The effect nonlinear electrical shunts on the performance of piezoelectric vibration absorbers for linear systems is presented. The equations of motion are derived in a format suitable for perturbation analysis. An electrical shunt containing cubic and quadratic elements is coupled to the structure via the piezoelectric effect. Nonlinearities are introduced as a combination of the square and/or cube of the charge flowing in the linear inductive-resistive (LR) shunt. Turning the shunt near a structural mode causes mechanical energy to be transformed to electric energy and dissipated by the resistive element in the shunt in a manner analogous to a damped vibration absorber. Analysis is carried out using the method of multiple scales. Simulation results are also presented.
The use of piezoelectric materials simultaneously as passive single-mode devices and active broadband actuators to suppress structural vibrations is discussed. A simple modal model that predicts this behavior is developed. Experimental studies conducted to verify the model show a reduction of 20 dB in the response of the second mode of the structure is possible via passive shunting while simultaneously commanding the piezoactuator. The results indicate that for vibration problems involving a few modes, piezoelectric devices combining active and passive techniques can significantly reduce the broadband structural response to disturbances.
Vibration is a significant problem for aircraft. One common solution to vibration problems is to increase the modal damping through viscoelastic constrained layer treatments. An investigation into the use of an active constraining layer in place of a traditional constrained layer damping treatment is presented. Models, both analytical and finite element, were formed. Modal damping increases significantly for the fundamental mode of a simply supported beam. The effectiveness of the treatment is good over a broader temperature range as well. Active constraining layers can therefore reduce the resonant structural response of aircraft systems.
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