Investigations of thickness-shear mode elastic constant and damping of shunted piezoelectric materials with a coupling resonator

Hu Ji-Ying¹, Li Zhao-Hui^{1, †,}, Sun Yang^{1, 3}, Li Qi-Hu²

Proposed coupling electro–mechanical resonant system: (a) the structure of the resonator; (b) equivalent coupling spring-mass system; (c) mechanical circuit diagram.