Bending vibrations of a class of rotating beams with hypergeometric solutions

Journal of Applied Mechanics, Transactions ASME

Volumn 54, Issue 2, 1987, Pages 311-314

  Storti, D ^a   Aboelnaga, Y ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; TURBOMACHINERY - BLADES;

BENDING VIBRATIONS; HYPERGEOMETRIC FUNCTIONS; ROTATING BEAMS;

BEAMS AND GIRDERS;

EID: 0023363015     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3173013     Document Type: Article

References (10)

1. Aboelnaga, Y. S., 1982, “Bending Vibrations of a Cantilever Beam on a Rotating Disc,” M.S. Thesis, New Jersey Institute of Technology, Newark, N.J.
2. Abramowitz, M., and Stegun, I., 1965, Handbook of Mathematical Functions, Dover, New York pp. 556-566.
3. Cranch, E. T., and Adler, A. A., 1955, “Bending Vibrations of Variable Section Beams,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 78, pp. 103-108.
4. Gere, J. M., and Lin, Y. K., 1958, “Coupled Vibrations of Thin-Walled Beams of Open Cross Section,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 80, pp. 373-378.
5. Krenk, S., 1983, “A Linear Theory for Pretwisted Elastic Beams,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 50, pp. 137-142.
6. Lo, H., Goldberg, J. E., and Bogdanoff, J. L., 1960, “Effect of Small Hub-Radius Change on Bending Frequencies of a Rotating Beam,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 82, pp. 548-551.
7. Schilhansl, M. J., 1958, “Bending Frequencies of a Rotating Cantilevered Beam,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 80, pp. 28-20.
8. Storti, D. W., and Aboelnaga, Y. S., 1986, “Beam Shapes which Allow Factorization of the Rotating Beam Equation,” Applied Mathematics Technical Report 86-6, University of Washington, Seattle.
9. Wang, H. C, 1967, “Generalized Hypergeometric Function Solutions on the Transverse Vibration of a Class of Nonuniform Beams,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 89, pp. 702-708.
10. Wylie, C. R., and Barrett, L. C, 1982, Advanced Engineering Mathematics, McGraw-Hill, N.Y.