Magnetic force analysis and performance of a tri-stable piezoelectric energy harvester under random excitation

Leng, Yonggang; Tan, Dan; Liu, Jinjun; Zhang, Yuyang; Fan, Shidong

doi:10.1016/j.jsv.2017.06.020

Cited by 82 publications

(40 citation statements)

References 32 publications

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“…Building an accurate theoretical model is the basis of theoretical research. Compared with the magnetic dipole model, the magnetizing current method describes more accurately when the magnetic distance is not large [36]. The position and geometry of the magnet in the TPEH-C are given in Figure 3.…”

Section: Modeling Of the Nonlinear Magnetic Forcementioning

confidence: 99%

A Tri-Stable Piezoelectric Vibration Energy Harvester for Composite Shape Beam: Nonlinear Modeling and Analysis

Zhang

Zuo

Yang

et al. 2020

Sensors

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To reveal the nonlinear mechanism of the tri-stable piezoelectric vibration energy harvester based on composite shape beam (TPEH-C) and its influence on the system response, the nonlinear restoring force and the nonlinear magnetic force are discussed and analyzed in this paper. The nonlinear magnetic model is acquired by using equivalent magnetizing current theory, and the nonlinear resilience model is obtained by fitting experimental data. The corresponding distributed parameter model based on generalized Hamiltonian variation principle has been established. Frequency response functions for the TPEH-C are derived according to harmonic balance expansion, and the influence of different magnet distances and different excitation accelerations on the response amplitude and bandwidth of the TPEH-C are investigated. More importantly, the correctness of the theoretical analysis is verified by experiments. The results reveal that the spectrum of composite beam shows hard characteristic and the depth of potential well is changed, which provides a new way to ameliorate the potential well of the TPEH-C. A suitable magnet distance enables the TPEH-C to improve the response amplitude and the effective frequency range. The results in this paper have a theoretical guiding significance for the optimal design and engineering application of the TPEH-C.

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Section: Modeling Of the Nonlinear Magnetic Forcementioning

confidence: 99%

A Tri-Stable Piezoelectric Vibration Energy Harvester for Composite Shape Beam: Nonlinear Modeling and Analysis

Zhang

Zuo

Yang

et al. 2020

Sensors

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“…Let ρ � ln(A), and according to Itô's formula, equations (21) and (22) can be written as the following Itô stochastic differential equations:…”

Section: Trivial Solutions and Their Stabilitymentioning

confidence: 99%

“…η is any real or complex number. According to the multiplicative ergodic theorem [46], the Lyapunov exponent of the trivial steady-state solutions of equations (21) and (22) can be written as follows:…”

Section: Trivial Solutions and Their Stabilitymentioning

confidence: 99%

“…e TEH physically has three potential energy wells, which may have lower potential barriers than the BEH [18]. e advantages of the TEH in broadband vibration energy harvesting over the BEH under low-level harmonic and random base excitations were experimentally and numerically verified [17,[19][20][21]. For example, Xu et al [22] revealed the stochastic resonance mechanism of the TEH.…”

Section: Introductionmentioning

confidence: 99%

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Resonance Mechanism of Nonlinear Vibrational Multistable Energy Harvesters under Narrow‐Band Stochastic Parametric Excitations

2019

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To improve energy harvesting performance, this paper investigates the resonance mechanism of nonlinear vibrational multistable energy harvesters under narrow-band stochastic parametric excitations. Based on the method of multiple scales, the largest Lyapunov exponent which determines the stability of the trivial steady-state solutions is derived. The first kind modified Bessel function is utilized to derive the solutions of the responses of multistable energy harvesters. Then, the first-order and second-order nontrivial steady-state moments of multistable energy harvesters are considered. To explore the stochastic bifurcation phenomenon between the nontrivial and trivial steady-state solutions, the Fokker–Planck–Kolmogorov equation corresponding to the two-dimensional Itô stochastic differential equations is solved by using the finite difference method. In addition, the mechanism of the stochastic bifurcation of multistable energy harvesters is analyzed for revealing their unique dynamic response characteristics.

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“…Moreover, operation of energy harvester must be interrupted (Elvin and Erturk, 2013). Frequency tuning methods based on magnetic forces are able to provide moderate resonant frequency adjustment bandwidth (Leng and et al 2017). However, this method is suitable only for scenarios where small frequency changes occur.…”

Section: Fig 112 Schematic View Of Piezoelectric Energy Harvester mentioning

confidence: 99%

Research of piezoelectric energy harvesting systems based on cantilevers with irregular cross-sections

Čeponis¹

2018

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Disertacija rengta 2014-2018 metais Vilniaus Gedimino technikos universitete. Vadovas prof. dr. Dalius MAŽEIKA (Vilniaus Gedimino technikos universitetas, mechanikos inžinerija-09T). Vilniaus Gedimino technikos universiteto Mechanikos inžinerijos mokslo krypties disertacijos gynimo taryba: Pirmininkas prof. dr. Vytautas TURLA (Vilniaus Gedimino technikos universitetas, mechanikos inžinerija-09T). Nariai: prof. dr. Mindaugas JUREVIČIUS (Vilniaus Gedimino technikos universitetas, mechanikos inžinerija-09T), doc. dr. Artūras KILIKEVIČIUS (Vilniaus Gedimino technikos universitetas, mechanikos inžinerija-09T), prof. habil. dr. Vytautas OSTAŠEVIČIUS (Kauno technologijos universitetas, mechanikos inžinerija-09T), dr. Jens TWIEFEL (Hanoverio Leibnico universitetas, Vokietija, mechanikos inžinerija-09T). Disertacija bus ginama viešame Mechanikos inžinerijos mokslo krypties disertacijos gynimo tarybos posėdyje 2018 m. lapkričio 15 d. 10 val. Vilniaus Gedimino technikos universiteto senato posėdžių salėje.

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Magnetic force analysis and performance of a tri-stable piezoelectric energy harvester under random excitation

Cited by 82 publications

References 32 publications

A Tri-Stable Piezoelectric Vibration Energy Harvester for Composite Shape Beam: Nonlinear Modeling and Analysis

A Tri-Stable Piezoelectric Vibration Energy Harvester for Composite Shape Beam: Nonlinear Modeling and Analysis

Resonance Mechanism of Nonlinear Vibrational Multistable Energy Harvesters under Narrow‐Band Stochastic Parametric Excitations

Research of piezoelectric energy harvesting systems based on cantilevers with irregular cross-sections

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