中国物理B ›› 2016, Vol. 25 ›› Issue (12): 127701-127701.doi: 10.1088/1674-1056/25/12/127701

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇    下一篇

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

Ji-Ying Hu(胡吉英), Zhao-Hui Li(李朝晖), Yang Sun(孙阳), Qi-Hu Li(李启虎)   

  1. 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
  • 收稿日期:2016-07-05 修回日期:2016-09-02 出版日期:2016-12-05 发布日期:2016-12-05
  • 通讯作者: Zhao-Hui Li E-mail:lizhcat@pku.edu.cn
  • 基金资助:

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

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. 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
  • Received:2016-07-05 Revised:2016-09-02 Online:2016-12-05 Published:2016-12-05
  • Contact: Zhao-Hui Li E-mail:lizhcat@pku.edu.cn
  • Supported by:

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

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摘要：

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.

关键词: piezoelectric materials, shunt damping, shear mode, elastic constant

Abstract:

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.

Key words: piezoelectric materials, shunt damping, shear mode, elastic constant

中图分类号:  (Other topics in dielectrics, piezoelectrics, and ferroelectrics and their properties)

  • 77.90.+k
62.20.-x (Mechanical properties of solids) 62.20.de (Elastic moduli) 81.40.Jj (Elasticity and anelasticity, stress-strain relations)