Forced Vibration of a Cantilever Beam

In summary, the effect of placing a mass on a cantilever beam subject to forced vibration will be minimal at the nodes due to no displacement from the normal. However, the effect may be more significant between the nodes. A recommended resource for further information on this topic is "Fundamentals of Vibrations" by Leonard Meirovitch, which covers various linear vibrations issues including the one described.
  • #1
phiska
22
0
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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  • #2
What do you think will happen?
 
  • #3
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...
 

1. What is a cantilever beam?

A cantilever beam is a type of structural element that is supported at only one end, while the other end is free to move. It is commonly used in building construction and engineering structures.

2. What is forced vibration?

Forced vibration is a type of vibration that occurs when a structure is subjected to a periodic or oscillating force. This force can be external, such as from a machine or motor, or internal, such as from an unbalanced rotating component.

3. What causes forced vibration in a cantilever beam?

Forced vibration in a cantilever beam is caused by an external force acting on the beam. This force can be applied directly to the beam or indirectly through a connected structure.

4. How is forced vibration of a cantilever beam analyzed?

The forced vibration of a cantilever beam can be analyzed using mathematical equations and principles, such as the Euler-Bernoulli beam theory and the modal analysis method. Computer simulations and experimental testing can also be used to analyze the vibration response.

5. What are the practical applications of studying forced vibration in cantilever beams?

Understanding forced vibration in cantilever beams is important for designing and analyzing structures that are subjected to external forces. This knowledge can be applied in various industries, such as construction, aerospace, and mechanical engineering, to ensure the safety and efficiency of structures and machines.

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