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

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

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 publicationVolume 3B: 15th Biennial Conference on Mechanical Vibration and Noise
Subtitle of host publicationAcoustics, Vibrations, and Rotating Machines
EditorsK.W. Wang, B. Yang, J.Q. Sun, K. Seto, K. Yoshida, al et al
PublisherAmerican Society of Mechanical Engineers
Pages355-360
Number of pages6
Volume84
Edition3 Pt B/1
ISBN (Print)978-0-7918-9765-2
DOIs
Publication statusPublished - 1 Dec 1995
Event1995 ASME Design Engineering Technical Conference. Part C - Boston, MA, USA
Duration: 17 Sept 199520 Sept 1995

Publication series

NameInternational Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE)

Conference

Conference1995 ASME Design Engineering Technical Conference. Part C
CityBoston, MA, USA
Period17/09/9520/09/95
OtherASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium

Bibliographical note

ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium September 17–20, 1995, Boston, Massachusetts, USA

Volume 3B: 15th Biennial Conference on Mechanical Vibration and Noise — Acoustics, Vibrations, and Rotating Machines

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