Research Article
Aug 1972
Three-Dimensional Vibrations of Orthotropic Cylinders
Authors: Fang-Hui Chou, AM.ASCE, and Jan D. AchenbachAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 98, Issue 4
Abstract
A method to analyze the three-dimensional vibrations of orthotropic cylinders is presented. The field equations are in the form of three coupled, second-order differential equations with nine elastic constants. The vibration problem is solved by means of the Frobenius method, using power series expansion in the radial coordinate, and assuming sinusoidal dependence on the longitudinal and circumferential coordinates and on time. Frequency equation for the free vibration of solid circular cylinders is derived and a numerical example is given. An extensive study of the dynamic behavior of orthotropic cylinders can be made by this analysis.
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Published In
Journal of the Engineering Mechanics Division
Volume 98 • Issue 4 • August 1972
Pages: 813 - 822
Copyright
© 1972 American Society of Civil Engineers.
History
Published in print: Aug 1972
Published online: Feb 3, 2021
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Affiliations
Fang-Hui Chou, AM.ASCE
Assoc. Prof., Dept. of Civ. Engrg., San Diego State Coll., San Diego, Calif.
Jan D. Achenbach
Prof., Dept. of Civ. Engrg., Northwestern Univ., Evanston, Ill.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.