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Stochastic Structural Mechanics
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Book Synopsis Computational Analysis of Randomness in Structural Mechanics by : Christian Bucher
Download or read book Computational Analysis of Randomness in Structural Mechanics written by Christian Bucher and published by CRC Press. This book was released on 2009-03-30 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 computation
Book Synopsis Stochastic Methods for Estimation and Problem Solving in Engineering by : Kadry, Seifedine
Download or read book Stochastic Methods for Estimation and Problem Solving in Engineering written by Kadry, Seifedine and published by IGI Global. This book was released on 2018-03-02 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Utilizing mathematical algorithms is an important aspect of recreating real-world problems in order to make important decisions. By generating a randomized algorithm that produces statistical patterns, it becomes easier to find solutions to countless situations. Stochastic Methods for Estimation and Problem Solving in Engineering provides emerging research on the role of random probability systems in mathematical models used in various fields of research. While highlighting topics, such as random probability distribution, linear systems, and transport profiling, this book explores the use and behavior of uncertain probability methods in business and science. This book is an important resource for engineers, researchers, students, professionals, and practitioners seeking current research on the challenges and opportunities of non-deterministic probability models.
Book Synopsis Stochastic Analysis of Structural and Mechanical Vibrations by : Loren D. Lutes
Download or read book Stochastic Analysis of Structural and Mechanical Vibrations written by Loren D. Lutes and published by . This book was released on 1997 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Stochastic Dynamics of Structures by : Jie Li
Download or read book Stochastic Dynamics of Structures written by Jie Li and published by John Wiley & Sons. This book was released on 2009-07-23 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Stochastic Structural Mechanics by : Y.K. Lin
Download or read book Stochastic Structural Mechanics written by Y.K. Lin and published by Springer. This book was released on 2013-12-21 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Stochastic Finite Element Methods by : Vissarion Papadopoulos
Download or read book Stochastic Finite Element Methods written by Vissarion Papadopoulos and published by Springer. This book was released on 2017-10-28 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a self-contained treatment of stochastic finite element methods. It helps the reader to establish a solid background on stochastic and reliability analysis of structural systems and enables practicing engineers to better manage the concepts of analysis and design in the presence of uncertainty. The book covers the basic topics of computational stochastic mechanics focusing on the stochastic analysis of structural systems in the framework of the finite element method. The target audience primarily comprises students in a postgraduate program specializing in structural engineering but the book may also be beneficial to practicing engineers and research experts alike.
Book Synopsis Computational Stochastic Mechanics by : P.D. Spanos
Download or read book Computational Stochastic Mechanics written by P.D. Spanos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over a period of several years the field of probabilistic mechanics and com putational mechanics have progressed vigorously, but independently. With the advent of powerful computational hardware and the development of novel mechanical techniques, the field of stochastic mechanics has progressed in such a manner that the inherent uncertainty of quite complicated systems can be addressed. The first International Conference on Computational Stochastic Mechanics was convened in Corfu in September 1991 in an ef fort to provide a forum for the exchanging of ideas on the current status of computational methods as applied to stochastic mechanics and for identi fying needs for further research. The Conference covered both theoretical techniques and practical applications. The Conference also celebrated the 60th anniversary of the birthday of Dr. Masanobu Shinozuka, the Sollenberger Professor of Civil Engineering at Princeton University, whose work has contributed in such a great measure to the development of Computational Stochastic Mechanics. A brief sum mary of his career and achievements are given in the Dedication. This book comprises some of the papers presented at the meeting and cov ers sections on Theoretical Reliability Analysis; Damage Analysis; Applied Reliability Analysis; Theoretical Random Vibrations; Stochastic Finite Ele ment Concept; Fatigue and Fracture; Monte Carlo Simulations; Earthquake Engineering Applications; Materials; Applied Random Vibrations; Applied Stochastic Finite Element Analysis, and Flow Related Applications and Chaotic Dynamics. The Editors hope that the book will be a valuable contribution to the grow ing literature covering the field of Computational Stochastic Mechanics.
Book Synopsis Stochastic Crack Propagation by : Giora Maymon
Download or read book Stochastic Crack Propagation written by Giora Maymon and published by Academic Press. This book was released on 2018-01-02 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Crack Propagation: Essential Practical Aspects describes a feature important to the analysis of stochastic crack propagation, starting with essential background theory. Processes, or phenomena, which are of practical importance in the work of design engineers or R&D teams are described chapter by chapter. Many examples are described and supported by listed references, and files of data that can be used with specialist software to practice design situations are included. Advice on how to use various computer programs to design and predict for stochastic crack growth is also provided, giving professionals a complete guide. - Presents instructions and exercises in the ideal format for professionals, focusing on applications - Explains a methodology on how to optimize the engineering design process by including stochastic crack growth behavior - Provides computational files to help readers get up-to-speed with design using programs like ANSYS and NASTRAN for stochastic crack growth
Book Synopsis Random Vibrations by : Loren D. Lutes
Download or read book Random Vibrations written by Loren D. Lutes and published by Butterworth-Heinemann. This book was released on 2004 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Finite Element Methods for Structures with Large Stochastic Variations by : Isaac Elishakoff
Download or read book Finite Element Methods for Structures with Large Stochastic Variations written by Isaac Elishakoff and published by Oxford University Press, USA. This book was released on 2003 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Research Directions in Computational Mechanics by : National Research Council
Download or read book Research Directions in Computational Mechanics written by National Research Council and published by National Academies Press. This book was released on 1991-02-01 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational mechanics is a scientific discipline that marries physics, computers, and mathematics to emulate natural physical phenomena. It is a technology that allows scientists to study and predict the performance of various productsâ€"important for research and development in the industrialized world. This book describes current trends and future research directions in computational mechanics in areas where gaps exist in current knowledge and where major advances are crucial to continued technological developments in the United States.
