Five-port equivalent electric circuit of piezoelectric bimorph beam

摘要: Abstract Electromechanical behavior of a three-layered piezoelectric bimorph beam is represented by an electrically equivalent circuit with impedance elements. Each determined from the components 5×5 matrix. The derivation matrix based on theory where vertical and angular displacements at each end are considered. thus consist one electrical, four mechanical electromechanical coupling loops. Entire flows efforts accordingly have electrical ports. For system other or attached to bimorph, electric can be generated connecting impedances according boundary conditions external components. characteristics system, e.g., admittance, obtained circuit. As examples, three different types — free, simply supported cantilevered considered, circuits drawn port opened closed conditions. Two examples systems also shown, i.e., mass–spring–damper its free end, segmented extended substrate arm. In case, admittance directly derived resonance antiresonance frequencies calculated, it found that five-port presented in this paper yields exact expression for vibration bimorph.