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BRIEF NOTES

Comparison of the Two Formulations of w-u-v and w-F in Nonlinear Plate Analysis

[+] Author and Article Information
J. Lee

Air Force Research Laboratory (VASS), Wright-Patterson AFB, OH 45433 e-mail: Jon.lee@wpafb.af.mil

J. Appl. Mech 69(4), 547-552 (Jun 20, 2002) (6 pages) doi:10.1115/1.1458556 History: Received October 02, 2000; Revised November 18, 2001; Online June 20, 2002
Copyright © 2002 by ASME
Topics: Equations , Deflection
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References

Chu,  H.-N., and Herrmann,  G., 1956, “Influence of Large Amplitudes on Free Flexural Vibrations of Rectangular Elastic Plates,” ASME J. Appl. Mech., 23, pp. 532–540.
Chia, C.-Y., 1980, Nonlinear Analysis of Plates, McGraw-Hill, New York, Chapter 1.
Wolfram, S., 1999, The MATHEMATICA Book, 4th Ed., Wolfram Media, Wolfram Research, IL.
Lee, J., 1999, “Using Mathematica for the Galerkin Representation of Nonlinear Plate Equations,” Proc. 6th Pan Am. Cong. of Appl. Mech., Vol. 7, eds. P. B. Concalves, I. Jasiuk, D. Pamploma, C. Steele, H. I. Weber, L. Bevilacqua, Rio de Janeiro, pp. 821–824.
Geveci, B., 1999, “Flow Induced Nonlinear Vibrations of Rectangular Plates,” Ph.D. dissertation in Mechanical Engineering and Mechanics, Lehigh University, Dec 13. Lehigh, PA.
Bolotin, V. V., 1963, Nonconservative Problems of the Theory of Elastic Stability, MacMillan, New York.
Librescu, L., 1975, The Elastostatic and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures, Noorhoff, Lyden, Chapters 1–7.
Levy, S., 1942, “Bending of Rectangular Plates With Large Deflections,” NACA Report No. 737.
Dowell,  E. H., 1966, “Nonlinear Oscillations of a Fluttering Plate,” AIAA J., 4, pp. 1267–1275.
Lee,  J., 1986, “Free Vibration of a Large-Amplitude Deflected Plate—Reexamination by the Dynamical Systems Theory,” ASME J. Appl. Mech., 53, pp. 633–640.
Goldstein, H., 1980, Classical Mechanics, 2nd Ed., Addison-Wesley, Reading, MA, Chapter 8.

Figures

Grahic Jump Location
Approach to the energy-conserving cubic vector. -•- maximum positive deviation; --•-- maximum absolute negative deviation.

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