Journal of Shandong University(Engineering Science) ›› 2019, Vol. 49 ›› Issue (6): 107-112.doi: 10.6040/j.issn.1672-3961.0.2019.061

• Mechanical, Energy and Power Engineering • Previous Articles     Next Articles

Size-dependenct intrinsic properties of the bilayer piezoelectric microbeam

Yu LIU(),Shenjie ZHOU*(),Kanghui WU   

  1. School of Mechanical Engineering, Shandong University, Jinan 250061, Shandong, China
  • Received:2019-02-14 Online:2019-12-20 Published:2019-12-17
  • Contact: Shenjie ZHOU E-mail:liuyugodlike@126.com;zhousj@sdu.edu.cn
  • Supported by:
    山东省自然科学基金资助项目(ZR2018MA026)

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Abstract:

A size-dependent dynamic model of a bilayer piezoelectric microbeam was established based on the couple stress piezoelectric theory incorporating flexoelectric effects to explore the variation of the intrinsic properties of the bilayer piezoelectric microbeam with the characteristic size. The natural frequency of the bilayer piezoelectric microbeam was obtained. The influence of piezoelectric effects and flexoelectric effects on the natural frequency of the microbeam was discussed by numerical analysis method. The results indicated that the dimensionless natural frequency of the bilayer piezoelectric microbeam increased significantly as the beam thickness decreased. It was also found that the dimensionless natural frequency of the bilayer piezoelectric microbeam showed stronger size-dependency than that of the model without considering electromechanical coupling effects, which mainly resulted from flexoelectric effects, and piezoelectric effects exerted minor influence on the beam natural frequency.

Key words: bilayer piezoelecteic microbeam, natural frequency, size dependency, piezoelectric effects, flexoelectric effects

CLC Number: 

  • TN384

Fig.1

Schematic of the bilayer piezoelectric microbeam"

Fig.2

Variation of the dimensionless beam natural frequency with the dimensionless beam thickness"

Fig.3

The influence of the electromechanical coupling effects on the natural frequency of the microbeam"

Fig.4

Influence of the antisymmetric part of the rotation gradients on the beam natural frequency"

Fig.5

Variation of the beam natural frequency with the relative thickness"

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