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Computational Flexible Multibody Dynamics

A Differential-Algebraic Approach

  • Book
  • © 2013

Overview

Authors:
  1. Bernd Simeon

    1. Felix-Klein-Zentrum für Mathematik, Technische Universität Kaiserslautern, Kaiserslautern, Germany

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  • First comprehensive treatment of mathematical models and numerical methods in the field of flexible multibody dynamics
  • Detailed discussion of state-of-the-art numerical methods both from a theoretical and practical viewpoint
  • Author is a renowned expert in the field

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages I-XII
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  2. Mathematical Models

    1. Front Matter

      Pages 1-1
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    2. A Point of Departure

      • Bernd Simeon
      Pages 3-12

    3. Rigid Multibody Dynamics

      • Bernd Simeon
      Pages 13-51

    4. Elastic Motion

      • Bernd Simeon
      Pages 53-85

    5. Flexible Multibody Dynamics

      • Bernd Simeon
      Pages 87-121

  3. Numerical Methods

    1. Front Matter

      Pages 123-123
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    2. Spatial Discretization

      • Bernd Simeon
      Pages 125-158

    3. Stiff Mechanical System

      • Bernd Simeon
      Pages 159-172

    4. Time Integration Methods

      • Bernd Simeon
      Pages 173-215

    5. Numerical Case Studies

      • Bernd Simeon
      Pages 217-237

  4. Back Matter

    Pages 239-249
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Keywords

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.

Reviews

From the reviews:

“The present monograph provides comprehensive information on both the mathematical framework as well as the numerical methods for flexible multibody dynamics. … The intended audience for this book consists not only of graduate students, Ph.D. students and scientists working in the field of flexible multibody dynamics, but also of those interested in time-dependent partial differential equations and heterogeneous problems with multiple time scales.” (Clementina Mladenova, zbMATH, Vol. 1279, 2014)

Authors and Affiliations

  • Felix-Klein-Zentrum für Mathematik, Technische Universität Kaiserslautern, Kaiserslautern, Germany

    Bernd Simeon

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