Vibration analysis - thin circular plate

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SUMMARY

The discussion centers on analyzing vibration issues in a thin circular carbon steel disc, specifically one that is 0.060 inches thick and supported by a vertical ring. The user reports significant peaks in transmissibility below 30Hz, reaching a ratio of 14:1 during sweeps. The goal is to mathematically define vertical displacement at the center of the disc, with an experimental approach suggested, including the use of Chladni patterns to observe modes. The user seeks guidance on reading materials to refresh their knowledge in this area.

PREREQUISITES
  • Understanding of vibration analysis principles
  • Familiarity with Chladni patterns and their application in modal analysis
  • Knowledge of material properties of carbon steel and its behavior under vibration
  • Basic mathematical modeling techniques for dynamic systems
NEXT STEPS
  • Research mathematical modeling techniques for vibration analysis of circular plates
  • Explore Chladni patterns and their significance in understanding vibrational modes
  • Study the effects of boundary conditions on vibration characteristics of thin plates
  • Investigate software tools for simulating vibration in mechanical systems, such as ANSYS or COMSOL Multiphysics
USEFUL FOR

Mechanical engineers, vibration analysts, and researchers focused on dynamic systems and vibration behavior of thin structures will benefit from this discussion.

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I'm moving on to a new area of focus at work and have found myself analysing a vibration issue. I've had the basics a BSME gets you at an accredited university (20 yrs ago), but am rusty to say the least. I'm looking for guidance on good reading materials to knock the rust off.

My problem is as follows. I'm trying to mathematically mimic a real life system so I can proceed with design options.

A thin (.060) circular carbon steel (galvanized) disc, supported at the edges around the circumference by a vertical ring (not welded, just metal interference above and below along the edges). Diameters of 10"-30".

Peaks in transmissibility below 30Hz of 14:1 in sweeps (more than double in dwells at peak frequency).

I'm ultimately trying to mathematically define vertical displacement at the center of the discs.
 
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I would approach this experimentally. Look at the modes using Chladni patterns.
 
Thanks PietKuip.
 

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