Topics in Nonsmooth Mechanics ePub download
- ISBN: 3764319070
- ISBN13: 978-3764319076
- ePub: 1770 kb | FB2: 1687 kb
- Language: English
- Category: Engineering
- Publisher: Birkhäuser; 1 edition (August 22, 1988)
- Pages: 329
- Rating: 4.7/5
- Votes: 816
- Format: lit txt mobi mbr
Nonsmooth energy functions govern phenomena which occur frequently in nature and in all areas of life.
Nonsmooth energy functions govern phenomena which occur frequently in nature and in all areas of life. They constitute a fascinating subject in mathematics and permit the rational understanding of yet unsolved or partially solved questions in mechanics, engineering and economics. This is the first book to provide a complete and rigorous presentation of the ty approach to nonconvex, possibly nonsmooth, energy functions, of the derivation and study of the corresponding variational expressions in mechanics, engineering and economics, and of their numerical treatment.
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Applied mechanics and the engineering sciences have also benefitted from these .
Applied mechanics and the engineering sciences have also benefitted from these developments in that open problems have been treated and entirely new classes of problems have been formulated and solved. This book is an outgrowth of seven years of seminars and courses on inequality problems in mechanics for a variety of audiences in the Technical University of Aachen, the Aristotle University of Thessaloniki, the University of Hamburg and the Technical University of Milan.
Non-smooth mechanics is a modeling approach in mechanics which does not require the time evolutions of the positions and of the velocities to be smooth functions anymore. Consider for example a rigid model of a ball which falls on the ground.
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Nonsmooth mechanics is a relatively complex field, and requires a good .
Nonsmooth mechanics is a relatively complex field, and requires a good knowledge of mechanics and a good background in some parts of modern mathematics. The next three chapters constitute a course in nonsmooth analysis and identify a coherent and comprehensive approach to the subject leading to an efficient, natural, yet powerful body of theory. The following topics are discussed in detail and are illustrated with examples: Short dynamics; Multiple impacts; Feedback control; Moreau's sweeping process; Complimentary formulations.
Nonsmooth problems in the mechanics of elastic systems Tarasov . Nonsmooth analysis for control problem in the space of probabilities Averboukh Y. 1-3. 2. Nonsmooth problem of stability for elastic rings Tarasov . 3. On the problem of control of continuous-discrete systems with changes in dimensions of phase space and of control vector Barseghyan . 7973931. 17. Error estimates for numerical integration of ODEs in the minimax formulation Babadzanjanz . 18. Adjoint extremal problem for non-smooth functionals Baran . Orlov I.