Structures And Stochastic Methods

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Stochastic Dynamics of Structures

Author : Jie Li
Publisher : John Wiley & Sons
ISBN 13 : 0470824255
Total Pages : 426 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Stochastic Dynamics of Structures by : Jie Li

Download or read book Stochastic Dynamics of Structures written by Jie Li and published by John Wiley & Sons. This book was released on 2009-07-23 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Stochastic Dynamics of Structures, Li and Chen present a unified view of the theory and techniques for stochastic dynamics analysis, prediction of reliability, and system control of structures within the innovative theoretical framework of physical stochastic systems. The authors outline the fundamental concepts of random variables, stochastic process and random field, and orthogonal expansion of random functions. Readers will gain insight into core concepts such as stochastic process models for typical dynamic excitations of structures, stochastic finite element, and random vibration analysis. Li and Chen also cover advanced topics, including the theory of and elaborate numerical methods for probability density evolution analysis of stochastic dynamical systems, reliability-based design, and performance control of structures. Stochastic Dynamics of Structures presents techniques for researchers and graduate students in a wide variety of engineering fields: civil engineering, mechanical engineering, aerospace and aeronautics, marine and offshore engineering, ship engineering, and applied mechanics. Practicing engineers will benefit from the concise review of random vibration theory and the new methods introduced in the later chapters. "The book is a valuable contribution to the continuing development of the field of stochastic structural dynamics, including the recent discoveries and developments by the authors of the probability density evolution method (PDEM) and its applications to the assessment of the dynamic reliability and control of complex structures through the equivalent extreme-value distribution." —A. H-S. Ang, NAE, Hon. Mem. ASCE, Research Professor, University of California, Irvine, USA "The authors have made a concerted effort to present a responsible and even holistic account of modern stochastic dynamics. Beyond the traditional concepts, they also discuss theoretical tools of recent currency such as the Karhunen-Loeve expansion, evolutionary power spectra, etc. The theoretical developments are properly supplemented by examples from earthquake, wind, and ocean engineering. The book is integrated by also comprising several useful appendices, and an exhaustive list of references; it will be an indispensable tool for students, researchers, and practitioners endeavoring in its thematic field." —Pol Spanos, NAE, Ryon Chair in Engineering, Rice University, Houston, USA

Structures and Stochastic Methods

Author : A.S. Cakmak
Publisher : Elsevier
ISBN 13 : 0444597484
Total Pages : 500 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Structures and Stochastic Methods by : A.S. Cakmak

Download or read book Structures and Stochastic Methods written by A.S. Cakmak and published by Elsevier. This book was released on 2013-10-22 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite advances in the field of geotechnical earthquake engineering, earthquakes continue to cause loss of life and property in one part of the world or another. The Third International Conference on Soil Dynamics and Earthquake Engineering, Princeton University, Princeton, New Jersey, USA, 22nd to 24th June 1987, provided an opportunity for participants from all over the world to share their expertise to enhance the role of mechanics and other disciplines as they relate to earthquake engineering. The edited proceedings of the conference are published in four volumes. This volume covers: Structures, Dams, Retaining Walls and Slopes, Underground Structures, and Stochastic Methods. Together with its companion volumes, it is hoped that it will contribute to the further development of techniques, methods and innovative approaches in soil dynamics and earthquake engineering.

Stochastic Methods in Engineering

Author : I. St Doltsinis
Publisher : WIT Press
ISBN 13 : 1845646266
Total Pages : 379 pages
Book Rating : 4.8/5 (456 download)

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Book Synopsis Stochastic Methods in Engineering by : I. St Doltsinis

Download or read book Stochastic Methods in Engineering written by I. St Doltsinis and published by WIT Press. This book was released on 2012 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: The increasing industrial demand for reliable quantification and management of uncertainty in product performance forces engineers to employ probabilistic models in analysis and design, a fact that has occasioned considerable research and development activities in the field. Notes on Stochastics eventually address the topic of computational stochastic mechanics. The single volume uniquely presents tutorials on essential probabilistics and statistics, recent finite element methods for stochastic analysis by Taylor series expansion as well as Monte Carlo simulation techniques. Design improvement and robust optimisation represent key issues as does reliability assessment. The subject is developed for solids and structures of elastic and elasto-plastic material, large displacements and material deformation processes; principles are transferable to various disciplines. A chapter is devoted to the statistical comparison of systems exhibiting random scatter. Where appropriate examples illustrate the theory, problems to solve appear instructive; applications are presented with relevance to engineering practice. The book, emanating from a university course, includes research and development in the field of computational stochastic analysis and optimization. It is intended for advanced students in engineering and for professionals who wish to extend their knowledge and skills in computational mechanics to the domain of stochastics. Contents: Introduction, Randomness, Structural analysis by Taylor series expansion, Design optimization, Robustness, Monte Carlo techniques for system response and design improvement, Reliability, Time variant phenomena, Material deformation processes, Analysis and comparison of data sets, Probability distribution of test functions.

