Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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The Rayleigh-Ritz method for dissipative or gyroscopic systems


Author: R. J. Duffin
Journal: Quart. Appl. Math. 18 (1960), 215-221
MSC: Primary 70.00
DOI: https://doi.org/10.1090/qam/122048
MathSciNet review: 122048
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References [Enhancements On Off] (What's this?)

  • [1] J. W. Strutt, Some General Theorems relating to Vibrations, Proc. London Math. Soc. S1-4, no. 1, 357. MR 1575554, https://doi.org/10.1112/plms/s1-4.1.357
  • [2] R. J. Duffin, A minimax theory for overdamped networks, J. Rational Mech. Anal. 4 (1955), 221–233. MR 0069030
  • [3] E. J. Routh, Dynamics of rigid bodies, vol. 2, 6th ed., Macmillan, London, 1905, p. 57
  • [4] A. G. Webster, Dynamics, 2nd ed., Stechert, New York, 1922, pp. 288-296
  • [5] E. T. Whittaker, Analytical dynamics, 4th ed., Macmillan, 1937, pp. 191-195
  • [6] B. D. H. Tellegen, The gyrator--a new electric network element, Phillips Research Reports 3, 81-101 (1948)

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DOI: https://doi.org/10.1090/qam/122048
Article copyright: © Copyright 1960 American Mathematical Society


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