Multi-mode vibration suppression of clamped plates based on piezoelectric networks

The exact solutions for transverse free vibrations of a clamped plate were adopted as the modal coordinates to solve the given electromechanical coupled kinetic equations of clamped piezo electro mechanical-plate in modal space. After the computational analysis was conducted for harmonic response of the clamped piezo electro mechanical-plate which was stimulated under single-point excitation force, the optimal parameters of electrical components in piezoelectric networks used to suppress different resonances were obtained. For the clamped piezo electro mechanical-plate with parallel resistors and inductors, it has more than one local optimal parameters comparing with a simply supported plate. The clamped piezo electro mechanical-plate has the ability to suppress multimode vibration by analyzing the effectiveness of these optimal parameters on other resonances. In addition, the effectiveness is more sensitive to inductance comparing with resistance. The clamped piezo electro mechanical-plate with parallel resistors and inductors is more effective than piezo electro mechanical-plate only with resistors in reducing resonant response at single resonant frequency, while the multiple-mode vibration suppression effectiveness of it with parallel resistors and inductors will be decreased.