Dynamics of a nonlinear energy harvester with subharmonic responses

Litak, Grzegorz; Ambrożkiewicz, Bartłomiej; Wolszczak, Piotr

doi:10.1088/1742-6596/1736/1/012032

Cited by 15 publications

(14 citation statements)

References 26 publications

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“…In order to obtain the maximum output power, such systems are designed to operate in their resonance frequency, however, in the real environment there is no single frequency acting on the system. Unfortunately, different frequency components acting on the system are observed at the spectra as other peaks or super- or sub-harmonics [ 11 , 12 ]. Another challenge is to find the optimal operating conditions coming from multiple excitations and control them to achieve the longest possible lifetime of the EH system.…”

Section: Introductionmentioning

confidence: 99%

Ceramic-Based Piezoelectric Material for Energy Harvesting Using Hybrid Excitation

Ambrożkiewicz

Czyż²,

Karpiński

et al. 2021

Materials

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This paper analyzes the energy efficiency of a Micro Fiber Composite (MFC) piezoelectric system. It is based on a smart Lead Zirconate Titanate material that consists of a monolithic PZT (piezoelectric ceramic) wafer, which is a ceramic-based piezoelectric material. An experimental test rig consisting of a wind tunnel and a developed measurement system was used to conduct the experiment. The developed test rig allowed changing the air velocity around the tested bluff body and the frequency of forced vibrations as well as recording the output voltage signal and linear acceleration of the tested object. The mechanical vibrations and the air flow were used to find the optimal performance of the piezoelectric energy harvesting system. The performance of the proposed piezoelectric wind energy harvester was tested for the same design, but of different masses. The geometry of the hybrid bluff body is a combination of cuboid and cylindrical shapes. The results of testing five bluff bodies for a range of wind tunnel air flow velocities from 4 to 15 m/s with additional vibration excitation frequencies from 0 to 10 Hz are presented. The conducted tests revealed the areas of the highest voltage output under specific excitation conditions that enable supplying low-power sensors with harvested energy.

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Section: Introductionmentioning

confidence: 99%

Ceramic-Based Piezoelectric Material for Energy Harvesting Using Hybrid Excitation

Ambrożkiewicz

Czyż²,

Karpiński

et al. 2021

Materials

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“…All these solutions are characterized by the periodicity of 1T. To get large orbit sub-harmonic solutions as reported in double well potentials [18][19][20] one needs, presumably, to adjust the parameters of the potential wells including their shapes and depths and variate the amplitude of excitation [51].…”

Section: Discussionmentioning

confidence: 99%

“…Various nonlinear effects were discussed and utilised [15,16]. One of proposed systems is based on piezoelectric transducers are designed around a system consisting of a flexible beam with magnets and two permanent magnets, located symmetrically near its free end [17,18]. Magnets modify the system's stiffness and lead to a double-well potential.…”

Section: Introductionmentioning

confidence: 99%

Multiple Solutions of the Tristable Energy Harvester

et al. 2021

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This paper presents the results of numerical simulations of a non-linear, tristable system for harvesting energy from vibrating mechanical devices. Detailed model tests were carried out in relation to the system consisting of a beam and three permanent magnets. Based on the derived mathematical model and assuming a range of control parameter variability, a three-dimensional image of the distribution of the largest Lyapunov exponent was plotted. On its basis, the regions of chaotic and predictable movement of the considered system exist have been established. With reference to selected plane of the largest Lyapunov exponent cross-sections, possible co-existing solutions were identified. To identify multiple solutions, a diagram of solutions (DS) diagram was used to illustrate the number of existing solutions and their periodicity. The proposed calculation tool is based on the so-called fixed points of Poincaré cross-section. In relation to selected values of the control parameter w, coexisting periodic solutions were identified for which phase trajectories and basins of attraction were presented. Based on the model tests carried out, it was found that in order to efficiently harvest energy, appropriate transducer adjustment is required. Calibration of the transducer is necessary to obtain the greatest amplitude of vibration of the beam, which corresponds to the phase trajectory limited by external energy potential barriers. As expected, the average voltage induced on the electrodes of the piezoelectric transducer and the average electrical power recorded on the resistive element are directly proportional to the amplitude and average kinetic energy of the beam.

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“…The applied devices are made up of a vibration resonator formed as a beam-mass resonator structure and a piezoelectric transducer [ 1 , 2 ]. To improve efficiency, a nonlinear oscillator was proposed [ 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 ], which is characterized by inclinations of resonance curves [ 13 ] and additional resonances defined by the multiplied rational and fractions of the main resonance frequencies [ 11 , 12 , 14 ]. Simultaneously, multiple coexisting solutions are present in such a system and depend on initial conditions [ 13 , 14 , 15 ].…”

Section: Introductionmentioning

confidence: 99%

On Theoretical and Numerical Aspects of Bifurcations and Hysteresis Effects in Kinetic Energy Harvesters

Litak

Margielewicz

Gąska

et al. 2022

Sensors

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The piezoelectric energy-harvesting system with double-well characteristics and hysteresis in the restoring force is studied. The proposed system consists of a bistable oscillator based on a cantilever beam structure. The elastic force potential is modified by magnets. The hysteresis is an additional effect of the composite beam considered in this system, and it effects the modal solution with specific mass distribution. Consequently, the modal response is a compromise between two overlapping, competing shapes. The simulation results show evolution in the single potential well solution, and bifurcations into double-well solutions with the hysteretic effect. The maximal Lyapunov exponent indicated the appearance of chaotic solutions. Inclusion of the shape branch overlap parameter reduces the distance between the external potential barriers and leads to a large-amplitude solution and simultaneously higher voltage output with smaller excitation force. The overlap parameter works in the other direction: the larger the overlap value, the smaller the voltage output. Presumably, the successful jump though the potential barrier is accompanied by an additional switch between the corresponding shapes.

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Dynamics of a nonlinear energy harvester with subharmonic responses

Cited by 15 publications

References 26 publications

Ceramic-Based Piezoelectric Material for Energy Harvesting Using Hybrid Excitation

Ceramic-Based Piezoelectric Material for Energy Harvesting Using Hybrid Excitation

Multiple Solutions of the Tristable Energy Harvester

On Theoretical and Numerical Aspects of Bifurcations and Hysteresis Effects in Kinetic Energy Harvesters

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