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Advances in Hydrogen Embrittlement Study
The book presents a collection of chapters on the current problems associated with hydrogen damage. It discusses the effect of hydrogen on material properties and its interaction with the material microstructure, physical features of hydrogen transport in metals and alloys, as well as applicable methods of measuring concentration of hydrogen in solid media.
Advanced Dynamics and Control of Structures and Machines
This book, intended for people in engineering and fundamental sciences, presents an integrated mathematical methodology for advanced dynamics and control of structures and machines, ranging from the derivation of models up to the control synthesis problem. This point of view is particularly useful as the physical insight and the associated structural properties, related e.g. to the Lagrangian or Hamiltonian framework, can be advantageously utilized. To this end, up to date results in disciplines like continuum mechanics, analytical mechanics, thermodynamics and electrodynamics are presented exploiting the differential geometric properties, with the basic notions of this coordinate-free approach revisited in an own chapter. In order to illustrate the proposed methodologies, several industrial applications, e.g., the derivation of exact solutions for the deformation compensation by shaped actuation in elastic bodies, or the coordination of rigid and flexible joint robots, are discussed.
Dynamics of Synchronising Systems
This book presents a rational scheme of analysis for the periodic and quasi-periodic solution of a broad class of problems within technical and celestial mechanics. It develops steps for the determination of sufficiently general averaged equations of motion, which have a clear physical interpretation and are valid for a broad class of weak-interaction problems in mechanics. The criteria of stability regarding stationary solutions of these equations are derived explicitly and correspond to the extremum of a special "potential" function. Much consideration is given to applications in vibrational technology, electrical engineering and quantum mechanics, and a number of results are presented that are immediately useful in engineering practice. The book is intended for mechanical engineers, physicists, as well as applied mathematicians specializing in the field of ordinary differential equations.
Newton's Principia revisited
PROBLEM. The treatise is devoted to the reconstruction of our 'instinctive beliefs' in classical mechanics and to present them 'as much isolated and as free from irrelevant additions as possible'. The same motivation has driven many authors since the publication of Newton's Principia. IMPORTANCE. Classical mechanics will remain the basic reference and tool for mechanics on terrestrial and planetary scale as well as the proto-theory of relativistic and quantum mechanics. But it can only serve its purpose if it is not considered as obsolete, but if its foundations and implications are understood and made 'absolutely' clear. METHOD. Based on the 'instinctive belief' that the foundations of clas...
Dynamics of Mechanical Systems with Coulomb Friction
This book addresses the general theory of motion of mechanical systems with Coulomb friction. In particular, the book focuses on the following specific problems: derivation of the equations of motion, Painleve's paradoxes, tangential impact and dynamic seizure, and frictional self-excited oscillations. In addition to the theoretical results, the book contains a detailed description of experiments that show that, in general, the friction force at the instant of transition to motion is determined by the rate of tangential load and does not depend on the duration of the previous contact. These results are used to develop the theory of frictional self-excited oscillations. A number of industrially relevant mechanisms are considered, including the Painleve-Klein scheme, epicyclic mechanisms, crank mechanisms, gear transmission, the link mechanism of a planing machine, and the slider of metal-cutting machine tools. The book is intended for researchers, engineers and students in mechanical engineering.
Analysis of Shells, Plates, and Beams
This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Trends in Applications of Mathematics to Mechanics
With the purpose of promoting cooperative research involving the fields of mechanics and pure mathematics, the International Society for the Interaction of Mechanics and Mathematics (ISIMM) sponsors a series of Symposia. The ninth in this series (STAMM 94) took place in July 1994 at the University of Lisbon and emphasized the current trends in nonlinear mechanics, phase change problems (in cooperation with the European Science Foundation Scientific Programme on Mathematical Treatment of Free Boundary Problems), non Newtonian fluids, optimization in solid mechanics and numerical methods in continuum mechanics. This book collects a refereed selection of original contributions presented at STAMM 94, covering a large spectrum of current research in the above topics, from nonlinear elasticity to nonlinear fluids, from phase transitions to diffusion phenomena, and from structural optimization and homogenization to numerical schemes.
Contributions to Advanced Dynamics and Continuum Mechanics
The book celebrates the 65th birthday of Prof. Alexander K. Belyaev—a well-known expert in the field of Dynamics of Mechanical Systems. In addition to reflecting Prof. Belyaev’s contributions, the papers gathered here address a range of current problems in Dynamics and Continuum Mechanics. All contributions were prepared by his friends and colleagues, and chiefly focus on theory and applications.
Contributions to Advanced Dynamics and Continuum Mechanics
The book celebrates the 65th birthday of Prof. Alexander K. Belyaev—a well-known expert in the field of Dynamics of Mechanical Systems. In addition to reflecting Prof. Belyaev’s contributions, the papers gathered here address a range of current problems in Dynamics and Continuum Mechanics. All contributions were prepared by his friends and colleagues, and chiefly focus on theory and applications.
Recent Approaches in the Theory of Plates and Plate-Like Structures
This book presents the various approaches in establishment the basic equations of one- and two-dimensional structural elements. In addition, the boundaries of validity of the theories and the estimation of errors in approximate theories are given. Many contributions contain not only new theories, but also new applications, which makes the book interesting for researcher and graduate students.
