Damping in a parametric pendulum with a view on energy harvesting

Dotti, F; Reguera, Florencia; Machado, Sebastián P.

doi:10.1016/j.mechrescom.2017.02.009

Cited by 16 publications

(3 citation statements)

References 21 publications

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“…The best performance was obtained during anti-phase motion of the pendulums. In Dotti et al [10], the importance of accurately modeling the damping in parametric rotary pendulum was emphasized. Linear, quadratic, and Coulumb's dry friction terms were included to obtain an accurate match between modeling and experiments.…”

Section: Rotary Devices Under Translatory Base Excitationmentioning

confidence: 99%

Performance limit for base-excited energy harvesting, and comparison with experiments

Tiwari¹,

Vyasarayani²,

Chatterjee³

2020

Preprint

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We consider the theoretical maximum extractable average power from an energy harvesting device attached to a vibrating table which provides a unidirectional displacement A sin(ωt). The total mass of moving components in the device is m. The device is assembled in a container of dimension L, limiting the displacements and deformations of components within. The masses in the device may be interconnected in arbitrary ways. The maximum extractable average power is bounded by mLAω 3 π , for motions in 1, 2, or 3 dimensions; with both rectilinear and rotary motions as special cases; and with either single or multiple degrees of freedom. The limiting displacement profile of the moving masses for extracting maximum power is discontinuous, and not physically realizable. But smooth approximations can be nearly as good: with 15 terms in a Fourier approximation, the upper limit is 99% of the theoretical maximum. Purely sinusoidal solutions are limited to π 4 times the theoretical maximum. For both single-degree-of-freedom linear resonant devices and nonresonant devices where the energy extraction mimics a linear torsional damper, the maximum average power output is mLAω 3 4 . Thirty-six experimental energy harvesting devices in the literature are found to extract power amounts ranging from 0.0036% to 29% of the theoretical maximum. Of these thirty-six, twenty achieve less than 2% and three achieve more than 20%. We suggest, as a figure of merit, that energy extraction above 0.2mLAω 3 π may be considered excellent, and extraction above 0.3mLAω 3 π may be considered challenging.

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Section: Rotary Devices Under Translatory Base Excitationmentioning

confidence: 99%

Performance limit for base-excited energy harvesting, and comparison with experiments

Tiwari¹,

Vyasarayani²,

Chatterjee³

2020

Preprint

View full text Add to dashboard Cite

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“…The Lyapunov controller (Wu and He, 2015) and linear quadratic regulator (LQR) and proportion differentiation (PD)-type fuzzy logic controller (Ahmad et al, 2010) were applied to control horizontal motion of the pivot. The pendulum can be suppressed (Dotti et al, 2017) and continuously rotated (Nandakumar et al, 2012) by controlling the vertical motion of the pivot. Brisilla and Sankaranarayanan (2015), Wang (2011) and Ibañez et al (2005) studied on stability control of the inverted pendulum by designing different control laws.…”

Section: Introductionmentioning

confidence: 99%

Experimental study of rapid oscillation suppression of a pendulum on the basis of intermittent mass motion

Zhang

et al. 2019

Journal of Vibration and Control

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In this paper, the experimental setup of a pendulum with a moving mass is established to study the rapid suppression of pendulum oscillation. The intermittent motion of the moving mass is employed to achieve more efficient suppression. The proposed control method can reduce mass motion distance rapidly in the vicinity of the vertical position to ensure the stability of the system. The mass motion is triggered by recognizing the pendulum angle in real time so that the nonsynchronous motion can be avoided. With the verification of the accuracy of the controlled motion distance, the effects of several motion parameters of the moving mass are studied. Moreover, the experimental results reveal that the proposed control strategy is more efficient in oscillation suppressing than the traditional continuous control method. The experimental setup and the proposed approach can be applied in pendulum-like structure design and oscillation control.

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“…Later, various combinations of excitations and pendulums have been tested to understand how the direction of the excitation, as well as the interaction of two and more pendulums influence the rotational potential ( [8][9][10][11][12][13][14] and references therein). Experimental investigations on the rotating parametric pendulum and energy extraction can be found in [15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Parametric pendulum based wave energy converter

Yurchenko

Alevras

2018

Mechanical Systems and Signal Processing

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The paper investigates the dynamics of a novel wave energy converter based on the parametrically excited pendulum. The herein developed concept of the parametric pendulum allows reducing the influence of the gravity force thereby significantly improving the device performance at a regular sea state, which could not be achieved in the earlier proposed original point-absorber design. The suggested design of a wave energy converter achieves a dominant rotational motion without any additional mechanisms, like a gearbox, or any active control involvement. Presented numerical results of deterministic and stochastic modeling clearly reflect the advantage of the proposed design. A set of experimental results confirms the numerical findings and validates the new design of a parametric pendulum based wave energy converter. Power harvesting potential of the novel device is also presented.

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Damping in a parametric pendulum with a view on energy harvesting

Cited by 16 publications

References 21 publications

Performance limit for base-excited energy harvesting, and comparison with experiments

Performance limit for base-excited energy harvesting, and comparison with experiments

Experimental study of rapid oscillation suppression of a pendulum on the basis of intermittent mass motion

Parametric pendulum based wave energy converter

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