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Chin. Phys. B, 2016, Vol. 25(12): 127701    DOI: 10.1088/1674-1056/25/12/127701

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

Ji-Ying Hu(胡吉英)1, Zhao-Hui Li(李朝晖)1, Yang Sun(孙阳)1,3, Qi-Hu Li(李启虎)2
1. Department of Electronics, Peking University, Beijing 100871, China;
2. Advanced Technology Institute, Peking University, Beijing 100871, China;
3. College of Science, Beijing Forestry University, Beijing 100083, China

Shear-mode piezoelectric materials have been widely used to shunt the damping of vibrations where utilizing surface or interface shear stresses. The thick-shear mode (TSM) elastic constant and the mechanical loss factor can change correspondingly when piezoelectric materials are shunted to different electrical circuits. This phenomenon makes it possible to control the performance of a shear-mode piezoelectric damping system through designing the shunt circuit. However, due to the difficulties in directly measuring the TSM elastic constant and the mechanical loss factor of piezoelectric materials, the relationships between those parameters and the shunt circuits have rarely been investigated. In this paper, a coupling TSM electro-mechanical resonant system is proposed to indirectly measure the variations of the TSM elastic constant and the mechanical loss factor of piezoelectric materials. The main idea is to transform the variations of the TSM elastic constant and the mechanical loss factor into the changes of the easily observed resonant frequency and electrical quality factor of the coupling electro-mechanical resonator. Based on this model, the formular relationships are set up theoretically with Mason equivalent circuit method and they are validated with finite element (FE) analyses. Finally, a prototype of the coupling electro-mechanical resonator is fabricated with two shear-mode PZT5A plates to investigate the TSM elastic constants and the mechanical loss factors of different circuit-shunted cases of the piezoelectric plate. Both the resonant frequency shifts and the bandwidth changes observed in experiments are in good consistence with the theoretical and FE analyses under the same shunt conditions. The proposed coupling resonator and the obtained relationships are validated with but not limited to PZT5A.

Keywords:  piezoelectric materials      shunt damping      shear mode      elastic constant  
Received:  05 July 2016      Revised:  02 September 2016      Accepted manuscript online: 
PACS:  77.90.+k (Other topics in dielectrics, piezoelectrics, and ferroelectrics and their properties)  
  62.20.-x (Mechanical properties of solids) (Elastic moduli)  
  81.40.Jj (Elasticity and anelasticity, stress-strain relations)  

Project supported by the National Defense Foundation of China (Grant No. 9149A12050414JW02180).

Corresponding Authors:  Zhao-Hui Li     E-mail:

Cite this article: 

Ji-Ying Hu(胡吉英), Zhao-Hui Li(李朝晖), Yang Sun(孙阳), Qi-Hu Li(李启虎) Investigations of thickness-shear mode elastic constant and damping of shunted piezoelectric materials with a coupling resonator 2016 Chin. Phys. B 25 127701

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