Computational Flexible Multibody Dynamics

A Differential-Algebraic Approach

  • Bernd Simeon

Part of the Differential-Algebraic Equations Forum book series (DAEF)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Mathematical Models

    1. Front Matter
      Pages 1-1
    2. Bernd Simeon
      Pages 3-12
    3. Bernd Simeon
      Pages 13-51
    4. Bernd Simeon
      Pages 53-85
    5. Bernd Simeon
      Pages 87-121
  3. Numerical Methods

    1. Front Matter
      Pages 123-123
    2. Bernd Simeon
      Pages 125-158
    3. Bernd Simeon
      Pages 159-172
    4. Bernd Simeon
      Pages 173-215
    5. Bernd Simeon
      Pages 217-237
  4. Back Matter
    Pages 239-249

About this book


This monograph, written from a numerical analysis perspective, aims to provide a comprehensive treatment of both the mathematical framework and the numerical methods for flexible multibody dynamics. Not only is this field permanently and rapidly growing, with various applications in aerospace engineering, biomechanics, robotics, and vehicle analysis, its foundations can also be built on reasonably established mathematical models. Regarding actual computations, great strides have been made over the last two decades, as sophisticated software packages are now capable of simulating highly complex structures with rigid and deformable components. The approach used in this book should benefit graduate students and scientists working in computational mechanics and related disciplines as well as those interested in time-dependent partial differential equations and heterogeneous problems with multiple time scales. Additionally, a number of open issues at the frontiers of research are addressed by taking a differential-algebraic approach and extending it to the notion of transient saddle point problems.


Differential-algebraic equations Flexible multibody dynamics Numerical time integration methods Transient saddle point problem

Authors and affiliations

  • Bernd Simeon
    • 1
  1. 1.Felix-Klein-Zentrum für MathematikTechnische Universität KaiserslauternKaiserslauternGermany

Bibliographic information

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