CAE Software【Femtet】Murata Software Co., Ltd.
Example11 Resonance of Church Bell
General
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The resonance of a church bell is analyzed.
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The deformation, the displacement and the mechanical stress are solved.
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Unless specified in the list below, the default conditions will be applied.
Analysis Space
|
Item |
Settings |
|
Analysis Space |
3D |
|
Model unit |
m |
Analysis Conditions
The analysis type is the resonant analysis.
|
Item |
Settings |
|
Solver |
Mechanical Stress Analysis [Galileo] |
|
Analysis Type |
Resonant analysis |
|
Options |
N/A |
The resonant analysis tab is set up as follows.
|
Tabs |
Setting Item |
Settings |
|
Resonant analysis |
Number of modes |
6 |
|
Approximated frequency |
0[Hz] |
Model
Two spherical solid bodies and two cylindrical solid bodies are created, first. The smaller sphere and cylinder, and the larger sphere and cylinder are united by boolean respectively.
The smaller object is subtracted from the larger one. As a result, a church bell is created.
Body Attributes and Materials
|
Body Number/Type |
Body Attribute Name |
Material Name |
|
10/Solid |
BELL |
008_Cu * |
* Available from the Material DB
Boundary Conditions
N/A
Results
The following will be output on the output window or the log file.
|
<<Eigenvalue analysis>> Eigenvalue (resonant frequency):[Hz] Mode[ 0] = 8.61317565e+001 Mode[ 1] = 8.61493565e+001 Mode[ 2] = 2.25520570e+002 Mode[ 3] = 2.26128750e+002 Mode[ 4] = 3.22020390e+002 Mode[ 5] = 3.22035453e+002 |
The resonant frequencies can be checked on Table.
The fundamental resonant frequency is 86.1[Hz].
There are two degenerated fundamental resonant modes, which are Mode[0] and Mode[1].
The displacement diagram of Mode[0] is shown below. The contour diagram shows the displacement.
The displacement diagram of Mode[2] is shown below. The contour diagram shows the displacement.
The number of nodes are 4 in the fundamental mode, whereas it is 6 in the higher-order mode.