Verify 2 Node Frequency with Holzer's Method

  • Thread starter Thread starter hanson
  • Start date Start date
  • Tags Tags
    Method
AI Thread Summary
Holzer's method is used to verify the natural frequency of a torsional vibration system, specifically to confirm the presence of two nodes. The process involves constructing a table and performing iterations to identify sign changes in the angular displacement, "theta." If two sign changes are observed, it indicates the system indeed has two nodes. Additionally, a shaft with N discs will exhibit N-1 nodes, further supporting the analysis of the system's behavior. Understanding these principles is crucial for accurately assessing torsional vibrations in mechanical systems.
hanson
Messages
312
Reaction score
0
Hi!
How to use Holzer's method to verify that a given natural frequency of a torsional vibration system should have 2 node?

Is that when I construct the table and do the iteration, I will finally find that there are 2 sign changes of the "theta"? Therefore, we can conlcude that?
 
Physics news on Phys.org
Could you elaborate on the system please.

If I am correct, a shaft with N discs would have N-1 nodes.
 
Back
Top