Vibro Impact Dynamics Of Ocean Systems And Related Problems

The aim of this International Symposium on Dynamics of Vibro-Impact Systems is to provide a forum for the discussion of recent developments in the theory and industrial applications of vibro-impact ocean systems. A special effort has been made to invite active researchers from engineering, science, and applied mathematics communities. This symposium has indeed updated engineers with recent analytical developments of vibro-impact dynamics and at the same time allowed engineers and industrial practitioners to alert mathematicians with their unresolved issues. The symposium was held in Troy, Michigan, during the period October 1-3, 2008. It included 28 presentations grouped as follows: The first group comprises of nine papers dealing with the interaction of ocean systems with slamming waves and floating ice. It also covers related topics such as sloshing-slamming dynamics, and non-smooth dynamics associated with offshore structures. Moreover, it includes control issues pertaining to marine surface vessels. The second group consists of fifteen papers treats the interaction of impact systems with friction and their control, Hertzian contact dynamics, parameter variation in vibro-impact oscillators, random excitation of vibro-impact systems, vibro-impact dampers, oscillators with a bouncing ball, limiting phase trajectory corresponding to energy exchange between the oscillator and external source, frequency-energy distribution in oscillators with impacts, and discontinuity mapping. The third group is covered in four papers and addresses some industrial applications such as hand-held percussion machines, rub-impact dynamics of rotating machinery, impact fatigue in joint structures.

The aim of this International Symposium on Dynamics of Vibro-Impact Systems is to provide a forum for the discussion of recent developments in the theory and industrial applications of vibro-impact ocean systems. A special effort has been made to invite active researchers from engineering, science, and applied mathematics communities. This symposium has indeed updated engineers with recent analytical developments of vibro-impact dynamics and at the same time allowed engineers and industrial practitioners to alert mathematicians with their unresolved issues. The symposium was held in Troy, Michigan, during the period October 1-3, 2008. It included 28 presentations grouped as follows: The first group comprises of nine papers dealing with the interaction of ocean systems with slamming waves and floating ice. It also covers related topics such as sloshing-slamming dynamics, and non-smooth dynamics associated with offshore structures. Moreover, it includes control issues pertaining to marine surface vessels. The second group consists of fifteen papers treats the interaction of impact systems with friction and their control, Hertzian contact dynamics, parameter variation in vibro-impact oscillators, random excitation of vibro-impact systems, vibro-impact dampers, oscillators with a bouncing ball, limiting phase trajectory corresponding to energy exchange between the oscillator and external source, frequency-energy distribution in oscillators with impacts, and discontinuity mapping. The third group is covered in four papers and addresses some industrial applications such as hand-held percussion machines, rub-impact dynamics of rotating machinery, impact fatigue in joint structures.

Studies of vibro-impact dynamics falls into three main categories: modeling, mapping and applications. This text covers the latest in those studies plus selected deterministic and stochastic applications. It includes a bibliography exceeding 1,100 references.

This book deals with various aspects in relation with thin shell theory: general geometric formalism of shell theory, analysis of singularities, numerical computing of thin shell problems, mathematical considerations on boundary values problems.

Nonlinear Dynamics represents a wide interdisciplinary area of research dealing with a variety of “unusual” physical phenomena by means of nonlinear differential equations, discrete mappings, and related mathematical algorithms. However, with no real substitute for the linear superposition principle, the methods of Nonlinear Dynamics appeared to be very diverse, individual and technically complicated. This book makes an attempt to find a common ground for nonlinear dynamic analyses based on the existence of strongly nonlinear but quite simple counterparts to the linear models and tools. It is shown that, since the subgroup of rotations, harmonic oscillators, and the conventional complex analysis generate linear and weakly nonlinear approaches, then translations and reflections, impact oscillators, and hyperbolic (Clifford’s) algebras must give rise to some “quasi impact” methodology. Such strongly nonlinear methods are developed in several chapters of this book based on the idea of non-smooth time substitutions. Although most of the illustrations are based on mechanical oscillators, the area of applications may include also electric, electro-mechanical, electrochemical and other physical models generating strongly anharmonic temporal signals or spatial distributions. Possible applications to periodic elastic structures with non-smooth or discontinuous characteristics are outlined in the final chapter of the book.

The book is devoted to investigation of a series of problems of convective heat and mass transfer in rotating-disk systems. Such systems are widespread in scienti?c and engineering applications. As examples from the practical area, one can mention gas turbine and computer engineering, disk brakes of automobiles, rotating-disk air cleaners, systems of microclimate, extractors, dispensers of liquids, evaporators, c- cular saws, medical equipment, food process engineering, etc. Among the scienti?c applications, it is necessary to point out rotating-disk electrodes used for experim- tal determination of the diffusion coef?cient in electrolytes. The system consisting of a ?xed disk and a rotating cone that touches the disk by its vertex is widely used for measurement of the viscosity coef?cient of liquids. For time being, large volume of experimental and computational data on par- eters of ?uid ?ow, heat and mass transfer in different types of rotating-disk systems have been accumulated, and different theoretical approaches to their simulation have been developed. This obviously causes a need of systematization and generalization of these data in a book form.

Fracture mechanics is a vast and growing field. This book develops the basic elements needed for both fracture research and engineering practice. The emphasis is on continuum mechanics models for energy flows and crack-tip stress- and deformation fields in elastic and elastic-plastic materials. In addition to a brief discussion of computational fracture methods, the text includes practical sections on fracture criteria, fracture toughness testing, and methods for measuring stress intensity factors and energy release rates. Class-tested at Cornell, this book is designed for students, researchers and practitioners interested in understanding and contributing to a diverse and vital field of knowledge.

This is a compendium of reviewed articles presented at the 11th EUROMECH-MECAMAT conference entitled, "Mechancis of microstructured solids: cellular materials, fibre reinforced solids and soft tissues." It provides all the latest information in the field.