Surge response statistics of tension leg platforms under wind and wave loads: a statistical quadratization approach

Kareem, Ahsan; Zhao, Jun; Tognarelli, Michael A.

doi:10.1016/0266-8920(95)00018-6

Cited by 29 publications

(5 citation statements)

References 31 publications

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“…According to the linear wave theory, the current is modeled as an average current velocity U and a water-particle velocity u(t), which is modeled as a Gaussian random process with a given power spectral density S ( ) u ω . One specificity of this problem is that the typical shape of this spectral density is such that the center of gravity of the distribution α is usually much larger than the natural frequency ω of the linear unloaded oscillator [24]. Furthermore, commonly adopted power spectral densities such as the one resulting from the wave height in the Jonswap model [59] are negligible in the low-frequency range, precisely where the fundamental natural frequency of the linear unloaded oscillator is located.…”

Section: Problem 5: Response Of a Nonlinear Systemmentioning

confidence: 99%

“…limited to statistical order 2 or not, e.g. [11][12][13][14][15], (ii) the single degree-of-freedom (SDOF) and the multiple degree-of-freedom (MDOF) versions, the latter being well known for the second order [5,7] and theoretically established for higher order analysis [13,16], (iii) the steady-state response analysis, as in most common applications, but also with evolutionary stochastic analyses, a concept formalized by Priestley [17], but that still receives much interest [18], especially in seismic engineering [19,20] and (iv) although the concept of spectral analysis hinges on the underlying assumptions of linearity and of the superposition principle, both the stochastic linearization [21] (as well as its higher order generalizations [22][23][24]) and the Volterra series Contents lists available at ScienceDirect journal homepage: www.elsevier.com/locate/probengmech model [25][26][27] are interesting ways to extend its domain of applicability to systems with mild nonlinearities. In all these versions of the spectral analysis, a canonical form for the jth order spectrum of the response (or contribution thereof in the nonlinear case) is ( ) ( ) ( ) x ω respectively stand for the jth-order spectra of the loading and of the response.…”

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confidence: 99%

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Multiple timescale spectral analysis

Denoël

2015

Probabilistic Engineering Mechanics

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a b s t r a c tSpectral analysis is a classical tool for the structural analysis of structures subjected to random excitations. The most common application of spectral analysis is the determination of the steady-state second order cumulant of a linear oscillator, under the action of a stationary loading prescribed by means of its power spectral density. There exists however a broad variety of such similar problems, extending the concept to multi degree-of-freedom systems, non Gaussian excitation, slightly nonlinear oscillators or even transient excitations. In this wide class of problems, the cumulants of the response are obtained as the result of the integral of corresponding spectra over the frequency space, which is possibly multidimensional. Application of standard numerical integration techniques may be prohibitive, a reason why the spectral approach is often left aside. Besides, many engineering problems involve a clear timescale separation, usually of those pertaining to the loading and to the mechanical behavior of the system. In these problems, a proper consideration of the timescale separation results in dropping the order of integration by one, at least. This offers the possibility to derive analytical solutions, whenever the order of integration drops to zero, or to make numerical integration competitive. The paper presents this general method, together with some applications in wind and marine engineering.

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Section: Problem 5: Response Of a Nonlinear Systemmentioning

confidence: 99%

mentioning

confidence: 99%

Multiple timescale spectral analysis

Denoël

2015

Probabilistic Engineering Mechanics

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“…It is assumed that this process is zero-mean, stationary in time but possibly non Gaussian so that it is fully described by its spectra of various orders [14,24,25]. This assumption is justified as follows: (i) the case of a non-zero-mean process can be tackled similarly owing to the linearity of the problem and the superposition principle, (ii) stationarity in time is a common assumption for wind loads [4], wave and current loads [33], (iii) the non Gaussianity of the loading might arise from the nonlinear nature of the wind and wave loading processes [34,35].…”

Section: Second Order Stochastic Analysismentioning

confidence: 99%

A multiple timescale approach of bispectral correlation

Denoël

Marzino

Geuzaine

2023

Journal of Wind Engineering and Industrial Aerodynamics

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“…[175][176][177] presented spectral densities of the drag force on rigid structures. Attempts to assess the response to the non-linear drag force on compliant structures in the frequency domain have been done by [178][179][180][181], who employed the Volterra series expansion technique.…”

Section: Frequency-domain Analysismentioning

confidence: 99%

Decoupled Modelling Approaches for Environmental Interactions with Monopile-Based Offshore Wind Support Structures

2020

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To meet the political goals regarding renewable energy production, offshore wind keeps expanding to waters with larger depths and harsher conditions, while the turbine size continues to grow and ever-larger foundation structures are required. This development can only be successful if further cuts in the levelized cost of energy are established. Regarding the design of the foundation structures, a particular challenge in this respect relates to the reduction of the total computational time required for the design. For both practical and commercial reasons, the decoupled modelling of offshore wind support structures finds a common application, especially during the preliminary design stage. This modelling approach aims at capturing the relevant characteristics of the different environment-structure interactions, while reducing the complexity as much as possible. This paper presents a comprehensive review of the state-of-the-art modelling approaches of environmental interactions with offshore wind support structures. In this respect, the primary focus is on the monopile foundation, as this concept is expected to remain the prominent solution in the years to come. Current challenges in the field are identified, considering as well the engineering practice and the insights obtained from code comparison studies and experimental validations. It is concluded that the decoupled analysis provides valuable modelling perspectives, in particular for the preliminary design stage. In the further development of the different modelling strategies, however, the trade-off with computational costs should always be kept in mind.

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Surge response statistics of tension leg platforms under wind and wave loads: a statistical quadratization approach

Cited by 29 publications

References 31 publications

Multiple timescale spectral analysis

Multiple timescale spectral analysis

A multiple timescale approach of bispectral correlation

Decoupled Modelling Approaches for Environmental Interactions with Monopile-Based Offshore Wind Support Structures

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