Stochastic Stability Analysis of Coupled Viscoelastic Systems with Nonviscously Damping Driven by White Noise
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-16
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Nonviscously damped structural system has been raised in many engineering fields, in which the damping forces depend on the past time history of velocities via convolution integrals over some kernel functions.
This paper investigates stochastic stability of coupled viscoelastic system with nonviscously damping driven by white noise through moment Lyapunov exponents and Lyapunov exponents.
Using the coordinate transformation, the coupled Itô stochastic differential equations of the norm of the response and angles process are obtained.
Then the problem of the moment Lyapunov exponent is transformed to the eigenvalue problem, and then the second-perturbation method is used to derive the moment Lyapunov exponent of coupled stochastic system.
Lyapunov exponent also can be obtained according to the relationship between moment Lyapunov exponent and Lyapunov exponent.
Finally, the effects of various physical quantities of stochastic coupled system on the stochastic stability are discussed in detail.
These results are validated by the direct Monte Carlo simulation technique.
American Psychological Association (APA)
Liu, Di& Wu, Yanru& Xie, Xiufeng. 2018. Stochastic Stability Analysis of Coupled Viscoelastic Systems with Nonviscously Damping Driven by White Noise. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1208473
Modern Language Association (MLA)
Liu, Di…[et al.]. Stochastic Stability Analysis of Coupled Viscoelastic Systems with Nonviscously Damping Driven by White Noise. Mathematical Problems in Engineering No. 2018 (2018), pp.1-16.
https://search.emarefa.net/detail/BIM-1208473
American Medical Association (AMA)
Liu, Di& Wu, Yanru& Xie, Xiufeng. Stochastic Stability Analysis of Coupled Viscoelastic Systems with Nonviscously Damping Driven by White Noise. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1208473
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208473