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Extreme value analysis (EVA) uses data to estimate long-term extreme environmental conditions for variables such as significant wave height and period, for the design of marine structures. Together with models for the short-term evolution…

Methodology · Statistics 2024-07-30 Matthew Speers , David Randell , Jonathan Angus Tawn , Philip Jonathan

The probabilistic design of offshore wind turbines aims to ensure structural safety in a cost-effective way. This involves conducting structural reliability assessments for different design options and considering different structural…

Applications · Statistics 2024-08-06 Hong Wang , Odin Gramstad , Styfen Schär , Stefano Marelli , Erik Vanem

Wave impact loads on maritime structures can cause casualties, damage, pollution and operational delays. Consequently, their extreme values should be accounted for in the design of these structures. However, this is challenging, as wave…

Applications · Statistics 2026-04-23 Sanne M. van Essen , Harleigh C. Seyffert

Extreme response assessment is important in the design and operation of engineering structures, and is a crucial part of structural risk and reliability analyses. Structures should be designed in a way that enables them to withstand the…

Computation · Statistics 2025-03-04 Sebastian Winter , Christian Agrell , Juan Camilo Guevara Gómez , Erik Vanem

This study introduces the long-range Ising model from statistical mechanics to the Performance-Based Earthquake Engineering (PBEE) framework for regional seismic damage analysis. The application of the PBEE framework at a regional scale…

Applications · Statistics 2024-05-24 Sebin Oh , Sang-ri Yi , Ziqi Wang

Environmental contours are tools frequently used in the early design of marine structures. They provide a description of critical design conditions and serve as a means for simplifying expensive long-term response calculations. Here, we…

Probability · Mathematics 2023-09-04 Åsmund Hausken Sande

Understanding extreme ocean environments and their interaction with fixed and floating structures is critical for the design of offshore and coastal facilities. The joint effect of various ocean variables on extreme responses of offshore…

Applications · Statistics 2012-11-07 Kevin Ewans , Philip Jonathan

An offshore wind turbine needs to withstand the environmental loads, which can be expected during its life time. Consequently, designers must define loads based on extreme environmental conditions to verify structural integrity. The…

Methodology · Statistics 2017-10-20 Andreas F. Haselsteiner , Jan-Hendrik Ohlendorf , Klaus-Dieter Thoben

A seismic fragility curve expresses the probability of failure of a structure conditional to an intensity measure (IM) derived from seismic signals. When only limited data is available, the practitioner often refers to the probit-lognormal…

Applications · Statistics 2025-12-17 Antoine Van Biesbroeck , Clément Gauchy , Cyril Feau , Josselin Garnier

We propose an algorithm for an optimal adaptive selection of points from the design domain of input random variables that are needed for an accurate estimation of failure probability and the determination of the boundary between safe and…

Computational Engineering, Finance, and Science · Computer Science 2023-06-30 Aleksei Gerasimov , Miroslav Vořechovský

We consider an input-to-response (ItR) system characterized by (1) parameterized input with a known probability distribution and (2) stochastic ItR function with heteroscedastic randomness. Our purpose is to efficiently quantify the extreme…

Methodology · Statistics 2022-05-18 Xianliang Gong , Yulin Pan

The uncertainties in material and other properties of structures are usually spatially correlated. We introduce an efficient technique for representing and processing spatially correlated random fields in robust topology optimisation of…

Numerical Analysis · Mathematics 2023-12-27 Ismael Ben-Yelun , Ahmet Oguzhan Yuksel , Fehmi Cirak

In this paper, we propose ISDE (Independence Structure Density Estimation), an algorithm designed to estimate a multivariate density under Kullback-Leibler loss and the Independence Structure (IS) model. IS tackles the curse of…

Machine Learning · Computer Science 2022-05-06 Louis Pujol

We develop an efficient numerical method for the probabilistic quantification of the response statistics of nonlinear multi-degree-of-freedom structural systems under extreme forcing events, emphasizing accurate heavy-tail statistics. The…

Computational Engineering, Finance, and Science · Computer Science 2017-06-05 Han Kyul Joo , Mustafa A. Mohamad , Themistoklis P. Sapsis

Many practical machine learning tasks can be framed as Structured prediction problems, where several output variables are predicted and considered interdependent. Recent theoretical advances in structured prediction have focused on…

Machine Learning · Computer Science 2020-12-22 Théophile Cantelobre , Benjamin Guedj , María Pérez-Ortiz , John Shawe-Taylor

Near real-time damage diagnosis of building structures after extreme events (e.g., earthquakes) is of great importance in structural health monitoring. Unlike conventional methods that are usually time-consuming and require human expertise,…

Signal Processing · Electrical Eng. & Systems 2019-10-25 Seyed Omid Sajedi , Xiao Liang

Environmental contours are used in structural reliability analysis of marine and coastal structures as an approximate means to locate the boundary of the distribution of environmental variables, and hence sets of environmental conditions…

This paper studied a robust concurrent topology optimization (RCTO) approach to design the structure and its composite materials simultaneously. For the first time, the material uncertainty with imprecise probability is integrated into the…

Computational Engineering, Finance, and Science · Computer Science 2020-03-10 Y. Wu , Eric Li , Z. C. He , X. Y. Lin , H. X. Jiang

Partial differential equation (PDE) models are widely used in engineering and natural sciences to describe spatio-temporal processes. The parameters of the considered processes are often unknown and have to be estimated from experimental…

Numerical Analysis · Mathematics 2016-12-21 Romana Boiger , Jan Hasenauer , Sabrina Hross , Barbara Kaltenbacher

A probabilistic approach to phase-field brittle and ductile fracture with random material and geometric properties is proposed within this work. In the macroscopic failure mechanics, materials properties and exactness of spatial quantities…

Numerical Analysis · Mathematics 2022-08-10 Nima Noii , Amirreza Khodadadian , Fadi Aldakheel
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