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I am a bit confused about somethings.

I want to determine the mode shapes of a free-free beam.

I assume that I can use the following?

1. the Euler-Bernoulli theory

2. the generalised wave equation

3. modal analysis

With modal analysis I can use the eigenvalue problem to finally end up with state space matrices to be able to determine the modes numerically with matlab. But how do I use the EB theory and the generalised wave equation in order to do (analytical) modal analysis ? Are 1 and 2 connected to each other? How?

Thank you

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# Vibration Control

Can you offer guidance or do you also need help?

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