AN EXPLICIT METHOD FOR THE FREE VIBRATIONS OF NON-CIRCULAR CYLINDRICAL PANELS

Author: Koumousis V.K.

Source: Journal of Sound and Vibration, Volume 191, Number 5, April 1996 , pp. 681-694(14)

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Abstract:

A method is presented for the determination of the dynamic characteristics of non-circular cylindrical panels, based on Flugge or Donnell type theories. The panels are simply supported along the curved edges, while at the straight edges they are supported by any type of admissible boundary conditions. The components of displacement are expanded in Fourier series in the axial direction and power series in the circumferential direction. The solution is determined by employing a recursive scheme in conjuction with the method of successive approximations. This approach leads to a characteristic equation in which the non-dimensional frequency appears in explicit form. The method is applied to catenary cylindrical panels. Numerical results are presented which describe the variation of the non-dimensional frequencies with respect to the geometric parameters. A comparison with circular panels is presented for different types of boundary conditions.

Language: English

Document Type: Research article

Affiliations: Institute of Structural Analysis and Aseismic Research, National Technical University of Athens, 157 73 Athens, Zografou Campus, Greece

Publication date: 1996-04-01