SORM {TesiproV}

Reliability Analysis at Biberach University of applied sciences

Description

# S. Marelli, and B. Sudret, UQLab: A framework for uncertainty quantification in Matlab, Proc. 2nd Int. Conf. on Vulnerability, Risk Analysis and Management (ICVRAM2014), Liverpool (United Kingdom), 2014, 2554-2563. S. Lacaze and S. Missoum, CODES: A Toolbox For Computational Design, Version 1.0, 2015, URL: www.codes.arizona.edu/toolbox. X. Z. Wu, Implementing statistical fitting and reliability analysis for geotechnical engineering problems in R. Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards, 2017, 11.2: 173-188.

Usage

SORM(lsf, lDistr, debug.level = 0)

Arguments

lsf

objective function with limit state function in form of function(x) x[1]+x[2]...

lDistr

list ob distribiutions regarding the distribution object of TesiproV

debug.level

If 0 no additional info if 2 high output during calculation

Value

The results will be provided within a list with the following objects. Acess them with "$"-accessor

beta ... HasoferLind Beta Index

pf ... probablity of failure

u_points ... solution points

dy ... gradients

Author(s)

(C) 2021 - T. Feiri, K. Nille-Hauf, M. Ricker - Hochschule Biberach, Institut fuer Konstruktiven Ingenieurbau

References

Breitung, K. (1989). Asymptotic approximations for probability integrals. Probabilistic Engineering Mechanics 4(4), 187–190. 9, 10

Cai, G. Q. and I. Elishakoff (1994). Refined second-order reliability analysis. Structural Safety 14(4), 267–276. 9, 10

Hohenbichler, M., S. Gollwitzer, W. Kruse, and R. Rackwitz (1987). New light on first- and second order reliability methods. Structural Safety 4, 267–284. 10

Tvedt, L. (1990). Distribution of quadratic forms in normal space – Applications to structural reliability. Journal of Engineering Mechanics 116(6), 1183–1197. 10