On the Orthogonality Condition of Axisymmetric Vibration Modes for Shells of Revolution

1965 ◽  
Vol 32 (2) ◽  
pp. 447-448 ◽  
Author(s):  
F. K. Bogner ◽  
R. R. Archer
Keyword(s):  
Orthogonality Condition ◽  
Axisymmetric Vibration ◽  
Vibration Modes ◽  
Shells Of Revolution

Torsional Vibrations of Shells of Revolution

1961 ◽  
Vol 28 (4) ◽  
pp. 571-573 ◽  
Author(s):  
H. Garnet ◽  
M. A. Goldberg ◽  
V. L. Salerno
Keyword(s):  
Differential Equation ◽  
Governing Equation ◽  
Torsional Vibration ◽  
Conical Shell ◽  
Order Differential Equation ◽  
Annular Plate ◽  
Thin Shells ◽  
Torsional Vibrations ◽  
Vibration Modes ◽  
Shells Of Revolution

Torsional-vibration modes are uncoupled from the bending and extensional modes in thin shells of revolution. The solution for the uncoupled torsional modes then depends upon a linear second-order differential equation. The governing equation is subsequently solved for the frequencies of a conical shell. A tabulation of the first five frequencies for varying ratios of the terminal radii is presented. These frequencies are identical to those of an annular plate which has the same supports as the conical shell.

An Ultrasonic Motor Using Non-Axisymmetric Vibration Modes of a Piezo-Ceramic Annular Plate

1989 ◽  
Vol 28 (S1) ◽  
pp. 161 ◽  
Author(s):  
Yoshiro Tomikawa ◽  
Takehiro Takanon ◽  
Hiroshi Hirata ◽  
Toshiharu Ogasawara
Keyword(s):  
Annular Plate ◽  
Ultrasonic Motor ◽  
Axisymmetric Vibration ◽  
Vibration Modes

scholarly journals Liquid Induced Vibrations of Truncated Elastic Conical Shells with Elastic and Rigid Bottoms

2018 ◽  
Vol 7 (2.23) ◽  
pp. 335
Author(s):  
Yury V. Naumenko ◽  
Vasyl I. Gnitko ◽  
Elena A. Strelnikova
Keyword(s):  
Fluid Pressure ◽  
Boundary Element Methods ◽  
Vibration Modes ◽  
Shells Of Revolution ◽  
Elastic Shells ◽  
Conical Shells ◽  
Natural Modes ◽  
Conical Tanks ◽  
Numerical Estimations ◽  
Elastic Walls

A method of estimating natural modes and frequencies of vibrations for elastic shells of revolution conveying a liquid is proposed. The vibration modes of the liquid-filled elastic shells are presented as linear combinations of their own vibration modes without liquid. The explicit expression for fluid pressure is defined using Bernoulli’s integral and potential theory suppositions. Non-penetration, kinematic, and dynamic boundary conditions are applied at the shell walls and on a free liquid surface, respectively. The solution of the hydro-elasticity problem is found out using an effective technique based on coupled finite and boundary element methods. Computational vibration analysis of elastic truncated conical shells with different fixation conditions is accomplished. Sloshing and elastic walls frequencies and modes of liquid-filled truncated conical tanks are estimated. Both rigid and elastic bottoms of shells are considered. Some examples of numerical estimations are provided to testify the efficiency of the developed method  

scholarly journals Active control of the axisymmetric vibration modes of a tom-tom drum

2019 ◽  
Author(s):  
Marc Wijnand ◽  
Brigitte d'Andrea-Novel ◽  
Benoit Fabre ◽  
Thomas Helie ◽  
Lionel Rosier ◽  
...  
Keyword(s):  
Active Control ◽  
Axisymmetric Vibration ◽  
Vibration Modes

An Ultrasonic Motor Using Non-Axisymmetric Vibration Modes of a Piezo-Ceramic Annular Plate

1989 ◽  
Vol 28 (S2) ◽  
pp. 202 ◽  
Author(s):  
Takehiro Takano ◽  
Yoshiro Tomikawa ◽  
Toshiharu Ogasawara ◽  
Hiroshi Hirata
Keyword(s):  
Annular Plate ◽  
Ultrasonic Motor ◽  
Axisymmetric Vibration ◽  
Vibration Modes
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