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

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.

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.

Wave propagation in circular cylindrical shells with periodic axial curvature

Wave Motion ◽  
1996 ◽  
Vol 23 (4) ◽  
pp. 339-352 ◽  
Author(s):  
Anindya Ghoshal ◽  
Michael L. Accorsi ◽  
Mark S. Bennett
Keyword(s):  
Wave Propagation ◽  
Cylindrical Shells ◽  
Axial Curvature ◽  
Circular Cylindrical Shells
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