Cell To Cell Mapping

For many years, I have been interested in global analysis of nonlinear systems. The original interest stemmed from the study of snap-through stability and jump phenomena in structures. For systems of this kind, where there exist multiple stable equilibrium states or periodic motions, it is important to examine the domains of attraction of these responses in the state space. It was through work in this direction that the cell-to-cell mapping methods were introduced. These methods have received considerable development in the last few years, and have also been applied to some concrete problems. The results look very encouraging and promising. However, up to now, the effort of developing these methods has been by a very small number of people. There was, therefore, a suggestion that the published material, scattered now in various journal articles, could perhaps be pulled together into book form, thus making it more readily available to the general audience in the field of nonlinear oscillations and nonlinear dynamical systems. Conceivably, this might facilitate getting more people interested in working on this topic. On the other hand, there is always a question as to whether a topic (a) holds enough promise for the future, and (b) has gained enough maturity to be put into book form. With regard to (a), only the future will tell. With regard to (b), I believe that, from the point of view of both foundation and methodology, the methods are far from mature.

This book presents the latest algorithmic developments in the cell-mapping method for the global analysis of nonlinear dynamic systems, global solutions for multi-objective optimization problems, and global solutions for zeros of complex algebraic equations. It also discusses related engineering and scientific applications, including the nonlinear design of structures for better vibration resistance and reliability; multi-objective, structural-acoustic design for sound abatement; optimal multi-objective design of airfoils for better lift; and optimal multi-objective design of linear and nonlinear controls with or without time delay. The first book on the subject to include extensive Matlab and C++ codes, it presents various implementation algorithms of the cell-mapping method, enabling readers to understand how the method works and its programming aspects. A link to the codes on the Springer website will be provided to the readers.

The Workshop on Control Mechanics has been held at the University of South ern California annually since 1988 under the leadership of late Professor Janislaw M. Skowronski. The primary goal of Professor Skowronski in organizing this series of work shops was to promote the use of advanced mechanics method in control theory with a special emphasis on the control of nonlinear mechanical systems subject to uncertainty. This goal has been achieved through a consistent participation of a large number of researchers in the field of control and mechanics and an intensive exchange of their ideas. Professor Skowronski passed away unexpectedly on March 21, 1992, after the conclusion of the Fifth Workshop. The great success of the Fifth Workshop as well as the entire Control Mechanics Workshops over the years is almost exclusively due to his dedication, enthusiasm, and organizational capabilities. His untimely demise is a great loss to us and to the mechanics and control community. The proceedings of the Fifth Workshop presented in this volume are dedicated to Professor Angelo Miele, one of the pioneers and ,a leading contributor in many fields of control theory and its applications. His contribution spans a wide range of topics such as optimization theory, flight mechanics, astrodynamics, ocean engineering, and numerical methods. The presentations in the workshop reflected many of the areas in which Professor Miele has been active. The papers included in this volume are divided into three major groups of topics.

Global Analysis of Nonlinear Dynamics collects chapters on recent developments in global analysis of non-linear dynamical systems with a particular emphasis on cell mapping methods developed by Professor C.S. Hsu of the University of California, Berkeley. This collection of contributions prepared by a diverse group of internationally recognized researchers is intended to stimulate interests in global analysis of complex and high-dimensional nonlinear dynamical systems, whose global properties are largely unexplored at this time.

Over the past 30 years, numerous concerns have been raised in the literature regarding the capability of static modeling approaches such as the event-tree (ET)/fault-tree (FT) methodology to adequately account for the impact of process/hardware/software/firmware/human interactions on nuclear power plant safety assessment, and methodologies to augment the ET/FT approach have been proposed. Often referred to as dynamic probabilistic risk/safety assessment (DPRA/DPSA) methodologies, which use a time-dependent phenomenological model of system evolution along with a model of its stochastic behavior to model for possible dependencies among failure events. The book contains a collection of papers that describe at existing plant level applicable DPRA/DPSA tools, as well as techniques that can be used to augment the ET/FT approach when needed. Contents: Shutdown Probabilistic Safety Assessment (Marko Čepin) Dynamic Probabilistic Risk Assessment Model Validation and Application -- Experience with ADS-IDAC, Version 2.0 (Kevin Coyne and Ali Mosleh) MCDET: A Tool for Integrated Deterministic Probabilistic Safety Analyses (Martina Kloos, Nadine Berner, Joerg Peschke and Josef Scheuer) Why Sequence Dynamics Matters in PSA: Checking Consistency of Probabilistic and Deterministic Analyses (J M Izquierdo, J Hortal, M Sánchez and E Meléndez) Level 2 Probabilistic Risk Assessment Using Dynamic Event Tree Analysis (Douglas M Osborn, Tunc Aldemir, Richard S Denning and Diego Mandelli) EDF Experience in Integrated Deterministic Probabilistic Safety Analysis for Risk Assessment (Valentin Rychkov) Offsite Power Reliability Assessment for Nuclear Power Plants: An Application of Dynamic Reliability to Power Systems (Pierre Henneaux and Pierre-Etienne Labeau) Stochastic Differential Equations in Dynamic Reliability (Vytis Kopustinskas, Henrikas Pragarauskas and Juozas Augutis) Dynamic Event Tree Modeling of a Reactor Coolant Pump Seal LOCA (Kyle Metzroth, Richard Denning and Tunc Aldemir) Markov/Cell-to-Cell Mapping Technique for Stochastic Modeling of Dynamic Systems (Tunc Aldemir) Dynamic Flowgraph Methodology (DFM) Modeling of Nuclear and Advanced Technology System Risk and Reliability Scenarios (Sergio Guarro and Michael Yau) Dynamic Behavior of Nuclear Power Plant State Under Severe Accident Conditions: Analysis by the GO-FLOW Methodology and the Consideration of Loop Structures (Takeshi Matsuoka) Dynamic Accident Scenario Generation, Modeling and Post-Processing for the Integrated Deterministic and Probabilistic Safety Analysis of Nuclear Power Plants (Francesco Di Maio and Enrico Zio) Software Behavior Modeling for Dynamic Probabilistic Risk Assessment: Perspectives (C S Smidts) Readership: Graduate students, researchers and professionals in the field of nuclear engineering, risk analysis and reliability engineering. Keywords: Probabilistic Risk Assessment;Nuclear Energy;Nuclear Plant Reliability and SafetyReview: Key Features: Except for PSAM, ESREL and PSA conference proceedings which may contain some relevant papers, the most recent review publication on similar topics is Proceedings of the International Workshop on Dynamic Reliability, C Smidts, T Aldemir (Eds.), The Center for Risk and Reliability, University of Maryland, USA (2007) In addition to capturing more recent developments, the proposed publication differs from 2007 publication by concentrating on nuclear energy and also containing papers on risk management The book is a compilation of papers by almost all prominent researchers active in the field of dynamic probabilistic safety/ris