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
Full-text PDF Free Access
References |
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Additional Information
G. V. Anand, Nonlinear resonance in stretched strings with viscous damping, J. Accoust. Soc. Amer. 40, 1517–1528 (1966)
- G. F. Carrier, On the non-linear vibration problem of the elastic string, Quart. Appl. Math. 3 (1945), 157–165. MR 12351, DOI https://doi.org/10.1090/S0033-569X-1945-12351-4
- L. Cesari and R. Kannan, Periodic solutions of nonlinear wave equations with damping, Rend. Circ. Mat. Palermo (2) 31 (1982), no. 3, 421–432. MR 693588, DOI https://doi.org/10.1007/BF02851152
- R. W. Dickey, Stability theory for quasilinear wave equations with linear damping, Proc. Roy. Soc. Edinburgh Sect. A 88 (1981), no. 1-2, 25–41. MR 611298, DOI https://doi.org/10.1017/S0308210500017261
- John W. Miles, Stability of forced oscillations of a vibrating string, J. Acoust. Soc. Amer. 38 (1965), 855–861. MR 191153, DOI https://doi.org/10.1121/1.1909816
G. S. Srinivasa Murthy and B. S. Ramakrishna, Nonlinear character of resonance in stretched strings, J. Accoust. Soc. Amer. 38, 461–471 (1965)
R. Narasimha, Nonlinear vibration of an elastic string, J. Sound Vibration 8, 134–146 (1968)
- Donald W. Oplinger, Frequency response of a nonlinear stretched string, J. Acoust. Soc. Amer. 32 (1960), 1529–1538. MR 120900, DOI https://doi.org/10.1121/1.1907948
E. W. Lee, Nonlinear forced vibration of a stretched string, British J. Appl. Phys. 8, 411–413 (1957)
G. V. Anand, Nonlinear resonance in stretched strings with viscous damping, J. Accoust. Soc. Amer. 40, 1517–1528 (1966)
G. F. Carrier, On the nonlinear vibration problem of the elastic string. Quart. Appl. Math. 3, 157–165 (1945)
L. Cesari and R. Kannan, Solutions of nonlinear wave equations with nonlinear damping, Comm. Partial Differential Equations 8, 199–211 (1983)
R. W. Dickey, Stability theory for quasilinear wave equations with linear damping, Proc. Roy. Soc. Edinburgh Sect. A 88, 25–41 (1981)
J. W. Miles, Stability of forced oscillations of a vibrating string, J. Accoust. Soc. Amer. 38, 855–861 (1965)
G. S. Srinivasa Murthy and B. S. Ramakrishna, Nonlinear character of resonance in stretched strings, J. Accoust. Soc. Amer. 38, 461–471 (1965)
R. Narasimha, Nonlinear vibration of an elastic string, J. Sound Vibration 8, 134–146 (1968)
D. W. Oplinger, Frequency response of a nonlinear stretched string, J. Accoust. Soc. Amer. 32, 1529–1538 (1960)
E. W. Lee, Nonlinear forced vibration of a stretched string, British J. Appl. Phys. 8, 411–413 (1957)
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Article copyright:
© Copyright 1992
American Mathematical Society
