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

View: 385

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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

View: 5647

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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.

Stochastic Structural Dynamics

Application of Finite Element Methods

Author: Cho W. S. To

Publisher: John Wiley & Sons

ISBN: 1118402723

Category: Mathematics

Page: 352

View: 4133

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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)........

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: 2406

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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: 5107

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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.

Structural Dynamics and Probabilistic Analysis for Engineers

Author: Giora Maymon

Publisher: Elsevier

ISBN: 0080559093

Category: Technology & Engineering

Page: 488

View: 1500

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Probabilistic structural dynamics offers unparalleled tools for analyzing uncertainties in structural design. Once avoided because it is mathematically rigorous, this technique has recently remerged with the aide of computer software. Written by an author/educator with 40 years of experience in structural design, this user friendly manual integrates theories, formulas and mathematical models to produce a guide that will allow professionals to quickly grasp concepts and start solving problems. In this book, the author uses simple examples that provide templates for creating of more robust case studies later in the book. *Problems are presented in an easy to understand form *Practical guide to software programs to solve design problems *Packed with examples and case studies of actual projects *Classical and the new stochastic factors of safety

Elements of Structural Dynamics

A New Perspective

Author: Debasish Roy,G. V. Rao

Publisher: John Wiley & Sons

ISBN: 1118361210

Category: Science

Page: 448

View: 4086

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Structural dynamics is a subset of structural analysis which covers the behavior of structures subjected to dynamic loading. The subject has seen rapid growth and also change in how the basic concepts can be interpreted. For instance, the classical notions of discretizing the operator of a dynamic structural model have given way to a set-theoretic, function-space based framework, which is more conducive to implementation with a computer. This modern perspective, as adopted in this book, is also helpful in putting together the various tools and ideas in a more integrated style. Elements of Structural Dynamics: A New Perspective is devoted to covering the basic concepts in linear structural dynamics, whilst emphasizing their mathematical moorings and the associated computational aspects that make their implementation in software possible. Key features: Employs a novel ‘top down’ approach to structural dynamics. Contains an insightful treatment of the computational aspects, including the finite element method, that translate into numerical solutions of the dynamic equations of motion. Consistently touches upon the modern mathematical basis for the theories and approximations involved. Elements of Structural Dynamics: A New Perspective is a holistic treatise on structural dynamics and is an ideal textbook for senior undergraduate and graduate students in Mechanical, Aerospace and Civil engineering departments. This book also forms a useful 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

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: 1935

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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

An Introduction to Stochastic Dynamics

Author: Jinqiao Duan

Publisher: Cambridge University Press

ISBN: 1107075394

Category: Mathematics

Page: 307

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

Random Vibrations

Analysis of Structural and Mechanical Systems

Author: Loren D. Lutes,Shahram Sarkani

Publisher: Butterworth-Heinemann

ISBN: 0750677651

Category: Science

Page: 638

View: 7220

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The topic of Random Vibrations is the behavior of structural and mechanical systems when they are subjected to unpredictable, or random, vibrations. These vibrations may arise from natural phenomena such as earthquakes or wind, or from human-controlled causes such as the stresses placed on aircraft at takeoff and landing. Study and mastery of this topic enables engineers to design and maintain structures capable of withstanding random vibrations, thereby protecting human life. Random Vibrations will lead readers in a user-friendly fashion to a thorough understanding of vibrations of linear and nonlinear systems that undergo stochastic-random-excitation. Provides over 150 worked out example problems and, along with over 225 exercises, illustrates concepts with true-to-life engineering design problems Offers intuitive explanations of concepts within a context of mathematical rigor and relatively advanced analysis techniques. Essential for self-study by practicing engineers, and for instruction in the classroom.

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: 5457

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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.

Stochastic Dynamics

Author: Soren Nielsen,Zili Zhang

Publisher: ISD LLC

ISBN: 8771843477

Category: Mathematics

Page: 220

View: 1208

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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.

Dynamic Analysis and Design of Offshore Structures

Author: Srinivasan Chandrasekaran

Publisher: Springer

ISBN: 8132222776

Category: Technology & Engineering

Page: 287

View: 3121

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This book attempts to provide readers with an overall idea of various types of offshore platform geometries. It covers the various environmental loads encountered by these structures, a detailed description of the fundamentals of structural dynamics in a class-room style, estimate of damping in offshore structures and their applications in the preliminary analysis and design. Basic concepts of structural dynamics are emphasized through simple illustrative examples and exercises. Design methodologies and guidelines, which are FORM based concepts are explained through a few applied example structures. Each chapter also has tutorials and exercises for self-learning. A dedicated chapter on stochastic dynamics will help the students to extend the basic concepts of structural dynamics to this advanced domain of research. Hydrodynamic response of offshore structures with perforated members is one of the recent research applications, which is found to be one of the effective manner of retrofitting offshore structures. Results of recent research, validated by the experimental and numerical studies are presented to update of the readers. Integration of the concepts of structural dynamics with the FORM-evolved design of offshore structures is a unique approach used in this book. The book will prove useful to the practicing and consulting offshore structural engineers, as also to students and researchers working in the field.

