A numerical method based on the Rayleigh-Ritz method has been presented for the forced vibration of open cylindrical shells. The equations are derived from the three-dimensional strain-displacement relations in the cylindrical coordinate system. The middle surface of the shell represents the geometry, which is defined by an angle that subtends the curved edges, the length, and the thickness. The displacement fields are generated with a predefined set of grid points on the middle surface using considerably high-order polynomials. Each grid point has five degrees of freedom, viz., three translational components along the cylindrical coordinates and two rotational components of the normal to the middle surface. Then the strain and kinetic energy expressions are obtained in terms of these displacement fields. The differential equation governing the vibration characteristics of the shell is expressed in terms of the mass, stiffness, and the load consistent with the prescribed displacement fields. The transient response of the shell with and without damping is sought by transforming the equation of motion to the state-space model and then the state-space differential equations are solved using the Runge-Kutta algorithm.
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e-mail: avsingh@eng.uwo.ca
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June 2006
Technical Papers
Transient Vibration Analysis of Open Circular Cylindrical Shells
Selvakumar Kandasamy,
Selvakumar Kandasamy
Department of Mechanical and Materials Engineering,
The University of Western Ontario
, London, Ontario, N6A 5B9, Canada
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Anand V. Singh
Anand V. Singh
Department of Mechanical and Materials Engineering,
e-mail: avsingh@eng.uwo.ca
The University of Western Ontario
, London, Ontario, N6A 5B9, Canada
Search for other works by this author on:
Selvakumar Kandasamy
Department of Mechanical and Materials Engineering,
The University of Western Ontario
, London, Ontario, N6A 5B9, Canada
Anand V. Singh
Department of Mechanical and Materials Engineering,
The University of Western Ontario
, London, Ontario, N6A 5B9, Canadae-mail: avsingh@eng.uwo.ca
J. Vib. Acoust. Jun 2006, 128(3): 366-374 (9 pages)
Published Online: November 28, 2005
Article history
Received:
April 26, 2005
Revised:
November 28, 2005
Citation
Kandasamy, S., and Singh, A. V. (November 28, 2005). "Transient Vibration Analysis of Open Circular Cylindrical Shells." ASME. J. Vib. Acoust. June 2006; 128(3): 366–374. https://doi.org/10.1115/1.2172264
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