Estimating the Velocity Profile and Acoustical Quantities of a Harmonically Vibrating Loudspeaker Membrane from On-Axis Pressure Data

Aarts RM, Janssen AJ. Estimating the Velocity Profile and Acoustical Quantities of a Harmonically Vibrating Loudspeaker Membrane from On-Axis Pressure Data. In: AES Convention 126. Audio Engineering Society; 2009. Paper 7678. Available from: https://aes.org/publications/elibrary-page/?id=14874

@inproceedings{Aarts2009_14874,
  author = {Aarts, Ronald M. and Janssen, Augustus J.},
  title = {{Estimating the Velocity Profile and Acoustical Quantities of a Harmonically Vibrating Loudspeaker Membrane from On-Axis Pressure Data}},
  booktitle = {AES Convention 126},
  note = {Paper 7678},
  year = {2009},
  month = may,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=14874}
}

TY  - CPAPER
TI  - Estimating the Velocity Profile and Acoustical Quantities of a Harmonically Vibrating Loudspeaker Membrane from On-Axis Pressure Data
AU  - Aarts, Ronald M.
AU  - Janssen, Augustus J.
T2  - AES Convention 126
M1  - Paper 7678
PY  - 2009
DA  - 2009/05/06
UR  - https://aes.org/publications/elibrary-page/?id=14874
PB  - Audio Engineering Society
LA  - en
AB  - Formulas are presented for acoustical quantities of a harmonically excited resilient, flat, circular loudspeaker in an infinite baffle. These quantities are the sound pressure on-axis, far-field, directivity, and the total radiated power. These quantities are obtained by expanding the velocity distribution in terms of orthogonal polynomials. For rigid and non-rigid radiators, this yields explicit, series expressions for both the on-axis and 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 assessment of loudspeakers in the far-field and of the total radiated power from (relatively near-field) on-axis data (generalized Keele scheme).
ER  -