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Modal Analysis
Module 7
Octo
ber
30,
2001
Inven
INTRODUCTIONTOANSYS6.0-INTRODUCTIONTOANSYS6.0-
Part2Part2
Training Manual
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.
Octo
ber
30,
2001
Inven
INTRODUCTIONTOANSYS6.0-INTRODUCTIONTOANSYS6.0-
Part2Part2
Training Manual
Modal Analysis
A. Procedure
 The steps to do a modal analysis are as follows:
 Preprocessing
 Geometry
 Meshing
 Solution
 Analysis Type and Options
 Loading
 Solve
 Postprocessing
 Review results
Octo
ber
30,
2001
Inven
INTRODUCTIONTOANSYS6.0-INTRODUCTIONTOANSYS6.0-
Part2Part2
Training Manual
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.
Octo
ber
30,
2001
Inven
INTRODUCTIONTOANSYS6.0-INTRODUCTIONTOANSYS6.0-
Part2Part2
Training Manual
Modal Analysis
...Procedure
Analysis Type
 The analysis type is modal.
 Solution > -Analysis Type- New Analysis
 Or issue ANTYPE,MODAL
Octo
ber
30,
2001
Inven
INTRODUCTIONTOANSYS6.0-INTRODUCTIONTOANSYS6.0-
Part2Part2
Training Manual
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
Octo
ber
30,
2001
Inven
INTRODUCTIONTOANSYS6.0-INTRODUCTIONTOANSYS6.0-
Part2Part2
Training Manual
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).
Octo
ber
30,
2001
Inven
INTRODUCTIONTOANSYS6.0-INTRODUCTIONTOANSYS6.0-
Part2Part2
Training Manual
Modal Analysis
...Procedure
Review Results
 POST1 (the general postprocessor) is used to review modal analysis
results.
 Typically, the first step is to list the natural frequencies:
 General Postproc > Results Summary
 Or issue SET,LIST
 Note that each mode is stored in a separate substep.
Octo
ber
30,
2001
Inven
INTRODUCTIONTOANSYS6.0-INTRODUCTIONTOANSYS6.0-
Part2Part2
Training Manual
Modal Analysis
...Procedure
 To plot a mode shape:
 First read results for that substep
 General Postproc > Results Summary...
 Or use the SET command
 Then plot the deformed shape
 General Postproc > Plot Results >
Deformed Shape
 Or use the PLDISP command
Octo
ber
30,
2001
Inven
INTRODUCTIONTOANSYS6.0-INTRODUCTIONTOANSYS6.0-
Part2Part2
Training Manual
Modal Analysis
...Procedure
 You can also animate mode shapes:
 Utility Menu > PlotCtrls > Animate > Mode Shape
 Or use the ANMODE command
 Another option is to plot contours stresses and strains. Note,
however, that displacement and stress values are simply relative
numbers and have no real meaning.
Octo
ber
30,
2001
Inven
INTRODUCTIONTOANSYS6.0-INTRODUCTIONTOANSYS6.0-
Part2Part2
Training Manual
Modal Analysis
B. Workshop
 This workshop consists of the following problem:
W6. U-Bracket
Please refer to your Workshop Supplement for instructions.
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