The Deflection Control of a Thin Cantilever Beam by Using a Piezoelectric Actuator / Sensor

Abstract

In this research, the governing equation of the thinsmart beam transverse deflection was derived by thesame procedure that the Bernoulli-Euler equationderived but with some additional mathematical termsto be valid for describing the smart beam. Theengineering control techniques were used to obtainthe solution of the proposed differential equation forthe smart cantilever beam where with some auxiliaryequations and modifications a block diagram for anytype of applied load (static, or cyclic) as the input andthe beam deflection as the output was constructed.For insuring an efficient reduction in the beamdeflection an integrated system with a voltageamplifier and lead controller was designed. Manycases were studied and simulated including thevariation of load nature, and the number ofcollocated piezoelectric actuator/sensor pairs and inall cases a valuable deflection reductions wereobtained.