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 * Shakers
    * Systems Available for Immediate Shipment
    * Electro-Dynamic Shakers
    * Dual Excitation Shaker Systems
    * Three-Axis Shakers
    * MESA Shaker Systems
    * Power Amplifiers
    * Slip Tables
    * Head Expanders & Fixtures
    * Vibration Control System

 * Chambers
    * Systems Available for Immediate Shipment
    * Temperature/Humidity Chambers
    * Combined Environmental Test Systems
    * Combined System Controller Software
    * Chamber Controller Software
    * EDM Cloud - Remote Monitoring for Chambers

 * Contract Testing & Service
    * Testing & Evaluation Services
    * Electric Battery Testing with CAN bus
    * Installation & Service
    * Demo, Service, & Assembly
    * Testing Lab Photos

 * Resources
    * Reference Materials
    * Common Testing Standards
    * Introduction to Vibration Testing Systems
    * Modal Testing Excitation Consideration
    * What's Required To Bring Vibration Testing In-House?
    * How to Select a Vibration Testing System
    * Sentek Dynamics’ THV Series Environmental Test Systems
    * Selection and Installation of Sentek Dynamics' THV Series Environmental
      Test Systems
    * FEA Animations
    * Installed Systems Gallery
    * Videos

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SENTEK DYNAMICS NEWS




HOW TO SET UP A FINITE ELEMENT ANALYSIS (FEA) FREQUENCY STUDY

February 22, 2023 Mark Holland - Application Engineer

Engineering teams can utilize finite element analysis (FEA) to simulate mode
shapes, resonant frequencies, stiffness, and strength visualizations to help
optimize the structural design and minimize costs. The accuracy of the estimated
predictions from FEA is dependent on the assumptions made during modeling and
analysis and might vary from real-world test data. This article will cover how
to set up an FEA frequency study of a simple flat plate fastened at its center.

Figure 1. Flat Plate 3D model ready for FEA

An extrusion is used for the main body to model the plate, the corners are
chamfered, a fastening through hole is added, and the material is set to
aluminum alloy 6061.

Figure 2. Modeling the flat plate using extrusions

To run a frequency study, the following criteria need to be defined:

 1. The boundary condition(s)

 2. The mesh

The boundary condition(s) define how the model would interact in the real-world
application. This plate will be fastened using a bolt and washer onto a metal
insert.

Figure 3. Setting up fixtures in the Frequency Study

The mesh is applied to the model to discretize it. Numerical models are
generated based on the type of element used for meshing the model. The finite
element method is applied to solve the models to estimate the mode shapes and
resonant frequencies of the structure. The resolution of the mesh can be
adjusted to improve the accuracy of the numerical model.

Figure 4. Applying the mesh in the Frequency Study

Once the fixtures and mesh have been set, the frequency study can be run. Shown
below are the results of the FEA study used to predict the first 4 mode shapes
of the flat plate.

View fullsize
1st Resonance @ 15.9 Hz
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2nd Resonance @ 16.1 Hz
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3rd Resonance @ 23.7 Hz
View fullsize
4th Resonance @ 31.1 Hz

From this analysis, an initial understanding is gained of where the first 4
resonant frequencies could occur as well as what the mode shapes could look
like. If the results give the engineering team concerns about how the design
will perform, suitable changes can be made to the design before the prototype is
built, reducing production time and costs.

Employing finite element analysis as a tool in the design process would help
lower costs by reducing hardware prototypes and enhancing design through
critical insight into parameters such as material selection for strength and
stiffness.

 Below are additional examples of frequency studies performed on a variety of
fixtures.

100 mm x 150 mm x 10 mm Stainless Steel L Bracket

View fullsize
1st Resonance @ 153 Hz
View fullsize
2nd Resonance @ 230 Hz
View fullsize
3rd Resonance @ 570 Hz
View fullsize
4th Resonance @ 1057 Hz

100 mm x 150 mm x 15 mm Stainless Steel L Bracket 

View fullsize
1st Resonance @ 283 Hz
View fullsize
2nd Resonance @ 394 Hz
View fullsize
3rd Resonance @ 979 Hz
View fullsize
4th Resonance @ 1505 Hz

100 mm x 150 mm x 20 mm Stainless Steel L Bracket 

View fullsize
1st Resonance @ 340 Hz
View fullsize
2nd Resonance @ 431 Hz
View fullsize
3rd Resonance @ 1227 Hz
View fullsize
4th Resonance @ 1892 Hz

Custom L Fixture 725 mm x 600 mm x 550 mm made from plate Aluminum

View fullsize
1st Resonance @ 253 Hz
View fullsize
2nd Resonance @ 273 Hz
View fullsize
3rd Resonance @ 566 Hz
View fullsize
4th Resonance @ 594 Hz

HER900M Magnesium Round Head Expander

View fullsize
1st Resonance @ 794 Hz
View fullsize
2nd Resonance @ 829 Hz
View fullsize
3rd Resonance @ 830 Hz
View fullsize
4th Resonance @ 1320 Hz

This analysis was performed at Sentek Dynamics’ Charlotte, North Carolina test,
demo, service, and assembly facility.

A continuously developing technological field calls for constantly innovating
vibration testing systems. Sentek Dynamics is committed to providing powerful
and efficient solutions for all your vibration testing needs.

For testing inquires or to schedule a product demo day contact Sentek Dynamics
at https://www.sentekdynamics.com/testing-evaluation-services.

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