Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Vibrations of twisted beams

Authors: R. C. Di Prima and G. H. Handelman
Journal: Quart. Appl. Math. 12 (1954), 241-259
MSC: Primary 73.2X
DOI: https://doi.org/10.1090/qam/64619
MathSciNet review: 64619
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  • [1] W. Prager, Theory of structures, Brown University mimeographed notes, 1944.
  • [2] S. Timoshenko, Vibration problems in engineering, D. Van Nostrand Company, Inc., New York, 1937, p. 341.
  • [3] J. L. Synge and B. A. Griffith, Principles of Mechanics, McGraw-Hill Book Company, Inc., New York, 1942. MR 0005817
  • [4] H. Lo, A non-linear problem in the bending vibration of a rotating beam, Journal of Applied Mechanics, American Society of Mechanical Engineers, 19, 461-465, (1952).
  • [5] H. Lo and J. Renbarger, Bending vibrations of a rotating beam, First U. S. National Congress of Applied Mechanics, American Society of Mechanical Engineers, 1952, p. 75.
  • [6] S. Timoshenko, ibid, p. 344.
  • [7] D. Rossard, Natural frequencies of twisted cantilevered beams, Journal of Applied Mechanics, Preprint, 52-A15.
  • [8] A. Mendelson and S. Gendler, Analytical and experimental investigations of effect of twist on vibrations of cantilevered beams, NACA TN 2300, March 1951.

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DOI: https://doi.org/10.1090/qam/64619
Article copyright: © Copyright 1954 American Mathematical Society

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