Analysis of Asymmetric Nonviscously Damped Linear Dynamic Systems

[+] Author and Article Information
S. Adhikari

Department of Aerospace Engineering, University of Bristol, Queen’s Building, University Walk, Bristol BS8 1TR, UK

N. Wagner

Institut A für Mechanik, University of Stuttgart

J. Appl. Mech 70(6), 885-893 (Jan 05, 2004) (9 pages) doi:10.1115/1.1601251 History: Received November 20, 2001; Revised February 20, 2003; Online January 05, 2004
Copyright © 2003 by ASME
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Biot, M. A., 1958, “Linear Thermodynamics and the Mechanics of Solids,” Proceedings of the Third U.S. National Congress on Applied Mechanics, ASME, New York.
Woodhouse,  J., 1998, “Linear Damping Models for Structural Vibration,” J. Sound Vib., 215, pp. 547–569.
Adhikari,  S., 2002, “Dynamics of Non-Viscously Damped Linear Systems,” J. Eng. Mech., 128, pp. 328–339.
Cremer, L., and Heckl, M., 1973, Structure-Borne Sound, second edition, Springer-Verlag, Berlin, Germany, translated by E. E. Ungar.
Muravyov,  A., 1997, “Analytical Solutions in the Time Domain for Vibration Problems of Discrete Viscoelastic Systems,” J. Sound Vib., 199, pp. 337–348.
Muravyov,  A., 1998, “Forced Vibration Responses of a Viscoelastic Structure,” J. Sound Vib., 218, pp. 892–907.
Muravyov,  A., and Hutton,  S. G., 1997, “Closed-Form Solutions and the Eigenvalue Problem for Vibration of Discrete Viscoelastic Systems,” ASME J. Appl. Mech., 64, pp. 684–691.
Muravyov,  A., and Hutton,  S. G., 1998, “Free Vibration Response Characteristics of a Simple Elasto-Hereditary System,” ASME J. Vibr. Acoust., 120, pp. 628–632.
Wagner, N., and Adhikari, S., 2003, “Symmetric State-Space Formulation for a Class of Non-Viscously Damped Systems” Vol. 41, No. 5, pp. 951–956.
Inman,  D. J., 1983, “Dynamics of Asymmetric Non-Conservative Systems,” ASME J. Appl. Mech., 50, pp. 199–203.
Adhikari,  S., 2000, “On Symmetrizable Systems of Second Kind,” ASME J. Appl. Mech., 67, pp. 797–802.
Adhikari,  S., 2001, “Classical Normal Modes in Non-Viscously Damped Linear Systems,” AIAA J., 39, pp. 978–980.
Bagley,  R. L., and Torvik,  P. J., 1983, “Fractional Calculus—A Different Approach to the Analysis of Viscoelastically Damped Structures,” AIAA J., 21, pp. 741–748.
Golla,  D. F., and Hughes,  P. C., 1985, “Dynamics of Viscoelastic Structures—A Time Domain Finite Element Formulation,” ASME J. Appl. Mech., 52, pp. 897–906.
McTavish,  D. J., and Hughes,  P. C., 1993, “Modeling of Linear Viscoelastic Space Structures,” ASME J. Vibr. Acoust., 115, pp. 103–110.
Wagner,  N., 2001, “Ein Direktes Verfahren zur Numerischen Lösung von Schwingungssystemen mit Nachlassendem Gedächtnis,” Z. Angew. Math. Mech., 81, pp. S 327–328.
Adhikari,  S., 2001, “Eigenrelations for Non-Viscously Damped Systems,” AIAA J., 39, pp. 1624–1630.
Bishop,  R. E. D., and Price,  W. G., 1979, “An Investigation into the Linear Theory of Ship Response to Waves,” J. Sound Vib., 62(3), pp. 353–363.
Newland,  D. E., 1987, “On the Modal Analysis of Nonconservative Linear Systems,” J. Sound Vib., 112, pp. 69–96.
Newland, D. E., 1989, Mechanical Vibration Analysis and Computation, Longman, Harlow and John Wiley, New York.
Adhikari,  S., 1999, “Modal analysis of linear asymmetric non-conservative systems,” J. Eng. Mech., 125(12), pp. 1372–1379.




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