Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



Forced oscillations of elastic strings with nonlinear damping

Authors: M. Countryman and R. Kannan
Journal: Quart. Appl. Math. 50 (1992), 57-71
MSC: Primary 73K03; Secondary 35Q72, 73D35, 73K12
DOI: https://doi.org/10.1090/qam/1146624
MathSciNet review: MR1146624
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References [Enhancements On Off] (What's this?)

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  • [3] L. Cesari and R. Kannan, Solutions of nonlinear wave equations with nonlinear damping, Comm. Partial Differential Equations 8, 199-211 (1983) MR 692283
  • [4] R. W. Dickey, Stability theory for quasilinear wave equations with linear damping, Proc. Roy. Soc. Edinburgh Sect. A 88, 25-41 (1981) MR 611298
  • [5] J. W. Miles, Stability of forced oscillations of a vibrating string, J. Accoust. Soc. Amer. 38, 855-861 (1965) MR 0191153
  • [6] G. S. Srinivasa Murthy and B. S. Ramakrishna, Nonlinear character of resonance in stretched strings, J. Accoust. Soc. Amer. 38, 461-471 (1965)
  • [7] R. Narasimha, Nonlinear vibration of an elastic string, J. Sound Vibration 8, 134-146 (1968)
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  • [9] E. W. Lee, Nonlinear forced vibration of a stretched string, British J. Appl. Phys. 8, 411-413 (1957)

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DOI: https://doi.org/10.1090/qam/1146624
Article copyright: © Copyright 1992 American Mathematical Society

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