Modal analysis determines a structure's natural frequencies and mode shapes. It involves preprocessing like geometry creation and meshing, setting the analysis type to modal, extracting modes, applying constraints without loads, and solving. Results like frequencies and mode shapes are reviewed in the postprocessor and can be plotted, listed, or animated. A workshop example problem of a U-bracket is provided to demonstrate the modal analysis procedure.
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7. Modal Analysis
Modal analysis is used to determine a structures vibration
characteristics natural frequencies and mode shapes.
It is the most fundamental of all dynamic analysis types and
is generally the starting point for other, more detailed
dynamic analyses.
In this chapter, we will describe how to do a basic modal
analysis via the following topics:
A. Procedure
B. Workshop
For details, refer to your Structural Analysis Guide or
Dynamics Training Manual.
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Modal Analysis
...Procedure
Geometry & Meshing
Same considerations as a static analysis:
Include as many details as necessary to sufficiently represent
model geometry.
A fine mesh will be needed to resolve complex mode shapes.
Both Youngs modulus and density are required.
Specify mass density instead of weight density when using
British units.
weight density (lb/in3
) 歎 g (in/sec2
) = mass density (lb-sec2
/in4
)
For example, density of steel = 0.283/386 = 7.3E-04 lb-sec2
/in4
Linear elements and material properties only. Nonlinearities
are ignored.
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Modal Analysis
...Procedure
Analysis Options
Mode extraction options
MODOPT command or Solution >
Analysis Options...
Method: Block Lanczos is generally
recommended.
Number of modes: Specify the
number of modes you want to extract.
Mode expansion options
MXPAND command or Solution >
Analysis Options...
Expanding modes allows you to view
them in the postprocessor.
Number of modes is usually the same
as the number extracted.
Prestress effects
PSTRES command or Solution >
Analysis Options...
calculate mode shapes of a
prestressed structure, such as a
spinning turbine blade.
Default settings are
usually sufficient
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Modal Analysis
...Procedure
Loading & Solve
The only loads valid in a modal analysis are
displacement constraints:
Solution > -Loads- Apply > Displacement >
Or use the D family of commands: D, DK, DL, DA,
etc.
If you dont specify constraints, ANSYS will
calculate rigid body modes (zero frequency).
After all constraints have been specified, obtain the solution:
First save the database (SAVE command or Toolbar > SAVE_DB).
Then issue SOLVE (or Solution > -Solve- Current LS).