Stability and convergence of mechanical systems with unilateral constraints

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 theseconstitutive 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. Gives an overview of stability and sonvergence of mechanical systems with unilateral constraints Deals particularly with non-smooth systems INDICE: Introduction.- 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.- StabilityProperties in Mechanical Systems.- Convergence Properties of Monotone MeasureDifferential Inclusions.- Concluding Remarks.

• ISBN: 978-3-540-76974-3
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 236
• Fecha Publicación: 01/02/2008
• Nº Volúmenes: 1
• Idioma: Inglés