Estimating the velocity profile and acoustical quantities of a harmonically vibrating loudspeaker membrance from on-axis pressure data

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Abstract

Formulas are presented for the acoustical quantities of a harmonically excited resilient, flat circular loudspeaker in an infinite baffle, which are the sound pressure both on axis and far field, the directivity, and the total radiated power. These quantities are obtained by expanding the velocity distribution in terms of orthogonal polynomials. For rigid and nonrigid radiators this yields explicit series expressions for both the on-axis and the far-field pressure. In the reverse direction, a method of estimating velocity distributions from (measured) on-axis pressures by matching in terms of expansion coefficients is described. Together with the forward far-field computation scheme, this yields a method for the assessment of loudspeakers in the far field and of the total radiated power from (relatively near-field) on-axis data (generalized Keele scheme).

Original languageEnglish
Pages (from-to)1004-1015
Number of pages12
JournalJournal of the Audio Engineering Society
Volume57
Issue number12
Publication statusPublished - 1 Dec 2009

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Loudspeakers
Velocity distribution
Radiators
Polynomials
Acoustic waves

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title = "Estimating the velocity profile and acoustical quantities of a harmonically vibrating loudspeaker membrance from on-axis pressure data",
abstract = "Formulas are presented for the acoustical quantities of a harmonically excited resilient, flat circular loudspeaker in an infinite baffle, which are the sound pressure both on axis and far field, the directivity, and the total radiated power. These quantities are obtained by expanding the velocity distribution in terms of orthogonal polynomials. For rigid and nonrigid radiators this yields explicit series expressions for both the on-axis and the far-field pressure. In the reverse direction, a method of estimating velocity distributions from (measured) on-axis pressures by matching in terms of expansion coefficients is described. Together with the forward far-field computation scheme, this yields a method for the assessment of loudspeakers in the far field and of the total radiated power from (relatively near-field) on-axis data (generalized Keele scheme).",
author = "Aarts, {Ronald M.} and Janssen, {Augustus J.E.M.}",
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T1 - Estimating the velocity profile and acoustical quantities of a harmonically vibrating loudspeaker membrance from on-axis pressure data

AU - Aarts, Ronald M.

AU - Janssen, Augustus J.E.M.

PY - 2009/12/1

Y1 - 2009/12/1

N2 - Formulas are presented for the acoustical quantities of a harmonically excited resilient, flat circular loudspeaker in an infinite baffle, which are the sound pressure both on axis and far field, the directivity, and the total radiated power. These quantities are obtained by expanding the velocity distribution in terms of orthogonal polynomials. For rigid and nonrigid radiators this yields explicit series expressions for both the on-axis and the far-field pressure. In the reverse direction, a method of estimating velocity distributions from (measured) on-axis pressures by matching in terms of expansion coefficients is described. Together with the forward far-field computation scheme, this yields a method for the assessment of loudspeakers in the far field and of the total radiated power from (relatively near-field) on-axis data (generalized Keele scheme).

AB - Formulas are presented for the acoustical quantities of a harmonically excited resilient, flat circular loudspeaker in an infinite baffle, which are the sound pressure both on axis and far field, the directivity, and the total radiated power. These quantities are obtained by expanding the velocity distribution in terms of orthogonal polynomials. For rigid and nonrigid radiators this yields explicit series expressions for both the on-axis and the far-field pressure. In the reverse direction, a method of estimating velocity distributions from (measured) on-axis pressures by matching in terms of expansion coefficients is described. Together with the forward far-field computation scheme, this yields a method for the assessment of loudspeakers in the far field and of the total radiated power from (relatively near-field) on-axis data (generalized Keele scheme).

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