Comparison of fourier sine and cosine series expansions for beams with arbitrary boundary conditions

Journal of Sound and Vibration

Volumn 255, Issue 1, 2003, Pages 185-194

  Li, W L ^a  

^a Carrier Corporation   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; BOUNDARY CONDITIONS; CYLINDERS (SHAPES); POLYNOMIALS; VIBRATIONS (MECHANICAL);

COSINE SERIES EXPANSIONS; FOURIER SERIES METHODS;

FOURIER TRANSFORMS;

EID: 0037411939     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.4108     Document Type: Editorial

References (11)

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3. A. W. Leissa 1993 Vibration of Plates, 118-119. Acoustical Society of America.
4. W. K. Tso 1996 Journal of the American Institute of Aeronautics and Astronautics 4, 733-735. On the fundamental frequency of a four point-supported square elastic plate.
5. D. Zhou 1995 Computers and Structures 57, 731-735. Natural frequencies of elastically restrained rectangular plates using a set of static beam functions in the Rayleigh-Ritz method.
6. C. P. Filipich and M. B. Rosales 2000 Journal of Sound and Vibration 230, 521-539. Arbitrary precision frequencies of a free rectangular thin plate.
7. W. L. Li 2000 Journal of Sound and Vibration 237, 709-725. Free vibrations of beams with general boundary conditions.
8. G. P. Tolstov 1965 Fourier Series. Englewood Cliffs, NJ: Prentice-Hall.
9. W. L. Li 2001 Journal of Sound and Vibration 246, 751-756. Dynamic analysis of beams with arbitrary elastic supports at both ends.
10. R. D. Blevins 1979 Formulas for Natural Frequency and Mode Shape, Vol. 108. New York: Van Nostrand Reinhold Company.
11. C. Kameswara Rao and S. Mirza 1989 Journal of Sound and Vibration 130, 453-465. A note on vibration of generally restrained beams.