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Stochastic Stability of Coupled Viscoelastic Systems Excited by Real Noise
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-28
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The moment stochastic stability and almost-sure stochastic stability of two-degree-of-freedom coupled viscoelastic systems, under the parametric excitation of a real noise, are investigated through the moment Lyapunov exponents and the largest Lyapunov exponent, respectively.
The real noise is also called the Ornstein-Uhlenbeck stochastic process.
For small damping and weak random fluctuation, the moment Lyapunov exponents are determined approximately by using the method of stochastic averaging and a formulated eigenvalue problem.
The largest Lyapunov exponent is calculated through its relation with moment Lyapunov exponents.
The stability index, the stability boundaries, and the critical excitation are obtained analytically.
The effects of various parameters on the stochastic stability of the system are then discussed in detail.
Monte Carlo simulation is carried out to verify the approximate results of moment Lyapunov exponents.
As an application example, the stochastic stability of a flexural-torsional viscoelastic beam is studied.
American Psychological Association (APA)
Deng, Jian. 2018. Stochastic Stability of Coupled Viscoelastic Systems Excited by Real Noise. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1207648
Modern Language Association (MLA)
Deng, Jian. Stochastic Stability of Coupled Viscoelastic Systems Excited by Real Noise. Mathematical Problems in Engineering No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1207648
American Medical Association (AMA)
Deng, Jian. Stochastic Stability of Coupled Viscoelastic Systems Excited by Real Noise. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1207648
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207648