中国物理B ›› 2017, Vol. 26 ›› Issue (12): 127702-127702.doi: 10.1088/1674-1056/26/12/127702

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

Singular variation property of elastic constants of piezoelectric ceramics shunted to negative capacitance

Ji-Ying Hu(胡吉英), Zhao-Hui Li(李朝晖), 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
  • 收稿日期:2017-07-19 修回日期:2017-09-11 出版日期:2017-12-05 发布日期:2017-12-05
  • 通讯作者: Zhao-Hui Li E-mail:lizhcat@pku.edu.cn

Singular variation property of elastic constants of piezoelectric ceramics shunted to negative capacitance

Ji-Ying Hu(胡吉英)1, Zhao-Hui Li(李朝晖)1, 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
  • Received:2017-07-19 Revised:2017-09-11 Online:2017-12-05 Published:2017-12-05
  • Contact: Zhao-Hui Li E-mail:lizhcat@pku.edu.cn

摘要:

Piezoelectric shunt damping has been widely used in vibration suppression, sound absorption, noise elimination, etc. In such applications, the variant elastic constants of piezoelectric materials are the essential parameters that determine the performances of the systems, when piezoelectric materials are shunted to normal electrical elements, i.e., resistance, inductance and capacitance, as well as their combinations. In recent years, many researches have demonstrated that the wideband sound absorption or vibration suppression can be realized with piezoelectric materials shunted to negative capacitance. However, most systems using the negative-capacitance shunt circuits show their instabilities in the optimal condition, which are essentially caused by the singular variation properties of elastic constants of piezoelectric materials when shunted to negative capacitance. This paper aims at investigating the effects of negative-capacitance shunt circuits on elastic constants of a piezoelectric ceramic plate through theoretical analyses and experiments, which gives an rational explanation for why negative capacitance shunt circuit is prone to make structure instable. First, the relationships between the elastic constants c11, c33, c55 of the piezoelectric ceramic and the shunt negative capacitance are derived with the piezoelectric constitutive law theoretically. Then, an experimental setup is established to verify the theoretical results through observing the change of elastic constant c55 of the shunted piezoelectric plate with the variation of negative capacitance. The experimental results are in good agreement with the theoretical analyses, which reveals that the instability of the shunt damping system is essentially caused by the singular variation property of the elastic constants of piezoelectric material shunted to negative capacitance.

关键词: piezoelectric ceramics, elastic constant, shunt damping, negative capacitance

Abstract:

Piezoelectric shunt damping has been widely used in vibration suppression, sound absorption, noise elimination, etc. In such applications, the variant elastic constants of piezoelectric materials are the essential parameters that determine the performances of the systems, when piezoelectric materials are shunted to normal electrical elements, i.e., resistance, inductance and capacitance, as well as their combinations. In recent years, many researches have demonstrated that the wideband sound absorption or vibration suppression can be realized with piezoelectric materials shunted to negative capacitance. However, most systems using the negative-capacitance shunt circuits show their instabilities in the optimal condition, which are essentially caused by the singular variation properties of elastic constants of piezoelectric materials when shunted to negative capacitance. This paper aims at investigating the effects of negative-capacitance shunt circuits on elastic constants of a piezoelectric ceramic plate through theoretical analyses and experiments, which gives an rational explanation for why negative capacitance shunt circuit is prone to make structure instable. First, the relationships between the elastic constants c11, c33, c55 of the piezoelectric ceramic and the shunt negative capacitance are derived with the piezoelectric constitutive law theoretically. Then, an experimental setup is established to verify the theoretical results through observing the change of elastic constant c55 of the shunted piezoelectric plate with the variation of negative capacitance. The experimental results are in good agreement with the theoretical analyses, which reveals that the instability of the shunt damping system is essentially caused by the singular variation property of the elastic constants of piezoelectric material shunted to negative capacitance.

Key words: piezoelectric ceramics, elastic constant, shunt damping, negative capacitance

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)