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

Abstract

A new scheme for active structural vibration control using piezoelectric patches at elevated temperatures is analytically derived and experimentally verified. A control law is derived using augmented piezoelectric constitutive equations which 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 elevated temperatures are used. Using augmented constitutive equations, a finite element model of a smart two-dimensional isotropic plate instrumented with a collocated piezoelectric sensor–actuator pair is derived. A control law for active vibration control of the first mode of the smart cantilevered plate is derived using negative velocity feedback. Active vibration control of the first mode of a smart cantilevered plate is experimentally achieved at elevated temperatures ranging from 25 to 75 °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 vibration control (AVC) performance is not maintained at elevated temperatures using a control law which ignores the temperature dependence of 'e31' and '' and (ii) AVC performance is maintained at elevated temperatures when we use a control law which includes the temperature dependence of 'e31' and ''.