Flexible Multibody Dynamics by O. A. BauchauFlexible Multibody Dynamics by O. A. Bauchau

Flexible Multibody Dynamics

byO. A. Bauchau

Paperback | December 1, 2012

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The author developed this text over many years, teaching graduate courses in advanced dynamics and flexible multibody dynamics at the Daniel Guggenheim School of Aerospace Engineering of the Georgia Institute of Technology.


The book presents a unified treatment of rigid body dynamics, analytical dynamics, constrained dynamics, and flexible multibody dynamics. A comprehensive review of numerical tools used to enforce both holonomic and nonholonomic constraints is presented. Advanced topics such as Maggi's, index-1, null space, and Udwadia and Kalaba's formulations are presented because of their fundamental importance in multibody dynamics. Methodologies for the parameterization of rotation and motion are discussed and contrasted. Geometrically exact beams and shells formulations, which have become the standard in flexible multibody dynamics, are presented and numerical aspects of their finite element implementation detailed. Methodologies for the direct solution of the index-3 differential-algebraic equations characteristic of constrained multibody systems are presented. It is shown that with the help of proper scaling procedures, such equations are not more difficult to integrate than ordinary differential equations.


This book is illustrated with numerous examples and should prove valuable to both students and researchers in the fields of rigid and flexible multibody dynamics.

Olivier Bauchau teaches and conducts research in the fields of structural dynamics, multibody dynamics, experimental dynamics, and mechanics of advanced composite materials and structures. He was educated at Université de l'Etat à Liège (Belgium), Massachusetts Institute of Technology, Cambridge, MA. He has worked as a researcher at St...
Title:Flexible Multibody DynamicsFormat:PaperbackDimensions:730 pagesPublished:December 1, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9400733879

ISBN - 13:9789400733879


Table of Contents

Part I: Basic tools and concepts: 1. Vectors and tensors.- 2. Coordinate Systems.- 3. Basic Principles.- 4. The Geometric Description of Rotation.- Part II: Rigid Body Dynamics: 5. Kinematics of Rigid Bodies.- 6. Kinetics of Rigid Bodies.- Part III: Concepts of Analytical Dynamics: 7. Basic Concepts of Analytical Dynamics.- 8. Variational and Energy Principles.- Part IV: Constrained Dynamical Systems: 9. Constrained Systems: Preliminaries.- 10. Constrained Systems: classical formulations.- 11. Constrained systems: advanced formulations.- 12. Constrained systems: numerical methods.- Part V: Parameterization of rotation and motion: 13. Parameterization of rotation.- 14. Parameterization of motion.- Part VI: Flexible multibody dynamics: 15. Flexible multibody systems: preliminaries.- 16. Formulation of flexible elements.- 17. Finite element tools.- 18. Mathematical tools.- References.- Index.

Editorial Reviews

From the reviews:"This interesting and comprehensive book covers much more than the title might suggest. . The author has thus taken care to lay out the material in the first parts so that the reader has all notations and concepts clearly understood before delving into flexible multibody dynamics. . key systems are presented early in the text and then studied again later on so as to illustrate the particular content of each chapter. This has great pedagogical value and will undoubtedly be appreciated by students." (Philippe A. Müllhaupt, Mathematical Reviews, Issue 2012 f)"This is a textbook intended for graduate students studying current issues in dynamics. . the author provides numerous examples and guided problems throughout the text. The physical appearance and editing are excellent, with high-quality figures (in color) and quite readable exposition. Purchase by advanced dynamics students, by practitioners, by researchers, and by libraries is highly recommended." (Ronald L. Huston, Zentralblatt MATH, Vol. 1209, 2011)