Book Synopsis Statics and Mechanics of Structures by : Steen Krenk
Download or read book Statics and Mechanics of Structures written by Steen Krenk and published by Springer Science & Business Media. This book was released on 2013-03-02 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Random Vibration of Mechanical and Structural Systems by : T. T. Soong
Download or read book Random Vibration of Mechanical and Structural Systems written by T. T. Soong and published by Prentice Hall. This book was released on 1993 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing random vibration of mechanical and structural systems, this work offers techniques for determining probabilistic characteristics of the response of dynamic systems subjected to random loads or inputs and for calculating probabilities related to system performance or reliability.
Book Synopsis Uncertainty Modeling in Vibration, Control and Fuzzy Analysis of Structural Systems by : Bilal M. Ayyub
Download or read book Uncertainty Modeling in Vibration, Control and Fuzzy Analysis of Structural Systems written by Bilal M. Ayyub and published by World Scientific. This book was released on 1997 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an overview of the current state of uncertainty modeling in vibration, control, and fuzzy analysis of structural and mechanical systems. It is a coherent compendium written by leading experts and offers the reader a sampling of exciting research areas in several fast-growing branches in this field. Uncertainty modeling and analysis are becoming an integral part of system definition and modeling in many fields. The book consists of ten chapters that report the work of researchers, scientists and engineers on theoretical developments and diversified applications in engineering systems. They deal with modeling for vibration, control, and fuzzy analysis of structural and mechanical systems under uncertain conditions. The book designed for readers who are familiar with the fundamentals and wish to study a particular topic or use the book as an authoritative reference. It gives readers a sophisticated toolbox for tackling modeling problems in mechanical and structural systems in real-world situations. The book is part of a series on Stability, Vibration and Control of Structures, and provides vital information in these areas.
Book Synopsis Modern Trends in Structural and Solid Mechanics 3 by : Noel Challamel
Download or read book Modern Trends in Structural and Solid Mechanics 3 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book – comprised of three separate volumes – presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This third volume is devoted to non-deterministic mechanics. Modern Trends in Structural and Solid Mechanics 3 has broad scope, covering topics such: design optimization under uncertainty, interval field approaches, convex analysis, quantum inspired topology optimization and stochastic dynamics. The book is illustrated by many applications in the field of aerospace engineering, mechanical engineering, civil engineering, biomedical engineering and automotive engineering. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.
Book Synopsis Stochastic Methods in Engineering by : I. St Doltsinis
Download or read book Stochastic Methods in Engineering written by I. St Doltsinis and published by WIT Press. This book was released on 2012 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: The increasing industrial demand for reliable quantification and management of uncertainty in product performance forces engineers to employ probabilistic models in analysis and design, a fact that has occasioned considerable research and development activities in the field. Notes on Stochastics eventually address the topic of computational stochastic mechanics. The single volume uniquely presents tutorials on essential probabilistics and statistics, recent finite element methods for stochastic analysis by Taylor series expansion as well as Monte Carlo simulation techniques. Design improvement and robust optimisation represent key issues as does reliability assessment. The subject is developed for solids and structures of elastic and elasto-plastic material, large displacements and material deformation processes; principles are transferable to various disciplines. A chapter is devoted to the statistical comparison of systems exhibiting random scatter. Where appropriate examples illustrate the theory, problems to solve appear instructive; applications are presented with relevance to engineering practice. The book, emanating from a university course, includes research and development in the field of computational stochastic analysis and optimization. It is intended for advanced students in engineering and for professionals who wish to extend their knowledge and skills in computational mechanics to the domain of stochastics. Contents: Introduction, Randomness, Structural analysis by Taylor series expansion, Design optimization, Robustness, Monte Carlo techniques for system response and design improvement, Reliability, Time variant phenomena, Material deformation processes, Analysis and comparison of data sets, Probability distribution of test functions.
Book Synopsis Elements Of Stochastic Dynamics by : Guo-qiang Cai
Download or read book Elements Of Stochastic Dynamics written by Guo-qiang Cai and published by World Scientific Publishing Company. This book was released on 2016-08-11 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic dynamics has been a subject of interest since the early 20th Century. Since then, much progress has been made in this field of study, and many modern applications for it have been found in fields such as physics, chemistry, biology, ecology, economy, finance, and many branches of engineering including Mechanical, Ocean, Civil, Bio, and Earthquake Engineering.Elements of Stochastic Dynamics aims to meet the growing need to understand and master the subject by introducing fundamentals to researchers who want to explore stochastic dynamics in their fields and serving as a textbook for graduate students in various areas involving stochastic uncertainties. All topics within are presented from an application approach, and may thus be more appealing to users without a background in pure Mathematics. The book describes the basic concepts and theories of random variables and stochastic processes in detail; provides various solution procedures for systems subjected to stochastic excitations; introduces stochastic stability and bifurcation; and explores failures of stochastic systems. The book also incorporates some latest research results in modeling stochastic processes; in reducing the system degrees of freedom; and in solving nonlinear problems. The book also provides numerical simulation procedures of widely-used random variables and stochastic processes.A large number of exercise problems are included in the book to aid the understanding of the concepts and theories, and may be used for as course homework.
