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Example 4: Hemispherical Speaker

General

 

Analysis Space

Item

Settings

Analysis Space

3D

Model Unit

mm

 

Analysis Conditions

Item

Settings

Solver

Acoustic Analysis [Mach]

Analysis Type

Harmonic Analysis

Options

N/A

 

The harmonic analysis tab is set up as follows.

The sound waves propagate outside the analysis region. Therefore the [open boundary] condition below is applied initially.

The default conditions are applied.

Tab

Setting Item

Settings

Harmonic analysis

 

Frequency

Minimum: 1000 [Hz]

Maximum: 1000 [Hz]

Sweep Type

Select [Log Step]

Sweep Setting

Select [Fast Sweep].

Tolerance: 1.0x10-2

Open Boundary Tab

Type

Absorbing Boundary

Order of Absorbing Boundary

1st-order

Coordinates of Origin

x = y = z = 0

Model

The air hemisphere is created from a solid body. The open boundary is set on the surface of the hemisphere.

A circular sheet body is defined for imprinting.
The velocity boundary condition is applied.

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

0/Solid

Air

000_Air(*)

* Available from the material DB

 

The sound speed of air is set as follows.

Material Name

Tab

Settings

000_Air(*)

Sound Speed

3.4X102 [m/s]

Boundary Conditions

The [speed] boundary condition is set on the face of the imprinting body.

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Settings

Open/Face

Acoustic

Open Boundary

 

VEL/Face

Acoustic

Speed

1 [m/s]

Results

The gradation contour of the sound pressure at the driving frequency of 100 [Hz] is shown below.