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Computational Stochastic Mechanics


Computational Stochastic Mechanics
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Computational Stochastic Mechanics


Computational Stochastic Mechanics
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Author : A. H.-D. Cheng
language : en
Publisher: Computational Mechanics
Release Date : 1993

Computational Stochastic Mechanics written by A. H.-D. Cheng and has been published by Computational Mechanics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.


This text examines the computational aspect of applying the stochastic technique to the analysis of engineering mechanics problems. It includes research from fields where the techniques have reached a considerable level of sophistication and from those areas new to the stochastic approach.



Computational Stochastic Mechanics


Computational Stochastic Mechanics
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Author : P.D. Spanos
language : en
Publisher: Springer
Release Date : 1991-09-30

Computational Stochastic Mechanics written by P.D. Spanos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-09-30 with Gardening categories.


Over a period of several years the field of probabilistic mechanics and com putational mechanics have progressed vigorously, but independently. With the advent of powerful computational hardware and the development of novel mechanical techniques, the field of stochastic mechanics has progressed in such a manner that the inherent uncertainty of quite complicated systems can be addressed. The first International Conference on Computational Stochastic Mechanics was convened in Corfu in September 1991 in an ef fort to provide a forum for the exchanging of ideas on the current status of computational methods as applied to stochastic mechanics and for identi fying needs for further research. The Conference covered both theoretical techniques and practical applications. The Conference also celebrated the 60th anniversary of the birthday of Dr. Masanobu Shinozuka, the Sollenberger Professor of Civil Engineering at Princeton University, whose work has contributed in such a great measure to the development of Computational Stochastic Mechanics. A brief sum mary of his career and achievements are given in the Dedication. This book comprises some of the papers presented at the meeting and cov ers sections on Theoretical Reliability Analysis; Damage Analysis; Applied Reliability Analysis; Theoretical Random Vibrations; Stochastic Finite Ele ment Concept; Fatigue and Fracture; Monte Carlo Simulations; Earthquake Engineering Applications; Materials; Applied Random Vibrations; Applied Stochastic Finite Element Analysis, and Flow Related Applications and Chaotic Dynamics. The Editors hope that the book will be a valuable contribution to the grow ing literature covering the field of Computational Stochastic Mechanics.



Computational Stochastic Mechanics


Computational Stochastic Mechanics
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Author : Pol D. Spanos
language : en
Publisher: IOS Press
Release Date : 2003

Computational Stochastic Mechanics written by Pol D. Spanos and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Engineering categories.




Computational Stochastic Mechanics


Computational Stochastic Mechanics
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Author : P.D. Spanos
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Computational Stochastic Mechanics written by P.D. Spanos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


Over a period of several years the field of probabilistic mechanics and com putational mechanics have progressed vigorously, but independently. With the advent of powerful computational hardware and the development of novel mechanical techniques, the field of stochastic mechanics has progressed in such a manner that the inherent uncertainty of quite complicated systems can be addressed. The first International Conference on Computational Stochastic Mechanics was convened in Corfu in September 1991 in an ef fort to provide a forum for the exchanging of ideas on the current status of computational methods as applied to stochastic mechanics and for identi fying needs for further research. The Conference covered both theoretical techniques and practical applications. The Conference also celebrated the 60th anniversary of the birthday of Dr. Masanobu Shinozuka, the Sollenberger Professor of Civil Engineering at Princeton University, whose work has contributed in such a great measure to the development of Computational Stochastic Mechanics. A brief sum mary of his career and achievements are given in the Dedication. This book comprises some of the papers presented at the meeting and cov ers sections on Theoretical Reliability Analysis; Damage Analysis; Applied Reliability Analysis; Theoretical Random Vibrations; Stochastic Finite Ele ment Concept; Fatigue and Fracture; Monte Carlo Simulations; Earthquake Engineering Applications; Materials; Applied Random Vibrations; Applied Stochastic Finite Element Analysis, and Flow Related Applications and Chaotic Dynamics. The Editors hope that the book will be a valuable contribution to the grow ing literature covering the field of Computational Stochastic Mechanics.



The Stochastic Perturbation Method For Computational Mechanics


The Stochastic Perturbation Method For Computational Mechanics
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Author : Marcin Kaminski
language : en
Publisher: John Wiley & Sons
Release Date : 2013-01-17

The Stochastic Perturbation Method For Computational Mechanics written by Marcin Kaminski and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-17 with Science categories.


