Free and forced vibration of cross-ply laminated composite shallow arches

Date

1997-04-01

Author

Khdeir, AA
Reddy, JN

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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

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Citation Formats

A. Khdeir and J. Reddy, “Free and forced vibration of cross-ply laminated composite shallow arches,” INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, pp. 1217–1234, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64429.