Nonlinear evolution of initially sine-like wedge acoustic waves

Author

Krylov, Victor V. ; Mayer, Andreas P. ; Parker, D.F.

Author_Institution

Centre for Res. into the Built Enivron., Nottingham Trent Univ.

fYear

1993

fDate

31 Oct-3 Nov 1993

Firstpage

765

Abstract

The nonlinear behaviour of antisymmetric wedge acoustic waves propagating along the tip of a sharp elastic wedge is investigated theoretically. The nonlinear evolution equation is derived taking into account geometrical-acoustics approximation for wedge waves. In contrast to the case of surface acoustic waves for which the quadratic nonlinearity dominates the lowest order of nonlinearity in this equation is cubic. For arbitrary propagation distances, the numerical solution taking into account 10 interacting wave harmonics has been carried out. The results show that an initially sine-like antisymmetric wedge wave distorts to a wave of trapezoidal form propagating with changed phase velocity

Keywords

acoustic waveguides; harmonics; nonlinear acoustics; numerical analysis; antisymmetric wedge acoustic waves; initially sine-like wedge acoustic waves; interacting wave harmonics; nonlinear behaviour; nonlinear evolution equation; numerical solution; phase velocity; sharp elastic wedge; Acoustic materials; Acoustic propagation; Acoustic waves; Mathematics; Nonlinear equations; Physics; Solids; Statistics; Surface acoustic waves; Vibrations;

fLanguage

English

Publisher

ieee

Conference_Titel

Ultrasonics Symposium, 1993. Proceedings., IEEE 1993

Conference_Location

Baltimore, MD

Print_ISBN

0-7803-2012-3

Type

conf

DOI

10.1109/ULTSYM.1993.339509

Filename

339509