Nonlinear self-excited acoustic oscillations within fixed boundaries

Details Nonlinear self-excited acoustic oscillations within fixed boundaries Nonlinear self-excited acoustic oscillations within fixed boundaries

Oct 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982jfm...123..267k&link_type=abstract

Journal of Fluid Mechanics, vol. 123, Oct. 1982, p. 267-281.

Computer Science

Sound

2

Aeroacoustics, Cavity Resonators, Self Excitation, Sound Waves, Wave Equations, Boundary Conditions, Nonlinear Equations, Time Lag, Wave Interaction, Wave Propagation

Scientific paper

A second-order analysis of self-excited acoustic oscillations within fixed boundaries is carried out for the special case of rectangular cavities. A nonlinear wave equation is derived for essentially arbitrary boundary conditions which can be applied to both forced and excited oscillations. The analysis can be extended to other cavity geometries provided that the first-order solutions can be expressed in closed form. It is shown that a time lag may appear as a natural outcome of the second-order analysis and that the time lag is the key to a fundamental understanding of the nature of the oscillations and the variety of modes appearing in self-excited resonators.

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