Exact probability density function using multivariate transformation | Applied to static and dynamic stochastic mechanical system

Seifedine Kadry

ISBN 10: 3843366802 / ISBN 13: 9783843366809

Published by LAP LAMBERT Academic Publishing, 2010

About this Item

Exact probability density function using multivariate transformation | Applied to static and dynamic stochastic mechanical system | Seifedine Kadry | Taschenbuch | 96 S. | Englisch | 2010 | LAP LAMBERT Academic Publishing | EAN 9783843366809 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu.

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Bibliographic Details

• Title: Exact probability density function using multivariate transformation | Applied to static and dynamic stochastic mechanical system
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2010
• Language: English
• ISBN 10: 3843366802
• ISBN 13: 9783843366809
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 7D millimeters 220 millimeters width by 150 millimeters height by 7 millimeters depth
• Weight: 161 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

The modeling of mechanical systems can be defined as the mathematical idealization of the physical phenomena controlling it. This implies to define the input variables (geometrical parameters, loading conditions...) and the output variables (displacements, stresses...) allow us to understand the evolution of the mechanical system. Indeed, we cannot admit to use the deterministic models where only the average parameters are considered, because it generally leads to wrong representation of the reality. Hence, it is interesting to introduce the uncertainties in parameter evaluation and to consider their variability. The fundamental issue of probabilistic studies is therefore to take into account the uncertain character and the spatial variability of parameters.The objective of this book is therefore to analyze and to study the probabilistic response of a mechanical system with uncertain parameters. Contrary to other numerical methods, the proposed technique couples the deterministic finite element method and the probabilistic transformation method, to evaluate analytically the probability density function of the response.

About the Author

Dr Seifedine Kadry is an associate professor of Applied Mathematics in the American University of the Middle East. He did his doctoral work in applied mathematics at Blaise Pascal University-Clermont Ferrand II,France.He has published more than 25 papers on Applied Math, computer science and Stochastic Mechanics in peer-reviewed journals.