Analytical vibration suppression analysis of composite beams withpiezoelectric laminae

摘要

An analytical solution of composite beams with piezoelectriclaminae is presented. The governing equation of smart laminated compositebeams, which is based on first-order deformation theory (Mindlin platetheory), is derived. The main feature of this work is that it introducesthe displacement potential function to simplify the governing equation. A newassumption of harmonic vibration and the transformation method of complexnumbers are introduced. The behavior of feedback control gainand its control effects are studied. Graphical outputs are also generated,to study the effectiveness of piezoelectric sensors and actuators inactively controlling the transverse of smart laminated beams.