Computationally efficient modelling of dynamic soil–structure interaction of offshore wind turbines on gravity footings

Damgaard, Mads; Andersen, Lars Vabbersgaard; Ibsen, Lars Bo

doi:10.1016/j.renene.2014.02.008

Cited by 21 publications

(15 citation statements)

References 30 publications

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“…Let Z a r 0 ( ) be the impedance coefficient from the semi-analytical approach, the regular part Z a The remaining M N 2 − roots of Q a i 0 ( ) are real. According to Damgaard et al [34], pairs of complex conjugate roots provide a consistent LPM with the fewest possible internal DOFs for a given order M and will therefore be used in this paper. The optimal polynomial coefficients p k and complex roots s m , m N M 1, 2, , 2 = … = , follow from the object function given by…”

Section: Discrete-element Representation Of Soil-pile Interactionmentioning

confidence: 99%

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A probabilistic analysis of the dynamic response of monopile foundations: Soil variability and its consequences

Damgaard

Andersen

Ibsen

et al. 2015

Probabilistic Engineering Mechanics

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Section: Discrete-element Representation Of Soil-pile Interactionmentioning

confidence: 99%

“…The coupling is achieved using the Lagrange Multiplier method [36]. The reader is referred to [34] for further information.…”

Section: Coupling Between Wind Turbine and Foundation Modelmentioning

confidence: 99%

A probabilistic analysis of the dynamic response of monopile foundations: Soil variability and its consequences

Damgaard

Andersen

Ibsen

et al. 2015

Probabilistic Engineering Mechanics

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“…The regular part goes to unity in the static limit and vanishes (goes to zero) at the high-frequency limit, since the numerator polynomial P(iω) is of lower order than the denominator polynomial Q(iω). As described in the work by Andersen [22] and co-workers [23], a weighted least-squares approach can be applied to fit an optimal rational approximation, thus providing the coefficients of the polynomials P and Q, subject to the additional condition that the real part of all poles must be negative to avoid singularities of the rational approximation at positive frequencies. Whereas Wolf [10,11] proposed to increase the weight at low frequencies by a factor of, for example, 1000, Andersen [22] suggested the weight function…”

Section: Consistent Lumped-parameter Models Of the Monopile Cap Responsementioning

confidence: 99%

Model Uncertainties for Soil-Structure Interaction in Offshore Wind Turbine Monopile Foundations

Andersen

Manuel

2018

JMSE

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Monopiles are the most common type of foundation used for bottom-fixed offshore wind turbines. This investigation concerns the influence of uncertainty related to soil–structure interaction models used to represent monopile–soil systems. The system response is studied for a severe sea state. Three wave-load cases are considered: (i) irregular waves assuming linearity; (ii) highly nonlinear waves that are merged into the irregular wave train; (iii) slamming loads that are included for the nonlinear waves. The extreme response and Fourier amplitude spectra for external moments and mudline bending moments are compared for these load cases where a simpler static pile-cap stiffness and a lumped-parameter model (LPM) are both considered. The fundamental frequency response of the system is well represented by the static pile-cap stiffness model; however, the influence of higher modes (i.e., the second and third modes with frequencies of about 1 Hz and 2 Hz, respectively) is significantly overestimated with the static model compared to the LPM. In the analyzed case, the differences in the higher modes are especially pronounced when slamming loads are not present.

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“…They also have the advantage that they can be incorporated into standard FE/BE routines for soil-structure interaction, allowing nonlinear parameters to be readily included in the structure. Damgaard et al [19,20] applied this approach to study the dynamic soil-structure interaction of offshore wind turbines on gravity footings and monopiles.…”

Section: Introductionmentioning

confidence: 99%

A mixed space-time and wavenumber-frequency domain procedure for modelling ground vibration from surface railway tracks

Koroma

Thompson

Hussein

et al. 2017

Journal of Sound and Vibration

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This paper presents a methodology for studying ground vibration in which the railway track is modelled in the space-time domain using the finite element method (FEM) and, for faster computation, discretisation of the ground using either FEM or the boundary element method (BEM) is avoided by modelling it in the wavenumber-frequency domain. The railway track is coupled to the ground through a series of rectangular strips located at the surface of the ground; their vertical interaction is described by a frequency-dependent dynamic stiffness matrix whose elements are represented by discrete lumped parameter models. The effectiveness of this approach is assessed firstly through frequency domain analysis using as excitation a stationary harmonic load applied on the rail. The interaction forces at the ballast/ground interface are calculated using the FE track through-ground coupling in the lumped parameter model, which has been found to be necessary for both track dynamics and ground vibration predictions.

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Computationally efficient modelling of dynamic soil–structure interaction of offshore wind turbines on gravity footings

Cited by 21 publications

References 30 publications

A probabilistic analysis of the dynamic response of monopile foundations: Soil variability and its consequences

A probabilistic analysis of the dynamic response of monopile foundations: Soil variability and its consequences

Model Uncertainties for Soil-Structure Interaction in Offshore Wind Turbine Monopile Foundations

A mixed space-time and wavenumber-frequency domain procedure for modelling ground vibration from surface railway tracks

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