for large-scale matrices. The results show three parametric resonances for narrow-band excitations. |
Databáze: | OpenAIRE |
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