Frequency constants for transverse vibration of annular disks

Journal of the Acoustical Society of America

Volumn 105, Issue 6, 1999, Pages 3311-3317

  Gabrielson, Thomas B ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; CALCULATION; CLAMP; COMPUTER PROGRAM; DENSITY; FREQUENCY ANALYSIS; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; REVIEW; VIBRATION; YOUNG MODULUS;

EID: 0033041753     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.424659     Document Type: Review

References (18)

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3. R. V. Southwell, "On the free transverse vibrations of a uniform circular disk clamped at its center; and on the effects of rotation," Proc. R. Soc. London, Ser. A 101, 133-153 (1922).
4. H. Lamb and R. V. Southwell, "The vibrations of a spinning disk," Proc. R. Soc. London, Ser. A 99, 272-280 (1921).
5. A. Leissa, Vibration of Plates, NASA SP-160, U. S. Government Printing Office, 1969; reprinted by the Acoustical Society of America, NY, 1993.
6. O. G. McGee, C. S. Huang, and A. W. Leissa, "Comprehensive exact solutions for free vibrations of thick annular sectorial plates with simply supported radial edges," Int. J. Mech. Sci. 37, 537-566 (1995).
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9. 2)*y = 0." Proc. R. Soc. London 64, 203-223 (1899).
10. E. T. Whittaker and G. N. Watson, A Course of Modem Analysis, 4th ed. (Cambridge University Press, Cambridge, 1963), Sec. 17.71.
11. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972), Chap. 9.
12. A. J. M. Hitchcock, "Polynomial approximations to Bessel functions of order zero and one and to related functions," in Mathematical Tables and Other Aids to Computation, Vol. 11 (National Research Council, 1957). pp. 86-88.
13. F. S. Acton, Real Computing Made Real (Princeton University Press, Princeton, 1996).
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15. MathSoft, Inc., Cambridge, MA. Specific mention of any commercial product should not be construed to be an endorsement or recommendation of that product by The Pennsylvania State University.
16. Wolfram Research, Inc., Champaign, IL.
17. W. C. Young, Roark's Formulas for Stress and Strain, 6th ed. (McGraw-Hill, New York, 1989), Table 36.
18. B. Singh and S. Chakraverty, "Transverse vibration of annular circular and elliptic plates using the characteristic orthogonal polynomials in two dimensions," J. Sound Vib. 162, 537-546 (1993).