Research Article
Feb 1971
Free Vibration Characteristics of Shell Roofs
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VIEW THE REPLYAuthors: Anand S. Arya, M.ASCE, and Shashi K. ThakkarAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 97, Issue 1
Abstract
The equation of motion of cylindrical shells is written using Donnell-Karman-Jenkins (DKJ) theory; and a Levy-type solution is used for computing their natural frequencies and model shapes. The method is applicable to shells simply supported on rigid traverses on the curved edges which have arbitrary support conditions along the longitudinal edges. Five cases of characteristic roots arise depending on the value of the natural frequency. Complete expressions for forces and displacements are presented for all the cases. The method has been used to compute the natural frequencies of a shell simply supported on all edges. Values are obtained that are identical with those obtained by the Navier type solution. A shell with edge beams has been analyzed. Its frequencies observed on a reinforced concrete shell roof model have been compared with theoretical values and found to agree closely.
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Published In
Journal of the Engineering Mechanics Division
Volume 97 • Issue 1 • February 1971
Pages: 109 - 126
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: Feb 1971
Published online: Feb 3, 2021
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Anand S. Arya, M.ASCE
Prof. and Asst. Dir., School of Research and Training In Earthquake Engrg., Univ. of Roorkee, Roorkee India
Shashi K. Thakkar
Lecturer In structurai Dynamics, School of Research and Training in Earthquake Engrg., Univ. of Roorkee, Roorkee, India
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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.