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Lecture Notes in Applied and Computational Mechanics #47: Numerics of Unilateral Contacts and Friction: Modeling and Numerical Time Integration in Non-Smooth Dynamics

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Lecture Notes in Applied and Computational Mechanics #47: Numerics of Unilateral Contacts and Friction: Modeling and Numerical Time Integration in Non-Smooth Dynamics Cover

 

Synopses & Reviews

Publisher Comments:

This book is especially suited for people both in research and industry who are interested in the numerical simulation of mechanical systems with unilateral contacts and friction. Such systems can be found in various fields of technical application; consider for example contacts between wheels and ground in vehicle dynamics, walking machines, limit stops and friction in arbitrary kind of mechanisms or contacts between thousands of grains in granular mechanics. The book focuses mainly on rigid multibody systems dynamics with unilateral contacts and friction, however, the proposed non-smooth modeling approach is much more general and also well suited for non-rigid applications. Four main topics are addressed: Non-smooth modeling of unilateral contacts and friction by set valued force laws, Mathematical evaluation of these laws using normal cone inclusions with associated projective equations, Numerical time-stepping integration methods for non-smooth systems, Implementation in a software code. The book closes the gap between highly specialized mathematical literature and engineering application, gives an excellent overview on well established methods in non-smooth mechanics and opens new perspectives for the future development in this promising field of active research.

Synopsis:

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.

Table of Contents

Introduction.- Mathematical Preliminaries.- Non-Smooth Mechanics.- Inclusion Problems.- Time-Stepping.- Augmented Time-Stepping.- The dynamY Software.- Summary.

Product Details

ISBN:
9783642010996
Author:
Studer, Christian
Publisher:
Springer
Subject:
Mechanical
Subject:
Applied
Subject:
Mechanics - General
Subject:
Engineering - Mechanical
Subject:
Friction
Subject:
multibody dynamics
Subject:
Non Smooth Mechanics
Subject:
Non-Smooth Dynamics
Subject:
Non-Smooth Modeling
Subject:
Set-Valued Force Laws
Subject:
Unilateral Contact
Subject:
Vibration, Dynamical Systems, Control
Subject:
Mechanics
Subject:
Structural Mechanics
Subject:
APPLICATIONS OF MATHEMATICS
Subject:
Appl.Mathematics/Computational Methods of Engineering
Subject:
Mechanical Engineering-General
Copyright:
Edition Description:
Book
Series:
Lecture Notes in Applied and Computational Mechanics
Series Volume:
47
Publication Date:
20090505
Binding:
HARDCOVER
Language:
English
Pages:
192
Dimensions:
235 x 155 mm 990 gr

Related Subjects

Engineering » Engineering » Structural
Engineering » Mechanical Engineering » General
Science and Mathematics » Electricity » General Electronics
Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Physics » Classical Mechanics

Lecture Notes in Applied and Computational Mechanics #47: Numerics of Unilateral Contacts and Friction: Modeling and Numerical Time Integration in Non-Smooth Dynamics New Hardcover
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$209.00 In Stock
Product details 192 pages Springer - English 9783642010996 Reviews:
"Synopsis" by , 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.
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