Nonlinear Dynamics Modeling and Subharmonic Resonances Analysis of a Laminated Composite Plate
Joint Authors
Ma, Ting
Song, Xiao Juan
Lu, Shu Feng
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-13
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The nonlinear subharmonic resonance of an orthotropic rectangular laminated composite plate is studied.
Based on the theory of high-order shear laminates, von Karman's geometric relation for the large deformation of plates, and Hamilton's principle, the nonlinear dynamic equations of a rectangular, orthotropic composite laminated plate subjected to the transverse harmonic excitation are established.
According to the displacement boundary conditions, the modal functions that satisfy the boundary conditions of the rectangular plate are selected.
The two-degree-of-freedom ordinary differential equations that describe the vibration of the rectangular plate are obtained by the Galerkin method.
The multiscale method is used to obtain an approximate solution to the resonance problem.
Both the amplitude-frequency equation and the average equations in the Cartesian coordinate form are obtained.
The amplitude-frequency curves, bifurcation diagrams, phase diagrams, and time history diagrams of the rectangular plate under different parameters are obtained numerically.
The influence of relevant parameters, such as excitation amplitude, tuning parameter, and damping coefficient, on the nonlinear dynamic response of the system is analyzed.
American Psychological Association (APA)
Ma, Ting& Song, Xiao Juan& Lu, Shu Feng. 2020. Nonlinear Dynamics Modeling and Subharmonic Resonances Analysis of a Laminated Composite Plate. Shock and Vibration،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1210336
Modern Language Association (MLA)
Ma, Ting…[et al.]. Nonlinear Dynamics Modeling and Subharmonic Resonances Analysis of a Laminated Composite Plate. Shock and Vibration No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1210336
American Medical Association (AMA)
Ma, Ting& Song, Xiao Juan& Lu, Shu Feng. Nonlinear Dynamics Modeling and Subharmonic Resonances Analysis of a Laminated Composite Plate. Shock and Vibration. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1210336
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1210336