Resonant behaviour of damped beam

[laxman.kosuru]

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

 

[Studiot]

Your first step is to define the loading, including self mass.

 

[JolileChat]

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, $$\zeta \leq 0.1$$,

$$Q = \frac{1}{2 \zeta}$$

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.

 

[laxman.kosuru]

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, $$\zeta \leq 0.1$$,

$$Q = \frac{1}{2 \zeta}$$

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