NDLI: Acoustic resonance of radially symmetric waves in a thermoviscous gas

Content Provider	Springer Nature Link
Author	Ellermeier, W.
Copyright Year	1997
Abstract	Resonant nonlinear oscillations of a thermoviscous gas contained in a cylindrical or spherical shell are studied. Excitation is generated by a harmonically oscillating line or point source positioned on a cylinder axis or the center of a sphere, respectively, and symmetric, harmonic displacement of the wall; phase shift between both excitations is taken into account. The case of a constant phase shift is treated. The results also cover the unforced behavior of the undamped and damped systems. One finds that the envelope of the oscillation decays like in linear theory but the temporal evolution of the wave phase exhibits nonlinear effects. For both geometries the problems are nonlinear and qualitatively resemble each other closely in that there is the typical response curve of a Duffing oscillator with the response amplitude being of the order of magnitude of the cubic root of the excitation amplitude in either situation when damping is assumed weak enough to be accountable for by linear approximation. There are quantitative differences, however, with the damping as well as the nonlinearity effect being more pronounced for the spherical geometry. Temporal means of all perturbation fields are found to be vanishing in contrast to plane wave resonance.
Starting Page	97
Ending Page	113
Page Count	17
File Format	PDF
ISSN	00015970
Journal	Acta Mechanica
Volume Number	121
Issue Number	1-4
e-ISSN	16196937
Language	English
Publisher	Springer-Verlag
Publisher Date	1997-01-01
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Numerical and Computational Methods in Engineering Continuum Mechanics and Mechanics of Materials Structural Mechanics Vibration, Dynamical Systems, Control Engineering Fluid Dynamics Engineering Thermodynamics, Transport Phenomena
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

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