Nonlinear Multimode Vibration Attenuation of Cantilever Beams using Tuned Passive Shunt Circuits
DOI:
https://doi.org/10.31181/rme489Keywords:
vibration , nonlinearity, shunt circuit, optimizationAbstract
This paper investigates the vibration attenuation of the multimode linear and nonlinear responses of cantilever beams using tuned passive shunt circuits. The vibration control is achieved via the optimization of the R-L circuit parameters for the maximum vibration attenuation over the frequency domain of interest using a Particle Swarm Optimization (PSO) algorithm of MATLAB. A mathematical model is developed for the coupled multimode response of a cantilever beam attached with a piezoelectric (PZT) shunt circuit. The geometrical and inertia nonlinearities of the cantilever beam are taken into consideration. The optimization technique is based on minimizing the area under the frequency-response plot as an objective function over the desired frequency domain. The effect of the PZT location and size is examined. The tuned shunt circuit parameters are found to significantly reduce the multi-mode nonlinear vibration of the beam. The tuned electrical natural frequency of the absorber is found to shift away from the beam’s natural frequency as the excitation force is increased. Additionally, adding a nonlinear inductor to the circuit is found to be insignificant and hence tuning the linear R-L circuit is an efficient treatment for the linear and nonlinear vibration of cantilever beams.
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