Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



On the non-linear vibration of elastic bars

Author: A. Cemal Eringen
Journal: Quart. Appl. Math. 9 (1952), 361-369
MSC: Primary 73.2X
DOI: https://doi.org/10.1090/qam/43694
MathSciNet review: 43694
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  • [1] S. Woinowsky-Krieger, The effect of an axial force on the vibrations of hinged bars. J. Appl. Mech. 17, 35-36 (1950). MR 0034202
  • [2] N. J. Hoff, The dynamics of the buckling of elastic columns. Paper presented at the 16th Meeting of the American Society of Mechanical Engineers, June 22-24, 1950. MR 0047506
  • [3] G. F. Carrier, On the non-linear vibration problem of the elastic string, Q. Appl. Math. 3, 157-165 (1945). MR 0012351
  • [4] G. F. Carrier, A note on the vibrating string, Q. Appl. Math. 7, 97-101 (1949). MR 0028511
  • [5] E. T. Wittaker and G. N. Watson, A course of modern analysis, Cambridge University Press, 1944, pp. 479-480, p. 573.
  • [6] Edwin P. Adams and R. L. Hippisley, Smithsonian mathematical formulae and tables of elliptic functions, Smithsonian Institution, 1947.
  • [7] J. J. Stoker, Non-linear vibrations, Interscience Publishers, 1950, p. 205.

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DOI: https://doi.org/10.1090/qam/43694
Article copyright: © Copyright 1952 American Mathematical Society

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