Cantilever Beam First Mode of Vibration

AI Thread Summary
The discussion focuses on identifying the first mode of vibration in a cantilever beam, particularly distinguishing it from other frequencies. A COMSOL model was used to calculate the first six modes of vibration, prompting curiosity about real-world examples. To differentiate between the first mode and other vibrations, one can observe increased amplitude at specific frequencies during excitation. Measuring amplitude versus frequency reveals peaks that correspond to the beam's resonant frequencies. Visual cues, such as increased amplitude, can also help identify when the beam is near its normal modes.
Oscar6330
Messages
28
Reaction score
0
I developed a COMSOL model and calculated the first 6 modes of vibration of cantilever beam. Later out of curiosity, I looked up some videos on youtube to see actual cantilever. I found this video which shows the first mode.



How do you know that its first mode of vibration? More specifically, how do you differentiate between normal vibrating beam and first mode (they look quite the same)?
 
Last edited by a moderator:
Physics news on Phys.org
any help please!
 
Oscar6330 said:
How do you know that its first mode of vibration? More specifically, how do you differentiate between normal vibrating beam and first mode (they look quite the same)?

What do you mean by "normal vibrating beam"?
 
nasu said:
What do you mean by "normal vibrating beam"?


From Normal vibrating beam/ cantilever, I mean a beam which is vibrating at a freq other than its mode freg. For e.g if first mode a beam is at 100 hz and its vibrating at 40Hz.
 
Now I understand. One way to go is the following:
If you vibrate the cantilever and change the excitation frequency continuously, you can tell the normal modes by an increased amplitude. For low damping this may be very sharp.
If you measure amplitude versus frequency, you will see some peaks corresponding to the normal modes (or resonant frequencies).
For the setup in the clip I guess you can tell visually when it is near the normal mode, from the increased amplitude.
 
The rope is tied into the person (the load of 200 pounds) and the rope goes up from the person to a fixed pulley and back down to his hands. He hauls the rope to suspend himself in the air. What is the mechanical advantage of the system? The person will indeed only have to lift half of his body weight (roughly 100 pounds) because he now lessened the load by that same amount. This APPEARS to be a 2:1 because he can hold himself with half the force, but my question is: is that mechanical...
Some physics textbook writer told me that Newton's first law applies only on bodies that feel no interactions at all. He said that if a body is on rest or moves in constant velocity, there is no external force acting on it. But I have heard another form of the law that says the net force acting on a body must be zero. This means there is interactions involved after all. So which one is correct?
Thread 'Beam on an inclined plane'
Hello! I have a question regarding a beam on an inclined plane. I was considering a beam resting on two supports attached to an inclined plane. I was almost sure that the lower support must be more loaded. My imagination about this problem is shown in the picture below. Here is how I wrote the condition of equilibrium forces: $$ \begin{cases} F_{g\parallel}=F_{t1}+F_{t2}, \\ F_{g\perp}=F_{r1}+F_{r2} \end{cases}. $$ On the other hand...

Similar threads

Replies
9
Views
2K
Replies
8
Views
2K
Replies
2
Views
2K
Replies
12
Views
4K
Replies
2
Views
3K
Replies
7
Views
2K
Replies
0
Views
2K
Back
Top