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Stochastic Structural Mechanics


Stochastic Structural Mechanics
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Stochastic Dynamics Of Structures


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



Stochastic Structural Mechanics


Stochastic Structural Mechanics
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Author : Y.K. Lin
language : en
Publisher: Springer
Release Date : 2013-12-21

Stochastic Structural Mechanics written by Y.K. Lin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-21 with Technology & Engineering categories.


This volume is a collection of papers presented at the U.S.-Austria Joint Seminar on Stochastic Structural Mechanics held on May 4 and 5, 1987. The general theme of the two-day program was the applications of probability and statistics to structural mechanics. Within this general theme a great variety of subject matters were covered, ranging from analytical and computational algorithms to specific problems in different branches of engineering. The format of the bi-national seminar with limited attendance permitted ample time for presentation and discussion. The discussion was als6 contributed by several participants of another bi-national seminar, the U.S.-Japan Joint Seminar on Stochastic Approaches in Earthquake Engineering, which followed immediately on May 6 and 7, 1987. The scheduling of the two seminars back-to-back enhanced greatly the exchange among the experts in engineering stochastics from the three nations. The Joint Seminar was organized according to the U.S.-Austria Cooperative Science Program established in 1984. We are indebted to the following government agencies and organizations for financial assistance, including the National Science Foundation, and the Florida Atlantic University Foundation in the United States, and Fonds zur Forderung der wissenschaftlichen Forschung, Land Tirol, Bundeswirtschaftskammer, Bundesministerium flir Wissenschaft und Forschung, and Osterreichische Forschungsgemeinschaft in Austria. Most credits, however, must be accorded to each of the authors whose contributions were the very basis of any success we might be able to claim. Our special thanks are due to Mrs.



Stochastic Methods In Structural Dynamics


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 Analysis Of Structural And Mechanical Vibrations


Stochastic Analysis Of Structural And Mechanical Vibrations
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Author : Loren D. Lutes
language : en
Publisher:
Release Date : 1997

Stochastic Analysis Of Structural And Mechanical Vibrations written by Loren D. Lutes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.


With the aim of stating the fundamental principles and relationships of structural and mechanical vibrations, this guide focuses on the determination of response levels for dynamical systems excited by forces that can be modeled as stochastic processes. It concentrates material in the beginning of the text, with introductions to the fundamentals of stochastic modeling and vibration problems to acquaint students with applications. There are discussions on progressive topics which are the subject of ongoing research, including state-space analysis, nonlinear dynamics, and fatigue damage; the time history implications of bandwidth, with situations varying from narrowband to white noise; time domain integration techniques which provide viable alternatives to the calculus of residues; and an emphasis on time domain interpretations throughout. It includes a number of worked examples to illustrate the modelling of physical problems as well as the proper application of theoretical solutions.



Statics And Mechanics Of Structures


Statics And Mechanics Of Structures
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Author : Steen Krenk
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-02

Statics And Mechanics Of Structures written by Steen Krenk 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 2013-03-02 with Science categories.


The statics and mechanics of structures form a core aspect of civil engineering. This book provides an introduction to the subject, starting from classic hand-calculation types of analysis and gradually advancing to a systematic form suitable for computer implementation. It starts with statically determinate structures in the form of trusses, beams and frames. Instability is discussed in the form of the column problem - both the ideal column and the imperfect column used in actual column design. The theory of statically indeterminate structures is then introduced, and the force and deformation methods are explained and illustrated. An important aspect of the book’s approach is the systematic development of the theory in a form suitable for computer implementation using finite elements. This development is supported by two small computer programs, MiniTruss and MiniFrame, which permit static analysis of trusses and frames, as well as linearized stability analysis. The book’s final section presents related strength of materials subjects in greater detail; these include stress and strain, failure criteria, and normal and shear stresses in general beam flexure and in beam torsion. The book is well-suited as a textbook for a two-semester introductory course on structures.



Random Vibrations


Random Vibrations
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Author : Loren D. Lutes
language : en
Publisher: Butterworth-Heinemann
Release Date : 2004

Random Vibrations written by Loren D. Lutes and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.


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.



Finite Element Methods For Structures With Large Stochastic Variations


Finite Element Methods For Structures With Large Stochastic Variations
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Author : Isaac Elishakoff
language : en
Publisher: Oxford University Press, USA
Release Date : 2003

Finite Element Methods For Structures With Large Stochastic Variations written by Isaac Elishakoff and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Language Arts & Disciplines categories.


The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. This text discusses finite element methods for structures with large stochastic variations.



Methods Of Structural Safety


Methods Of Structural Safety
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Author : H. O. Madsen
language : en
Publisher: Courier Corporation
Release Date : 2006-01-01

Methods Of Structural Safety written by H. O. Madsen and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Science categories.


Uncertainties about analytical models, fluctuations in loads, and variability of material properties contribute to the small but real probability of structure failures. This advanced engineering text describes methods developed to deal with stochastic aspects of structural behavior, providing a framework for evaluating, comparing, and combining stochastic effects. Starting with the general problem of consistent evaluation of the reliability of structures, the text proceeds to examination of the second-moment reliability index methods that describe failure in terms of one or more limit states. It presents first-order reliability methods for computation of failure probabilities for individual limit states and for systems; and it illustrates identification of the design parameters most affecting reliability. Additional subjects include a self-contained presentation of extreme-value theory and stochastic processes; stationary, evolutionary, and nonlinear aspects of stochastic response of structures; a stochastic approach to material fatigue damage and crack propagation; and stochastic models for several natural and manufactured loads.



Computational Structural Dynamics And Earthquake Engineering


Computational Structural Dynamics And Earthquake Engineering
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Author : Manolis Papadrakakis
language : en
Publisher: CRC Press
Release Date : 2008-12-04

Computational Structural Dynamics And Earthquake Engineering written by Manolis Papadrakakis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-04 with Technology & Engineering categories.


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 Dynam