Dynamics of a parametric rotating pendulum under a realistic wave profile

Andreeva, Tatiana; Alevras, Panagiotis; Næss, Arvid; Yurchenko, Daniil

doi:10.1007/s40435-015-0168-z

Cited by 19 publications

(7 citation statements)

References 15 publications

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“…The work in [48][49][50][51][52][53][54] considers a mass-modulation scheme to promote time-varying inertia in two-body heaving point absorber WECs, which operates using flaps to capture additional water mass inside one of the bodies for one direction of the heave oscillation and not the other. A large body of work [55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74] has considered the parametric excitation of a pendulum on a heaving point absorber.…”

Section: Parametric Resonance In Heaving Wave Energy Convertersmentioning

confidence: 99%

Modelling of Parametric Resonance for Heaving Buoys with Position-Varying Waterplane Area

Lelkes

Davidson

Kalmár‐Nagy

2021

JMSE

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Exploiting parametric resonance may enable increased performance for wave energy converters (WECs). By designing the geometry of a heaving WEC, it is possible to introduce a heave-to-heave Mathieu instability that can trigger parametric resonance. To evaluate the potential of such a WEC, a mathematical model is introduced in this paper for a heaving buoy with a non-constant waterplane area in monochromatic waves. The efficacy of the model in capturing parametric resonance is verified by a comparison against the results from a nonlinear Froude–Krylov force model, which numerically calculates the forces on the buoy based on the evolving wetted surface area. The introduced model is more than 1000 times faster than the nonlinear Froude–Krylov force model and also provides the significant benefit of enabling analytical investigation techniques to be utilised.

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Section: Parametric Resonance In Heaving Wave Energy Convertersmentioning

confidence: 99%

Modelling of Parametric Resonance for Heaving Buoys with Position-Varying Waterplane Area

Lelkes

Davidson

Kalmár‐Nagy

2021

JMSE

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“…However, as discussed in Sect. 2, several simplifications are needed to fit the model of (12) into the equation in (2). Let us consider the uncoupled roll DoF and neglect nonlinearities due to the excitation force, kinematics, PTO and mooring systems.…”

Section: Resultsmentioning

confidence: 99%

“…Ref. [2] studies more realistic non-sinusoidal wave profiles, still inducing instability into the system, while [44] discusses how the instability regions become wider as the noise intensity increases, while tongues of instability domains rise up. This is consistent with experimental observation [23] and numerical modeling [20] of a WEC prototype.…”

Section: Resultsmentioning

confidence: 99%

Numerical investigation of parametric resonance due to hydrodynamic coupling in a realistic wave energy converter

et al. 2020

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Representative models of the nonlinear behavior of floating platforms are essential for their successful design, especially in the emerging field of wave energy conversion where nonlinear dynamics can have substantially detrimental effects on the converter efficiency. The spar buoy, commonly used for deepwater drilling, oil and natural gas extraction and storage, as well as offshore wind and wave energy generation, is known to be prone to experience parametric resonance. In the vast majority of cases, parametric resonance is studied by means of simplified analytical models, considering only two degrees of freedom (DoFs) of archetypical geometries, while neglecting collateral complexity of ancillary systems. On the contrary, this paper implements a representative 7-DoF nonlinear hydrodynamic model of the full complexity of a realistic spar buoy wave energy converter, which is used to verify the likelihood of parametric instability, quantify the severity of the parametrically excited

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“…Stochastic dynamics of a rotating pendulum is investigated in Andreeva et al (2015). The assumptions were based on a realistic wave profile acting on the parametric pendulum.…”

Section: Introductionmentioning

confidence: 99%