Stochastic Methods In Structural Dynamics
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Stochastic Methods In Structural Dynamics
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Author : G.I. Schuëller
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stochastic Methods In Structural Dynamics written by G.I. Schuëller 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 Science categories.
This book is based on a number of lectures presented at CISM* -Course on "Stochastic Methods in Structural Mechanics", August 28 -30,1985 in Udine, Italy. The chapters presented here are either expanded and/or updated versions of these lectures. The purpose is to introduce readers to basic principles of stochastic methods of structural mechanics, particularly to those of dynamics. For those readers who wish to pursue the study further, the references provided in each chapter will serve as a useful source of information. Nevertheless the readers find some of the advanced topics presented by the authors immediately useful for their own application. The first section of Chapter 1 introduces the reader to the basic principles of probability theory followed by the discussion of methods to calculate time invariant structural reliability estimates, where the exact methods are particularly emphasized. The Chapter continues with a first introduction to the theory of stochastic processes. The properties of Gaussian and other type of processes are discussed. In dealing with observed data, tests of stationarity, as well as methods to estimate power spectra are described in some detail. The Chapter closes with a first treatice of excursions of stochastic processes in terms of number and duration of excursions, extremes, envelopes and time to first excursions. In Chapter 2 linear structures under stochastic loading are analyzed by applying the concepts as outlined in Chapter 1. The analyses are carried out in the time and frequency range respectively.
Stochastic Dynamics
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Author : Soren Nielsen
language : en
Publisher: Aarhus Universitetsforlag
Release Date : 2017-06-01
Stochastic Dynamics written by Soren Nielsen and has been published by Aarhus Universitetsforlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-01 with Mathematics categories.
In chapter 1, the basic assumptions of the random vibration theory are emphasized. In chapters 2 and 3, pertinent results of stochastic variables and stochastic processes have been indicated. Chapter 4 deals with the stochastic response analysis of single degrees-of-freedom, multi-degrees-of-freedom and continuous linear structural systems. In principle, an introductory course on linear structural dynamics is presupposes. However, in order to make this textbook self-contained, short reviews of the most important results of linear deterministic vibration theory have been included in the start of the relevant sub-sections. Chapter 5 outlines the reliability theory for dynamically excited building structures, i.e., reliability theory for narrowbanded response processes. Finally, Chapter 6 gives an introduction to Monte Carlo simulation methods, which become increasingly important and useful as the computers become more and more powerful.
Stochastic Dynamics Of Structures
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Author : Jie Li
language : en
Publisher: John Wiley & Sons
Release Date : 2009-07-23
Stochastic Dynamics Of Structures written by Jie Li 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 2009-07-23 with Technology & Engineering categories.
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
Nondeterministic Mechanics
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Author : Isaac Elishakoff
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-30
Nondeterministic Mechanics written by Isaac Elishakoff 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 2013-07-30 with Technology & Engineering categories.
Table of contents: Stochastic methods in nonlinear structural dynamics.- Stochastic models of uncertainties in computational structural dynamics and structural acoustics.- The tale of stochastic linearization techniques: over half a century of progress.- Comprehensive modeling of uncertain systems using fuzzy set theory.- Bounding uncertainty in civil engineering: theoretical background and applications.- Combined methods in nondeterministic mechanics. In this book the current state of the art of nondeterministic mechanics in its various forms is presented. The topics range from stochastic problems to fuzzy sets; from linear to nonlinear problems; from specific methodologies to combinations of various techniques; from theoretical considerations to practical applications. It is specially designed to illuminate the various aspects of the three methodologies (probabilistic or stochastic modelling, fuzzy sets based analysis, antioptimization of structures) to deal with various uncertainties and deepen the discussion of their pros and cons.
Stochastic Dynamics Of Marine Structures
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Author : Arvid Naess
language : en
Publisher: Cambridge University Press
Release Date : 2012-10-15
Stochastic Dynamics Of Marine Structures written by Arvid Naess and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-15 with Technology & Engineering categories.
Stochastic Dynamics of Marine Structures is a text for students and a reference for professionals on the basic theory and methods used for stochastic modelling and analysis of marine structures subjected to environmental loads. The first part of the book provides a detailed introduction to the basic dynamic analysis of structures, serving as a foundation for later chapters on stochastic response analysis. This includes an extensive chapter on the finite element method. A careful introduction to stochastic modelling is provided, which includes such concepts as stochastic process, variance spectrum, random environmental processes, response spectrum, response statistics and short- and long-term extreme value models. The second part of the book offers detailed discussion of limit state design approaches, fatigue design methods, the equations of motion for dynamic structures and numerical solution techniques. The final chapter highlights methods for prediction of extreme values from measured data or data obtained by Monte Carlo simulation.
Probabilistic Structural Dynamics
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Author : Yu-Kweng Lin
language : en
Publisher: McGraw Hill Professional
Release Date : 2004
Probabilistic Structural Dynamics written by Yu-Kweng Lin and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Technology & Engineering categories.
Probabilistic structural dynamics is a new approach to building calculations that satisfy safety requirements while at the same time driving new efficiencies. This text provides a tutorial to these new methods.
