Comments on “Free vibrations of circular cylindrical shells”

1977 ◽  
Vol 50 (4) ◽  
pp. 599-600 ◽  
Author(s):  
G.B. Warburton
Keyword(s):  
Cylindrical Shells ◽  
Free Vibrations ◽  
Circular Cylindrical Shells

scholarly journals Vibration of rotating circular cylindrical shells with distributed springs

2021 ◽  
Vol 37 ◽  
pp. 346-358
Author(s):  
Fuchun Yang ◽  
Xiaofeng Jiang ◽  
Fuxin Du
Keyword(s):  
Boundary Conditions ◽  
Galerkin Method ◽  
Shell Theory ◽  
Rotation Speed ◽  
Cylindrical Shells ◽  
Free Vibrations ◽  
Governing Equations ◽  
Natural Response ◽  
Circular Cylindrical Shells ◽  
The Galerkin Method

Abstract Free vibrations of rotating cylindrical shells with distributed springs were studied. Based on the Flügge shell theory, the governing equations of rotating cylindrical shells with distributed springs were derived under typical boundary conditions. Multicomponent modal functions were used to satisfy the distributed springs around the circumference. The natural responses were analyzed using the Galerkin method. The effects of parameters, rotation speed, stiffness, and ratios of thickness/radius and length/radius, on natural response were also examined.

A Theoretical and Experimental Study of Vibrations of Thick Circular Cylindrical Shells and Rings

1988 ◽  
Vol 110 (4) ◽  
pp. 533-537 ◽  
Author(s):  
R. K. Singal ◽  
K. Williams
Keyword(s):  
Cylindrical Shells ◽  
Three Dimensional ◽  
Free Vibrations ◽  
Theory Of Elasticity ◽  
Frequency Equation ◽  
Experimental Investigations ◽  
Resonant Frequencies ◽  
Modes Of Vibration ◽  
Circular Cylindrical Shells ◽  
Experimental Values

The free vibrations of thick circular cylindrical shells and rings are discussed in this paper. The well-known energy method, which is based on the three-dimensional theory of elasticity, is used in the derivation of the frequency equation of the shell. The frequency equation yields resonant frequencies for all the circumferential modes of vibration, including the breathing and beam-type modes. Experimental investigations were carried out on several models in order to assess the validity of the analysis. This paper first describes briefly the method of analysis. In the end, the calculated frequencies are compared with the experimental values. A very close agreement between the theoretical and experimental values of the resonant frequencies for all the models was obtained and this validates the method of analysis.

Wave propagation in and free vibrations of gradient elastic circular cylindrical shells

2012 ◽  
Vol 223 (8) ◽  
pp. 1789-1807 ◽  
Author(s):  
S. Papargyri-Beskou ◽  
S. V. Tsinopoulos ◽  
D. E. Beskos
Keyword(s):  
Wave Propagation ◽  
Cylindrical Shells ◽  
Free Vibrations ◽  
Circular Cylindrical Shells

Free vibration analysis of rotating fiber–metal laminate circular cylindrical shells

2017 ◽  
Vol 21 (3) ◽  
pp. 1009-1031 ◽  
Author(s):  
Ahmad Reza Ghasemi ◽  
Masood Mohandes
Keyword(s):  
Free Vibration ◽  
Cylindrical Shells ◽  
Free Vibration Analysis ◽  
Free Vibrations ◽  
Laminate Shell ◽  
Rotating Speed ◽  
Fiber Metal Laminate ◽  
Thin Aluminum ◽  
Circular Cylindrical Shells ◽  
Fiber Metal

In this article, free vibration of rotating fiber–metal laminate thin circular cylindrical shells has been analyzed. Strain–displacement relations have been obtained based on Love’s first approximation shell theory. The variations of frequencies of the fiber–metal laminate cylindrical shell with rotational speeds for different axial and circumferential wave numbers, L/R ratios, metal thicknesses and volume fractions of metal have been presented. Also, free vibrations of the rotating fiber–metal laminate shell have been studied for carbon/epoxy, glass/epoxy and aramid/epoxy composite materials combining thin aluminum layers. The results showed that with increasing rotating speed, the gap between backward and forward waves frequencies increased.

scholarly journals Dynamic stiffness method for free vibrations analysis of partial fluid-filled orthotropic circular cylindrical shells

2015 ◽  
Vol 37 (1) ◽  
pp. 43-56
Author(s):  
Tran Ich Thinh ◽  
Nguyen Manh Cuong ◽  
Vu Quoc Hien
Keyword(s):  
Natural Frequencies ◽  
Dynamic Stiffness ◽  
Cylindrical Shells ◽  
Computational Cost ◽  
Shear Deformation Theory ◽  
Free Vibrations ◽  
Various Boundary Conditions ◽  
Stiffness Method ◽  
Dynamic Stiffness Method ◽  
Circular Cylindrical Shells

Free vibrations of partial fluid-filled orthotropic circular cylindrical shells are investigated using the Dynamic Stiffness Method (DSM) or Continuous Element Method (CEM) based on theFirst Order Shear Deformation Theory (FSDT) and non-viscous incompressible fluid equations. Numerical examples are given for analyzing natural frequencies and harmonic responses of cylindrical shells partially and completely filled with fluid under various boundary conditions. The vibration frequencies for different filling ratios of cylindrical shells are obtained and compared with existing experimental and theoretical results which indicate that the fluid filling can reduce significantly the natural frequencies of studiedcylindrical shells. Detailed parametric analysis is carried out to show the effects of some geometrical and material parameters on the natural frequencies of orthotropic cylindrical shells. The advantages of this current solution consist in fast convergence, low computational cost and high precision validating for all frequency ranges.

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