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Structural Reliability Analysis with Python

Date: November 2017
Authors: Jürgen Hackl
Gabriele Bedon
Contact: [email protected]
Web site:https://github.com/gabrielebedon/pyre
Documentation:http://hackl.github.io/pyre/
Copyright: This document has been placed in the public domain.
License:PyRe is released under the GNU General Public Licence.
Version: 5.0.2

Note

This version is created on the basis of the original Pyre 5.0.2 code and modified to work with Python 3.x.

If you have any problems, found bugs in the code or have feature request comments or questions, please feel free to send a mail to Jürgen Hackl.

Purpose

PyRe (Python Reliability) is a python module for structural reliability analysis. Its flexibility and extensibility make it applicable to a large suite of problems. Along with core reliability analysis functionality, PyRe includes methods for summarizing output.

Note

At the moment First-Order Reliability Methods Crude Monte Carlo Simulation and Importance Sampling are supported! Second-Order Reliability Methods and some different sensitivity analysis will hopefully follow soon :)

History

The FERUM (Finite Element Reliability Using Matlab) project was initiated in 1999 at the University of California, Berkeley, by Terje Haukaas and Armen Der Kiureghian, primarily for pedagogical purposes aimed at teaching and learning structural reliability and stochastic finite elements methods. [DerKiureghian2006] This code consists of an open-source Matlab toolbox, featuring various structural reliability methods. The latest available version (version 3.1), which can be downloaded from FERUM. Since 2003, this code is no longer officially maintained. [Bourinet2010]

A new version of this open-source code (FERUM 4.x) based on a work carried out at the Institut Français de Mécanique Avancée (IFMA) in Clermont-Ferrand, France. This version offers improved capabilities such as simulation-based technique (Subset Simulation), Global Sensitivity Analysis (based on Sobol’s indices), Reliability-Based Design Optimization (RBDO) algorithm, Global Sensitivity Analysis and reliability assessment based on Support Vector Machine (SVM) surrogates, etc. Beyond the new methods implemented in this Matlab code. [Bourinet2009]

Of the purpose, to use structural reliability analysis for the project "Generic Framework for Stochastic Modeling of Reinforced Concrete Deterioration Caused by Corrosion" [Hackl2013] a python version of FERUM has been created.

The focus here lies on the reliability analysis and not more on the finite element method, so only the core function of FERUM are implemented.

Features

PyRe provides functionalities to make structural reliability analysis as easy as possible. Here is a short list of some of its features:

  • Perform reliability analysis with different kinds of Reliability Methods.
  • Perform reliability analysis with Crude Monte Carlo Simulation.
  • Includes a large suite of well-documented statistical distributions.
  • Uses NumPy for numerics wherever possible.
  • No limitation on the limit state function.
  • Correlation between the random variables are possible.
  • Traces can be saved to the disk as plain text.
  • PyRe can be embedded in larger programs, and results can be analyzed with the full power of Python.

Getting started

This Documentation provides all the information needed to install PyRe, code a reliability model, run the sampler, save and visualize the results. In addition, it contains a list of the statistical distributions currently available.

List of References

[Bourinet2009] J.-M. Bourinet, C. Mattrand, and V Dubourg. A review of recent features and improvements added to FERUM software. In Proc. of the 10th International Conference on Structural Safety and Reliability (ICOSSAR’09), Osaka, Japan, 2009.

[Bourinet2010] J.-M. Bourinet. FERUM 4.1 User’s Guide, 2010.

[DerKiureghian2006] A. Der Kiureghian, T. Haukaas, and K. Fujimura. Structural reliability software at the University of California, Berkeley. Structural Safety, 28(1-2):44–67, 2006.

[Hackl2013] J. Hackl. Generic Framework for Stochastic Modeling of Reinforced Concrete Deterioration Caused by Corrosion. Master’s thesis, Norwegian University of Science and Technology, Trondheim, Norway, 2013.

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