Stochastic Dynamics of Structures

Author: Jie Li,Jianbing Chen

Publisher: John Wiley & Sons

ISBN: 9780470824252

Category: Technology & Engineering

Page: 384

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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

Stochastic Dynamics of Marine Structures

Author: Arvid Naess,Torgeir Moan

Publisher: Cambridge University Press

ISBN: 0521881552

Category: Mathematics

Page: 422

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

Stochastic Dynamics of Structures

Author: Abdelkhalak El Hami,Bouchaib Radi

Publisher: John Wiley & Sons

ISBN: 111937765X

Category: Mathematics

Page: 350

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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.

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

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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.

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: 5028

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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.

Stochastic Structural Dynamics

Application of Finite Element Methods

Author: Cho W. S. To

Publisher: John Wiley & Sons

ISBN: 1118402723

Category: Mathematics

Page: 352

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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)........

Dynamics of Large Structures and Inverse Problems

Author: Abdelkhalak El Hami,Bouchaib Radi

Publisher: John Wiley & Sons

ISBN: 1119427312

Category: Science

Page: 328

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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.

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

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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

Stochastic Methods in Structural Dynamics

Author: G.I. Schuëller,Masanobu Shinozuka

Publisher: Springer Science & Business Media

ISBN: 9400936818

Category: Science

Page: 218

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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 Analysis of Offshore Steel Structures

An Analytical Appraisal

Author: Halil Karadeniz

Publisher: Springer Science & Business Media

ISBN: 1849961905

Category: Technology & Engineering

Page: 410

View: 1907

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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.

Elements of Structural Dynamics

A New Perspective

Author: Debasish Roy,G. V. Rao

Publisher: John Wiley & Sons

ISBN: 1118361210

Category: Science

Page: 448

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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.

Stochastic Dynamics and Control

Author: Jian-Qiao Sun

Publisher: Elsevier

ISBN: 9780080463988

Category: Mathematics

Page: 426

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This book is a result of many years of author’s research and teaching on random vibration and control. It was used as lecture notes for a graduate course. It provides a systematic review of theory of probability, stochastic processes, and stochastic calculus. The feedback control is also reviewed in the book. Random vibration analyses of SDOF, MDOF and continuous structural systems are presented in a pedagogical order. The application of the random vibration theory to reliability and fatigue analysis is also discussed. Recent research results on fatigue analysis of non-Gaussian stress processes are also presented. Classical feedback control, active damping, covariance control, optimal control, sliding control of stochastic systems, feedback control of stochastic time-delayed systems, and probability density tracking control are studied. Many control results are new in the literature and included in this book for the first time. The book serves as a reference to the engineers who design and maintain structures subject to harsh random excitations including earthquakes, sea waves, wind gusts, and aerodynamic forces, and would like to reduce the damages of structural systems due to random excitations. · Comprehensive review of probability theory, and stochastic processes · Random vibrations · Structural reliability and fatigue, Non-Gaussian fatigue · Monte Carlo methods · Stochastic calculus and engineering applications · Stochastic feedback controls and optimal controls · Stochastic sliding mode controls · Feedback control of stochastic time-delayed systems · Probability density tracking control

Dynamic Stability of Structures

Author: Wei-Chau Xie

Publisher: Cambridge University Press

ISBN: 9780521852661

Category: Science

Page: 435

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

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

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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.

Hydro-Environmental Analysis

Freshwater Environments

Author: James L. Martin

Publisher: CRC Press

ISBN: 1138000868

Category: Science

Page: 567

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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.

Stochastic Dynamics of Reacting Biomolecules

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

Publisher: World Scientific

ISBN: 9789812795434

Category: Mathematics

Page: 344

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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.

Dynamics of Offshore Structures

Author: James F. Wilson

Publisher: John Wiley & Sons

ISBN: 9780471275657

Category: Technology & Engineering

Page: 344

View: 4309

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Unique, cutting-edge material on structural dynamics and naturalforces for offshore structures Using the latest advances in theory and practice, Dynamicsof Offshore Structures, Second Edition is extensivelyrevised to cover all aspects of the physical forces, structuralmodeling, and mathematical methods necessary to effectively analyzethe dynamic behavior of offshore structures. Both closed-formsolutions and the Mathematica(r) software package are used in manyof the up-to-date example problems to compute the deterministic andstochastic structural responses for such offshore structures asbuoys; moored ships; and fixed-bottom, cable-stayed, andgravity-type platforms. Throughout the book, consideration is given to the manyassumptions involved in formulating a structural model and to thenatural forces encountered in the offshore environment. Theseanalyses focus on plane motions of elastic structures with linearand nonlinear restraints, as well as motions induced by the forcesof currents, winds, earthquakes, and waves, including the latesttheories and information on wave mechanics. Topics addressedinclude multidegree of freedom linear structures, continuous systemanalysis (including the motion of cables and pipelines), submergedpile design, structural modal damping, fluid-structure-soilinteractions, and single degree of freedom structural models that,together with plane wave loading theories, lead to deterministic ortime history predictions of structural responses. These analysesare extended to statistical descriptions of both wave loading andstructural motion. Dynamics of Offshore Structures, Second Edition isa valuable text for students in civil and mechanical engineeringprograms and an indispensable resource for structural,geotechnical, and construction engineers working with offshoreprojects.

Nonlinear Stochastic Dynamic Engineering Systems

IUTAM Symposium Innsbruck/Igls, Austria, June 21–26, 1987

Author: Franz Ziegler,Gerhard I. Schueller

Publisher: Springer Science & Business Media

ISBN: 3642833349

Category: Science

Page: 541

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This symposium, held at Innsbruck/lgls on June 21-26, 1987, is the fifth in a series of IUTAM-Symposia on the application of stochastic methods in mechanics. The flrst two meetings in Warwick (1972) and Southhampton (1976) concentrated on the stability of stochastic dynamical systems and stochastic methods in dynamics, respectively. The third meeting in Frankfurt/Oder (1982) added aspects of reliability, while the fourth symposium in Stockholm (1984) dealt mainly with fatigue and fracture problems. The general theme of the present symposium is devoted to nonlinear stochastic dynamics of engineering systems which is believed of great importance for providing the tools for basic development and progress in various fields of mechanical-, structural- and aeronautical engineering, particularly in the areas of vehicle dynamics, multi-storey structural dynamics, systems identiflcation, offshore structural dynamics, nuclear structures under various stochastic loading conditions (i. e. wind-, earthquake-, parametric excitations, etc. ). The contributions collected in this volume cover a wide spectrum of topics ranging from more theoretical, analytical and numerical treatment to practical application in various flelds. The truly international character of the meeting is accomplished by 42 contributions and 86 participants from as many as 19 countries and hence, contributed to the original idea of IUTAM, which is to foster international cooperation. It should be recalled, that, for getting this cooperation started again after the First World War, Theodore von Kanmm and Tullio Levi-Civita called the world's flrst international (IUTAM) conference on hydro- and aerornechanics in 1922 in Innsbruck, Austria.

An Introduction to Stochastic Dynamics

Author: Jinqiao Duan

Publisher: Cambridge University Press

ISBN: 1107075394

Category: Mathematics

Page: 307

View: 6851

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An accessible introduction for applied mathematicians to concepts and techniques for describing, quantifying, and understanding dynamics under uncertainty.