Stochastic Methods for Estimation and Problem Solving in Engineering

Author : Kadry, Seifedine
Publisher : IGI Global
ISBN 13 : 1522550461
Total Pages : 291 pages
Book Rating : 4.5/5 (225 download)

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Book Synopsis Stochastic Methods for Estimation and Problem Solving in Engineering by : Kadry, Seifedine

Download or read book Stochastic Methods for Estimation and Problem Solving in Engineering written by Kadry, Seifedine and published by IGI Global. This book was released on 2018-03-02 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Utilizing mathematical algorithms is an important aspect of recreating real-world problems in order to make important decisions. By generating a randomized algorithm that produces statistical patterns, it becomes easier to find solutions to countless situations. Stochastic Methods for Estimation and Problem Solving in Engineering provides emerging research on the role of random probability systems in mathematical models used in various fields of research. While highlighting topics, such as random probability distribution, linear systems, and transport profiling, this book explores the use and behavior of uncertain probability methods in business and science. This book is an important resource for engineers, researchers, students, professionals, and practitioners seeking current research on the challenges and opportunities of non-deterministic probability models.

Stochastic Modelling of Social Processes

Author : Andreas Diekmann
Publisher : Academic Press
ISBN 13 : 1483266567
Total Pages : 352 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Stochastic Modelling of Social Processes by : Andreas Diekmann

Download or read book Stochastic Modelling of Social Processes written by Andreas Diekmann and published by Academic Press. This book was released on 2014-05-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Modelling of Social Processes provides information pertinent to the development in the field of stochastic modeling and its applications in the social sciences. This book demonstrates that stochastic models can fulfill the goals of explanation and prediction. Organized into nine chapters, this book begins with an overview of stochastic models that fulfill normative, predictive, and structural–analytic roles with the aid of the theory of probability. This text then examines the study of labor market structures using analysis of job and career mobility, which is one of the approaches taken by sociologists in research on the labor market. Other chapters consider the characteristic trends and patterns from data on divorces. This book discusses as well the two approaches of stochastic modeling of social processes, namely competing risk models and semi-Markov processes. The final chapter deals with the practical application of regression models of survival data. This book is a valuable resource for social scientists and statisticians.

Finite Element Methods for Structures with Large Stochastic Variations

Author : Isaac Elishakoff
Publisher : Oxford University Press, USA
ISBN 13 : 9780198526315
Total Pages : 282 pages
Book Rating : 4.5/5 (263 download)

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Book Synopsis Finite Element Methods for Structures with Large Stochastic Variations by : Isaac Elishakoff

Download or read book Finite Element Methods for Structures with Large Stochastic Variations written by Isaac Elishakoff and published by Oxford University Press, USA. This book was released on 2003 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stochastic Dynamics of Marine Structures

Author : Arvid Naess
Publisher : Cambridge University Press
ISBN 13 : 0521881552
Total Pages : 425 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Stochastic Dynamics of Marine Structures by : Arvid Naess

Download or read book Stochastic Dynamics of Marine Structures written by Arvid Naess and published by Cambridge University Press. This book was released on 2013 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: For students and professionals, this covers theory and methods for stochastic modelling and analysis of marine structures under environmental loads.

Stochastic Methods and their Applications to Communications

Author : Serguei Primak
Publisher : John Wiley & Sons
ISBN 13 : 0470021179
Total Pages : 446 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Stochastic Methods and their Applications to Communications by : Serguei Primak

Download or read book Stochastic Methods and their Applications to Communications written by Serguei Primak and published by John Wiley & Sons. This book was released on 2005-01-28 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Methods & their Applications to Communications presents a valuable approach to the modelling, synthesis and numerical simulation of random processes with applications in communications and related fields. The authors provide a detailed account of random processes from an engineering point of view and illustrate the concepts with examples taken from the communications area. The discussions mainly focus on the analysis and synthesis of Markov models of random processes as applied to modelling such phenomena as interference and fading in communications. Encompassing both theory and practice, this original text provides a unified approach to the analysis and generation of continuous, impulsive and mixed random processes based on the Fokker-Planck equation for Markov processes. Presents the cumulated analysis of Markov processes Offers a SDE (Stochastic Differential Equations) approach to the generation of random processes with specified characteristics Includes the modelling of communication channels and interfer ences using SDE Features new results and techniques for the of solution of the generalized Fokker-Planck equation Essential reading for researchers, engineers, and graduate and upper year undergraduate students in the field of communications, signal processing, control, physics and other areas of science, this reference will have wide ranging appeal.

