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Free and forced vibration of cross-ply laminated composite shallow arches
Date
1997-04-01
Author
Khdeir, AA
Reddy, JN
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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A model for the dynamic behavior of a laminated composite shallow arch is developed from shallow shell theory. Linear equations of motion are derived for thin, moderately thick and thick arches. Free vibration of the arch is explored and exact natural frequencies of the third-order, second-order, first-order and classical arch theories are determined for various boundary conditions. A generalized modal approach is presented to solve the dynamic response of cross-ply laminated arches with arbitrary boundary conditions and for arbitrary loadings. The Poisson effect and rotary inertia are incorporated in the formulation of the arch constitutive equation, in the analytical approaches and in the numerical results. (C) 1997 Elsevier Science Ltd.
Subject Keywords
Arbitrary boundary-conditions
,
Shells
,
Rotary İnertia
,
İnplane vibration
,
Extensional Vibrations
,
Dynamic-Response
,
Shear deformation
,
Circular curved beams
URI
https://hdl.handle.net/11511/64429
Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
DOI
https://doi.org/10.1016/s0020-7683(96)00095-9
Collections
Department of Mechanical Engineering, Article