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Reliability Assessment and Probabilistic Optimization in Structural DesignPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2016 (English)Doctoral thesis, comprehensive summary (Other academic)
##### Abstract [en]

##### Place, publisher, year, edition, pages

Stockholm: KTH Royal Institute of Technology, 2016. , x, 23 p.
##### Series

TRITA-HFL. Report / Royal Institute of Technology, Solid Mechanics, ISSN 1654-1472 ; 0594
##### Keyword [en]

Reliability-based design optimization (RBDO), First- and Second-Order Reliability Method (FORM and SORM), Response Surface Single Loop (RSSL), Probability of failure, Reliability Assessment, Probability of fatigue failure
##### National Category

Applied Mechanics
##### Research subject

Solid Mechanics
##### Identifiers

URN: urn:nbn:se:kth:diva-183572ISBN: 978-91-7595-908-5 (print)OAI: oai:DiVA.org:kth-183572DiVA: diva2:912612
##### Public defence

2016-04-06, Sal F3, Lindstedtsvägen 26, KTH, Stockholm, 10:15 (English)
##### Opponent

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##### Supervisors

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#####

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##### Note

##### List of papers

Research in the field of reliability based design is mainly focused on two sub-areas: The computation of the probability of failure and its integration in the reliability based design optimization (RBDO) loop. Four papers are presented in this work, representing a contribution to both sub-areas. In the first paper, a new Second Order Reliability Method (SORM) is presented. As opposed to the most commonly used SORMs, the presented approach is not limited to hyper-parabolic approximation of the performance function at the Most Probable Point (MPP) of failure. Instead, a full quadratic fit is used leading to a better approximation of the real performance function and therefore more accurate values of the probability of failure. The second paper focuses on the integration of the expression for the probability of failure for general quadratic function, presented in the first paper, in RBDO. One important feature of the proposed approach is that it does not involve locating the MPP. In the third paper, the expressions for the probability of failure based on general quadratic limit-state functions presented in the first paper are applied for the special case of a hyper-parabola. The expression is reformulated and simplified so that the probability of failure is only a function of three statistical measures: the Cornell reliability index, the skewness and the kurtosis of the hyper-parabola. These statistical measures are functions of the First-Order Reliability Index and the curvatures at the MPP. In the last paper, an approximate and efficient reliability method is proposed. Focus is on computational efficiency as well as intuitiveness for practicing engineers, especially regarding probabilistic fatigue problems where volume methods are used. The number of function evaluations to compute the probability of failure of the design under different types of uncertainties is a priori known to be 3n+2 in the proposed method, where n is the number of stochastic design variables.

QC 20160317

Available from: 2016-03-17 Created: 2016-03-17 Last updated: 2016-03-29Bibliographically approved1. A Closed-Form Second-Order Reliability Method Using Noncentral Chi-Squared Distributions$(function(){PrimeFaces.cw("OverlayPanel","overlay754102",{id:"formSmash:j_idt512:0:j_idt516",widgetVar:"overlay754102",target:"formSmash:j_idt512:0:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

2. Response surface single loop reliability-based design optimization with higher order reliability assessment$(function(){PrimeFaces.cw("OverlayPanel","overlay912595",{id:"formSmash:j_idt512:1:j_idt516",widgetVar:"overlay912595",target:"formSmash:j_idt512:1:partsLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

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