Nonlinear dynamics of a new energy harvesting system with quasi-zero stiffness

Margielewicz, Jerzy; Gąska, Damian; Litak, Grzegorz; Wolszczak, Piotr; Yurchenko, Daniil

doi:10.1016/j.apenergy.2021.118159

Cited by 50 publications

(23 citation statements)

References 35 publications

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“…For the defined system and excitation parameters, one has to find the system’s evolution with various initial conditions. This problem comes down to the study of phase plane orbit topologies [ 22 ], the origins of which are located in different places. In the case of systems with a greater number of degrees of freedom, coexisting periodic and chaotic solutions are identified in a multidimensional phase space.…”

Section: The Results Of Model Testsmentioning

confidence: 99%

“…The starting point for the numerical experiments performed is the piezoelectric beam resonator system ( Figure 1 a) [ 22 ], which is the subject of many publications (see [ 23 ]). In general, the analyzed system consists of a flexible beam I with piezoelectric transducers II attached to its flat surfaces.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…C P and R O are parameters in the electrical circuit indicating capacity and resistance, respectively. Finally, k p is the coupling parameter and U p is the voltage output on the resistor [ 4 , 12 , 22 ].…”

Section: Mathematical Modelmentioning

confidence: 99%

See 2 more Smart Citations

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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Section: The Results Of Model Testsmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

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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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“…From the construction point of view, the considered system is an extension of the structure with quasi-zero stiffness QZEH [ 29 ]. The distinguishing elements of the design solution considered are the additional springs c 1 and c 3 .…”

Section: Formulation Of the Mathematical Modelmentioning

confidence: 99%

“…Their advantage is the ability to adapt to specific excitation conditions, in particular low vibration amplitudes. The quasi-zero energy harvester (QZEH) [ 29 ] is a special design solution of the star-shaped structure system proposed in this paper. The main difference is the configuration of the spring elements through which the potential barrier can be modified.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics of a Star-Shaped Structure and Variable Configuration of Elastic Elements for Energy Harvesting Applications

Margielewicz

Gąska

Litak

et al. 2022

Sensors

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The subject of the model research contained in this paper is a new design solution of the energy harvesting system with a star-shaped structure of elastic elements and variable configuration. Numerical experiments focused mainly on the assessment of the configuration of elastic elements in the context of energy harvesting efficiency. The results of computer simulations were limited to zero initial conditions as it is the natural position of the static equilibrium. The article compares the energy efficiency for the selected range of the dimensionless excitation frequency. For this purpose, four cases of elastic element configurations were compared. The results are visualized based on the diagram of RMS voltage induced on piezoelectric electrodes, bifurcation diagrams, Lyapunov exponents, and Poincaré maps, showing the impact of individual solutions on the efficiency of energy harvesting. The results of the simulations show that the harvester’s efficiency ranges from 4 V to 20 V depending on the configuration and the frequency range of the excitation, but the design allows for a smooth adjustment to the given conditions.

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Bird-Inspired Nonlinear Oscillator with Triboelectric Nanogenerator for Vibration Control and Energy Harvesting

Liu,

Cui,

Yang

et al. 2024

Lecture Notes in Electrical Engineering

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Nonlinear dynamics of a new energy harvesting system with quasi-zero stiffness

Cited by 50 publications

References 35 publications

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

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

Nonlinear Dynamics of a Star-Shaped Structure and Variable Configuration of Elastic Elements for Energy Harvesting Applications

Bird-Inspired Nonlinear Oscillator with Triboelectric Nanogenerator for Vibration Control and Energy Harvesting

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