The flexural vibration of thin isotropic and polar orthotropic annular and circular plates with elastically restrained peripheries

1990 ◽  
Vol 143 (1) ◽  
pp. 171-179 ◽  
Author(s):  
C.S. Kim ◽  
S.M. Dickinson
Keyword(s):  
Flexural Vibration ◽  
Circular Plates ◽  
Elastically Restrained ◽  
Polar Orthotropic

Galerkin method and axisymmetric vibrations of polar-orthotropic circular plates

AIAA Journal ◽  
1982 ◽  
Vol 20 (11) ◽  
pp. 1626-1628 ◽  
Author(s):  
D. Avalos ◽  
H. Hack ◽  
P. A. A. Laura
Keyword(s):  
Galerkin Method ◽  
Circular Plates ◽  
Polar Orthotropic

Optimum Elastic Restraint for Pressurised Circular Plates

1963 ◽  
Vol 67 (632) ◽  
pp. 525-526
Author(s):  
Charles W. Bert
Keyword(s):  
Effective Stress ◽  
Elastic Material ◽  
Unit Volume ◽  
List Type ◽  
Maximum Deflection ◽  
Type Number ◽  
Circular Plates ◽  
Uniform Thickness ◽  
Isotropic Elastic Material ◽  
Elastically Restrained

SummaryFor uniform-thickness, solid circular plates made of isotropic elastic material and elastically restrained at the edge, expressions are derived for the optimum support stiffness to minimise the following quantities: 1.The largest effective stress based on several different strength theories.2.The largest effective stress per unit of maximum deflection or per unit volume displaced.

Vibration of Clamped Circular Symmetric Laminates

1994 ◽  
Vol 116 (2) ◽  
pp. 141-145 ◽  
Author(s):  
K. M. Liew
Keyword(s):  
Ritz Method ◽  
Numerical Procedure ◽  
Flexural Vibration ◽  
Boundary Function ◽  
Energy Functional ◽  
Laminated Plates ◽  
Mode Shapes ◽  
Circular Plates ◽  
Present Solution ◽  
Contour Plots

Treated in this paper is the free-flexural vibration analysis of symmetrically laminated thin circular plates. The total energy functional for the laminated plates is formulated where the pb-2 Ritz method is applied for the solution. The assumed displacement is defined as the product of (1) a two-dimensional complete polynomial function and (2) a basic boundary function. The simplicity and accuracy of the numerical procedure will be demonstrated by solving some plate examples. In the present study, the effects of material properties, number of layers and fiber stacking sequences upon the vibration frequency parameters are investigated. Selected mode shapes by means of contour plots for several 16-ply laminated plates with different fiber stacking sequences and composite materials are presented. This study may provide valuable information for researchers and engineers in design applications. In addition, the present solution plays an important role in increasing the existing data base for future references.

Sign in / Sign up

Export Citation Format

Share Document