NDLI: Large Amplitude Vibrations of Laminated Rectangular Plates With Free Edges

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Alijani, F. Amabili, M.
Copyright Year	2013
Abstract	Nonlinear forced vibrations of completely free laminated composite rectangular plates are studied using multi-modal Lagrangian approach. Nonlinear higher-order shear deformation theory is used and the nonlinear response to transverse harmonic excitation in the frequency neighborhood of the fundamental mode is investigated. The numerical analysis is conducted in two steps. First, the plate displacements and rotations are expanded in terms of Chebyshev polynomials and a linear analysis is performed to obtain the natural frequencies and mode shapes. Then, the energy functional is discretized by using the natural modes of vibration and a system of nonlinear ordinary differential equations with cubic and quadratic nonlinear terms is obtained. A pseudo arc-length continuation and collocation scheme is employed to carry out a bifurcation analysis. A consistent reduced-order model necessary to capture the nonlinear dynamics of the plate is developed and the effect of number of modes retained in the numerical model is discussed.
File Format	PDF
ISBN	9780791856253
DOI	10.1115/IMECE2013-62254
Volume Number	Volume 4B: Dynamics, Vibration and Control
Conference Proceedings	ASME 2013 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2013-11-15
Publisher Place	San Diego, California, USA
Access Restriction	Subscribed
Subject Keyword	Mode shapes Nonlinear dynamics Vibration Composite materials Numerical analysis Computer simulation Differential equations Shear deformation Plates (structures) Bifurcation Polynomials Excitation
Content Type	Text
Resource Type	Article

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