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This book treats stability problems of equilibrium states of elastic rods. Euler energy and dynamical methods of stability analysis are introduced and stability criteria for each method is developed. Stability analysis is accompanied by a number of classical conservative and non-conservative, two- and three-dimensional problems. Some problems are treated by all three methods. Many generalized versions of known problems are presented (heavy vertical rod, rotating rod, Greenhill's problem, Beck's column, Pflger's rod, strongest column, etc.). The generalizations consist in using either a generalized form of constitutive equations or a more general form of loading, or both. Special attention is paid to the influence of shear stresses and axis compressibility on the value of the critical load. Variational methods are applied to obtain estimates of the critical load and maximal deflection in the post-critical state, in a selected number of examples.
The functionality of modern structural, mechanical and electrical or electronic systems depends on their ability to perform under uncertain conditions. Consideration of uncertainties and their effect on system behavior is an essential and integral part of defining systems. In eleven chapters, leading experts present an overview of the current state of uncertainty modeling, analysis and design of large systems in four major areas: finite and boundary element methods (common structural analysis techniques), fatigue, stability analysis, and fault-tolerant systems. The content of this book is unique; it describes exciting research developments and challenges in emerging areas, and provide a sophisticated toolbox for tackling uncertainty modeling in real systems.
The book “Mechatronics: Recent Technological and Scientific Advances” provides comprehensive and accessible coverage of the evolving disciplines of mechatronics for nanotechnology, automatic control & robotics, biomedical engineering, design manufacturing and testing of MEMS, metrology, photonics, mechatronic products majors. It is already the third volume following the previous editions in 2007 and 2009 providing a recent state of advances in mechatronics presented on the 9th International Conference Mechatronics 2011, hosted this year at the Faculty of Mechatronics, Warsaw University of Technology, Poland. The carefully selected contributions give an insight into the current developmen...
In the past twenty years, the scientific community has witnessed a technological revolution in products and processes, from consumer goods to factory automation systems. This revolution is based on the integration, right from the design phase, of the best that current technology can offer in electronics, control systems, computers, structures and mechanics. The terms that have emerged, for the synergetic approach to design, and integration of sensors, actuators, computers, structures and mechanics, are ?structronics? and ?mechatronics?. Structronics can be viewed as an integration of mechatronic systems into structures, which emphasizes a synergistic integration beginning at fertilization. S...
The contributions in this volume are written by well-known specialists in the fields of mechanics, materials modeling and analysis. They comprehensively address the core issues and present the latest developments in these and related areas. In particular, the book demonstrates the breadth of current research activity in continuum mechanics. A variety of theoretical, computational, and experimental approaches are reported, covering finite elasticity, vibration and stability, and mechanical modeling. The coverage reflects the extent and impact of the research pursued by Professor Haseganu and her international colleagues.
This book provides a collection of research papers on one of the topics where the applications of chaos have been more fruitful: controlling chaos. Here, new theoretical ideas, as experimental implementations of controlling chaos, are included, while the applications contained in this volume can be referred to turbulent magnetized plasmas, chaotic neural networks, modeling city traffic and models of interest in celestial mechanics. Recent Progress in Controlling Chaos will provide an overview of the recent progress in this field, which will be very useful for students and researchers. The authors of these research works are prominent in their areas of specialization, and they offer an excellent state-of-the-art of this field and its most recent developments and progress.
In this volume scientists and researchers from industry discuss the new trends in simulation and computing shell-like structures. The focus is put on the following problems: new theories (based on two-dimensional field equations but describing non-classical effects), new constitutive equations (for materials like sandwiches, foams, etc. and which can be combined with the two-dimensional shell equations), complex structures (folded, branching and/or self intersecting shell structures, etc.) and shell-like structures on different scales (for example: nano-tubes) or very thin structures (similar to membranes, but having a compression stiffness). In addition, phase transitions in shells and refined shell thermodynamics are discussed. The chapters of this book are the most exciting contributions presented at the EUROMECH 527 Colloquium “Shell-like structures: Non-classical Theories and Applications” held in Wittenberg, Germany.
Nonlinear dynamics and the associated areas of smart structures and control have recently seen an explosion of interest in response to a rich variety of new and interesting research breakthroughs. Although a book of this size cannot contain a detailed summary of all these engaging results, it does offer a sampling of exciting research areas in an assortment of fast-growing branches of mechanics and control. Smart Structures, Nonlinear Dynamics, and Control involves a modicum of applied mathematics and will be of interest to researchers and graduate students in engineering and physics.