Passive vibration control of a cantilever beam using shunted piezoelectric element

in this paper general modeling of a cantilever beam with shunt damping effect, by using piezoelectric elements has been studied. It is found that on some beam cases, additional damping, which is augmented to a system, is generated by the shunt damping effect. The governing equations of shunt damping and boundary conditions are derived using Hamilton's principle. The piezoelectric element's voltage has been generated due to beam vibration. The response of a cantilever beam using parallel and series shunt circuits with certain initial condition has obtained and this response is compared to the free vibration of the beam. The passive control strategy is validated by experimental data.