The cantilever is affixed to the free end of a squarecross-section piezoelectric (PZT) block, which is fixed at theother end. Draw the schematic of the lumped-parameter model of thecantilever-PZT system, obtain the mathematical model of thismechanical system, and derive the lumped mass and stiffness of thePZT knowing that la = 0.01 m (length of PZT block), a = 0.005 m(side length of PZT cross-section), EPZT = 55 GPa (Young’smodulus), ?PZT = 7500 kg/m3 (mass density). The piezoelectricmaterial losses are represented by an equivalent viscous dampingcoefficient cPZT = 60 N-s/m.
