Verify 2 Node Frequency with Holzer's Method

[hanson]

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?

 

[Astronuc]

Could you elaborate on the system please.

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

 

[piercas]

Holzer's method is a mathematical technique used to determine the natural frequencies of a system. It can be used to verify that a given frequency of a torsional vibration system should have 2 nodes.

To use Holzer's method, you first need to construct a table of the system's mass, stiffness, and moment of inertia. Then, you can use an iterative process to calculate the natural frequencies of the system. If the calculated frequency matches the given frequency and there are 2 sign changes in the "theta" values, then it can be concluded that the system has 2 nodes.

However, it is important to note that Holzer's method is not the only method for verifying the number of nodes in a system's natural frequency. Other methods, such as modal analysis, can also be used. It is always important to use multiple methods to verify results and ensure accuracy in scientific research.