Single degree of freedom system/equivalent mass

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SUMMARY

The discussion centers on modeling a simple truss using Comsol to analyze its frequency response as a single degree of freedom (SDOF) system. Participants explore the calculation of spring constant, damping, and equivalent mass based on Comsol's output. A key question raised is whether the equivalent mass can exceed the actual mass of the truss and applied load, suggesting potential modeling errors. The conversation also touches on the methodology of approximating energy through assumed deflection forms in SDOF systems.

PREREQUISITES
  • Understanding of single degree of freedom (SDOF) systems
  • Familiarity with Comsol Multiphysics software
  • Knowledge of frequency response analysis
  • Basic concepts of spring constant and damping in mechanical systems
NEXT STEPS
  • Research Comsol Multiphysics modeling techniques for truss structures
  • Study the principles of frequency response and its applications in SDOF systems
  • Learn about calculating equivalent mass in dynamic systems
  • Explore methods for approximating energy in mechanical vibrations
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Engineers, mechanical designers, and researchers interested in structural dynamics and vibration analysis, particularly those utilizing Comsol for modeling and simulation.

CWatters
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It's possible to use Comsol to model a simple truss and the resulting frequency response looks like a single degree of freedom system. Using that data you can calculate a value for the spring constant, damping, and equivalent mass of the system etc and plot the frequency response of an ideal system with those parameters. Let's say you get a curve that's a good fit to the curve Comsol produced.

Is it possible for the equivalent mass to be greater than the mass of the truss and an applied load mass? Or would that indicate you have made a mistake?
 
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I don't know anything about Comsol, but most attempts to model a structure as a single degree of freedom are based on approximating the energy using an assumed deflection form to approximate the lowest mode vector. Is this how Comsol works, or do they have something else going on?
 

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