Algebraic Structures and Applications

Author : Sergei Silvestrov
Publisher : Springer Nature
ISBN 13 : 3030418502
Total Pages : 976 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Algebraic Structures and Applications by : Sergei Silvestrov

Download or read book Algebraic Structures and Applications written by Sergei Silvestrov and published by Springer Nature. This book was released on 2020-06-18 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the latest advances in algebraic structures and applications, and focuses on mathematical concepts, methods, structures, problems, algorithms and computational methods important in the natural sciences, engineering and modern technologies. In particular, it features mathematical methods and models of non-commutative and non-associative algebras, hom-algebra structures, generalizations of differential calculus, quantum deformations of algebras, Lie algebras and their generalizations, semi-groups and groups, constructive algebra, matrix analysis and its interplay with topology, knot theory, dynamical systems, functional analysis, stochastic processes, perturbation analysis of Markov chains, and applications in network analysis, financial mathematics and engineering mathematics. The book addresses both theory and applications, which are illustrated with a wealth of ideas, proofs and examples to help readers understand the material and develop new mathematical methods and concepts of their own. The high-quality chapters share a wealth of new methods and results, review cutting-edge research and discuss open problems and directions for future research. Taken together, they offer a source of inspiration for a broad range of researchers and research students whose work involves algebraic structures and their applications, probability theory and mathematical statistics, applied mathematics, engineering mathematics and related areas.

Basics of Applied Stochastic Processes

Author : Richard Serfozo
Publisher : Springer Science & Business Media
ISBN 13 : 3540893326
Total Pages : 452 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Basics of Applied Stochastic Processes by : Richard Serfozo

Download or read book Basics of Applied Stochastic Processes written by Richard Serfozo and published by Springer Science & Business Media. This book was released on 2009-01-24 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic processes are mathematical models of random phenomena that evolve according to prescribed dynamics. Processes commonly used in applications are Markov chains in discrete and continuous time, renewal and regenerative processes, Poisson processes, and Brownian motion. This volume gives an in-depth description of the structure and basic properties of these stochastic processes. A main focus is on equilibrium distributions, strong laws of large numbers, and ordinary and functional central limit theorems for cost and performance parameters. Although these results differ for various processes, they have a common trait of being limit theorems for processes with regenerative increments. Extensive examples and exercises show how to formulate stochastic models of systems as functions of a system’s data and dynamics, and how to represent and analyze cost and performance measures. Topics include stochastic networks, spatial and space-time Poisson processes, queueing, reversible processes, simulation, Brownian approximations, and varied Markovian models. The technical level of the volume is between that of introductory texts that focus on highlights of applied stochastic processes, and advanced texts that focus on theoretical aspects of processes.

Stochastic Finite Element Methods

Author : Vissarion Papadopoulos
Publisher : Springer
ISBN 13 : 3319645285
Total Pages : 151 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Stochastic Finite Element Methods by : Vissarion Papadopoulos

Download or read book Stochastic Finite Element Methods written by Vissarion Papadopoulos and published by Springer. This book was released on 2017-10-28 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Matrix Analytic Methods in Stochastic Modeling

Author : G. Latouche
Publisher : SIAM
ISBN 13 : 0898714257
Total Pages : 331 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Introduction to Matrix Analytic Methods in Stochastic Modeling by : G. Latouche

Download or read book Introduction to Matrix Analytic Methods in Stochastic Modeling written by G. Latouche and published by SIAM. This book was released on 1999-01-01 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the basic mathematical ideas and algorithms of the matrix analytic theory in a readable, up-to-date, and comprehensive manner.

