Numerics of Unilateral Contacts and Friction
Modeling and Numerical Time Integration in Non-Smooth Dynamics
Seiten
2010
|
1. Softcover reprint of hardcover 1st ed. 2009
Springer Berlin (Verlag)
978-3-642-10169-4 (ISBN)
Springer Berlin (Verlag)
978-3-642-10169-4 (ISBN)
This book covers the numerical simulation of mechanical systems with unilateral contacts and friction. It gives an excellent overview on well established methods in non-smooth mechanics and opens new perspectives for development in this promising field.
Mechanics provides the link between mathematics and practical engineering app- cations. It is one of the oldest sciences, and many famous scientists have left and will leave their mark in this fascinating ?eld of research. Perhaps one of the most prominentscientists in mechanics was Sir Isaac Newton, who with his "laws of - tion" initiated the description of mechanical systems by differential equations. And still today, more than 300 years after Newton, this mathematical concept is more actual than ever. The rising computer power and the development of numerical solvers for diff- ential equations allowed engineersall over the world to predict the behavior of their physical systems fast and easy in an numerical way. And the trend to computational simulation methods is still further increasing, not only in mechanics, but practically in all branches of science. Numerical simulation will probablynot solve the world's engineering problems, but it will help for a better understanding of the mechanisms of our models.
Mechanics provides the link between mathematics and practical engineering app- cations. It is one of the oldest sciences, and many famous scientists have left and will leave their mark in this fascinating ?eld of research. Perhaps one of the most prominentscientists in mechanics was Sir Isaac Newton, who with his "laws of - tion" initiated the description of mechanical systems by differential equations. And still today, more than 300 years after Newton, this mathematical concept is more actual than ever. The rising computer power and the development of numerical solvers for diff- ential equations allowed engineersall over the world to predict the behavior of their physical systems fast and easy in an numerical way. And the trend to computational simulation methods is still further increasing, not only in mechanics, but practically in all branches of science. Numerical simulation will probablynot solve the world's engineering problems, but it will help for a better understanding of the mechanisms of our models.
Mathematical Preliminaries.- Non-Smooth Mechanics.- Inclusion Problems.- Time-Stepping.- Augmented Time-Stepping by Step Size Adjustment and Extrapolation.- The dynamY Software.- Summary.
From the reviews:
"The present book is a continuation of results of smooth mechanics to non-smooth mechanics, introduced by Jean Jacques Moreau in the late 1980's. ... The motivation for writing this book is to bring numerical time integrators for the dynamics of non-smooth mechanics. The aim of the author is to close the gap between mathematical theories in non-smooth mechanics and their applications in practice and corresponding software codes. ... the book under review represents the interesting contribution to the practical computational mechanics." (Jirí Nedoma, Mathematical Reviews, Issue 2011 j)| Erscheint lt. Verlag | 22.10.2010 |
|---|---|
| Reihe/Serie | Lecture Notes in Applied and Computational Mechanics |
| Zusatzinfo | X, 182 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 296 g |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| Technik ► Maschinenbau | |
| Schlagworte | Development • Friction • Mechanics • Modeling • multibody dynamics • Non-smooth Dynamics • Non Smooth Mechanics • Non-Smooth Modeling • Numerics • Set-valued Force Laws • Simulation • Unilateral Contact |
| ISBN-10 | 3-642-10169-0 / 3642101690 |
| ISBN-13 | 978-3-642-10169-4 / 9783642101694 |
| Zustand | Neuware |
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