Stochastic Dynamics of Structures

Author: Jie Li,Jianbing Chen

Publisher: John Wiley & Sons

ISBN: 9780470824252

Category: Technology & Engineering

Page: 384

View: 2235

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
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Stochastic Dynamics of Marine Structures

Author: Arvid Naess,Torgeir Moan

Publisher: Cambridge University Press

ISBN: 0521881552

Category: Mathematics

Page: 422

View: 7113

For students and professionals, this covers theory and methods for stochastic modelling and analysis of marine structures under environmental loads.
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Stochastic Dynamics of Structures

Author: Abdelkhalak El Hami,Bouchaib Radi

Publisher: John Wiley & Sons

ISBN: 111937765X

Category: Mathematics

Page: 350

View: 3260

This book is dedicated to the general study of the dynamics of mechanical structures with consideration of uncertainties. The goal is to get the appropriate forms of a part in minimizing a given criterion. In all fields of structural mechanics, the impact of good design of a room is very important to its strength, its life and its use in service. The development of the engineer's art requires considerable effort to constantly improve structural design techniques.
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Nonlinear and Stochastic Dynamics of Compliant Offshore Structures

Author: Seon Mi Han,Haym Benaroya

Publisher: Springer Science & Business Media

ISBN: 9401599122

Category: Technology & Engineering

Page: 274

View: 3586

The purpose of this monograph is to show how a compliant offshore structure in an ocean environment can be modeled in two and three di mensions. The monograph is divided into five parts. Chapter 1 provides the engineering motivation for this work, that is, offshore structures. These are very complex structures used for a variety of applications. It is possible to use beam models to initially study their dynamics. Chapter 2 is a review of variational methods, and thus includes the topics: princi ple of virtual work, D'Alembert's principle, Lagrange's equation, Hamil ton's principle, and the extended Hamilton's principle. These methods are used to derive the equations of motion throughout this monograph. Chapter 3 is a review of existing transverse beam models. They are the Euler-Bernoulli, Rayleigh, shear and Timoshenko models. The equa tions of motion are derived and solved analytically using the extended Hamilton's principle, as outlined in Chapter 2. For engineering purposes, the natural frequencies of the beam models are presented graphically as functions of normalized wave number and geometrical and physical pa rameters. Beam models are useful as representations of complex struc tures. In Chapter 4, a fluid force that is representative of those that act on offshore structures is formulated. The environmental load due to ocean current and random waves is obtained using Morison's equa tion. The random waves are formulated using the Pierson-Moskowitz spectrum with the Airy linear wave theory.
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Stochastic Structural Dynamics

Application of Finite Element Methods

Author: Cho W. S. To

Publisher: John Wiley & Sons

ISBN: 1118402723

Category: Mathematics

Page: 352

View: 5877

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)........
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Computational Methods in Stochastic Dynamics

Author: Manolis Papadrakakis,George Stefanou,Vissarion Papadopoulos

Publisher: Springer Science & Business Media

ISBN: 9400751338

Category: Technology & Engineering

Page: 356

View: 6020

The considerable influence of inherent uncertainties on structural behavior has led the engineering community to recognize the importance of a stochastic approach to structural problems. Issues related to uncertainty quantification and its influence on the reliability of the computational models are continuously gaining in significance. In particular, the problems of dynamic response analysis and reliability assessment of structures with uncertain system and excitation parameters have been the subject of continuous research over the last two decades as a result of the increasing availability of powerful computing resources and technology. This book is a follow up of a previous book with the same subject (ISBN 978-90-481-9986-0) and 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 selected chapters are authored by some of the most active scholars in their respective areas and represent some of the most recent developments in this field. The book consists of 21 chapters which can be grouped into several thematic topics including dynamic analysis of stochastic systems, reliability-based design, structural control and health monitoring, model updating, system identification, wave propagation in random media, seismic fragility analysis and damage assessment. This edited book is primarily intended for researchers and post-graduate students who are familiar with the fundamentals and wish to study or to advance the state of the art on a particular topic in the field of computational stochastic structural dynamics. Nevertheless, practicing engineers could benefit as well from it as most code provisions tend to incorporate probabilistic concepts in the analysis and design of structures.
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Stochastic Analysis of Offshore Steel Structures

