Computational Flexible Multibody Dynamics

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

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      Pages 13-51

   4. Elastic Motion

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      Pages 53-85

   5. Flexible Multibody Dynamics

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      Pages 87-121

3. Numerical Methods

   1. Front Matter

      Pages 123-123

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   2. Spatial Discretization

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      Pages 125-158

   3. Stiff Mechanical System

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      Pages 159-172

   4. Time Integration Methods

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      Pages 173-215

   5. Numerical Case Studies

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      Pages 217-237

4. Back Matter

   Pages 239-249

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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
• ordinary differential equations
• partial differential equations

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)

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

  Bernd Simeon

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