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Abstract
The objective of this paper is to present an application of the point estimate method (PEM) that can determine the probabilistic moments for engineering structures. The method is reasonably robust and adequately accurate for a wide range of practical problems. It is a special case of numerical quadrature based on orthogonal polynomials. The main advantage of this method is that, unlike FORM or SORM, it is not necessary to carry on laborious differentiations and in the case of the Monte Carlo simulation, calculations are repeated only several times. The method is straightforward, easy to use, and requires little knowledge of probability theory. This approach is illustrated by two examples: an estimation of the critical force in linear elastic buckling analysis and a reticulated shell limit load calculations. In the case of the Euler’s problem of the elastic beam two uncertain quantities were considered: buckling length and Young’s modulus. It is assumed that both variables are random, normally distributed, and independent. For the reticulated shell the geometric imperfections are considered.
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- Category:
- Conference activity
- Type:
- publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
- Title of issue:
- Lightweight Structures in Civil Engineering Contemporary Problems Monograph from Scientific of IASS Polish Chapters strony 104 - 109
- Language:
- English
- Publication year:
- 2013
- Bibliographic description:
- Przewłócki J., Górski J., Sorn P.: The point estimate method in a reticulated shell reliability analysis// Lightweight Structures in Civil Engineering Contemporary Problems Monograph from Scientific of IASS Polish Chapters/ ed. Jan B. Obrębski, Keszek Małyszko University of Warmia and Mazury in Olsztyn: MICRO-PUBLISHER C-P Jan B. Obrębski Wydawnictwo Naukowe + SB, 2013, s.104-109
- Verified by:
- Gdańsk University of Technology
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