In-Plane Free Vibration of Symmetric Cross-Ply Laminated Circular Bars
Publication: Journal of Engineering Mechanics
Volume 125, Issue 6
Abstract
A parametric study is performed to investigate influences of the opening angles, the slenderness ratios, the material types, the boundary conditions, and the thickness-to-width ratios of the cross section on the in-plane natural frequencies of symmetric cross-ply laminated circular composite beams. Governing equations are obtained based on the classical beam theory. The transfer matrix method is successfully applied to calculate exact natural frequencies with the help of an effective numerical algorithm, which was previously used for isotropic materials. The effects of the shear deformation, the axial deformation, and the rotary inertia are included in the formulation based on the first-order shear deformation theory. The physical system is considered as a continuous system. To verify the present theory, two examples are worked out for straight beams. A quite good agreement is observed with the reported results.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 125 • Issue 6 • June 1999
Pages: 630 - 636
History
Received: Jun 1, 1998
Published online: Jun 1, 1999
Published in print: Jun 1999
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