Forced Vibration of a Cantilever Beam

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SUMMARY

The discussion centers on the effects of forced vibration on a cantilever beam when a mass is placed at nodes versus between nodes. It is established that placing a mass at the nodes will have minimal impact due to the lack of displacement at those points. Conversely, placing a mass between the nodes will significantly affect the beam's vibrational characteristics. The recommended resource for further understanding is "Fundamentals of Vibrations" by Leonard Meirovitch, which comprehensively covers linear vibrations.

PREREQUISITES
  • Understanding of cantilever beam dynamics
  • Knowledge of forced vibration concepts
  • Familiarity with vibrational nodes and antinodes
  • Basic principles of linear vibrations
NEXT STEPS
  • Study the effects of mass distribution on cantilever beam vibrations
  • Learn about modal analysis in structural dynamics
  • Explore the mathematical modeling of forced vibrations
  • Investigate damping effects in vibrating systems
USEFUL FOR

Mechanical engineers, structural analysts, and students studying dynamics and vibrations will benefit from this discussion.

phiska
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If a cantilever beam is subject to forced vibration (from a shaker at fixed end), what will the effect be of placing a mass at a)nodes and b)between nodes?
I presume that as there is no displacement from the normal at the nodes, the mass will have little effect, but what about between the nodes?

Any textbook, or website suggestions also greatfully received!
 
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What do you think will happen?
 
Ah... a subject near and dear to my heart... vibrations...

The quintessential book on vibrations is "Fundamentals of Vibrations" by Leonard Meirovitch (ISBN: 0-07-041345-2) aka the 'Bible according to Meirovitch'.

Exactly the problem you describe, he addresses... along with every other linear vibrations issue... enjoy!

Cheers...
 

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