Research Article
Jun 1979
Vibrations of Annular Plates of Variable Thickness
Publication: Journal of the Engineering Mechanics Division
Volume 105, Issue 3
Abstract
An exact solution for the circular frequencies of a polar orthotropic annular plate of uniform and parabolic thickness under the action of in-plane forces is presented. The annular plate is reinforced with simply supported edge beams at both the inner and outer boundaries. The edge beams are subjected to uniform, radial compressive loadings. Frequency parameters are determined for both axisymmetric and higher modes and are found to be functions of the in-plane loads, plate dimensions and rigidities, edge beam stiffness and moment of inertia parameters, and the profile of the plate. The use of edge beams in this investigation provides a practical method of simulating various types of edge conditions for the polar orthotropic annular plate— including the limiting cases of the simply supported and clamped edge.
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Published In
Journal of the Engineering Mechanics Division
Volume 105 • Issue 3 • June 1979
Pages: 361 - 370
Copyright
© 1979 American Society of Civil Engineers.
History
Published in print: Jun 1979
Published online: Feb 3, 2021
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Authors
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Carl T. Dyka
Research Engr., Uniroyal, Inc., Middlebury, Conn.; formerly, Grad. Student, Univ. of Connecticut, Storrs, Conn.
John F. Carney III, M.ASCE
Prof. of Civ. Engrg., Univ. of Connecticut, Storrs, Conn.
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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.