Nonsymmetric Vibrations of Thin Cylindrical Shells

by Chi-Wen Lin, (A.M.ASCE), Sr. Engr.; Westinghouse Nuclear Energy Systems Div., Pittsburgh, PA; formerly, Res. Engr., Gilbert Assoc., Inc., Reading, PA,

Serial Information: Journal of the Structural Division, 1970, Vol. 96, Issue 10, Pg. 2175-2187

Document Type: Journal Paper

Discussion: Abu-Sitta Salman H. (See full record)
Discussion: Seide Paul (See full record)
Discussion: Warburton Geoffrey B. (See full record)
Closure: (See full record)

Abstract: Nonsymmetric vibrations of thin cylindrical shells have been studied using Flügge's theory. Both fixed-fixed and clamped-clamped boundary conditions are included in the study. When displacements are assumed to have the same form as those of a corresponding simply supported shell with harmonic axial forces or moments, or both, applied along both edges, two separate characteristic frequency equations, depending upon whether an even or odd number of axial modes exist, can be obtained by satisfying the necessary boundary conditions. Natural frequencies may then be searched for within the magnitudes of two consecutive frequencies of even or odd axial wave modes of the corresponding simply supported cylinder. Numerical results obtained are in good agreement with the existing experiments. This analysis shows that the present method of approach can easily be extended to analyze nonsymmetric vibrations of cylindrical shells with different type of edge conditions.

Subject Headings: Vibration | Cylindrical shells | Boundary conditions | Frequency response | Displacement (mechanics) | Professional societies | Axial forces |

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