Modal Decoupling Using the Method of Weighted Residuals for the Nonlinear Elastic Dynamics of a Clamped Laminated Composite
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-07
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We develop an approach to reduce the governing equation of motion for the nonlinear vibration of a clamped laminated composite to the Duffing equation in a decoupled modal form.
The method of weighted residuals enables such a reduction for laminates with clamped boundary conditions.
Both rigidly clamped and loosely clamped boundary conditions are analyzed using this method.
The reduction method conserves the total energy of the system.
The decoupled modal form Duffing equation has constant modal parameters in terms of the laminated composite material's properties and geometries.
The numerical computations illustrate the individual modal response with an emphasis of the transitional phenomena to chaos caused by the large load.
American Psychological Association (APA)
He, Xiaoling. 2009. Modal Decoupling Using the Method of Weighted Residuals for the Nonlinear Elastic Dynamics of a Clamped Laminated Composite. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-19.
https://search.emarefa.net/detail/BIM-512612
Modern Language Association (MLA)
He, Xiaoling. Modal Decoupling Using the Method of Weighted Residuals for the Nonlinear Elastic Dynamics of a Clamped Laminated Composite. Mathematical Problems in Engineering No. 2009 (2009), pp.1-19.
https://search.emarefa.net/detail/BIM-512612
American Medical Association (AMA)
He, Xiaoling. Modal Decoupling Using the Method of Weighted Residuals for the Nonlinear Elastic Dynamics of a Clamped Laminated Composite. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-19.
https://search.emarefa.net/detail/BIM-512612
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512612