On Energy Transfer between Vibration Modes under Frequency-Varying Excitations for Energy Harvesting

Félix, Jorge Luis Palacios; Bianchin, Rafael P.; ALMEIDA, A.C.S.; Balthazar, José Manoel; Rocha, Rodrigo Tumolin; Brasil, Reyolando Manoel Lopes Rebello da Fonseca

doi:10.4028/www.scientific.net/amm.849.65

Cited by 12 publications

(13 citation statements)

References 17 publications

(21 reference statements)

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“…In addition, they are considered control parameters. If a 0 = 0, then it corresponds to harmonic excitation [1,9,10]. Note that for a 0 = 0 we have no action of the non-ideal motor.…”

Section: Mathematical Modelingmentioning

confidence: 99%

“…Another aspect addressed is hysteresis, as it is a common phenomenon in ferromagnetic materials. Hysteresis modeling has been extensively investigated, however, it remains a challenging problem due to its non-linearity and memory effect [9][10][11][12][13][14]. Among the hysteresis models, the Bouc-Wen model shows good results to describe the hysteretic behavior of mechanical vibrations, such as positioning devices such as piezoceramic actuators.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fractional Dynamical Behavior of an Elastic Magneto Piezo Oscillator Including Non-Ideal Motor Excitation

Ribeiro

Balthazar

Lenz

et al. 2022

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In this work, we analyzed the nonlinear fractional dynamics in the equations of motion of a bar coupled to support under the effect of a potential described by two equally spaced magnetic poles. We also considered Bouc–Wen damping in the equations of motion. For external force vibrations, we considered an equation of a non-ideal motor based on the parameters that related the interaction between the oscillation and the excitation source. With such considerations, we explored the influence of the fractional derivative operator parameter on the average power generated by the device and the dynamic behavior to determine the chaotic and periodic regions. We use Bifurcation Diagrams, Test 0–1, Phase Portrait, and Poincaré Maps. As a conclusion, we established a set of parameters for the fractional differential equations to obtain higher average powers and the periodicity windows that corroborate the establishment of energetic orbits for energy harvesting.

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“…In addition, they are considered control parameters. If a 0 = 0, then it corresponds to harmonic excitation [1,9,10]. Note that for a 0 = 0 we have no action of the non-ideal motor.…”

Section: Mathematical Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fractional Dynamical Behavior of an Elastic Magneto Piezo Oscillator Including Non-Ideal Motor Excitation

Ribeiro

Balthazar

Lenz

et al. 2022

Axioms

View full text Add to dashboard Cite

show abstract

“…) sob a força de excitação de frequência variável (LEADENHAM, S. & ERTURK, 2015;FELIX at al., 2015):…”

Section: Materiais E Métodosunclassified

Abordagens de fontes/colheitas de energias renováveis em micro/macro escala no campus universitário da região sul / Approaches of renewable energy sources/harvests in micro/macro scale in the university campus of the south region

Félix¹,

Nascimento²,

Prates³

2021

Braz. J. Anim. Environ. Res.

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Neste trabalho, apresentam-se o desenvolvimento numérico e experimental de vários projetos de pesquisa relacionados a colheita de energia utilizando as fontes de energia solar, do vento e das vibrações mecânicas. Para a captura da fonte da radiação solar foram utilizados os painéis fotovoltaicos de dimensões em pequena e grande escala, para a captura do vento e vibrações mecânicas foram utilizados piezoelétricos poliméricos de pequena dimensão.

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“…Zones of higher vibration amplitudes are not related to a coincidence of the shaft velocity with one of the rotor eigenfrequencies, but are related to the ripple frequency of power in the electric motor because of the limited energy source power. The presence of modes of coupled vibrations of power and precession amplitude (Felix et al, 2015;Tuleshov, 1987), at frequencies that are multiples of the frequency of the alternating component of the actuating moment (628 s −1 ) can be, along with the nonlinearity of the system itself, also due to the presence of subharmonics in the time law of the supply voltage change. The results of the experimental works qualitatively correspond to the results of theoretical studies of the impact of nonlinear damping on the amplitude-frequency characteristic of the rotor, carried out in the absence of nonlinear stiffness of the elastic support.…”

Section: The Dynamics Of the Experimental Rotormentioning

confidence: 99%

The nonlinear vibrations of a vertical hard gyroscopic rotor with nonlinear characteristics

Iskakov

Bissembayev

2019

Mech. Sci.

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Abstract. The paper considers an impact of viscous linear and cubic nonlinear damping of the elastic support on nonlinear vibrations of a vertical hard gyroscopic unbalanced rotor, taking into account nonlinear stiffness of the support material. Analyzing the research results shows that linear and cubic nonlinear damping can significantly suppress the resonance peak of the fundamental harmonic, eliminate the jumping phenomena of the nonlinear system. In non-resonance areas where the velocity is higher than the critical one, cubic nonlinear damping, unlike linear one, can slightly suppress amplitude of the rotor vibration. Therefore, in the high-velocity area, only nonlinear damping can maintain performance of a vibration isolator. In resonance area, an increase in linear or cubic nonlinear damping significantly suppresses the ability to absolute displacement. In non-resonance area, where the rotational velocity is lower than the critical one, they have almost no impact on ability to absolute displacement. In high velocity area, an increase in nonlinear damping may slightly increase the moment of force transmissibility, but linear damping has almost no impact on it. The obtained results can be successfully used to produce passive vibration isolators used for damping the vibrations of rotary machines, including gyroscopic ones.

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On Energy Transfer between Vibration Modes under Frequency-Varying Excitations for Energy Harvesting

Cited by 12 publications

References 17 publications

Fractional Dynamical Behavior of an Elastic Magneto Piezo Oscillator Including Non-Ideal Motor Excitation

Fractional Dynamical Behavior of an Elastic Magneto Piezo Oscillator Including Non-Ideal Motor Excitation

Abordagens de fontes/colheitas de energias renováveis em micro/macro escala no campus universitário da região sul / Approaches of renewable energy sources/harvests in micro/macro scale in the university campus of the south region

The nonlinear vibrations of a vertical hard gyroscopic rotor with nonlinear characteristics

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