Exact probability density function using multivariate transformation: Applied to static and dynamic stochastic mechanical system - Softcover

Kadry, Seifedine

Softcover

ISBN 10: 3843366802 ISBN 13: 9783843366809

Publisher: LAP LAMBERT Academic Publishing, 2010

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 this title

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.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2010
• Language: English
• ISBN 10: 3843366802
• ISBN 13: 9783843366809
• Binding: Paperback
• Number of pages: 96