Extensional vibrations of simply supported composite plate strips

✍ Scribed by C.R. Thomas

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 787 KB
• Volume: 31
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(73)80375-x

✦ Synopsis

The author has recently derived an "effective stiffness", velocity-corrected Sun plate theory for both flexural and extensional vibrations of laminated composite plates. The equations for extensional vibrations are reduced for the case of a plate strip and frequency equations are derived for simply restrained edges by the method of M. Levy, where solutions harmonic in plate width are assumed and the boundary conditions for simplerestraint are automatically satisfied. The results are compared to extensional frequencies for a reduced "effectivemodulus", velocity-corrected Sun plate theory and for a velocity-corrected and shear-correctedMindlinplate theorywith Postma elasticconstraints introduced. The striking differences apparent from a comparison of "effective stiffness" and "effective modulus" frequencies for flexural vibrations of plate strips do not materialize in the case of extensional vibrations.