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- W1546475885 abstract "It has been argued that the sound radiation of a loudspeaker is modeled realistically by assuming the loudspeaker cabinet to be a rigid sphere with a moving rigid spherical cap. Series expansions, valid in the whole space on and outside the sphere, for the pressure due to a harmonically excited, exible cap with an axially symmetric velocity distribution are presented. The velocity pro??le is expanded in functions orthogonal on the cap rather than on the whole sphere. This has the advantage that only a few expansion coe??cients are su??cient to accurately describe the velocity pro??le. An adaptation of the standard solution of the Helmholtz equation to this particular parametrization is required. This is achieved by using recent results on argument scaling in orthogonal Zernike polynomials. The e??cacy of the approach is exempli??ed by calculating various acoustical quantities with particular attention to certain velocity pro??les that vanish at the rim of the cap to a desired degree. These quantities are: the sound pressure, polar response, ba??e-step response, sound power, directivity, and acoustic center of the radiator. The associated inverse problem, in which the velocity pro??le is estimated from pressure measurements around the sphere, is feasible as well since the number of expansion coe??cients to be estimated is limited. This is demonstrated with a simulation." @default.
- W1546475885 created "2016-06-24" @default.
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- W1546475885 date "2010-05-01" @default.
- W1546475885 modified "2023-09-24" @default.
- W1546475885 title "Modeling a loudspeaker as a flexible spherical cap on a rigid sphere" @default.
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