To simplify things: Imagine a speaker with a perfectly rigid cone in a sealed enclosure (so we only have to care about the waves produced in the outer side).

I can have the information of position, velocity and acceleration of the cone at any given moment.

From that I want to find the sound pressure (the static pressure of the air) right in front of the cone, or at least to what it is proportional to.


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    $\begingroup$ This is a standard problem in acoustics. Google for "piston in a plane baffle". Only special cases (e.g. a circular piston in an infinite sized baffle) have closed-form solutions. $\endgroup$ – alephzero Mar 2 '20 at 14:37
  • $\begingroup$ @alephzero, but that solution gives the pressure for points in space around the piston, right at the surface of the piston it seems to give no results $\endgroup$ – user2934303 Mar 4 '20 at 18:23

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