FREE VIBRATIONS OF ANNULAR PLATES COUPLED WITH FLUIDS

1996 ◽  
Vol 191 (5) ◽  
pp. 825-846 ◽  
Author(s):  
M. Amabili ◽  
G. Frosali ◽  
M.K. Kwak
Keyword(s):  
Free Vibrations ◽  
Annular Plates

A GENERAL APPROXIMATE SOLUTION OF THE PROBLEM OF FREE VIBRATIONS OF ANNULAR PLATES OF STEPPED THICKNESS

1996 ◽  
Vol 196 (3) ◽  
pp. 275-283 ◽  
Author(s):  
D.R. Avalos ◽  
H.A. Larrondo ◽  
V. Sonzogni ◽  
P.A.A. Laura
Keyword(s):  
Approximate Solution ◽  
Free Vibrations ◽  
Annular Plates

Free vibrations of annular plates of variable thickness

1980 ◽  
Vol 12 (4) ◽  
pp. 508-512
Author(s):  
A. D. Lizarev ◽  
V. P. Kuz'mentsov
Keyword(s):  
Variable Thickness ◽  
Free Vibrations ◽  
Annular Plates ◽  
Plates Of Variable Thickness

Integral Equation Method for Free Vibration of Annular Plates with Elastic Supports

2011 ◽  
Vol 52-54 ◽  
pp. 573-577
Author(s):  
Gang Cheng ◽  
Wei Dong Wang ◽  
Quan Cheng
Keyword(s):  
Integral Equation ◽  
Eigenvalue Problem ◽  
Free Vibration ◽  
Infinite Order ◽  
Integral Equation Method ◽  
Free Vibrations ◽  
Equation Method ◽  
Orthogonal Functions ◽  
Elastic Supports ◽  
Annular Plates

Annular plates are commonly found in the fields of engineering. The present study is concerned with the integral equation method for the free vibrations of annular plates with elastic supports. A set of complete systems of orthogonal functions, which is constructed by Bessel functions of the first and the second kind is used to construct the Green's function of annular plates. The eigenvalue problem of free vibration of annular plates with Elastic Supports is transformed into the eigenvalue problem of integral equation. And then, the problem of integral equation is transformed into a standard eigenvalue problem of a matrix with infinite order. Numerical example shows the significant advantages of the present method.

Dynamic Modelling of Annular Plates of Functionally Graded Structure Resting on Elastic Heterogeneous Foundation with Two Modules

2015 ◽  
Vol 31 (5) ◽  
pp. 493-504 ◽  
Author(s):  
A. Wirowski ◽  
B. Michalak ◽  
M. Gajdzicki
Keyword(s):  
Mathematical Model ◽  
Dynamic Behaviour ◽  
Effective Properties ◽  
Plate Thickness ◽  
Dynamic Modelling ◽  
Composite Plates ◽  
Free Vibrations ◽  
Functionally Graded ◽  
Annular Plates ◽  
Heterogeneous Foundation

AbstractThe contribution is devoted to formulate an averaged mathematical model describing the dynamic behaviour of the composite annular plates resting on elastic heterogeneous foundation with two foundation modules. The plates are made of two-phased, functionally graded — type composites. In contrast to most of the papers in which material properties vary through the plate thickness, in the presented study we have dealt with the plate and foundation in which effective properties vary in a radial direction of the plate. The formulation of the macroscopic mathematical model for the analysis of the dynamic behaviour of these plates will be based on the tolerance averaging technique (Woźniak, Michalak, Jędrysiak, [ed]). This averaging method is an alternative to known asymptotic homogenization. The general results of the contribution will be illustrated by the analysis of free vibrations of the composite plates on heterogeneous foundation. The results obtained from the tolerance model were compared with the results obtained from FEM. There were compared the first four natural frequencies. A good consistency of the results from both methods was obtained.

Axisymmetric free vibrations of internally compressed moderately thick annular plates

1994 ◽  
Vol 53 (3) ◽  
pp. 759-765 ◽  
Author(s):  
S.Latha Nayar ◽  
K.Kanaka Raju ◽  
G.Venkateswara Rao
Keyword(s):  
Free Vibrations ◽  
Annular Plates
Sign in / Sign up

Export Citation Format

Share Document