Hi Mohsen Mohebbi, you should be able to find a lot of research articles on active vibration suppression with piezoelectric actuators on ResearchGate, IEEE Xplore, and ScienceDirect. You need to find the equation of the damping moment of the piezoelectric actuator.

Conference Paper Piezoelectric actuator design for vibration suppression - Pl...

To try giving a meaningful answer, I need two pieces of information:

1- Is it numerical or experimental work?

2- If experimental, do you have an accelerometer, a filem, or PZT?

Hi Mohsen,

Here is a very good reference for active vibration control:

http://scmero.ulb.ac.be/Teaching/Courses/MECA-H-524/MECA-H-524-Lectures.pdf

You should consider that if you use a piezoelectric patch as a sensor, you will need a collocated piezoelectric actuator to guarantee the unconditional stability of your control system (dual collocated control). You will find the details in the reference.

Best,

GP

• Mohammad Tawfik numerical
• I find the equation of beam , So I want to use a equation.
• I want to use a exact method

Giuseppe Pennisi thanks a lot.

That's what I needed.

Hi Mohsen Mohebbi, you have mentioned that you need "an exact method of something" for the numerical work. If I interpreted your reply correctly, you want to know how to derive a control law/actuator signal, uPZT to suppress the vibration of a beam (as shown in the simplified equation):

η2 + ω2·η = uPZT

You are also encourage to read the extensive works on structural vibration control by Dr. Mohammad Tawfik and Dr. Giuseppe Pennisi.

Hi Yew-Chung Chak I just want to use piezoelectric for sensors because, I think The piezoelectric can't reduce the vibration of the beam ( it is expensive ).

In most articles, the parameters are different by other articles.

D = ε^T *E +d33 *T

S = d33 *E +s^E *T