Low-frequency free vibrations of viscoelastic cylindrical shells

1992 ◽  
Vol 28 (9) ◽  
pp. 586-590 ◽  
Author(s):  
G. I. Mikhasev
1974 ◽  
Vol 96 (2) ◽  
pp. 420-426 ◽  
Author(s):  
S. S. Chen ◽  
G. S. Rosenberg

This paper treats the free vibrations of cylindrical shells conveying fluid. The shell motion is described by the Flu¨gge’s equations, whereas the hydrodynamic forces are described by the linearized potential flow theory. Frequency spectra are presented for symmetric and asymmetric modes and the effects of flow velocity and other parameters are discussed. In the low-frequency range, a modified water-hammer theory and an approximate bending frequency equation including the effect of the flowing fluid are developed.


2021 ◽  
Vol 37 ◽  
pp. 346-358
Author(s):  
Fuchun Yang ◽  
Xiaofeng Jiang ◽  
Fuxin Du

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.


1997 ◽  
Vol 34 (16) ◽  
pp. 2025-2034 ◽  
Author(s):  
Hao-Jiang Ding ◽  
Wei-Qui Chen ◽  
Yi-Mu Guo ◽  
Qing-Da Yang

2008 ◽  
Vol 44 (9) ◽  
pp. 1006-1014 ◽  
Author(s):  
G. D. Gavrilenko ◽  
V. I. Matsner ◽  
O. A. Kutenkova

2017 ◽  
Vol 53 (6) ◽  
pp. 668-679 ◽  
Author(s):  
A. Ya. Grigorenko ◽  
T. L. Efimova ◽  
Yu. A. Korotkikh

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