Example2 Directivity of Disc

General

  • A vibrating disc is placed in the air. The sound waves generated by it are analyzed.
     

  • The sound pressure levels are calculated for the points on the hemisphere, and the radiation patterns are solved.
     

  • Unless specified in the list below, the default conditions will be applied.
     

 

Analysis Space

Item

Settings

Analysis Space

3D

Model unit

m

 

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.

Tabs

Setting Item

Settings

Harmonic analysis

 

Frequency

Minimum: 52.7[Hz]

Maximum: 52.7*5[Hz]

Sweep Type

Select Linear step by division number.

Division number: 2

Sweep Setting

Select Fast sweep.

Tolerance: 1.0×10^-2

Open Boundary Tab

Type

Absorbing boundary

Order of Absorbing Boundary

1st degree

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.

The “speed” boundary condition is set on the circular face topology, which is created by segmenting the circular sheet body.

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

0/Solid

Air

000_Air(*)

* Available from the Material DB

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

 

V0/Face

Acoustic

Speed

1[m/s]

Results

The sound pressures at the points distanced 100 m away from the origin are solved and the directivities are shown below.

 

 

On the [Results] tab , click ▼ at the side of , and select Directivity.

The [Directivity Calculation] dialog box will show up.

 

 

Set it up as follows, and press the Polar Graph button.

The directivity will be shown in polar graph for each frequency.

Item

Settings

Mode: Frequency [Hz]

Select the mode to display.

Observation Point

r: 100[m]
 

φ: Enter 0 in all

θ:
min 0.0[deg]

max 360[deg]

step 100

Display

Sound Pressure Level [dB]

Plane of Symmetry

XY plane

 

 

The polar graph of the sound pressure level at 52.7[Hz] The unit is [dB]

 

The polar graph of the sound pressure level at 158.1[Hz] The unit is [dB]

 

The polar graph of the sound pressure level at 263.5[Hz] The unit is [dB]

 

The sound pressure varies as the drive frequency changes.