Free vibration analysis of circular cylindrical shells |
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| Affiliation: | 2. Assistant Professor of Civil Engineering, Auburn University, Auburn, AL 36849, U.S.A.;3. Department of Civil Engineering, Lehigh University, Bethlehem, PA 18015, U.S.A.;4. Department of Mechanics and Mechanical Engineering, Lehigh University, Bethlehem, PA 18015, U.S.A.;1. School of Mechanics and Materials, Hohai University, Nanjing 210098, PR China;2. Department of Civil and Environmental Engineering, Washington State University, Pullman, WA 99164-2910, USA;3. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China;1. Diagnostics and Vibro-Acoustic Science Laboratory, Wroclaw University of Science and Technology, Na Grobli 15, 50-421 Wroclaw, Poland;2. KGHM Cuprum Ltd, Research and Development Centre, Sikorskiego 2-8, 53-659 Wroclaw, Poland;1. Instituto de Física, Universidad Nacional Autónoma de México, P.O. Box 20-364, 01000 México, D.F., Mexico;2. Instituto de Física, Benemérita Universidad Autónoma de Puebla, P.O. Box J-48, 72570 Puebla, Pue., Mexico;3. Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, P.O. Box 48-3, 62251 Cuernavaca, Mor., Mexico |
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| Abstract: | Determination of the vibrational characteristics of circular cylindrical shells often requires significant computational effort. This paper presents the results of a comprehensive, computer based, numerical investigation of the free vibration of circular cylindrical shells. An analytical procedure which accurately predicts the natural frequencies and radial mode shapes (corresponding to axial wave number and circumferential wave number both equal to one) for a wide range of circular cylindrical shells is developed. The procedure is applicable to shells either with or without a top closure. Several numerical examples are presented which illustrate application of the procedure and verify its accuracy. |
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