A unified approach to study the forced linear and geometrically nonlinear elastic vibrations of fiber-reinforced laminated composite plates subjected to uniform load on the entire plate as well as on a localized area is presented in this paper. To accommodate different shapes of the plate, the analytical procedure has two parts. The first part deals with the geometry which is interpolated by relatively low-order polynomials. In the second part, the displacement based -type method is briefly presented where the displacement fields are defined by significantly higher-order polynomials than those used for the geometry. Simply supported square, rhombic, and annular circular sector plates are modeled. The equation of motion is obtained by the Hamilton’s principle and solved by beta- method along with the Newton–Raphson iterative scheme. Numerical procedure presented herein is validated successfully by comparing present results with the previously published data, convergence study, and fast Fourier transforms of the linear and nonlinear transient responses. The geometric nonlinearity is seen to cause stiffening of the plates and in turn significantly lowers the values of displacements and stresses. Also as expected, the frequencies are increased for the nonlinear cases.
Skip Nav Destination
e-mail: avsingh@eng.uwo.ca
Article navigation
October 2009
Research Papers
Linear and Nonlinear Dynamic Responses of Various Shaped Laminated Composite Plates
Muhammad Tanveer,
Muhammad Tanveer
Department of Mechanical and Materials Engineering,
The University of Western Ontario
, London, ON, N6A 5B9, Canada
Search for other works by this author on:
Anand V. Singh
Anand V. Singh
Department of Mechanical and Materials Engineering,
e-mail: avsingh@eng.uwo.ca
The University of Western Ontario
, London, ON, N6A 5B9, Canada
Search for other works by this author on:
Muhammad Tanveer
Department of Mechanical and Materials Engineering,
The University of Western Ontario
, London, ON, N6A 5B9, Canada
Anand V. Singh
Department of Mechanical and Materials Engineering,
The University of Western Ontario
, London, ON, N6A 5B9, Canadae-mail: avsingh@eng.uwo.ca
J. Comput. Nonlinear Dynam. Oct 2009, 4(4): 041011 (13 pages)
Published Online: September 2, 2009
Article history
Received:
June 5, 2008
Revised:
March 13, 2009
Published:
September 2, 2009
Citation
Tanveer, M., and Singh, A. V. (September 2, 2009). "Linear and Nonlinear Dynamic Responses of Various Shaped Laminated Composite Plates." ASME. J. Comput. Nonlinear Dynam. October 2009; 4(4): 041011. https://doi.org/10.1115/1.3187177
Download citation file:
Get Email Alerts
Cited By
An Efficient Analysis of Amplitude and Phase Dynamics in Networked MEMS-Colpitts Oscillators
J. Comput. Nonlinear Dynam (January 2025)
A Comparative Analysis Among Dynamics Modeling Approaches for Space Manipulator Systems
J. Comput. Nonlinear Dynam (January 2025)
A Finite Difference-Based Adams-Type Approach for Numerical Solution of Nonlinear Fractional Differential Equations: A Fractional Lotka–Volterra Model as a Case Study
J. Comput. Nonlinear Dynam (January 2025)
Nonlinear Dynamic Analysis of Riemann–Liouville Fractional-Order Damping Giant Magnetostrictive Actuator
J. Comput. Nonlinear Dynam (January 2025)
Related Articles
Nonlinear Forced Vibrations of Laminated Piezoelectric Plates
J. Vib. Acoust (April,2010)
Active Damping of Nonlinear Vibrations of Functionally Graded Laminated Composite Plates using Vertically/Obliquely Reinforced 1-3 Piezoelectric Composite
J. Vib. Acoust (April,2012)
Free In-Plane Vibration Analysis of Rectangular Plates With Elastically Point-Supported Edges
J. Vib. Acoust (June,2010)
Vibration of Pre-stressed Laminated Sandwich Plates With Interlaminar
Imperfections
J. Vib. Acoust (December,2006)
Related Proceedings Papers
Related Chapters
Vibration of Plates
Design of Plate and Shell Structures
A New Exact Analytical Approach for In-Plane and Transverse Vibration of Thick Laminated Plates
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
Newton’s Method for Piezoelectric Systems
Vibrations of Linear Piezostructures