Stochastic Processes in Engineering Systems

Author : E. Wong
Publisher : Springer Science & Business Media
ISBN 13 : 1461250609
Total Pages : 372 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Stochastic Processes in Engineering Systems by : E. Wong

Download or read book Stochastic Processes in Engineering Systems written by E. Wong and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revision of Stochastic Processes in Information and Dynamical Systems written by the first author (E.W.) and published in 1971. The book was originally written, and revised, to provide a graduate level text in stochastic processes for students whose primary interest is its applications. It treats both the traditional topic of sta tionary processes in linear time-invariant systems as well as the more modern theory of stochastic systems in which dynamic structure plays a profound role. Our aim is to provide a high-level, yet readily acces sible, treatment of those topics in the theory of continuous-parameter stochastic processes that are important in the analysis of information and dynamical systems. The theory of stochastic processes can easily become abstract. In dealing with it from an applied point of view, we have found it difficult to decide on the appropriate level of rigor. We intend to provide just enough mathematical machinery so that important results can be stated PREFACE vi with precision and clarity; so much ofthe theory of stochastic processes is inherently simple if the suitable framework is provided. The price of providing this framework seems worth paying even though the ul timate goal is in applications and not the mathematics per se.

Discrete Stochastic Processes

Author : Robert G. Gallager
Publisher : Springer Science & Business Media
ISBN 13 : 146152329X
Total Pages : 280 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Discrete Stochastic Processes by : Robert G. Gallager

Download or read book Discrete Stochastic Processes written by Robert G. Gallager and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic processes are found in probabilistic systems that evolve with time. Discrete stochastic processes change by only integer time steps (for some time scale), or are characterized by discrete occurrences at arbitrary times. Discrete Stochastic Processes helps the reader develop the understanding and intuition necessary to apply stochastic process theory in engineering, science and operations research. The book approaches the subject via many simple examples which build insight into the structure of stochastic processes and the general effect of these phenomena in real systems. The book presents mathematical ideas without recourse to measure theory, using only minimal mathematical analysis. In the proofs and explanations, clarity is favored over formal rigor, and simplicity over generality. Numerous examples are given to show how results fail to hold when all the conditions are not satisfied. Audience: An excellent textbook for a graduate level course in engineering and operations research. Also an invaluable reference for all those requiring a deeper understanding of the subject.

An Introduction to Stochastic Modeling

Author : Howard M. Taylor
Publisher : Academic Press
ISBN 13 : 1483269272
Total Pages : 410 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis An Introduction to Stochastic Modeling by : Howard M. Taylor

Download or read book An Introduction to Stochastic Modeling written by Howard M. Taylor and published by Academic Press. This book was released on 2014-05-10 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.

Structural and Statistical Problems for a Class of Stochastic Processes

Author : Harald Cramér
Publisher : Princeton University Press
ISBN 13 : 1400885868
Total Pages : 33 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Structural and Statistical Problems for a Class of Stochastic Processes by : Harald Cramér

Download or read book Structural and Statistical Problems for a Class of Stochastic Processes written by Harald Cramér and published by Princeton University Press. This book was released on 2017-03-14 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Cramer, author of the pivotal Mathematical Methods of Statistics (1946), examines problems in the theory of stochastic processes that can be considered as generalizations of problems in the classical theory of statistical inference. He discusses first the representation formula and then treats its application to the multiplicity problem, classes of processes with multiplicity N= 1, normal or Gaussian processes. He concludes with a discussion of problems of estimation for a normal process. A distinguished mathematician, Harald Cramer has been President of the University of Stockholm and Chancellor of the Swedish Universities. He is a member of many professional societies, including the Royal Swedish Academy of Science and the American Academy of Arts and Sciences. Originally published in 1971. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Morphological Models of Random Structures

Author : Dominique Jeulin
Publisher : Springer Nature
ISBN 13 : 3030754529
Total Pages : 919 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Morphological Models of Random Structures by : Dominique Jeulin

Download or read book Morphological Models of Random Structures written by Dominique Jeulin and published by Springer Nature. This book was released on 2021-06-01 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers methods of Mathematical Morphology to model and simulate random sets and functions (scalar and multivariate). The introduced models concern many physical situations in heterogeneous media, where a probabilistic approach is required, like fracture statistics of materials, scaling up of permeability in porous media, electron microscopy images (including multispectral images), rough surfaces, multi-component composites, biological tissues, textures for image coding and synthesis. The common feature of these random structures is their domain of definition in n dimensions, requiring more general models than standard Stochastic Processes.The main topics of the book cover an introduction to the theory of random sets, random space tessellations, Boolean random sets and functions, space-time random sets and functions (Dead Leaves, Sequential Alternate models, Reaction-Diffusion), prediction of effective properties of random media, and probabilistic fracture theories.