Modal analysis

Modal analysis helps to determine the vibration characteristics (natural frequencies and mode shapes) of a mechanical structure or component, showing the movement of different parts of the structure under dynamic loading conditions.

Modal analysis plugin is available only in Analyze mode.

For more information about Modal test take a look at the Modal test manual.

Input channels

The input into modal analysis module are transfer functions calculated in modal test module

The transfer function can be added with an option Add all TFs. Transfer functions can be separatelly added or removed with Add or Remove button.

When TFs are added, we can see the channel name, excitation node and direction, response node and direction and type of the signal.

Transfer function preview

To see the preview of selected TF enable the Preview option and go to Transfer function preview tab.

General settings

Transpose matrix option enables the user to transpone mode shapes matrix. Original matrix show responses is rows and shapes in columns. With transpose option, the modes are displays in columns and responses in rows.

Freqency range selection offers the user to make a modal analysis only in the selected frequency range.

Damping correction should be enabled if a exponential window was used to acquire the data.

Calculations

Max order -

Frequency tolerance -

Damping tolerance -

Output channels

CMIF - Complex Mode Indicator Functions (CMIF), have one function for each reference DOF included (poly reference) and can detect closely coupled modes with repeated roots. CMIF is based on Singular Value Decomposition (SVD) of the FRF functions to identify all modes included in the model test measurements. The CMIF functions have peaks at resonances - indicating poles of the DUT.

FRF synthesis - FRF Synthesis is used as a validation tool by comparing the FRFs from the estimated modal model (the synthesized FRFs) with the real measured FRF data.

Mode shapes - mode

AutoMAC - The Modal Assurance Criterion Analysis (MAC) analysis is used to determine the similarity of two-mode shapes.

Results

Stabilization diagram

A Stabilization Diagram (or SD) helps with identifying stable poles and thereby consistent modes. The poles consist of the modal frequency and damping.

Display type:

order damping

Animation of mode shapes

In order to animate a mode, select Mode Shape as a source for animation under Transfer function window.

AutoMAC

The Modal Assurance Criterion Analysis (MAC) analysis is used to determine the similarity of two mode shapes:

If the mode shapes are identical (i.e., all points move the same) the MAC will have a value of one or 100%.

If the mode shapes are very different, the MAC value will be close to zero.

If a mode shape was compared to itself, the Modal Assurance Criterion value should be one or 100%.

FRF synthesis

FRF Synthesis is used as a validation tool by comparing the FRFs from the estimated modal model (the synthesized FRFs) with the real measured FRF data. Hereby it is possible to see how well the estimated model mimics the physical structure’s dynamics.