Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

   
 
 

 

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] Rayleigh, Some general theorems relating to vibrations: Sec. I. The stationary condition, Sec. II. The dissipation function, Sec. III. A law of reciprocal character, Proc. London Math. Soc. 4, 357-368 (1873); Scientific papers, 1, pp. 170-184 MR 1575554
  • [2] R. J. Duffin, A minimax theory for overdamped networks, J. Ratl. Mechanics and Anal. 4, 221-233 (1955) 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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