Research Article
Dec 1970
Eigenvalue Analysis of Structures by Folding Force
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VIEW THE REPLYAuthors: Itio Hirai, M.ASCE, and Torazo YoshimuraAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 96, Issue 6
Abstract
An analytical method for obtaining Eigenvalues of structures with hinges is proposed. The method uses a new external force called the folding force which is a pair of equal and opposite moment loads, and derives the fundamental equation in such a way that hinges are built into a temporary continuous system in which the hinges are neglected. This method will be applied conveniently to some structures, provided that the static response, natural frequencies, natural modes, and the bending moments for the deformation of the modes of the temporary continuous system are obtained easily. Two examples are shown to verify the proposed approach.
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Published In
Journal of the Engineering Mechanics Division
Volume 96 • Issue 6 • December 1970
Pages: 1081 - 1092
Copyright
© 1970 American Society of Civil Engineers.
History
Published in print: Dec 1970
Published online: Feb 3, 2021
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Itio Hirai, M.ASCE
Prof., Dept. of Appl. Mech., Fac. of Engrg., Kumamoto Univ., Kumamoto, Japan
Torazo Yoshimura
Professor, Dept. of Appl. Mech., Fac. of Engrg., Kumamoto Univ., Jumamoto, Japan
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