Dynamics of Structures

Author: John H. Argyris,Hans-Peter Mlejnek

Publisher: North Holland

ISBN: 9780444890450

Category: Science

Page: 606

View: 1285

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This volume covers the computational dynamics of linear and non-linear engineering systems subject to conservative as well as non-conservative loads. Available in both paperback and hardback, the volume proposes an as simple as possible numerical evaluation of dynamic phenomena. [p] Practically all known methods of linear spectral analysis like the Householder, Givens, Wiland, Lanczos, Jacobi, Guyan, Eberlein, etc., are clearly detailed with a critical appraisal of their advantages and disadvantages. A great number of flow diagrams and examples are given in order to facilitate the understanding and practical application. A technically experienced reader will no doubt appreciate the interpretative difficulties of a subject like random or stochastic vibration expounded in a special chapter. Non-model damping is also detailed and the highly topical direct integration methods of the equations of dynamic equilibrium receive a very broad description. [p] Finally non-linear oscillations are analysed mostly from the computational point of view. Here the Newmark and the Hermitean algorithms receive very detailed accounts and a critical appraisal. At the same time the subject of non-linear oscillations is introduced through a semi-analytical discussion of the Duffing equation in which the various attractor systems in phase space including strange attractors for chaotic manifestation are described. [p] This volume is the first to appear in this series of self-contained textbooks designed to present a modern, comprehensive account of computational mechanics, which will appeal to both student and experienced practitioner alike.

Stochastic Dynamics for Systems Biology

Author: Christian Mazza,Michel Benaim

Publisher: CRC Press

ISBN: 1466514949

Category: Mathematics

Page: 274

View: 9885

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Stochastic Dynamics for Systems Biology is one of the first books to provide a systematic study of the many stochastic models used in systems biology. The book shows how the mathematical models are used as technical tools for simulating biological processes and how the models lead to conceptual insights on the functioning of the cellular processing system. Most of the text should be accessible to scientists with basic knowledge in calculus and probability theory. The authors illustrate the relevant Markov chain theory using realistic models from systems biology, including signaling and metabolic pathways, phosphorylation processes, genetic switches, and transcription. A central part of the book presents an original and up-to-date treatment of cooperativity. The book defines classical indexes, such as the Hill coefficient, using notions from statistical mechanics. It explains why binding curves often have S-shapes and why cooperative behaviors can lead to ultrasensitive genetic switches. These notions are then used to model transcription rates. Examples cover the phage lambda genetic switch and eukaryotic gene expression. The book then presents a short course on dynamical systems and describes stochastic aspects of linear noise approximation. This mathematical framework enables the simplification of complex stochastic dynamics using Gaussian processes and nonlinear ODEs. Simple examples illustrate the technique in noise propagation in gene networks and the effects of network structures on multistability and gene expression noise levels. The last chapter provides up-to-date results on stochastic and deterministic mass action kinetics with applications to enzymatic biochemical reactions and metabolic pathways.

Dynamics of Fixed Marine Structures

Author: N. D. P. Barltrop,A. J. Adams

Publisher: Butterworth-Heinemann

ISBN: 1483162559

Category: Technology & Engineering

Page: 784

View: 1542

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Dynamics of Fixed Marine Structures, Third Edition proves guidance on the dynamic design of fixed structures subject to wave and current action. The text is an update of the ""UR8"" design guide ""Dynamics of Marine Structures"" with discussion of foundations, wind turbulence, offshore installations, earthquakes, and strength and fatigue. The book employs analytical methods of static and dynamic structural analysis techniques, particularly the statistical and spectral methods when applied to loading and in the calculating dynamic responses. The statistical methods are explained when used to wave, wind, and earthquake calculations, together with the problems encountered in actual applications. Of importance to fixed offshore platforms are the soil properties and foundation covering soil behavior, site investigation, testing, seabed stability, gravity structures, and the use of single piles. Methods of forecasting, measuring, and modeling of waves and currents are also presented in offshore structure construction. Basic hydrodynamics is explained in understanding wave theory, and some description is given to forecasting of environmental conditions that will affect the structures. The effects of vortex-induced vibrations on the structure are explained, and the three methods that can prevent vortex-induced oscillations are given. Wind turbulence or wind loads are analyzed against short natural period or long natural periods of structures. The transportation of offshore platforms, installation, and pile driving, including examples of the applications found in the book, are given as well. The guide is helpful for offshore engineers, designers of inshore jetties, clients needing design and analysis work, specialists related to offshore structural engineering, and students in offshore engineering.

Dynamic Stability of Structures

Author: Wei-Chau Xie

Publisher: Cambridge University Press

ISBN: 9780521852661

Category: Science

Page: 435

View: 4572

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

Stochastic Models of Uncertainties in Computational Mechanics

Author: Christian Soize

Publisher: ASCE Publications

ISBN: 0784412235

Category: Technology & Engineering

Page: 120

View: 7616

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Sponsored by the Engineering Mechanics Institute of ASCE. Stochastic Models of Uncertainties in Computational Mechanics presents the main concepts, formulations, and recent advances in the use of a mathematical-mechanical modeling process to predict the responses of a real structural system in its environment. Computational models are subject to two types of uncertainties?variabilities in the real system and uncertainties in the model itself?so, to be effective, these models must support robust optimization, design, and updating. A probabilistic approach to uncertainties is the most powerful, efficient, and effective tool for computational modeling. Chapters describe the methodology, construction, and estimation for using parametric, nonparametric, and generalized probabilistic approaches to the uncertainties in computational structural dynamics. Other chapters demonstrate the nonparametric probabilistic approach in the context of linear and nonlinear structural dynamics and in structural acoustics and vibration. A new methodology adapted to partial and limited experimental data is presented to identify random coefficients in high-dimension polynomial chaos expansions. This compact guide to probabilistic approaches in computational modeling will be of interest to those working in computational sciences, especially structural engineers, who are developing and applying stochastic models of uncertainties to predict real-world structural systems.