Nonlinear Dynamics And Stochastic Mechanics

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Nonlinear Dynamics And Stochastic Mechanics
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Author : Wolfgang Kliemann
language : en
Publisher: CRC Press
Release Date : 2018-05-04
Nonlinear Dynamics And Stochastic Mechanics written by Wolfgang Kliemann and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.
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.
Nonlinear Dynamics And Stochastic Mechanics
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Author : Navaratnam Sri Namachchivaya
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Nonlinear Dynamics And Stochastic Mechanics written by Navaratnam Sri Namachchivaya and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
This volume contains the proceedings of the International Symposium on Nonlinear Dynamics and Stochastic Mechanics held at the Fields Institute for Research in Mathematical Sciences from August - September (1993), as part of the 1992-93 Program Year on Dynamical Systems and Bifurcation Theory. In recent years, mathematicians and applied scientists have made significant progress in understanding and have developed powerful tools for the analysis of the complex behaviour of deterministic and stochastic dynamical systems. By moving beyond classical perturbation methods to more general geometrical, computational, and analytical methods, this book is at the forefront in transferring these new mathematical ideas into engineering practice. This work presents the solutions of some specific problems in engineering structures and mechanics and demonstrates by explicit example these new methods of solution.
Nonlinear Dynamics And Stochastic Mechanics
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Author : Wei-Chau Xie
language : en
Publisher:
Release Date : 2000
Nonlinear Dynamics And Stochastic Mechanics written by Wei-Chau Xie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Thirteen papers from a November 2000 meeting examine central topics in theory and applications of nonlinear dynamics, stochastic mechanics and dynamics, and control of nonlinear mechanical and structural systems. Papers address topics related to fundamental, applied, analytical, computational, and e
Iutam Symposium On Advances In Nonlinear Stochastic Mechanics
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Author : A. Naess
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Iutam Symposium On Advances In Nonlinear Stochastic Mechanics written by A. Naess 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 Technology & Engineering categories.
The IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics, held in Trondheim July 3-7, 1995, was the eighth of a series of IUTAM sponsored symposia which focus on the application of stochastic methods in mechanics. The previous meetings took place in Coventry, UK (1972), Sout'hampton, UK (1976), FrankfurtjOder, Germany (1982), Stockholm, Sweden (1984), Innsbruckjlgls, Austria (1987), Turin, Italy (1991) and San Antonio, Texas (1993). The symposium provided an extraordinary opportunity for scholars to meet and discuss recent advances in stochastic mechanics. The participants represented a wide range of expertise, from pure theoreticians to people primarily oriented toward applications. A significant achievement of the symposium was the very extensive discussions taking place over the whole range from highly theoretical questions to practical engineering applications. Several presentations also clearly demonstrated the substantial progress that has been achieved in recent years in terms of developing and implement ing stochastic analysis techniques for mechanical engineering systems. This aspect was further underpinned by specially invited extended lectures on computational stochastic mechanics, engineering applications of stochastic mechanics, and nonlinear active control. The symposium also reflected the very active and high-quality research taking place in the field of stochastic stability. Ten presentations were given on this topic ofa total of47 papers. A main conclusion that can be drawn from the proceedings of this symposium is that stochastic mechanics as a subject has reached great depth and width in both methodology and applicability.
Nonlinear Dynamics Stochastic Mechanics
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Author : W.-C. Xie
language : en
Publisher:
Release Date : 2002
Nonlinear Dynamics Stochastic Mechanics written by W.-C. Xie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Active Passive Vibration Control And Nonlinear Dynamics Of Structures
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Author : William Walker Clark
language : en
Publisher:
Release Date : 1997
Active Passive Vibration Control And Nonlinear Dynamics Of Structures written by William Walker Clark and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Science categories.
The results of two symposia. The first, represented by 11 papers, present current analytical, numerical, and experimental results in all aspects of passive, active, hybrid, and semi-active damping methods applied to controlling structural vibrations in engineering applications.
Dynamical Mechanical Systems Under Random Impulses
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Author : Rados?aw Iwankiewicz
language : en
Publisher: World Scientific
Release Date : 1995
Dynamical Mechanical Systems Under Random Impulses written by Rados?aw Iwankiewicz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.
The book presents the methods of analysis of dynamical mechanical systems subjected to stochastic excitations in form of random trains of impulses. This particular class of excitations is adequately characterized by stochastic point processes and behaviour of dynamical systems is governed by stochastic differential equations driven by point processes. Based on the methods of point processes the analytical techniques are devised to characterize the response of linear and nonlinear mechanical systems as the solutions of underlying stochastic differential equations. A number of example problems of engineering importance are also solved, such as the vibration of plates and shells, and of nonlinear oscillators under random impulses.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1978
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mechanics, Applied categories.
Probabilistic Structural Mechanics Advances In Structural Reliability Methods
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Author : Pol D. Spanos
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-13
Probabilistic Structural Mechanics Advances In Structural Reliability Methods written by Pol D. Spanos 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 2013-03-13 with Technology & Engineering categories.
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.
Uncertainty Assessment Of Large Finite Element Systems
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Author : Christian A. Schenk
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-06-08
Uncertainty Assessment Of Large Finite Element Systems written by Christian A. Schenk 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 2005-06-08 with Technology & Engineering categories.
The treatment of uncertainties in the analysis of engineering structures remains one of the premium challenges in modern structural mechanics. It is only in recent years that the developments in stochastic and deterministic computational mechanics began to be synchronized. To foster these developments, novel computational procedures for the uncertainty assessment of large finite element systems are presented in this monograph. The stochastic input is modeled by the so-called Karhunen-Loève expansion, which is formulated in this context both for scalar and vector stochastic processes as well as for random fields. Particularly for strongly non-linear structures and systems the direct Monte Carlo simulation technique has proven to be most advantageous as method of solution. The capabilities of the developed procedures are demonstrated by showing some practical applications.