An Analytical Appraisal

Author: Halil Karadeniz

Publisher: Springer Science & Business Media

ISBN: 1849961905

Category: Technology & Engineering

Page: 410

View: 7339

Stochastic Analysis of Offshore Steel Structures provides a clear and detailed guide to advanced analysis methods of fixed offshore steel structures using 3D beam finite elements under random wave and earthquake loadings. Advanced and up-to-date research results are coupled with modern analysis methods and essential theoretical information to consider optimal solutions to structural issues. As these methods require and use knowledge of different subject matters, a general introduction to the key areas is provided. This is followed by in-depth explanations supported by design examples, relevant calculations and supplementary material containing related computer programmers. By combining this theoretical and practical approach Stochastic Analysis of Offshore Steel Structures cover a range of key concepts in detail including: The basic principles of standard 3D beam finite elements and special connections, Wave loading - from hydrodynamics to the calculation of wave loading on structural members, Stochastic response calculations with corresponding solution algorithms including earthquakes, and Fatigue damage, reliability calculation and reliability based design optimization. The broad and detailed coverage makes this a solid reference for research oriented studies and practical sophisticated design methods. Students, researchers, insuring bodies and practical designer offices can turn to Stochastic Analysis of Offshore Steel Structures to broaden their theoretical understanding and develop their practical designs and applications of 3D finite analysis in fixed offshore steel structures.
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Introduction to Dynamics and Control in Mechanical Engineering Systems

Author: Cho W. S. To

Publisher: John Wiley & Sons

ISBN: 111893492X

Category: Technology & Engineering

Page: 272

View: 8150

An introductory textbook covering dynamics and controls of engineering systems, with particular focus on mechanical engineering systems Presents and illustrates the process of translating systems in the physical world to mathematical models in the conceptual world during the derivations of equations of motion Includes problems and solutions Contains a separate chapter for operating principles of sensors or transducers and their equations of motion Covers graphical methods for control system analysis and design Presents modern control system analysis as a foundation for a second or graduate course in control engineering Includes applications of MATLAB® for numerical solutions to various questions in system dynamics in order to verify exact solutions and enhance understanding as well as interpretation of solutions
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Hydro-Environmental Analysis

Freshwater Environments

Author: James L. Martin

Publisher: CRC Press

ISBN: 1138000868

Category: Science

Page: 567

View: 1412

Focusing on fundamental principles, Hydro-Environmental Analysis: Freshwater Environments presents in-depth information about freshwater environments and how they are influenced by regulation. It provides a holistic approach, exploring the factors that impact water quality and quantity, and the regulations, policy and management methods that are necessary to maintain this vital resource. It offers a historical viewpoint as well as an overview and foundation of the physical, chemical, and biological characteristics affecting the management of freshwater environments. The book concentrates on broad and general concepts, providing an interdisciplinary foundation. The author covers the methods of measurement and classification; chemical, physical, and biological characteristics; indicators of ecological health; and management and restoration. He also considers common indicators of environmental health; characteristics and operations of regulatory control structures; applicable laws and regulations; and restoration methods. The text delves into rivers and streams in the first half and lakes and reservoirs in the second half. Each section centers on the characteristics of those systems and methods of classification, and then moves on to discuss the physical, chemical, and biological characteristics of each. In the section on lakes and reservoirs, it examines the characteristics and operations of regulatory structures, and presents the methods commonly used to assess the environmental health or integrity of these water bodies. It also introduces considerations for restoration, and presents two unique aquatic environments: wetlands and reservoir tailwaters. Written from an engineering perspective, the book is an ideal introduction to the aquatic and limnological sciences for students of environmental science, as well as students of environmental engineering. It also serves as a reference for engineers and scientists involved in the management, regulation, or restoration of freshwater environments.
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Dynamics of Large Structures and Inverse Problems

Author: Abdelkhalak El Hami,Bouchaib Radi

Publisher: John Wiley & Sons

ISBN: 1119427312

Category: Science

Page: 328

View: 5792

This book deals with the various aspects of stochastic dynamics, the resolution of large mechanical systems, and inverse problems. It integrates the most recent ideas from research and industry in the field of stochastic dynamics and optimization in structural mechanics over 11 chapters. These chapters provide an update on the various tools for dealing with uncertainties, stochastic dynamics, reliability and optimization of systems. The optimization–reliability coupling in structures dynamics is approached in order to take into account the uncertainties in the modeling and the resolution of the problems encountered. Accompanied by detailed examples of uncertainties, optimization, reliability, and model reduction, this book presents the newest design tools. It is intended for students and engineers and is a valuable support for practicing engineers and teacher-researchers.
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Stochastic Dynamics of Reacting Biomolecules

