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Stability and Convergence of Mechanical Systems with Unilateral Constraints (Lecture Notes in Applied and Computational Mechanics (36)) by Remco I. Leine, Nathan van de Wouw (auth.), Remco I. Leine, Nathan van de Wouw (eds.) is a nonfiction available to read on EtoBox.
What is Stability and Convergence of Mechanical Systems with Unilateral Constraints (Lecture Notes in Applied and Computational Mechanics (36)) about?
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. T
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- Author
- Remco I. Leine, Nathan van de Wouw (auth.), Remco I. Leine, Nathan van de Wouw (eds.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Published
- 2008
- Language
- EN
- ISBN
- 9783540769743
- Category
- nonfiction
- Subjects
- Science, Engineering, Physics
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