Analysis of Dynamic Characteristics of Tristable Exponential Section of Piezoelectric Energy Harvester

Variable-cross-section beams have better mass and strength distribution compared with constant cross-section beams, which can optimize the harvesting power of piezoelectric vibration energy harvesters, which are widely used in self-supplied and low-power electronic devices, providing more convenienc...

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Main Authors: Zhaoxin Cai, Kuntao Zhou, Tao Yang, Shuying Hao
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/16/18/6609
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author Zhaoxin Cai
Kuntao Zhou
Tao Yang
Shuying Hao
author_facet Zhaoxin Cai
Kuntao Zhou
Tao Yang
Shuying Hao
author_sort Zhaoxin Cai
collection DOAJ
description Variable-cross-section beams have better mass and strength distribution compared with constant cross-section beams, which can optimize the harvesting power of piezoelectric vibration energy harvesters, which are widely used in self-supplied and low-power electronic devices, providing more convenience and innovation for the development of micromechanical intelligence and portable mobile devices. This paper proposes a piezoelectric energy harvester with a tristable-exponential-decay cross section, which optimizes the strain distribution of the cantilever beam through exponential decay changes to improve the harvesting efficiency of the harvester in low-frequency environments. First, the nonlinear magnetic force is obtained based on the magnetic dipole, and the dynamic model is established by using the Euler–Bernoulli beam theory and Lagrangian equation. The influence of the structural parameters of the harvester on the system dynamics and output characteristics is analyzed in the two dimensions of time and frequency, and the influence of the exponential decay coefficient on the system dynamic response and output power is deeply studied. The research shows that the exponential decay section can reduce the first natural frequency of the cantilever beam; by changing the amplitude, frequency, d and d<sub>g</sub> of the excitation acceleration, the switching of the monostable, tristable and bistable states of the system can be realized. With a decrease in the exponential decay coefficient, under a low-frequency excitation of 0–7 Hz, the output power of the cantilever beam per unit volume is significantly improved, and under a 4 Hz low-frequency excitation, the acquisition output power per unit volume of the cantilever beam is increased by 7 times, thus realizing low-frequency, high-efficiency energy harvesting.
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spelling doaj.art-193724c846da4f0b812d397d1dc27db92023-11-19T10:27:35ZengMDPI AGEnergies1996-10732023-09-011618660910.3390/en16186609Analysis of Dynamic Characteristics of Tristable Exponential Section of Piezoelectric Energy HarvesterZhaoxin Cai0Kuntao Zhou1Tao Yang2Shuying Hao3School of Electrical Engineering and Automation, Tianjin University of Technology, Tianjin 300384, ChinaEngineering Training Centers, Tianjin University of Technology, Tianjin 300384, ChinaSchool of Mechanical Engineering, Tiangong University, Tianjin 300384, ChinaTianjin Key Laboratory of Advanced Electromechanical System Design and Control, Tianjin University of Technology, Tianjin 300384, ChinaVariable-cross-section beams have better mass and strength distribution compared with constant cross-section beams, which can optimize the harvesting power of piezoelectric vibration energy harvesters, which are widely used in self-supplied and low-power electronic devices, providing more convenience and innovation for the development of micromechanical intelligence and portable mobile devices. This paper proposes a piezoelectric energy harvester with a tristable-exponential-decay cross section, which optimizes the strain distribution of the cantilever beam through exponential decay changes to improve the harvesting efficiency of the harvester in low-frequency environments. First, the nonlinear magnetic force is obtained based on the magnetic dipole, and the dynamic model is established by using the Euler–Bernoulli beam theory and Lagrangian equation. The influence of the structural parameters of the harvester on the system dynamics and output characteristics is analyzed in the two dimensions of time and frequency, and the influence of the exponential decay coefficient on the system dynamic response and output power is deeply studied. The research shows that the exponential decay section can reduce the first natural frequency of the cantilever beam; by changing the amplitude, frequency, d and d<sub>g</sub> of the excitation acceleration, the switching of the monostable, tristable and bistable states of the system can be realized. With a decrease in the exponential decay coefficient, under a low-frequency excitation of 0–7 Hz, the output power of the cantilever beam per unit volume is significantly improved, and under a 4 Hz low-frequency excitation, the acquisition output power per unit volume of the cantilever beam is increased by 7 times, thus realizing low-frequency, high-efficiency energy harvesting.https://www.mdpi.com/1996-1073/16/18/6609tristablepiezoelectric energy harvesterexponential decaynonlinear magnetic forcenumerical simulationlow-frequency
spellingShingle Zhaoxin Cai
Kuntao Zhou
Tao Yang
Shuying Hao
Analysis of Dynamic Characteristics of Tristable Exponential Section of Piezoelectric Energy Harvester
Energies
tristable
piezoelectric energy harvester
exponential decay
nonlinear magnetic force
numerical simulation
low-frequency
title Analysis of Dynamic Characteristics of Tristable Exponential Section of Piezoelectric Energy Harvester
title_full Analysis of Dynamic Characteristics of Tristable Exponential Section of Piezoelectric Energy Harvester
title_fullStr Analysis of Dynamic Characteristics of Tristable Exponential Section of Piezoelectric Energy Harvester
title_full_unstemmed Analysis of Dynamic Characteristics of Tristable Exponential Section of Piezoelectric Energy Harvester
title_short Analysis of Dynamic Characteristics of Tristable Exponential Section of Piezoelectric Energy Harvester
title_sort analysis of dynamic characteristics of tristable exponential section of piezoelectric energy harvester
topic tristable
piezoelectric energy harvester
exponential decay
nonlinear magnetic force
numerical simulation
low-frequency
url https://www.mdpi.com/1996-1073/16/18/6609
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AT kuntaozhou analysisofdynamiccharacteristicsoftristableexponentialsectionofpiezoelectricenergyharvester
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AT shuyinghao analysisofdynamiccharacteristicsoftristableexponentialsectionofpiezoelectricenergyharvester