Resonant behaviour of damped beam

AI Thread Summary
The quality factor (Q) of a cantilever beam vibrating in air is determined by the damping factor (ζ), with the relationship Q = 1/(2ζ) for small damping values (ζ ≤ 0.1). To calculate Q, one must first define the loading conditions, including the self-mass of the beam. The equivalent viscous damping is influenced by the surrounding fluid medium, which is crucial for accurate calculations. The expressions for Q are applicable to both micro and nano cantilevers, though specific considerations may be necessary for these smaller scales. Understanding these principles is essential for analyzing the resonant behavior of damped beams.
laxman.kosuru
Messages
3
Reaction score
0
hi all
i have a problem in finding the quality factor of cantilever beam (one end is fixed and other end is free ) vibrating in air /other medium? how the qualtiy factor expression for beam is calculated? whether all these expressions applicable to micro and nano cantilevers.
please explain me.
i am new to this area. i read books on vibrations of beam. i didnt get anything
please mention steps for finding quality factor of cantilever beam in air medium(damped system)
Thanks
 
Engineering news on Phys.org
Your first step is to define the loading, including self mass.
 
laxman.kosuru said:
hi all
i have a problem in finding the quality factor of cantilever beam (one end is fixed and other end is free ) vibrating in air /other medium? how the qualtiy factor expression for beam is calculated? whether all these expressions applicable to micro and nano cantilevers.
please explain me.
i am new to this area. i read books on vibrations of beam. i didnt get anything
please mention steps for finding quality factor of cantilever beam in air medium(damped system)
Thanks

The quality factor Q is a measure of the sharpness of a peak of resonance and also the damping.

For small values of the damping factor \zeta, that is, \zeta \leq 0.1,

<br /> Q = \frac{1}{2 \zeta}<br />

For mechanical systems, it is useful to get a measure of the equivalent viscous damping. In your case, it might be related to the fluid around the beam.

A good reference is:
F. S. Tse, I. E. Morse and R. T. Hinkle. Mechanical Vibrations - Theory and Applications.
 
JolileChat said:
The quality factor Q is a measure of the sharpness of a peak of resonance and also the damping.

For small values of the damping factor \zeta, that is, \zeta \leq 0.1,

<br /> Q = \frac{1}{2 \zeta}<br />

For mechanical systems, it is useful to get a measure of the equivalent viscous damping. In your case, it might be related to the fluid around the beam.

A good reference is:
F. S. Tse, I. E. Morse and R. T. Hinkle. Mechanical Vibrations - Theory and Applications.

Thanks jolile
could you please give me the expression for cantilever q factor in air medium
 
Thread 'Physics of Stretch: What pressure does a band apply on a cylinder?'

Thread 'Physics of Stretch: What pressure does a band apply on a cylinder?'

Scenario 1 (figure 1) A continuous loop of elastic material is stretched around two metal bars. The top bar is attached to a load cell that reads force. The lower bar can be moved downwards to stretch the elastic material. The lower bar is moved downwards until the two bars are 1190mm apart, stretching the elastic material. The bars are 5mm thick, so the total internal loop length is 1200mm (1190mm + 5mm + 5mm). At this level of stretch, the load cell reads 45N tensile force. Key numbers...
View full post »

Thread 'Cantilever help'

I'm trying to decide what size and type of galvanized steel I need for 2 cantilever extensions. The cantilever is 5 ft. The space between the two cantilever arms is a 17 ft Gap the center 7 ft of the 17 ft Gap we'll need to Bear approximately 17,000 lb spread evenly from the front of the cantilever to the back of the cantilever over 5 ft. I will put support beams across these cantilever arms to support the load evenly
View full post »

Similar threads

Critically damped cantilever beam
Replies
2
Views
2K
Can Damping Values for Aluminum Cantilever Beams Be Easily Found?
Replies
2
Views
2K
Vibration problem: natural frequency=resonance?
Replies
22
Views
4K
What is this and where can I find a replacement
Replies
5
Views
1K
Resonant behaviour of damped beam
Replies
1
Views
3K
How to Estimate Vibration Stop Time for a Decelerating Cantilever Pipe?
Replies
4
Views
4K
Request For a Set of Eyes on an Oscillating Steel Cantilever
Replies
1
Views
1K
Stress at crack tip of a 2D cantilever beam under sinusoidal excitation
Replies
4
Views
2K
Elasticity of a Tubular Cantilever Beam
Replies
8
Views
2K
Vibration of beam with bump test
Replies
9
Views
8K

Hot Threads

Recent Insights

Back
Top