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Stability and Convergence of Mechanical Systems with Unilateral Constraints by R
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eBay-objectnummer:395152089839
Specificaties
- Objectstaat
- ISBN-13
- 9783540769743
- Book Title
- Stability and Convergence of Mechanical Systems with Unilateral C
- ISBN
- 9783540769743
- Publication Year
- 2008
- Series
- Lecture Notes in Applied and Computational Mechanics Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Stability and Convergence of Mechanical Systems with Unilateral Constraints
- Item Length
- 9.3in
- Publisher
- Springer Berlin / Heidelberg
- Item Width
- 6.1in
- Item Weight
- 19.3 Oz
- Number of Pages
- Xiv, 236 Pages
Over dit product
Product Information
Stability of motion is a central theme in the dynamics of mechanical systems. While the stability theory for systems with bilateral constraints is a well-established field, this monograph represents a systematic study of mechanical systems with unilateral constraints, such as unilateral contact, impact and friction. Such unilateral constraints give rise to non-smooth dynamical models for which stability theory is developed in this work. The book starts with the treatise of the mathematical background on non-smooth analysis, measure and integration theory and an introduction to the field of non-smooth dynamical systems. The unilateral constraints are modelled in the framework of set-valued force laws developed in the field of non-smooth mechanics. The embedding of these constitutive models in the dynamics of mechanical systems gives rises to dynamical models with impulsive phenomena. This book uses the mathematical framework of measure differential inclusions to formalise such models. The book proceeds with the presentation of stability results for measure differential inclusions. These stability results are then applied to nonlinear mechanical systems with unilateral constraints. The book closes with the study of the convergence property for a class of measure differential inclusions; a stability property for systems with time-varying inputs which is shown to be highly instrumental in the context of the control of mechanical systems with unilateral constraints. While the book presents a profound stability theory for mechanical systems with unilateral constraints, it also has a tutorial value on the modelling of such systems in the framework of measure differential inclusions. The work will be of interest to engineers, scientists and students working in the field of non-smooth mechanics and dynamics.
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3540769749
ISBN-13
9783540769743
eBay Product ID (ePID)
65704005
Product Key Features
Publication Name
Stability and Convergence of Mechanical Systems with Unilateral Constraints
Format
Hardcover
Language
English
Publication Year
2008
Series
Lecture Notes in Applied and Computational Mechanics Ser.
Type
Textbook
Number of Pages
Xiv, 236 Pages
Dimensions
Item Length
9.3in
Item Width
6.1in
Item Weight
19.3 Oz
Additional Product Features
Series Volume Number
36
Number of Volumes
1 Vol.
Lc Classification Number
Tj1-1570
Reviews
From the reviews:"The monograph represents results on stability and attractivity obtained recently for continuous-time dynamical systems formulated as measure differential inclusions. … Some illustrative examples of convergent mechanical systems with set-valued force laws are presented. The monograph will be of interest to researches and engineers working in the field of non-smooth dynamics and mechanics." (Boris Ivanovich Konosevich, Zentralblatt MATH, Vol. 1143, 2008)"This monograph presents a qualitative analysis of non-smooth mechanical systems. … Illustrative examples highlight the use and the limits of the theory. … The monograph is easy to read and the single steps are well motivated and illustrated." (Florian Schmid, Mathematical Reviews, Issue 2009 g), From the reviews: "The monograph represents results on stability and attractivity obtained recently for continuous-time dynamical systems formulated as measure differential inclusions. ... Some illustrative examples of convergent mechanical systems with set-valued force laws are presented. The monograph will be of interest to researches and engineers working in the field of non-smooth dynamics and mechanics." (Boris Ivanovich Konosevich, Zentralblatt MATH, Vol. 1143, 2008) "This monograph presents a qualitative analysis of non-smooth mechanical systems. ... Illustrative examples highlight the use and the limits of the theory. ... The monograph is easy to read and the single steps are well motivated and illustrated." (Florian Schmid, Mathematical Reviews, Issue 2009 g)
Table of Content
Non-smooth Analysis.- Measure and Integration Theory.- Non-smooth Dynamical Systems.- Mechanical Systems with Set-valued Force Laws.- Lyapunov Stability Theory for Measure Differential Inclusions.- Stability Properties in Mechanical Systems.- Convergence Properties of Monotone Measure Differential Inclusions.- Concluding Remarks.
Copyright Date
2008
Topic
Mechanics / Dynamics, Mechanical, Intelligence (Ai) & Semantics, Models
Lccn
2007-941933
Dewey Decimal
620.104
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Computers, Technology & Engineering, Science, Crafts & Hobbies
Objectbeschrijving van de verkoper
Informatie van zakelijke verkoper
Premier Books LLC
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United States
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