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Nonlinear Parametric Vibration and Chaotic Behaviors of an Axially Accelerating Moving Membrane
Joint Authors
Wang, Yan
Wu, Jimei
Shao, Mingyue
Wu, Qiumin
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-11
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Nonlinear vibration characteristics of a moving membrane with variable velocity have been examined.
The velocity is presumed as harmonic change that takes place over uniform average speed, and the nonlinear vibration equation of the axially moving membrane is inferred according to the D’Alembert principle and the von Kármán nonlinear thin plate theory.
The Galerkin method is employed for discretizing the vibration partial differential equations.
However, the solutions concerning to differential equations are determined through the 4th order Runge–Kutta technique.
The results of mean velocity, velocity variation amplitude, and aspect ratio on nonlinear vibration of moving membranes are emphasized.
The phase-plane diagrams, time histories, bifurcation graphs, and Poincaré maps are obtained; besides that, the stability regions and chaotic regions of membranes are also obtained.
This paper gives a theoretical foundation for enhancing the dynamic behavior and stability of moving membranes.
American Psychological Association (APA)
Shao, Mingyue& Wu, Jimei& Wang, Yan& Wu, Qiumin. 2019. Nonlinear Parametric Vibration and Chaotic Behaviors of an Axially Accelerating Moving Membrane. Shock and Vibration،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1211407
Modern Language Association (MLA)
Shao, Mingyue…[et al.]. Nonlinear Parametric Vibration and Chaotic Behaviors of an Axially Accelerating Moving Membrane. Shock and Vibration No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1211407
American Medical Association (AMA)
Shao, Mingyue& Wu, Jimei& Wang, Yan& Wu, Qiumin. Nonlinear Parametric Vibration and Chaotic Behaviors of an Axially Accelerating Moving Membrane. Shock and Vibration. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1211407
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1211407