DQM free vibration analysis of moderately thick symmetric laminated plates with elastically restrained edges

2006 ◽  
Vol 74 (1) ◽  
pp. 115-125 ◽  
Author(s):  
G. Karami ◽  
P. Malekzadeh ◽  
S.R. Mohebpour
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Laminated Plates ◽  
Elastically Restrained Edges ◽  
Elastically Restrained

Free vibration analysis of laminated composite plates with elastically restrained edges using FEM

2013 ◽  
Vol 3 (2) ◽  
Author(s):  
Avadesh Sharma ◽  
N. Mittal
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Composite Plates ◽  
Laminated Plates ◽  
Laminated Composite Plates ◽  
Elastically Restrained Edges ◽  
Elastically Restrained

AbstractThe application of FEM is shown for free vibration analysis of moderately thick laminated composite plates with edges elastically restrained against translation and rotation. The governing equations employed are based on the first order shear deformation theory including the effects of rotary inertia. Several combinations of translational and rotational elastic edge constraints are considered. Convergence study with respect to the number of nodes has been carried out and the results are compared with those from past investigations available only for simpler problems. Angle-ply and cross-ply laminates with different thickness-to-length ratios are examined. Comparisons are made with results for thin as well as moderately thick laminated plates.

scholarly journals Dynamical Analysis of Long Fiber-Reinforced Laminated Plates with Elastically Restrained Edges

2012 ◽  
Vol 2012 ◽  
pp. 1-16
Author(s):  
Liz G. Nallim ◽  
Facundo J. Bellomo ◽  
Ricardo D. Quinteros ◽  
Sergio Oller
Keyword(s):  
Mechanical Properties ◽  
Free Vibration ◽  
Volume Fraction ◽  
Optimization Problems ◽  
Dynamical Behavior ◽  
Free Vibration Analysis ◽  
Laminated Plates ◽  
Geometrical Parameters ◽  
Elastically Restrained Edges ◽  
Elastically Restrained

This paper presents a variational formulation for the free vibration analysis of unsymmetrically laminated composite plates with elastically restrained edges. The study includes a micromechanics approach that allows starting the study considering each layer as constituted by long unidirectional fibers in a continuous matrix. The Mori-Tanaka method is used to predict the mechanical properties of each lamina as a function of the elastic properties of the components and of the fiber volume fraction. The resulting mechanical properties for each lamina are included in a general Ritz formulation developed to analyze the free vibration response of thick laminated anisotropic plates resting on elastic supports. Comprehensive numerical examples are computed to validate the present method, and the effects of the different mechanical and geometrical parameters on the dynamical behavior of different laminated plates are shown. New results for general unsymmetrical laminates with elastically restrained edges are also presented. The analytical approximate solution obtained in this paper can also be useful as a basis to deal with optimization problems under, for instance, frequency constraints.

Sign in / Sign up

Export Citation Format

Share Document