Analytical Solutions to Vibration of Generally Layered Composite Beams

Author

S. Krishnaswamy
K. Chandrashekhara, Missouri University of Science and TechnologyFollow
W. Z. B. Wu

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.

Recommended Citation

S. Krishnaswamy et al., "Analytical Solutions to Vibration of Generally Layered Composite Beams," Journal of Sound and Vibration, Elsevier, Jan 1992.

The definitive version is available at https://doi.org/10.1016/0022-460X(92)90452-4

Department(s)

Mechanical and Aerospace Engineering

International Standard Serial Number (ISSN)

0022-460X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1992 Elsevier, All rights reserved.

Publication Date

01 Jan 1992