Advances In Stochastic Structural Dynamics
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Author : W. Q. Zhu
language : en
Publisher: CRC Press
Release Date : 2003-05-13
Advances In Stochastic Structural Dynamics written by W. Q. Zhu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-13 with Technology & Engineering categories.
Collection of technical papers presented at the 5th International Conference on Stochastic Structural Dynamics (SSD03) in Hangzhou, China during May 26-28, 2003. Topics include direct transfer substructure method for random response analysis, generation of bounded stochastic processes, and sample path behavior of Gaussian processes.
Variational Mechanics And Stochastic Methods Applied To Structural Design
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Author : Rabindranath Andújar
language : en
Publisher:
Release Date : 2014
Variational Mechanics And Stochastic Methods Applied To Structural Design written by Rabindranath Andújar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
This thesis explores a very well understood area of physics: computational structural dynamics. The aim is to stretch its boundaries by merging it with another very well established discipline such as structural design and optimization. In the recent past both of them have made significant advances, often unaware one of each other for different reasons. It is the aim of this thesis to serve as a bridging tool between the realms of physics and engineering. The work in divided in three parts: variational mechanics, structural optimization and implementation. The initial part deals with deterministic variational mechanics. Two chapters are dedicated to probe the applicability of energy functionals in the structural analysis. First, by mapping the state of the art regarding the vast field of numerical methods forstructural dynamics; second, by using those functionals as a tool to compare the methods. It is shown how, once the methods are grouped according to the kind of differential equations they integrate, it is easy to establish a framework for benchmarking. Moreover, if this comparison is made using balance of energy the only parameter needed to observe is a relatively easy toobtain scalar value. The second part, where structural optimization is treated, has also two chapters. In the first one the nondeterministic tools employed by structural designers are presented and examined. An important distinction between tools for optimization and tools for analysis is highlighted. In the following chapter, a framework for the objective characterization of structural systems is developed. This characterization is made on the basis of the thermodynamics and energetic characteristics of the system. Finally, it is successfully applied to drive a sample simulated annealing algorithm. In the third part the resulting code employed in the numerical experiments is shown and explained. This code was developed by meansof a visual programming environment and allows for the fast Implementation of programs within a consolidated CAD application. It was used to interconnect simultaneously with other applications to seamlessly share simulation data and process it. Those applications were, respectively, a spreadsheet and a general purpose finite element.
Stochastic Structural Dynamics 2
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Author : I. Elishakoff
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stochastic Structural Dynamics 2 written by I. Elishakoff 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 Science categories.
This volume contains eighteen selected papers presented at the Second International Conference on Stochastic Structural Dynamics, which are related to new practical applications in the field. This and a companion volume, related to new theoretical developments, constitute the proceedings of the conference, and reflect the state of the art of the rapidly developing subject. The conference was held in Boca Raton, Florida during May 9-11, 1990 hosted by the Center for Applied Stochastic Research of Florida Atlantic University. A total of 20 technical sessions were organized, and attended by eighty participants from 12 countries. Special emphases of the conference were placed on two areas: applications to earthquake engineering and stochastic stability of nonlinear systems. Two sessions were dedicated to the memory of late Professor Frank Kozin, one of the founders and most active contributors to the stochastic stability theory. We are indebted to the National Center for Earthquake Engineering Research (NCEER) for financial support. Most credit belongs to each of the authors whose contributions were the very basis for the undoubted success of the conference. We are grateful to the reviewers who carefully refereed the contributions for these two volumes. Our special thanks are due to Mrs. Christine Mikulski, who carried out all the necessary secretarial tasks associated with the conference with dedication.
Stochastic Structural Dynamics
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Author : Cho W. S. To
language : en
Publisher: John Wiley & Sons
Release Date : 2013-11-08
Stochastic Structural Dynamics written by Cho W. S. To 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 2013-11-08 with Mathematics categories.
One of the first books to provide in-depth and systematic application of finite element methods to the field of stochastic structural dynamics The parallel developments of the Finite Element Methods in the 1950’s and the engineering applications of stochastic processes in the 1940’s provided a combined numerical analysis tool for the studies of dynamics of structures and structural systems under random loadings. In the open literature, there are books on statistical dynamics of structures and books on structural dynamics with chapters dealing with random response analysis. However, a systematic treatment of stochastic structural dynamics applying the finite element methods seems to be lacking. Aimed at advanced and specialist levels, the author presents and illustrates analytical and direct integration methods for analyzing the statistics of the response of structures to stochastic loads. The analysis methods are based on structural models represented via the Finite Element Method. In addition to linear problems the text also addresses nonlinear problems and non-stationary random excitation with systems having large spatially stochastic property variations. A systematic treatment of stochastic structural dynamics applying the finite element methods Highly illustrated throughout and aimed at advanced and specialist levels, it focuses on computational aspects instead of theory Emphasizes results mainly in the time domain with limited contents in the time-frequency domain Presents and illustrates direction integration methods for analyzing the statistics of the response of linear and nonlinear structures to stochastic loads Under Author Information - one change of word to existing text: He is a Fellow of the American Society of Mechanical Engineers (ASME)........