Experimental Rotations of a Pendulum on Water Waves

Lenci, Stefano; Brocchini, Maurizio; Lorenzoni, Carlo

doi:10.1115/1.4004547

Cited by 36 publications

(17 citation statements)

References 21 publications

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“…Experimental studies on 30 interactions between parametric pendulum and electro-dynamical shaker were reported in [21]. An experimental investigation was carried out in [22] and [23] with the aim of exploring the response of pendulum to the wave forcing in a dedicated wave flume laboratory. The basin of attraction for periodic rotating orbits, which had been foreseen in the parameter space in [1] and [16], were 35 reported in [22] to be smaller than the theoretical one in experiment, implying that the operating regime of parametric pendulum systems that yields stable rotation is expected to be narrower in real life than theory.…”

mentioning

confidence: 99%

Rotating a pendulum with an electromechanical excitation

Teh

Woo

et al. 2015

International Journal of Non-Linear Mechanics

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confidence: 99%

Rotating a pendulum with an electromechanical excitation

Teh

Woo

et al. 2015

International Journal of Non-Linear Mechanics

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“…An extended experimental operation was carried out in Lenci et al [14] intending to obtain the conditions for rotations of the pendulum excited by waves. The rotational behavior was found for different values of amplitude and frequency, showing robustness in the parameter space.…”

Section: Introductionmentioning

confidence: 99%

Statements on nonlinear dynamics behavior of a pendulum, excited by a crank-shaft-slider mechanism

et al. 2015

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The nonlinear dynamics behavior analyzed, in this paper, consists in a pendulum vertically excited on the support by a crankshaft -slider mechanism. The novelty is the obtainment and analysis of a mathematical model for the pendulum dynamics, under an excitation of a crank-slider, which is based on an extension of the mathematical model of the classical parametric pendulums. Through the modeling, it was verified that the nonlinear dynamics of the pendulum, excited by the crankshaft -slider mechanism approaches to that of harmonic excitation, when one considered the length of the shaft is sufficient larger than the radius of the crank. The nonlinear dynamic analyses focused on observation of different kinds of motion for different values of dimensionless parameters of the adopted mathematical model. These parameters, includes the frequency of excitation, the amplitude and the geometry of the crankshaft -slider mechanism. The adopted method of analyses used tools, such as, Lyapunov exponents, parameter space plots, basins of attractions, bifurcation diagrams, phase portraits, time histories and Poincaré sections. The kinds of motion include results on fixed point, oscillations, rotations, oscillations-rotations and chaotic motions.

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“…Such an interest is motivated by a recently proposed concept [9,11] for a Wave Energy Converter that would utilize the wave bobbing motion to provide the vertical excitation to the discussed parametric pendulum. The rotational response is much more preferable for generating electricity from oscillatory or chaotic motion because of the higher energy levels of the motion and the reliability of the device respectively.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of the Parametric Pendulum Under Filtered Random Phase Excitation

Alevras¹,

Yurchenko²,

Næss³

2014

Proceedings of the 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. The parametrically excited pendulum is a highly nonlinear system which has been thoroughly studied regarding the response's stability and the fundamental types of motion that could be established. The rotating potential of a pendulum having its suspension point vertically excited was numerically identified and the appropriate excitation characteristics were presented. In this paper, the excitation is modeled using the random phase modulation and the rotational motion is sought. The resulting stochastic system is analyzed by using a numerical Path Integration (PI) method solving the Chapman-Kolmogorov equation to construct parameter space plots. The Probability Density Function (PDF) is computed and the rotational regions are identified as well as the effect of noise intensity onto them. Previous studies have shown that for small values of noise intensity the stochastic response resembles the deterministic one. However numerical simulations showed that with increasing noise intensity the regions of rotational motion become narrower. In order to improve the system's response a linear singledegree-of-freedom (SDOF) system is intercepted to filter the noisy excitation, forming a base excited SDOF system acting on the pendulum suspension point. The interaction between the moving pendulum mass and the SDOF filter is investigated with the goal being for the former to establish rotational motion. 1272Panagiotis Alevras, Daniil Yurchenko and Arvid Naess

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Experimental Rotations of a Pendulum on Water Waves

Cited by 36 publications

References 21 publications

Rotating a pendulum with an electromechanical excitation

Rotating a pendulum with an electromechanical excitation

Statements on nonlinear dynamics behavior of a pendulum, excited by a crank-shaft-slider mechanism

Numerical Investigation of the Parametric Pendulum Under Filtered Random Phase Excitation

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