Steady-State Dynamical Response of a Strongly Nonlinear System with Impact and Coulomb Friction Subjected to Gaussian White Noise Excitation
Joint Authors
Su, Meng
Huang, Dongmei
Yang, Guidong
Li, Wei
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The paper is devoted to the steady-state dynamical response analysis of a strongly nonlinear system with impact and Coulomb friction subjected to Gaussian white noise excitation.
The Zhuravlev nonsmooth transformation of the state variables combined with the Dirac delta function is utilized to simplify the original system to one without velocity jump.
Then, the steady-state probability density functions of the transformed system are derived in terms of the stochastic averaging method of energy envelope.
The effectiveness of the presented analytical procedure is verified by those from the Monte Carlo simulation based on the original system.
Effects of different restitution coefficients, amplitudes of friction, and noise intensities on the steady-state dynamical responses are investigated in detail.
Results show different intensities of Gaussian white noise can affect the peaks value of the probability density functions, whereas the variations of restitution coefficients and amplitudes of friction can induce the occurrence of stochastic P-bifurcation.
American Psychological Association (APA)
Yang, Guidong& Huang, Dongmei& Li, Wei& Su, Meng. 2020. Steady-State Dynamical Response of a Strongly Nonlinear System with Impact and Coulomb Friction Subjected to Gaussian White Noise Excitation. Shock and Vibration،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1212841
Modern Language Association (MLA)
Yang, Guidong…[et al.]. Steady-State Dynamical Response of a Strongly Nonlinear System with Impact and Coulomb Friction Subjected to Gaussian White Noise Excitation. Shock and Vibration No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1212841
American Medical Association (AMA)
Yang, Guidong& Huang, Dongmei& Li, Wei& Su, Meng. Steady-State Dynamical Response of a Strongly Nonlinear System with Impact and Coulomb Friction Subjected to Gaussian White Noise Excitation. Shock and Vibration. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1212841
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1212841