Numerical Methods for Nonsmooth Dynamical Systems

Applications in Mechanics and Electronics

Authors:

ISBN: 978-3-540-75391-9 (Print) 978-3-540-75392-6 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages I-XX

  2. Nonsmooth Dynamical Systems: Motivating Examples and Basic Concepts

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 1-54

      Nonsmooth Dynamical Systems: Motivating Examples and Basic Concepts

  3. Formulations of Nonsmooth Dynamical Systems

    1. Front Matter

      Pages 55-55

    2. No Access

      Chapter

      Pages 57-105

      Nonsmooth Dynamical Systems: A Short Zoology

    3. No Access

      Chapter

      Pages 107-163

      Mechanical Systems with Unilateral Constraints and Friction

    4. No Access

      Chapter

      Pages 165-176

      Complementarity Systems

    5. No Access

      Chapter

      Pages 177-188

      Higher Order Constrained Dynamical Systems

    6. No Access

      Chapter

      Pages 189-195

      Specific Features of Nonsmooth Dynamical Systems

  4. Time Integration of Nonsmooth Dynamical Systems

    1. Front Matter

      Pages 196-196

    2. No Access

      Chapter

      Pages 203-217

      Event-Driven Schemes for Inclusions with AC Solutions

    3. No Access

      Chapter

      Pages 219-241

      Event-Driven Schemes for Lagrangian Systems

    4. No Access

      Chapter

      Pages 243-284

      Time-Stepping Schemes for Systems with AC Solutions

    5. No Access

      Chapter

      Pages 285-317

      Time-Stepping Schemes for Mechanical Systems

    6. No Access

      Chapter

      Pages 319-325

      Time-Stepping Scheme for the HOSP

  5. Numerical Methods for the One-Step Nonsmooth Problems

    1. Front Matter

      Pages 326-326

    2. No Access

      Chapter

      Pages 331-402

      Basics on Mathematical Programming Theory

    3. No Access

      Chapter

      Pages 403-440

      Numerical Methods for the Frictional Contact Problem

  6. The SICONOS Software: Implementation and Examples

    1. Front Matter

      Pages 441-441

    2. No Access

      Chapter

      Pages 443-488

      The SICONOS Platform

  7. Back Matter

    Pages 489-525