Active vibration control of a smart plate using a piezoelectric sensor–actuator pair atelevated temperatures

Abstract

A new scheme for active structural vibration control using piezoelectric patchesat elevated temperatures is analytically derived and experimentally verified. Acontrol law is derived using augmented piezoelectric constitutive equationswhich include the temperature dependence of piezoelectric stress coefficient(e31) and permittivity . Since the temperature dependence of ‘e31’ and ‘’ is not analytically known, their experimental values measured at elevatedtemperatures are used. Using augmented constitutive equations, a finite elementmodel of a smart two-dimensional isotropic plate instrumented with a collocatedpiezoelectric sensor–actuator pair is derived. A control law for active vibrationcontrol of the first mode of the smart cantilevered plate is derived using negativevelocity feedback. Active vibration control of the first mode of a smart cantileveredplate is experimentally achieved at elevated temperatures ranging from 25 to75 °C under two cases: (i) using a control law which ignores the temperature dependence of ‘e31’ and ‘’ and (ii) using a control law which includes the temperature dependence of ‘e31’ and ‘’. A comparison between these two control laws shows that: (i) active vibrationcontrol (AVC) performance is not maintained at elevated temperaturesusing a control law which ignores the temperature dependence of ‘e31’ and ‘’ and (ii) AVC performance is maintained at elevated temperatures whenwe use a control law which includes the temperature dependence of ‘e31’ and ‘’.