How to model a vibrating stick

In summary, the conversation discusses the behavior of a thin metal stick anchored to a wall and the quantities that should be considered when modeling its behavior. These quantities include mass, center of gravity, shape, stiffness, damping, and orientation relative to gravity. The article referenced also suggests exploring the "SEE ALSO" listings for more information.
  • #1
mnb96
715
5
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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  • #2
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
 

1. What is the purpose of modeling a vibrating stick?

The purpose of modeling a vibrating stick is to understand the behavior and movement of a vibrating object. This can help in predicting its future movements and studying the various factors that affect its vibrations.

2. What are the steps involved in modeling a vibrating stick?

The steps involved in modeling a vibrating stick include selecting a suitable mathematical model, determining the boundary conditions, solving the equations of motion, and analyzing the results.

3. Can any mathematical model be used to model a vibrating stick?

No, not all mathematical models are suitable for modeling a vibrating stick. The model must take into account the physical properties of the stick, such as its mass, length, and stiffness, and also consider the external forces acting on it.

4. What factors can affect the vibrations of a stick?

The vibrations of a stick can be affected by various factors such as its material properties, stiffness, length, and boundary conditions. Other external factors such as applied forces, temperature, and damping also play a role.

5. How accurate are the results obtained from modeling a vibrating stick?

The accuracy of the results obtained from modeling a vibrating stick depends on the complexity and accuracy of the mathematical model used, as well as the accuracy of the input parameters. It is important to validate the results with experiments to ensure their accuracy.

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