A multi-fidelity boundary element method for structural reliability analysis with higher-order sensitivities

Morse, Llewellyn; Khodaei, Zahra Sharif; Aliabadi, M.H.

doi:10.1016/j.enganabound.2019.03.036

Cited by 10 publications

(15 citation statements)

References 29 publications

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“…In this subsection, fatigue assessment is provided by a theoretical analysis, that is, according to the literature 36,37,47,64,65 and procedures given in design standard BS7910 51 for offshore structures with tubular joints, as described in Section 2.2. Based on the current SMART© analysis results, comparisons of the fatigue crack growth rate and cycle number for allowable crack growth have been made for validation.…”

Section: Resultsmentioning

confidence: 99%

“…The FEA model built earlier is employed to perform a number of FEA simulations on the plate by adopting the use of the ANSYS DoE package. The DoE used in this study is the Latin hypercube sampling design method 46,47 . Further information on the theoretical background on the ANSYS DesignXplorer can be found in other studies 6,67,68 .…”

Section: Methodsmentioning

confidence: 99%

“…The FORM is widely used because it offers a good balance between accuracy and efficiency for realistic problems. A limitation of the direct simulation method is in its requirement for prohibitively large amount of simulations to estimate the very low values of probability of failure (POF) characterized by complex engineering systems such as offshore structures 6,46,47 …”

Section: Methodsmentioning

confidence: 99%

“…Recent works on structural reliability with respect to fracture where a new methodology for the statistical inference of the equivalent initial flaw size distribution (EIFSD) using dual boundary element method was proposed in other studies. 46,47 To the best of the authors' knowledge, the work presented herein, in this study, is the first of its kind where the SRA of a steel OWT support structure subjected to pitting corrosion‐fatigue is performed by applying a new approach to damage tolerance modelling methodology. In this study, in order to accurately predict the pit‐to‐crack transition behaviour, a stochastic parametric FEA model was built and incorporated with FORM for approximating time‐variant reliability levels of the structure via ANN.…”

Section: Introductionmentioning

confidence: 99%

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Structural reliability assessment of offshore wind turbine support structures subjected to pitting corrosion‐fatigue: A damage tolerance modelling approach

et al. 2020

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The structural integrity of offshore wind turbine (OWT) support structures is affected by one of the most severe damage mechanisms known as pitting corrosion-fatigue. In this study, the structural reliability of such structures subjected to pitting corrosion-fatigue is assessed using a damage tolerance modelling approach. A probabilistic model that ascertains the reliability of the structure is presented, incorporating the randomness in cyclic load and corrosive environment as well as uncertainties in shape factor, pit size and aspect ratio. A non-intrusive formulation is proposed consisting of a sequence of steps. First, a stochastic parametric Finite Element Analysis (FEA) is performed using SMART© crack growth and Design Xplorer© facilities within the software package ANSYS. Secondly, the results obtained from the FEA are processed using an Artificial Neural Network (ANN) response surface modelling technique. Finally, the First Order Reliability Method (FORM) is used to calculate the reliability indices of components. The results reveal that for the inherent stochastic conditions, the structure becomes unsafe after the 18th year, before the attainment of the design life of 20 years. The FEA results are in very good agreement with results obtained from analysis steps outlined in design standard BS 7910 and other references designated as 'theoretical analysis methods' in this study. The results predict, for the case study, that the pit growth life is approximately 56% of the total pitting corrosion fatigue life. Sensitivity analysis results show that the aspect ratio of pits at critical size plays a significant role on the reliability of the structure.

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Section: Resultsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Structural reliability assessment of offshore wind turbine support structures subjected to pitting corrosion‐fatigue: A damage tolerance modelling approach

et al. 2020

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“…Since an IDM does not require the use of a step size, it is significantly more robust than the FDM, and can provide sensitivities that are much more accurate and reliable. Past examples of the use of BEM-based IDMs includes [25,26,27].…”

Section: Introductionmentioning

confidence: 99%

A dual boundary element based implicit differentiation method for determining stress intensity factor sensitivities for plate bending problems

Morse

Khodaei

Aliabadi

2019

Engineering Analysis with Boundary Elements

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Manufacturing cost and reliability‐based shape optimization of plate structures

Morse

Mallardo

Aliabadi

2022

Numerical Meth Engineering

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A novel methodology is presented for the manufacturing cost and reliability-based optimization of plate structures with the boundary element method (BEM), with the aim of improving the accuracy, robustness, and efficiency of the optimization of aircraft structures. The BEM plate formulations with respect to plate thickness are derived for the first time, and used as part of an implicit differentiation method (IDM), enabling the full shape optimization of plate structures with the BEM. These implicit derivatives are validated against derivatives obtained from the finite difference method (FDM) and from an analytical solution. Results indicate that the IDM is more robust than the FDM and in excellent agreement with the analytical solution, and more accurate than the FDM for most of the step-sizes investigated. To demonstrate the full shape optimization of plates with the newly developed IDM, a numerical example involving reliability-based design optimization and manufacturing cost optimization is presented for a plate structure. Results show that the newly developed IDM is more efficient than the FDM when performing this optimization.

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A multi-fidelity boundary element method for structural reliability analysis with higher-order sensitivities

Cited by 10 publications

References 29 publications

Structural reliability assessment of offshore wind turbine support structures subjected to pitting corrosion‐fatigue: A damage tolerance modelling approach

Structural reliability assessment of offshore wind turbine support structures subjected to pitting corrosion‐fatigue: A damage tolerance modelling approach

A dual boundary element based implicit differentiation method for determining stress intensity factor sensitivities for plate bending problems

Manufacturing cost and reliability‐based shape optimization of plate structures

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