Probabilistic analysis is increasing in popularity and importance within engineering and the applied sciences. However, the stochastic perturbation technique is a fairly recent development and therefore remains as yet unknown to many students, researchers and engineers. Fields in which the methodology can be applied are widespread, including various branches of engineering, heat transfer and statistical mechanics, reliability assessment and also financial investments or economical prognosis in analytical and computational contexts. Stochastic Perturbation Method in Applied Sciences and Engineering is devoted to the theoretical aspects and computational implementation of the generalized stochastic perturbation technique. It is based on any order Taylor expansions of random variables and enables for determination of up to fourth order probabilistic moments and characteristics of the physical system response. Key features: Provides a grounding in the basic elements of statistics and probability and reliability engineering Describes the Stochastic Finite, Boundary Element and Finite Difference Methods, formulated according to the perturbation method Demonstrates dual computational implementation of the perturbation method with the use of Direct Differentiation Method and the Response Function Method Accompanied by a website (www.wiley.com/go/kaminski) with supporting stochastic numerical software Covers the computational implementation of the homogenization method for periodic composites with random and stochastic material properties Features case studies, numerical examples and practical applications Stochastic Perturbation Method in Applied Sciences and Engineering is a comprehensive reference for researchers and engineers, and is an ideal introduction to the subject for postgraduate and graduate students.



Uncertainty Assessment Of Large Finite Element Systems


Uncertainty Assessment Of Large Finite Element Systems
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Author : Christian A. Schenk
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-06-08

Uncertainty Assessment Of Large Finite Element Systems written by Christian A. Schenk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-08 with Technology & Engineering categories.


The treatment of uncertainties in the analysis of engineering structures remains one of the premium challenges in modern structural mechanics. It is only in recent years that the developments in stochastic and deterministic computational mechanics began to be synchronized. To foster these developments, novel computational procedures for the uncertainty assessment of large finite element systems are presented in this monograph. The stochastic input is modeled by the so-called Karhunen-Loève expansion, which is formulated in this context both for scalar and vector stochastic processes as well as for random fields. Particularly for strongly non-linear structures and systems the direct Monte Carlo simulation technique has proven to be most advantageous as method of solution. The capabilities of the developed procedures are demonstrated by showing some practical applications.



Computational Methods In Stochastic Dynamics


Computational Methods In Stochastic Dynamics
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Author : Manolis Papadrakakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-01

Computational Methods In Stochastic Dynamics written by Manolis Papadrakakis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-01 with Technology & Engineering categories.


At the dawn of the 21st century, computational stochastic dynamics is an emerging research frontier. This book focuses on advanced computational methods and software tools which can highly assist in tackling complex problems in stochastic dynamic/seismic analysis and design of structures. The book is primarily intended for researchers and post-graduate students in the fields of computational mechanics and stochastic structural dynamics. Nevertheless, practice engineers as well could benefit from it as most code provisions tend to incorporate probabilistic concepts in the analysis and design of structures. The book addresses mathematical and numerical issues in stochastic structural dynamics and connects them to real-world applications. It consists of 16 chapters dealing with recent advances in a wide range of related topics (dynamic response variability and reliability of stochastic systems, risk assessment, stochastic simulation of earthquake ground motions, efficient solvers for the analysis of stochastic systems, dynamic stability, stochastic modelling of heterogeneous materials). Numerical examples demonstrating the significance of the proposed methods are presented in each chapter.



Finite Element Methods For Structures With Large Stochastic Variations


Finite Element Methods For Structures With Large Stochastic Variations
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Author : Isaac Elishakoff
language : en
Publisher: Oxford University Press, USA
Release Date : 2003

Finite Element Methods For Structures With Large Stochastic Variations written by Isaac Elishakoff and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Language Arts & Disciplines categories.


The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. This text discusses finite element methods for structures with large stochastic variations.



Adaptive Stochastic Methods


Adaptive Stochastic Methods
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Author : Dmitriĭ Germanovich Arsenʹev
language : en
Publisher: de Gruyter
Release Date : 2018

Adaptive Stochastic Methods written by Dmitriĭ Germanovich Arsenʹev and has been published by de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.


"This monograph is devoted to developing adaptive stochastic methods of computational mathematics with the use of adaptively controlled computational procedures. We consider the base ideas of the algorithms, ways to synthesise them, and analyse their properties and efficiency while evaluating multidimensional integrals and solving integral equations of the theory of elasticity and the theory of heat conduction. The key feature of the approaches and results presented in this book consists of a comprehensive analysis of mechanisms of utilisation of adaptive control in statistical evaluation procedures, which makes them converge much faster. This book is intended for all students of numerical methods, mathematical statistics, and methods of statistical simulation, as well as for specialists in the fields of computational mathematics and mechanics"--Page v.



Stochastic Finite Element Methods


Stochastic Finite Element Methods
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Author : Vissarion Papadopoulos
language : en
Publisher: Springer
Release Date : 2017-10-28

Stochastic Finite Element Methods written by Vissarion Papadopoulos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-28 with Science categories.


The book provides a self-contained treatment of stochastic finite element methods. It helps the reader to establish a solid background on stochastic and reliability analysis of structural systems and enables practicing engineers to better manage the concepts of analysis and design in the presence of uncertainty. The book covers the basic topics of computational stochastic mechanics focusing on the stochastic analysis of structural systems in the framework of the finite element method. The target audience primarily comprises students in a postgraduate program specializing in structural engineering but the book may also be beneficial to practicing engineers and research experts alike.