A one-dimensional transformation method for reliability analysis

S. Kadry; A. Chateauneuf; K. El-Tawil

A one-dimensional transformation method for reliability analysis

S. Kadry
, A. Chateauneuf
, K. El-Tawil

LaMI, UBP, IFMA
Lebanese University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, a proposed technique is presented in order to evaluate the stochastic mechanical response. This technique is based on the combination of the probabilistic transformation methods and the deterministic finite element method (FEM). The transformation technique evaluates the Probability Density Function (PDF) of the system output by multiplying the input PDF by the Jacobean of the inverse mechanical function. This approach has the advantage of giving directly the whole density function of the response -in closed form-, which is very helpful for reliability analysis (probability of failure...).

Original language	English
Title of host publication	Proceedings of the 8th International Conference on Computational Structures Technology, CST 2006
Publisher	Civil-Comp Press
Volume	83
ISBN (Print)	9781905088089
State	Published - 2006
Externally published	Yes
Event	8th International Conference on Computational Structures Technology, CST 2006 - Las Palmas de Gran Canaria, Spain Duration: 12 Sep 2006 → 15 Sep 2006

Conference

Conference	8th International Conference on Computational Structures Technology, CST 2006
Country/Territory	Spain
City	Las Palmas de Gran Canaria
Period	12/09/06 → 15/09/06

Keywords

FORM
Finite element method
Probabilistic methods
Reliability analysis
Sampling
Sensitivity
Simulation
Transformation method

Cite this

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title = "A one-dimensional transformation method for reliability analysis",

abstract = "In this paper, a proposed technique is presented in order to evaluate the stochastic mechanical response. This technique is based on the combination of the probabilistic transformation methods and the deterministic finite element method (FEM). The transformation technique evaluates the Probability Density Function (PDF) of the system output by multiplying the input PDF by the Jacobean of the inverse mechanical function. This approach has the advantage of giving directly the whole density function of the response -in closed form-, which is very helpful for reliability analysis (probability of failure...).",

keywords = "FORM, Finite element method, Probabilistic methods, Reliability analysis, Sampling, Sensitivity, Simulation, Transformation method",

author = "S. Kadry and A. Chateauneuf and K. El-Tawil",

year = "2006",

language = "English",

isbn = "9781905088089",

volume = "83",

booktitle = "Proceedings of the 8th International Conference on Computational Structures Technology, CST 2006",

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note = "8th International Conference on Computational Structures Technology, CST 2006 ; Conference date: 12-09-2006 Through 15-09-2006",

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TY - GEN

T1 - A one-dimensional transformation method for reliability analysis

AU - Kadry, S.

AU - Chateauneuf, A.

AU - El-Tawil, K.

PY - 2006

Y1 - 2006

N2 - In this paper, a proposed technique is presented in order to evaluate the stochastic mechanical response. This technique is based on the combination of the probabilistic transformation methods and the deterministic finite element method (FEM). The transformation technique evaluates the Probability Density Function (PDF) of the system output by multiplying the input PDF by the Jacobean of the inverse mechanical function. This approach has the advantage of giving directly the whole density function of the response -in closed form-, which is very helpful for reliability analysis (probability of failure...).

AB - In this paper, a proposed technique is presented in order to evaluate the stochastic mechanical response. This technique is based on the combination of the probabilistic transformation methods and the deterministic finite element method (FEM). The transformation technique evaluates the Probability Density Function (PDF) of the system output by multiplying the input PDF by the Jacobean of the inverse mechanical function. This approach has the advantage of giving directly the whole density function of the response -in closed form-, which is very helpful for reliability analysis (probability of failure...).

KW - FORM

KW - Finite element method

KW - Probabilistic methods

KW - Reliability analysis

KW - Sampling

KW - Sensitivity

KW - Simulation

KW - Transformation method

UR - https://www.scopus.com/pages/publications/84893924997

M3 - Conference contribution

AN - SCOPUS:84893924997

SN - 9781905088089

VL - 83

BT - Proceedings of the 8th International Conference on Computational Structures Technology, CST 2006

PB - Civil-Comp Press

T2 - 8th International Conference on Computational Structures Technology, CST 2006

Y2 - 12 September 2006 through 15 September 2006

ER -

A one-dimensional transformation method for reliability analysis

Abstract

Conference

Keywords

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