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AN4427 Datasheet(PDF) 6 Page - STMicroelectronics

Part # AN4427
Description  Gasket design for optimal acoustic performance
PDF  19 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN4427 Datasheet(HTML) 6 Page - STMicroelectronics

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Acoustic gasket and sealing guidelines
AN4427
6/19
DocID025705 Rev 1
removed, the higher-pressure air inside will flow out. The cavity will be left at a pressure
slightly lower than the outside, causing air to be drawn back in. This process repeats with
the magnitude of the pressure changes decreasing each time. The air in the port (the neck
of the chamber) has mass. Since it is in motion, it possesses some momentum. A longer
port would make for a larger mass, and vice-versa. The diameter of the port is related to the
mass of air and the volume of the chamber. A port that is too small in area for the chamber
volume will "choke" the flow while one that is too large in area for the chamber volume tends
to reduce the momentum of the air in the port.
Helmholtz resonance is the phenomenon of air resonance in a cavity, such as when one
blows across the top of an empty bottle. The name comes from a device created in the
1850s by Hermann Von Helmholtz, the "Helmholtz resonator", which he, the author of the
classic study of acoustic science, used to identify the various frequencies or musical pitches
present in music and other complex sounds. If the volume of the MEMS cavity is greater
than the neck, the resonator corresponds exactly to a Helmholtz resonator. More commonly
this condition is not respected since the volume of the MEMS cavity is smaller than the
entire volume created by the gasket cavity. Hence, since the equations regulating the
behavior of a stationary wave inside an acoustic cavity are complex and depend on the
geometry of every involved acoustic cavity, the use of a simulating tool like COMSOL® is
mandatory.
The COMSOL® tool supports the five standard problems or scenarios that occur frequently
when analyzing acoustics:
1.
The radiation problem: a vibrating structure (a speaker, for example) radiates sound
into the surrounding space. A far-away boundary condition is necessary to model the
unbounded domain.
2.
The scattering problem: an incident wave impinges on a body and creates a scattered
wave. A far-away radiation boundary condition is necessary.
3.
The sound field in an interior space (such as a room): the acoustic waves stay in a finite
volume so no radiation condition is necessary.
4.
Coupled fluid-elastic structure interaction (structural acoustics). If the radiating or
scattering structure consists of an elastic material, then one must consider the
interaction between the body and the surrounding fluid. In multiphysics coupling, the
acoustic analysis provides a load (the sound pressure) to the structural analysis, and
the structural analysis provides accelerations to the acoustic analysis.
5.
The transmission problem: the incident sound wave propagates into a body, which can
have different acoustic properties. Pressure and acceleration are continuous on the
boundary.
In the case of a microphone, the scenario considered is the sound field in an interior space.
Additionally the tool allows setting the boundary condition for every surface in order to
define the problem to simulate.
Typical boundary conditions are:
 Sound-hard boundaries. A sound-hard boundary is a boundary at which the normal
component of the acceleration is zero. This means that the normal derivative of the
pressure is zero at the boundary. This condition will be used to understand the
dependency of the sound-soft boundaries.
 Sound-soft boundaries. This means that the differential pressure vanishes at the
boundary.
 Impedance boundary conditions. The impedance boundary condition is a generalization
of the sound-hard and sound-soft boundary conditions. From a physical point of view, the



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