Forced Vibration of a Cantilever Beam

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Placing a mass at the nodes of a cantilever beam under forced vibration will have minimal effect due to no displacement at those points. However, adding mass between the nodes can significantly influence the beam's dynamic response, potentially altering its natural frequencies and mode shapes. The discussion highlights the importance of understanding vibration principles in engineering applications. A recommended resource for further study is "Fundamentals of Vibrations" by Leonard Meirovitch, which covers various linear vibration issues. This foundational text is highly regarded for its comprehensive treatment of the subject.
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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