Generalized Hydrodynamic Mass for Beam Mode Vibration of Cylinders Coupled by Fluid Gap

1977 ◽  
Vol 44 (1) ◽  
pp. 172-173 ◽  
Author(s):  
M. K. Au-Yang

The generalized hydrodynamic mass for the free vibration of two coaxial cylindrical shells coupled by a narrow fluid gap is derived by following a procedure similar to that mentioned in [1]; the end conditions of the shells are arbitrary. The equations are applied to evaluate the generalized hydrodynamic mass for the coupled beam mode vibration of two cylinders. Numerical examples that can be compared with experimental data are given for two specific cases. In both cases, agreement between computed and measured values is excellent. It is intended that the results of this study will be applied to the vibration analysis of nuclear reactor internal components.

2016 ◽  
Vol 2016 ◽  
pp. 1-18 ◽  
Author(s):  
Dong Tang ◽  
Guoxun Wu ◽  
Xiongliang Yao ◽  
Chuanlong Wang

An analytical procedure for free vibration analysis of circular cylindrical shells with arbitrary boundary conditions is developed with the employment of the method of reverberation-ray matrix. Based on the Flügge thin shell theory, the equations of motion are solved and exact solutions of the traveling wave form along the axial direction and the standing wave form along the circumferential direction are obtained. With such a unidirectional traveling wave form solution, the method of reverberation-ray matrix is introduced to derive a unified and compact form of equation for natural frequencies of circular cylindrical shells with arbitrary boundary conditions. The exact frequency parameters obtained in this paper are validated by comparing with those given by other researchers. The effects of the elastic restraints on the frequency parameters are examined in detail and some novel and useful conclusions are achieved.


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