Author: Werner Ebeling,Lutz Schimansky-Geier,Yuri M. Romanovsky

Publisher: World Scientific

ISBN: 9789812795434

Category: Mathematics

Page: 344

View: 2329

This is a book about the physical processes in reacting complex molecules, particularly biomolecules. In the past decade scientists from different fields such as medicine, biology, chemistry and physics have collected a huge amount of data about the structure, dynamics and functioning of biomolecules. Great progress has been achieved in exploring the structure of complex molecules. However, there is still a lack of understanding of the dynamics and functioning of biological macromolecules. In particular this refers to enzymes, which are the basic molecular machines working in living systems. This book contributes to the exploration of the physical mechanisms of these processes, focusing on critical aspects such as the role of nonlinear excitations and of stochastic effects. An extensive range of original results has been obtained in the last few years by the authors, and these results are presented together with a comprehensive survey of the state of the art in the field. Contents: Introduction to the Reaction Theory and Cluster Dynamics of Enzymes (W Ebeling, A Netrebko & Yu Romanovsky); Tools of Stochastic Dynamics (L Schimansky-Geier & P Talkner); Motion of Test Particles in a 2-D Potential Landscape (O A Chichigina, A V Netrebko & N V Netrebko); Microscopic Simulations of Activation and Dissociation (W Ebeling, V Yu Podlipchuk, M G Sapeshinsky & A A Valuev); Excitations on Rings of Molecules (A Chetverikov, W Ebeling, M Jenssen & Yu Romanovsky); Fermi Resonance and Kramers Problem in 2-D Force Field (S V Kroo, A V Netrebko, Yu M Romanovsky & L Schimansky-Geier); Molecular Scissors. Cluster Model of Acetylcholinesterase (A Yu Chikishev, S V Kroo, A V Netrebko, N V Netrebko & Yu Romanovsky); Dynamics of Proton Transfer in the Active Site of Chymotrypsin (A Yu Chikishev, B A Grishanin & E V Shuvalova); On the Damping of Cluster Oscillations in Protein Molecules (A Yu Chikishev, A V Netrebko & Yu M Romanovsky); Protein Dynamics and New Approaches to the Molecular Mechanisms of Protein Functioning (K V Shaitan). Readership: Researchers and graduate students in physics, biophysics, molecular biology and the life sciences; experts on nonlinear dynamics and the stochastic process in molecular systems and biomolecules.
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Stochastic Methods in Structural Dynamics

Author: G.I. Schuëller,Masanobu Shinozuka

Publisher: Springer Science & Business Media

ISBN: 9400936818

Category: Science

Page: 218

View: 7671

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.
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Dynamic Stability of Structures

Author: Wei-Chau Xie

Publisher: Cambridge University Press

ISBN: 9780521852661

Category: Science

Page: 435

View: 8389

This book explores the theory of parametric stability of structures under deterministic and stochastic loadings.
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Elements of Structural Dynamics

A New Perspective

Author: Debasish Roy,G. V. Rao

Publisher: John Wiley & Sons

ISBN: 1118361210

Category: Science

Page: 448

View: 4891

Structural dynamics is a subset of structural analysis whichcovers the behavior of structures subjected to dynamic loading. Thesubject has seen rapid growth and also change in how the basicconcepts can be interpreted. For instance, the classical notions ofdiscretizing the operator of a dynamic structural model have givenway to a set-theoretic, function-space based framework, which ismore conducive to implementation with a computer. This modernperspective, as adopted in this book, is also helpful in puttingtogether the various tools and ideas in a more integratedstyle. Elements of Structural Dynamics: A New Perspective isdevoted to covering the basic concepts in linear structuraldynamics, whilst emphasizing their mathematical moorings and theassociated computational aspects that make their implementation insoftware possible. Key features: Employs a novel ‘top down’ approach to structuraldynamics. Contains an insightful treatment of the computationalaspects, including the finite element method, that translate intonumerical solutions of the dynamic equations of motion. Consistently touches upon the modern mathematical basis for thetheories and approximations involved. Elements of Structural Dynamics: A New Perspective is aholistic treatise on structural dynamics and is an ideal textbookfor senior undergraduate and graduate students in Mechanical,Aerospace and Civil engineering departments. This book also forms auseful reference for researchers and engineers in industry.
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Structural Dynamics

EURODYN 2002 : Proceedings of the 4th [i.e. 5th] International Conference on Structural Dynamics, Munich, Germany, 2-5 September 2002

