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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Additional Information
- J. W. Strutt, Some General Theorems relating to Vibrations, Proc. Lond. Math. Soc. 4 (1871/73), 357–368. MR 1575554, DOI https://doi.org/10.1112/plms/s1-4.1.357
- R. J. Duffin, A minimax theory for overdamped networks, J. Rational Mech. Anal. 4 (1955), 221–233. MR 69030, DOI https://doi.org/10.1512/iumj.1955.4.54007
E. J. Routh, Dynamics of rigid bodies, vol. 2, 6th ed., Macmillan, London, 1905, p. 57
A. G. Webster, Dynamics, 2nd ed., Stechert, New York, 1922, pp. 288–296
E. T. Whittaker, Analytical dynamics, 4th ed., Macmillan, 1937, pp. 191–195
B. D. H. Tellegen, The gyrator—a new electric network element, Phillips Research Reports 3, 81–101 (1948)
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
R. J. Duffin, A minimax theory for overdamped networks, J. Ratl. Mechanics and Anal. 4, 221–233 (1955)
E. J. Routh, Dynamics of rigid bodies, vol. 2, 6th ed., Macmillan, London, 1905, p. 57
A. G. Webster, Dynamics, 2nd ed., Stechert, New York, 1922, pp. 288–296
E. T. Whittaker, Analytical dynamics, 4th ed., Macmillan, 1937, pp. 191–195
B. D. H. Tellegen, The gyrator—a new electric network element, Phillips Research Reports 3, 81–101 (1948)
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Article copyright:
© Copyright 1960
American Mathematical Society
