Analytical Solutions to Vibration of Generally Layered Composite Beams
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.
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 http://dx.doi.org/10.1016/0022-460X(92)90452-4
Mechanical and Aerospace Engineering
Article - Journal
© 1992 Elsevier, All rights reserved.