Author: Harry Grundmann,Gerhart I. Schuëller

Publisher: CRC Press

ISBN: 9789058095114

Category: Technology & Engineering

Page: 1608

View: 7462

The proceedings contain contributions presented by authors from more than 30 countries at EURODYN 2002. The proceedings show recent scientific developments as well as practical applications, they cover the fields of theory of vibrations, nonlinear vibrations, stochastic dynamics, vibrations of structured elements, wave propagation and structure-borne sound, including questions of fatigue and damping. Emphasis is laid on vibrations of bridges, buildings, railway structures as well as on the fields of wind and earthquake engineering, repectively. Enriched by a number of keynote lectures and organized sessions the two volumes of the proceedings present an overview of the state of the art of the whole field of structural dynamics and the tendencies ot its further development.
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Computational Analysis of Randomness in Structural Mechanics

Structures and Infrastructures Book Series

Author: Christian Bucher

Publisher: CRC Press

ISBN: 9780203876534

Category: Mathematics

Page: 248

View: 4070

Proper treatment of structural behavior under severe loading - such as the performance of a high-rise building during an earthquake - relies heavily on the use of probability-based analysis and decision-making tools. Proper application of these tools is significantly enhanced by a thorough understanding of the underlying theoretical and computational concepts as provided by this book. Detailing the computational aspects of stochastic analysis within the field of structural mechanics, this book first presents a few motivating examples that demonstrate the various random effects within the context of simple structural analysis models. It moreover briefly reviews the fundamental concepts from continuum mechanics and puts them in the perspective of modern numerical tools, such as the finite element method. More advanced topics are developed step by step while gradually increasing the complexity of the structural and probabilistic analyses. This volume is intended for structural analysts and advanced students who wish to explore the benefits of stochastic analysis. It will provide researchers and decision makers working on structural and infrastructural systems with the necessary probabilistic information needed for strategic developments in construction, inspection and maintenance.
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Stochastic structural dynamics

proceedings of the symposium held at the University of Illinois at Urbana-Champaign, October 30-November 1, 1988

Author: Navaratnam Sri Namachchivaya,Harry H. Hilton,Yi-Kwei Wen

Publisher: N.A

ISBN: N.A

Category: Stochastic processes

Page: 461

View: 8154

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Engineering Geology and the Environment

Author: G.C. Koukis,P.G. Marinos,G.C. Stourna,G.C. Tsiambaos

Publisher: CRC Press

ISBN: 9789058091970

Category: Science

Page: 508

View: 8845

Composed of the proceedings of a symposium on engineering geology and the environment, held in Athens in June, 1997, this work provides a survey of trends in engineering geology, and an interdisciplinary collaboration with hydrogeology, geochemistry, geomorphology, and soil and rock mechanics.
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IUTAM Symposium on Nonlinearity and Stochastic Structural Dynamics

Proceedings of the IUTAM Symposium held in Madras, Chennai, India 4–8 January 1999

Author: S Narayanan,R.N. IYENGAR

Publisher: Springer Science & Business Media

ISBN: 9780792367338

Category: Mathematics

Page: 331

View: 2790

Nonlinearity and stochastic structural dynamics is of common interest to engineers and applied scientists belonging to many disciplines. Recent research in this area has been concentrated on the response and stability of nonlinear mechanical and structural systems subjected to random escitation. Simultaneously the focus of research has also been directed towards understanding intrinsic nonlinear phenomena like bifurcation and chaos in deterministic systems. These problems demand a high degree of sophistication in the analytical and numerical approaches. At the same time they arise from considerations of nonlinear system response to turbulence, earthquacke, wind, wave and guidancy excitations. The topic thus attracts votaries of both analytical rigour and practical applications. This books gives important and latest developments in the field presenting in a coherent fashion the research findings of leading international groups working in the area of nonlinear random vibration and chaos.
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Computational Structural Dynamics and Earthquake Engineering

Structures and Infrastructures Book Series

Author: Manolis Papadrakakis,Dimos C. Charmpis,Yannis Tsompanakis,Nikos D. Lagaros

Publisher: CRC Press

ISBN: 9780203881637

Category: Technology & Engineering

Page: 670

View: 1246

The increasing necessity to solve complex problems in Structural Dynamics and Earthquake Engineering requires the development of new ideas, innovative methods and numerical tools for providing accurate numerical solutions in affordable computing times. This book presents the latest scientific developments in Computational Dynamics, Stochastic Dynamics, Structural Dynamics and Earthquake Engineering in thirty-five self-contained contributions. The selected state-of-the-art chapters are revised and extended versions of the papers which were presented as plenary, semi-plenary and keynote lectures at the thematic COMPDYN 2007 Conference. This volume will benefit researchers and engineering professionals working on structural dynamics, earthquake engineering and computational mechanics. Readers will get acquainted with advanced computational methods and software tools, which can assist them in tackling complex problems in dynamic/seismic analysis and design. Moreover, it will raise the awareness of important application areas and the social impact of the scientific and technical fields involved.
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