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A Journey Into the Nonlinear World
This is a personal story about being involved in the study of nonlinear phenomena for more than half a century. The focus is on the development of ideas and the resulting knowledge. This is the visible part of research, but much is usually hidden. The author describes how the ideas were generated and how an "invisible college" of friends and colleagues has emerged. The presentation is spiced by thoughts about the beauty of science and philosophical considerations on the complex world, where nonlinear interactions play an important role. The book is in some sense a biography but not so much about the personal life of the author -- it is about science and its actors. Based on the author's experience in many European research centres and science policy institutions, it reflects on the development of knowledge in nonlinear dynamics as well as science policy actions over the second half of the 20th century and the first quarter of the 21st century. Graduates and postgraduates interested in the progress of research will find the book particularly engaging.
Vibration of solids and structures under moving loads
Transport engineering structures are subjected to loads that vary in both time and space. In general mechanics parlance such loads are called moving loads. It is the aim of the book to analyze the effects of this type of load on various elements, components, structures and media of engineering me chanics. In recent years all branches of transport have experienced great advances characterized by increasingly higher speeds and weights of vehicles. As a result, structures and media over or in which the vehicles move have been subjected to vibrations and dynamic stresses far larger than ever before. The author has studied vibrations of elastic and inelastic bodies and structures under the action of moving loads for many years. In the course of his career he has published a number of papers dealing with various aspects of the problem. On the strength of his studies he has arrived at the conclusion that the topic has so grown in scope and importance as to merit a comprehensive treatment. The book is the outcome of his attempt to do so in a single monograph.
Finite Models and Methods of Dynamics in Structures
In view of the present level of computer techniques and the undoubted improvements in them which lie ahead, the finite methods of mechanics are and will remain the most universal tool for solving the dynamic problems of structures in civil and mechanical engineering and other applications. The aim of this volume is to create a unified system classifying the finite methods on the basis of their common features. A feature is found which is common to all known finite methods, and this feature is then formulated as a prerequisite for all known and unknown procedures. On the basis of this prerequisite, symptoms and factors of discretization are formulated; their combinations result in systems of factors denoting various finite models and the methods corresponding to them. Among the procedures obtained in this way are the existing methods and some new methods: some formulations of methods previously defined only in a stricter sense are also obtained. Various new and generalized existing methods are elaborated in practical applications. Some principles of mechanics are proposed for formulating the equations of motion of various finite models and they are applied to practical examples.
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