On the Vibrations of a Laminated Body

[+] Author and Article Information
J. D. Achenbach, C. T. Sun, G. Herrmann

Department of Civil Engineering, The Technological Institute, Northwestern University, Evanston, Ill.

J. Appl. Mech 35(4), 689-696 (Dec 01, 1968) (8 pages) doi:10.1115/1.3601293 History: Received February 23, 1968; Revised June 10, 1968; Online September 14, 2011


A continuum theory for a laminated medium is further developed in this paper. Constitutive equations, stress equations of motion, and natural boundary conditions are presented, and sufficient conditions for a unique solution are discussed. The governing equations and boundary conditions are employed to study the thickness-twist motion of a laminated layer. For every nodal number there is a low frequency acoustic mode and a high frequency optical mode. The frequencies of the acoustic modes are compared with the corresponding frequencies predicted by the effective modulus theory, and the relative magnitudes of the material parameters for which these frequencies are substantially at variance are indicated.

Copyright © 1968 by ASME
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