The natural frequencies and mode shapes of thin-walled beams constructed of walls, or panels, of advanced composite materials depend upon both the geometry of the cross-section and the mechanical properties of the materials used in the panels. A shear deformation beam theory having the form of a Timoshenko beam theory is used to investigate the influence of these design variables. It is found that the maximum stiffness of a particular beam configuration is obtained when the contributions from the bending and shearing modes of deformation are optimized. Results show the influence of shear deformation even in the fundamental mode of vibration. Simply-supported, cantilever and free-free beams of various cross-sectional shapes and materials are analyzed.

Issue Section:
Vibration and Sound
Topics:
Composite materials, Design, Free vibrations, Shear deformation, Advanced materials, Cantilevers, Deformation, Die cutting, Euler-Bernoulli beam theory, Geometry, Mechanical properties, Mode shapes, Shapes, Shearing (Deformation), Stiffness, Timoshenko beam theory, Vibration
This content is only available via PDF.
Copyright © 1989
 by ASME
You do not currently have access to this content.