How to model a vibrating stick

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To model a vibrating stick anchored at one end, key factors include mass, center of gravity, shape, stiffness, and damping. The orientation of the stick relative to gravity also plays a significant role in its vibration behavior. Damping effects vary depending on the medium, with air providing different resistance compared to water. A wide, thin stick will experience more air resistance than a thin, round stick, impacting its vibration dynamics. Understanding these parameters is crucial for accurately predicting the system's behavior.
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Hello.
Let's assume I have a thin metal stick (or other material) anchored to a wall at one extremity (A), and free to move on the other extremity (B).
If I push down the extremity B and then release it, the stick starts to vibrate for some time (especially in the points closer to B).
If I push it too much it may even break.

What are the quantities that I should consider in order to model fairly accurately the behavior of such a system?
 
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Check out this illustration and read the entire article:

http://en.wikipedia.org/wiki/Vibration#Illustration_of_a_multiple_DOF_problem

mass, center of gravity, maybe shape of the "stick" stiffness and damping would be major parameters...also orientation relative to gravity...

depending on what you are doing, damping in air would be different than in, say, water...

a really wide but thin stick would encounter a lot of air resistance; a thin round stick perhaps negligible air resistance...

Be sure to check "SEE ALSO" listings at the bottom of the Wikipedia article for further information
 
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