The stochastic perturbation method for computational mechanics (Record no. 152690)

MARC details
000 -LEADER
fixed length control field 06065nam a2200361 a 4500
001 - CONTROL NUMBER
control field 0000163544
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20171002063139.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m u
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cn|||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121009s2013 njud sb 001 0 eng d
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
Canceled/invalid LC control number 2012029897
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780470770825 (hardback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781118481820 (e-book)
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr10657788
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)812531839
040 ## - CATALOGING SOURCE
Original cataloging agency CaPaEBR
Transcribing agency CaPaEBR
050 14 - LIBRARY OF CONGRESS CALL NUMBER
Classification number TA340
Item number .K36 2013eb
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 620.001/51922
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kamiński, M. M.
Fuller form of name (Marcin M.),
Dates associated with a name 1969-
245 14 - TITLE STATEMENT
Title The stochastic perturbation method for computational mechanics
Medium [electronic resource] /
Statement of responsibility, etc. Marcin Kamiński.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Hoboken :
Name of publisher, distributor, etc. John Wiley & Sons Inc.,
Date of publication, distribution, etc. 2013.
300 ## - PHYSICAL DESCRIPTION
Extent xviii, 330 p. :
Other physical details ill. (some col.)
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references and index.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note Machine generated contents note: Introduction 3 1. Mathematical considerations 14 1.1. Stochastic perturbation technique basis 14 1.2. Least squares technique description 34 1.3. Time series analysis 47 2. The Stochastic Finite Element Method (SFEM) 73 2.1. Governing equations and variational formulation 73 2.1.1. Linear potential problems 73 2.1.2. Linear elastostatics 75 2.1.3. Nonlinear elasticity problems 78 2.1.4. Variational equations of elastodynamics 79 2.1.5. Transient analysis of the heat transfer 80 2.1.6. Thermo-piezoelectricity governing equations 82 2.1.7. Navier-Stokes equations 86 2.2. Stochastic Finite Element Method equations 89 2.2.1. Linear potential problems 89 2.2.2. Linear elastostatics 91 2.2.3. Nonlinear elasticity problems 94 2.2.4. SFEM in elastodynamics 98 2.2.5. Transient analysis of the heat transfer 101 2.2.6. Coupled thermo-piezoelectrostatics SFEM equations 105 2.2.7. Navier-Stokes perturbation-based equations 107 2.3. Computational illustrations 109 2.3.1. Linear potential problems 109 2.3.1.1. 1D fluid flow with random viscosity 109 2.3.1.2. 2D potential problem by the response function 114 2.3.2. Linear elasticity 118 2.3.2.1. Simple extended bar with random stiffness 118 2.3.2.2. Elastic stability analysis of the steel telecommunication tower 123 2.3.3. Nonlinear elasticity problems 129 2.3.4. Stochastic vibrations of the elastic structures 133 2.3.4.1. Forced vibrations with random parameters for a simple 2 d.o.f. system 133 2.3.4.2. Eigenvibrations of the steel telecommunication tower with random stiffness 138 2.3.5. Transient analysis of the heat transfer 140 2.3.5.1. Heat conduction in the statistically homogeneous rod 140 2.3.5.2. Transient heat transfer analysis by the RFM 145 3. The Stochastic Boundary Element Method (SBEM) 152 3.1. Deterministic formulation of the Boundary Element Method 151 3.2. Stochastic generalized perturbation approach to the BEM 156 3.3. The Response Function Method into the SBEM equations 158 3.4. Computational experiments 162 4. The Stochastic Finite Difference Method (SFDM) 186 4.1. Analysis of the unidirectional problems with Finite Differences 186 4.1.1. Elasticity problems 186 4.1.2. Determination of the critical moment for the thin-walled elastic structures 199 4.1.3. Introduction to the elastodynamics using difference calculus 204 4.1.4. Parabolic differential equations 210 4.2. Analysis of the boundary value problems on 2D grids 214 4.2.1. Poisson equation 214 4.2.2. Deflection of elastic plates in Cartesian coordinates 219 4.2.3. Vibration analysis of the elastic plates 227 5. Homogenization problem 230 5.1. Composite material model 232 5.2. Statement of the problem and basic equations 237 5.3. Computational implementation 244 5.4. Numerical experiments 246 6. Concluding remarks 284 7. References 289 8. Index 300 .
520 ## - SUMMARY, ETC.
Summary, etc. "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"--
Assigning source Provided by publisher.
533 ## - REPRODUCTION NOTE
Type of reproduction Electronic reproduction.
Place of reproduction Palo Alto, Calif. :
Agency responsible for reproduction ebrary,
Date of reproduction 2013.
Note about reproduction Available via World Wide Web.
-- Access may be limited to ebrary affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Engineering
General subdivision Statistical methods.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Perturbation (Mathematics)
655 #7 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
Source of term local
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element ebrary, Inc.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://site.ebrary.com/lib/daystar/Doc?id=10657788">http://site.ebrary.com/lib/daystar/Doc?id=10657788</a>
Public note An electronic book accessible through the World Wide Web; click to view
908 ## - PUT COMMAND PARAMETER (RLIN)
Put command parameter 170314
942 00 - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Electronic Book

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