Abstract
In this paper, an attempt is made to determine the electric potential that would be generated in the piezoelectric vibration absorber using finite element piezoelectric analysis to determine optimal locations for damping of the first mode. Optimal placement of piezoelectric vibration absorber for passive vibration control application of a cantilever composite plate is investigated. Finite element piezoelectric modal analysis is performed. Models based on placing piezoelectric vibration absorbers at five different locations on the surface of the plate and incorporating piezoelectric properties are built. Modal analysis is used to find the electric potential developed in the piezoelectric vibration absorber. The location that yields the highest amount of electric potential would naturally be the best location for the vibration absorber. First bending mode of the cantilever composite plate is aimed for damping. Results of the analysis are verified with an experimental testing of the composite plate with piezoelectric vibration absorber firmly attached to the plate on the most effective location. A good agreement is found between the analytical and experimental results. Further, a resistive shunt circuit is designed for the passive damping of the first mode and attached to the vibration absorber in which the electric potential developed would be dissipated as heat to obtain passive vibration compensation. The experiment also demonstrates that a damping of 6 percent is obtained in the first mode of vibration and a great amount of damping is achieved in the second and third modes as well.
Highlights
A piezoelectric vibration absorber is a patch of piezoelectric actuator placed on the surface of the plate to be damped, which is shunted with resistive, inductive, or both types of circuits designed to damp one or more modes
The above methods were not aimed at finding the electric potential that would be generated in the piezoelectric material, which is the key factor in vibration attenuation
From the results obtained it can be concluded that piezoelectric modal analysis serve as a very good tool in determining the location of the passive vibration absorber without much effort
Summary
A piezoelectric vibration absorber is a patch of piezoelectric actuator placed on the surface of the plate to be damped, which is shunted with resistive, inductive, or both types of circuits designed to damp one or more modes. The passive vibration absorbers are placed at the locations where the strain energy in the structure is at the highest value. These locations are determined by conducting stress analysis of the structure. The study of strain energy distribution in the plate would give a fairly accurate idea of the best location for the passive damping element, the modal piezoelectric analysis gives us a pretty straightforward output of the electric potential that would be obtained, which is our final requirement. LIN sorber using finite element piezoelectric analysis to be based on for determining the optimal location for the damping of the first mode of vibrations
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