A collocation method for bending, torsional and axial vibrations of offshore wind turbines on monopile foundations

Júnior, Cícero Vitor Chaves; Araújo, Rafael Campos de Alencar; Souza, Camilla Mahon Campello de; Ferreira, Augusto César Albuquerque; Ribeiro, Paulo Marcelo Vieira

doi:10.1016/j.oceaneng.2020.107735

Cited by 10 publications

(4 citation statements)

References 35 publications

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“…Several articles formulate an analytical or semi-analytical solution to describe the dynamic behavior of monopile OWT [3,[7][8][9][10][11] and onshore wind turbine [12]. By a structural dynamic approach, soilstructure modeling is done often by (i) discrete spring, (ii) apparent fixity method, and (iii) distributive springs (for instance, API p-y curves) [8,13,14], but there are other more complex approaches [15]. The principal uncertainty of monopile OWT is the soil-structure modeling, due to its complexity [16], the scale difference of maritime piles [17], or the soil response to dynamic/cyclic loads [18].…”

Section: Introductionmentioning

confidence: 99%

Optimal design of pendulum-tuned mass damper for the vibration control of offshore wind turbines with a flexible monopile foundation

Colherinhas,

Petrini,

de Morais

2024

J. Phys.: Conf. Ser.

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This paper presents an optimal design of a passive-adaptive Pendulum-Tuned Mass Damper (PTMD) to mitigate the structural vibrations of an Offshore Wind Turbine (OWT) with a flexible monopile foundation considering the Pile-Soil Interaction (PSI). The OWT is based on the 5-MW baseline proposed by the National Renewable Energy Lab. The PSI is designed by a pile modeled as beam-column elements supported by nonlinear springs for lateral loads (p-y curves) and axial loads (t-z and Q-z curves), applied at the nodal points between the elements. The estimation of wind and wave spectra, as well as the hydrodynamic and aerodynamic loads, are conducted by using an in-house built MATLAB® routine working together with an ANSYS® 3-D finite element global model for evaluating the resultant peak displacement response at the OWT hub by a power spectral density analysis. Optimum design cases of PTMD parameters are obtained by a parametric analysis evaluating the dynamic response along and across directions at the hub and the resultant stress at the base of the tower. These responses and stress are evaluated as a function of the wind velocity at the hub.

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Section: Introductionmentioning

confidence: 99%

Optimal design of pendulum-tuned mass damper for the vibration control of offshore wind turbines with a flexible monopile foundation

Colherinhas,

Petrini,

de Morais

2024

J. Phys.: Conf. Ser.

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“…A similar approach was followed by Kundhu and Ganguli, 22 who applied the Lie symmetry method to the governing equation of an inhomogeneous beam with non-uniform axial loads for the purpose of determining which load distributions result in closed-from solutions. Finally, Chavez-Junior et al 23 studied wind turbines in an offshore environment under all three response modes (bending, compression, torsion) to environmentally induced loads. The wind turbine was modelled as variable cross-section tower with the turbine mass at the top, coupled to a support structure at the base that was embedded in the seafloor.…”

Section: Introductionmentioning

confidence: 99%

Vibrations of flexible pylons with time‐dependent mass attachments under ground induced motions

Manolis

Dadoulis

2021

Earthq Engng Struct Dyn

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This work examines how mass attachments that vary with time influence the motion of flexible pylons undergoing ground-induced vibrations. Specifically, an analytical solution is derived for a time-dependent, lumped mass attachment placed at the top of a cantilevered pylon undergoing time-harmonic longitudinal vibrations. At first, the solution to the governing equation of motion entails the recovery of the eigenvalue problem in the presence of a fixed mass. This is then followed by a generalization of this solution to allow for mass variability with time. It is noted that modal analysis no longer yields an uncoupled system of equations for the generalized coordinates, this necessitating a second step modal analysis, which is complicated by the fact that the system matrices are now time dependent. Results are presented in terms of time histories and frequency plots for the pylon displacement amplitude at the top, resulting from harmonic base motion of unit amplitude. The aim is to identify the frequency range over which the presence of a time-varying mass is either beneficial or detrimental in minimizing the pylon's kinematic response. Since the rate of change of the mass can be either positive or negative, the special cases of constant mass and of no mass can be recovered from the solution. Finally, this methodology can be generalized to include transverse and rotational vibrations of flexible pylons.

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“…The literature is rich in the solution of continuous beams under dynamic loads [5], but research interest remains strong, because these elements play a pivotal role in structural engineering (e.g., column elements) and in mechanical engineering (e.g., blades). In the interest of brevity, we simply mention here a recent paper [6] on an exhaustive analysis of wind turbines in an offshore environment under all three response modes (bending, compression, torsion) to a variety of environmentally-induced loads. From our perspective, the field of application of this work, which is continuation of a previous publication [4], is structural health monitoring (SHM).…”

Section: Introductionmentioning

confidence: 99%

Passive Control Issues on the Longitudinal and Transverse Vibrations of Flexible Pylons

Manolis¹,

Dadoulis²

2021

Proceedings of the 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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The influence of passive mass dampers and base isolators on the vibratory motion of flexible beams with uniform cross-section, viewed as a special case of the non-uniform one, is examined herein for both axial and flexural vibrations. Use of such beams is widespread, both in a mechanical engineering setup (e.g., wind turbines, aircraft blades) as well as in a civil engineering setup (e.g. pylons, antennas). We start with an analytical solution to the governing equations of motion to recover the eigenproperties of a cantilevered pylon in the presence of a top mass and base springs. This is followed by the complete solution for the case of harmonic ground motion using modal analysis. Results are finally presented in term of transmissibility functions, defined as the ratio of the top pylon displacement amplitude to that of the base motion, so as to identify the frequency range where the presence of these external control devices is beneficial.

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A collocation method for bending, torsional and axial vibrations of offshore wind turbines on monopile foundations

Cited by 10 publications

References 35 publications

Optimal design of pendulum-tuned mass damper for the vibration control of offshore wind turbines with a flexible monopile foundation

Optimal design of pendulum-tuned mass damper for the vibration control of offshore wind turbines with a flexible monopile foundation

Vibrations of flexible pylons with time‐dependent mass attachments under ground induced motions

Passive Control Issues on the Longitudinal and Transverse Vibrations of Flexible Pylons

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