Bifurcation and stability analysis of parabolic ray equations for acoustic wave propagation in an underwater sound channel

Marian Wiercigroch, Mohsen Badiey, Jeffrey Simmen, Alexander H D Cheng

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The non-linear dynamic behavior of acoustic wave propagation in underwater sound channel is studied by a parabolic ray theory using Munk's sound speed profile. The Hamiltonian system of the ray trajectory is forced by a single mode sinusoidal internal wave. The amplitude and wave length of this excitation are used in a bifurcation analysis. The regions of instability are located by numerical simulations and visualized through a sequence of phase diagrams and Poincare maps.

Original languageEnglish
Title of host publication15th Biennial Conference on Mechanical Vibration and Noise
EditorsK.W. Wang, B. Yang, J.Q. Sun, K. Seto, K. Yoshida, al et al
PublisherAmerican Society of Mechanical Engineers
Volume84
Edition3 Pt B/1
Publication statusPublished - 1 Dec 1995
EventProceedings of the 1995 ASME Design Engineering Technical Conference. Part C - Boston, MA, USA
Duration: 17 Sep 199520 Sep 1995

Conference

ConferenceProceedings of the 1995 ASME Design Engineering Technical Conference. Part C
CityBoston, MA, USA
Period17/09/9520/09/95

Fingerprint

Acoustic wave propagation
Acoustic waves
Hamiltonians
Phase diagrams
Trajectories
Wavelength
Computer simulation

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Wiercigroch, M., Badiey, M., Simmen, J., & Cheng, A. H. D. (1995). Bifurcation and stability analysis of parabolic ray equations for acoustic wave propagation in an underwater sound channel. In K. W. Wang, B. Yang, J. Q. Sun, K. Seto, K. Yoshida, & A. et al (Eds.), 15th Biennial Conference on Mechanical Vibration and Noise (3 Pt B/1 ed., Vol. 84). American Society of Mechanical Engineers.

Bifurcation and stability analysis of parabolic ray equations for acoustic wave propagation in an underwater sound channel. / Wiercigroch, Marian; Badiey, Mohsen; Simmen, Jeffrey; Cheng, Alexander H D.

15th Biennial Conference on Mechanical Vibration and Noise. ed. / K.W. Wang; B. Yang; J.Q. Sun; K. Seto; K. Yoshida; al et al. Vol. 84 3 Pt B/1. ed. American Society of Mechanical Engineers, 1995.

Research output: Chapter in Book/Report/Conference proceedingChapter

Wiercigroch, M, Badiey, M, Simmen, J & Cheng, AHD 1995, Bifurcation and stability analysis of parabolic ray equations for acoustic wave propagation in an underwater sound channel. in KW Wang, B Yang, JQ Sun, K Seto, K Yoshida & A et al (eds), 15th Biennial Conference on Mechanical Vibration and Noise. 3 Pt B/1 edn, vol. 84, American Society of Mechanical Engineers, Proceedings of the 1995 ASME Design Engineering Technical Conference. Part C, Boston, MA, USA, 17/09/95.
Wiercigroch M, Badiey M, Simmen J, Cheng AHD. Bifurcation and stability analysis of parabolic ray equations for acoustic wave propagation in an underwater sound channel. In Wang KW, Yang B, Sun JQ, Seto K, Yoshida K, et al A, editors, 15th Biennial Conference on Mechanical Vibration and Noise. 3 Pt B/1 ed. Vol. 84. American Society of Mechanical Engineers. 1995
Wiercigroch, Marian ; Badiey, Mohsen ; Simmen, Jeffrey ; Cheng, Alexander H D. / Bifurcation and stability analysis of parabolic ray equations for acoustic wave propagation in an underwater sound channel. 15th Biennial Conference on Mechanical Vibration and Noise. editor / K.W. Wang ; B. Yang ; J.Q. Sun ; K. Seto ; K. Yoshida ; al et al. Vol. 84 3 Pt B/1. ed. American Society of Mechanical Engineers, 1995.
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