Title

Analytical Solutions to Vibration of Generally Layered Composite Beams

Abstract

Dynamic equations governing the free vibration of laminated composite beams are developed using Hamilton's principle. The effects of transverse shear and rotary inertia are included in the energy formulation. Analytical solutions are obtained by the method of Lagrange multipliers wherein the free vibration problem is posed as a constrained variational problem, the constraints being imposed through Lagrange multipliers. Natural frequencies and mode shapes of clamped-clamped and clamped-supported composite beams are presented to demonstrate the efficiency of the methodology.

Department(s)

Mechanical and Aerospace Engineering

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1992 Elsevier, All rights reserved.

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