Random Vibration - Status and Recent Developments

Random Vibration - Status and Recent Developments
Author: I. Elishakoff
Publisher: Elsevier
Total Pages: 586
Release: 2013-10-22
Genre: Technology & Engineering
ISBN: 1483289958

This unique book commemorates the 65th birthday of Stephen H. Crandall - one of the founding fathers and most active developers and elucidators of the science of random vibrations. Leading scientists from all over the world have contributed 33 papers addressing almost every important problem of random vibrations. The book thus represents both the state-of-the-art as well as the most recent developments, and will appeal to those in industry and academia who want to achieve a rigorous understanding of the many facets of the subject. A thorough study of the book will also help lay the foundations for future directions in research.

Random Vibration and Statistical Linearization

Random Vibration and Statistical Linearization
Author: John Brian Roberts
Publisher: Courier Corporation
Total Pages: 486
Release: 2003-12-09
Genre: Technology & Engineering
ISBN: 9780486432403

This self-contained volume explains the general method of statistical linearization and its use in solving random vibration problems. Numerous examples show advanced undergraduate and graduate students many practical applications. 1990 edition.

Probabilistic Theory of Structures

Probabilistic Theory of Structures
Author: Isaac Elishakoff
Publisher: Courier Corporation
Total Pages: 532
Release: 1999-01-01
Genre: Technology & Engineering
ISBN: 9780486406916

Well-written introduction covers the elements of the theory of probability from two or more random variables, the reliability of such multivariable structures, the theory of random function, Monte Carlo methods of treating problems incapable of exact solution, and more. No previous knowledge of the subject necessary. Numerous examples, illustrative figures.

Probabilistic Structural Mechanics: Advances in Structural Reliability Methods

Probabilistic Structural Mechanics: Advances in Structural Reliability Methods
Author: Pol D. Spanos
Publisher: Springer Science & Business Media
Total Pages: 621
Release: 2013-03-13
Genre: Technology & Engineering
ISBN: 3642850928

This symposium is the seventh of a series of IUTAM sponsored symposia which focus on probabilistic methods in mechanics. It is the sequel to the series of meetings in Coventry, UK (1972), Southhampton, UK (1976), Frankfurt/Oder, Germany (1982), Stockholm, Sweden (1984), Innsbruck/Igls, Austria (1987), and Turin, Italy (1991). The symposium focused on advances in the area of probabilistic mechanics with direct application to structural reliability issues. The contributed papers address collectively the four components of a structural reliability problem. They are: characterization of stochastic loads, description of material properties in terms of fatigue and fracture, response determination, and quantitative assessment of the reliability of the structural system. Four Keynote Lectures by V. Bolotin (Russia), o. Ditlevsen (Denmark), R. Heller (USA), and F. Ziegler (Austria) were delivered; the remaining contributed papers were organized in ten technical sessIons. A reception was hosted by Dr. Y. Wu the first day of the symposium; the second day of the symposium a banquet was hosted by Dr. P. Spanos, with Dr. N. Abramson serving as the banquet speaker. Closing remarks were provided by the IUTAM Secretary General, Dr. F. Ziegler.

Nonlinear Dynamics and Stochastic Mechanics

Nonlinear Dynamics and Stochastic Mechanics
Author: Wolfgang Kliemann
Publisher: CRC Press
Total Pages: 397
Release: 2018-05-04
Genre: Mathematics
ISBN: 1351091956

Engineering systems have played a crucial role in stimulating many of the modern developments in nonlinear and stochastic dynamics. After 20 years of rapid progress in these areas, this book provides an overview of the current state of nonlinear modeling and analysis for mechanical and structural systems. This volume is a coherent compendium written by leading experts from the United States, Canada, Western and Eastern Europe, and Australia. The 22 articles describe the background, recent developments, applications, and future directions in bifurcation theory, chaos, perturbation methods, stochastic stability, stochastic flows, random vibrations, reliability, disordered systems, earthquake engineering, and numerics. The book gives readers a sophisticated toolbox that will allow them to tackle modeling problems in mechanical systems that use stochastic and nonlinear dynamics ideas. An extensive bibliography and index ensure this volume will remain a reference standard for years to come.

Eigenvalues of Inhomogeneous Structures

Eigenvalues of Inhomogeneous Structures
Author: Isaac Elishakoff
Publisher: CRC Press
Total Pages: 746
Release: 2004-10-28
Genre: Science
ISBN: 142003801X

The engineering community generally accepts that there exists only a small set of closed-form solutions for simple cases of bars, beams, columns, and plates. Despite the advances in powerful computing and advanced numerical techniques, closed-form solutions remain important for engineering; these include uses for preliminary design, for evaluation

Structural Dynamics

Structural Dynamics
Author: G.I. Schueller
Publisher: Springer Science & Business Media
Total Pages: 482
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 3642882986

This book contains some new developments in the area of Structural Dynamics. In general it reflects the recent efforts of several Austrian research groups during the years 1985 - 1990. The contents of this book cover both theoretical developments as well as practical applications and hence can be utilized by researchers as well as the practicing engineers. Quite naturally, realistic modeling of a number of load types such as wind and earthquake loading, etc. , requires taking into account statistical uncertainties. Hence these loads have to be characterized by stochastic processes. As a consequence, stochastic aspects must play a major role in modem structural dynamics. Since an extended modeling of the load processes should not be counterbalanced by simplifying the structural models, considerable efforts have been put into the development of procedures which allow the utilization of e. g. FE models and codes which are utilized presently in context with simplified, i. e. "deterministic" load models. Thus the processing of the additional information on loads as well as including statistical properties of the material allows to provide additional answers, i. e. quantification of the risk of structural failure. This volume concentrates on four major areas, i. e. on load modeling, structural response analysis, computational reliability procedures, and finally on practical application. Quite naturally only special fields and particular, i. e. selected types of problems can be covered. Specific reference is made, however, to cases where generalizations are possible.

IUTAM Symposium on Nonlinear Stochastic Dynamics

IUTAM Symposium on Nonlinear Stochastic Dynamics
Author: N. Sri Namachchivaya
Publisher: Springer Science & Business Media
Total Pages: 470
Release: 2012-12-06
Genre: Mathematics
ISBN: 9401001790

Non-linear stochastic systems are at the center of many engineering disciplines and progress in theoretical research had led to a better understanding of non-linear phenomena. This book provides information on new fundamental results and their applications which are beginning to appear across the entire spectrum of mechanics. The outstanding points of these proceedings are Coherent compendium of the current state of modelling and analysis of non-linear stochastic systems from engineering, applied mathematics and physics point of view. Subject areas include: Multiscale phenomena, stability and bifurcations, control and estimation, computational methods and modelling. For the Engineering and Physics communities, this book will provide first-hand information on recent mathematical developments. The applied mathematics community will benefit from the modelling and information on various possible applications.

Multifaceted Uncertainty Quantification

Multifaceted Uncertainty Quantification
Author: Isaac Elishakoff
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 384
Release: 2024-09-23
Genre: Technology & Engineering
ISBN: 3111354237

The book exposes three alternative and competing approaches to uncertainty analysis in engineering. It is composed of some essays on various sub-topics like random vibrations, probabilistic reliability, fuzzy-sets-based analysis, unknown-but-bounded variables, stochastic linearization, possible difficulties with stochastic analysis of structures.