– structural reliability

Reliability Analysis with Strurel

Wolfgang Betz, Iason Papaioannou, Holger Heidkamp,

Stephan Gollwitzer, Daniel Straub

June 15, UNCECOMP 2017, Rhodes Island, Greece

Structure of the presentation …

… follows workflow of a reliability analysis

Reliability analysis – Overview

What type of problem do we need to solve?

Uncertain parameters of the model – probabilistic model

normal

lognormal

exponential

gammabeta

gumbel (max)

frechet (max)

weibull (min)

shifted lognormal

rectangular

rayleigh

standard student t

trapezoid

frechet (min)

gumbel (min)

inverse gaussbirnbaum/saunders

weibull (max)

halfnormal

logistic

laplace

pareto

chi-square

4-para. lognormal

hermite

nevillestudent

fisher fshifted gamma

cauchy

Rosenblatt

Nataf

Hermite

Computational model & limit-state function

C / C++

Fortrang(x)

Example: Limit-state function in Matlab

What is our target of interest?

𝒑𝒇 = 𝐏𝐫 𝑭𝒂𝒊𝒍𝒖𝒓𝒆sensitivities

safety factors

𝜸𝑬, 𝜸𝑸, 𝜸𝒇, 𝜸𝑹

Select a reliability method

Monte Carlo Line sampling

Directional sampling

Subset simulation

FORM / SORM

Importance samplingAdaptive sampling

Mean value frist order

Example: Reliability based optimization

Kernel of Strurel is embedded in external applications

is …

Software for reliability analysis

User-friendly

Reliable & Robust

Technically strong

Expandable

Linkable

Thank you for your attention !

www.strurel.com