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TECHNICAL PAPERS

A Thick-Beam Library Solution Method for Vibration-Based Characterization of Thick Composite Plates

[+] Author and Article Information
Z. Zheng, E. O. Ayorinde, R. F. Gibson

Advanced Composites Research Laboratory, Department of Mechanical Engineering, Wayne State University, Detroit, MI 48201

J. Vib. Acoust 123(1), 76-83 (Mar 01, 2000) (8 pages) doi:10.1115/1.1286216 History: Received March 01, 1999; Revised March 01, 2000
Copyright © 2001 by ASME
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References

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Ayorinde,  E. O., and Gibson,  R. F., 1993, “Elastic Constants of Orthotropic Composite Materials Using Plate Resonance Frequencies, Classical Lamination Theory and an Optimized Three-mode Rayleigh Formulation,” Composites Eng., 3, No. 5, pp. 395–407.
Ayorinde,  E. O., and Gibson,  R. F., 1995, “Improved Method for In-Situ Elastic Constants of Isotropic and Orthotropic Materials Using Plate Modal Data with Trimodal and Hexamodal Rayleigh Formulations,” Trans. ASME, J. Vib. Acoust., 117, pp. 180–186.
Ayorinde,  E. O., 1995, “Elastic Constants of Thick Orthotropic Composite Plates,” J. Compos. Mater., 28, No. 8, pp. 1025–1039.
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Ayorinde,  E. O., and Yu,  L., 1999, “On the Use of Diagonal Modes in the Elastic Identification of Thin Plates,” Trans. ASME, J. Vib. Acoust., 121, pp. 33–40.
American Society for Testing and Materials, 1987, ASTM Standards and Literature References for Composite Materials, ASTM, Philadelphia, PA.
Mindlin,  R. D., 1951, “Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates,” J. Appl. Mech. 18, pp. 31–38.
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Figures

Grahic Jump Location
Block diagram of modal analysis equipment
Grahic Jump Location
Flow chart of the Powell Optimization Method
Grahic Jump Location
(a) Modal frequencies of aluminum plate with thickness ratio 0.075 by different methods. (b) Modal frequencies of aluminum plate with thickness ratio 0.100 by different methods. (c) Modal frequencies of aluminum plate with thickness ratio 0.125 by different methods.
Grahic Jump Location
(a) Modal frequencies of graphite/epoxy plate with thickness ratio 0.075 by different methods. (b) Modal frequencies of graphite/epoxy plate with thickness ratio 0.100 by different methods. (c) Modal frequencies of graphite/epoxy plate with thickness ratio 0.125 by different methods.
Grahic Jump Location
Time of forward program on IBM 486 with and without beam solution library (aluminum plate)
Grahic Jump Location
Time of forward program on IBM 486 with and without beam solution library (graphite/epoxy plate)

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