Journal of Mechanical Science and Technology

, Volume 33, Issue 11, pp 5169–5176 | Cite as

Modeling and analysis of a rotational piezoelectric energy harvester with limiters

  • Xiaobo Rui
  • Zhoumo Zeng
  • Yibo LiEmail author
  • Yu Zhang
  • Zi Yang
  • Xinjing Huang
  • Zhou Sha


A rotational piezoelectric energy harvester has the ability to convert rotation mechanical energy into electric power. The piezoelectric harvester with cantilever based on gravity excitation has received great attention. Given that gravity excitation is greater than conventional vibration excitation, and large mass are often used in low-frequency applications, large amplitudes pose a significant threat to the life of a harvester. In this study, a rotational energy harvester with limiters is investigated to promote practical development. This study establishes a theoretical model verified by experiments. Results show that stiffness has little influence on the limiting effect. In the experimental conditions, the output after 2000 N/m is basically the same. The peak value of the output voltage is linearly proportional to the space. Given that an impact excitation is generated in the collision, the limiter widens the frequency band of the output in the upsweep.


Rotation Piezoelectric Energy harvesting Limiter 



Equivalent mass


Equivalent stiffness


Equivalent damping


Coupling coefficient


Piezoelectric material capacitance


Limiter equivalent stiffness


Load resistance


Displacement vector


Angle vector


Kinetic energy


Potential energy


Euler-Lagrange quantity


Output voltage


Generalized torsional force


Charge obtained by the piezoelectric effect


Weight of the piezoelectric material


Width of the cantilever beam


Density of the cantilever beam


Thickness of the piezoelectric material


Thickness of the cantilever beam


Weight of the mass


Complex beam’s modulus of elasticity


Modulus of elasticity of the piezoelectric material


Modulus of elasticity of the cantilever beam


Moment of inertia


Collision factor


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This work was supported by the National Key R&D Program of China (No. 2018YFF0212201), Tianjin Key R&D Program (No. 19YFSLQY00080), Natural Science Foundation of Tianjin (No. 17JCYBJC19300), and National Nature Science Fund of China (No. 61973227).


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Copyright information

© KSME & Springer 2019

Authors and Affiliations

  • Xiaobo Rui
    • 1
  • Zhoumo Zeng
    • 1
  • Yibo Li
    • 1
    Email author
  • Yu Zhang
    • 1
  • Zi Yang
    • 2
  • Xinjing Huang
    • 1
  • Zhou Sha
    • 1
  1. 1.State Key Laboratory of Precision Measurement Technology and InstrumentTianjin UniversityTianjinChina
  2. 2.Department of Materials Science and EngineeringThe Ohio State UniversityColumbusUSA

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