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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. \00A0 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\2019s, index-1, null space, and Udwadia and Kalaba\2019s 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. \00A0 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
Monografía
monografia Rebiun08128894 https://catalogo.rebiun.org/rebiun/record/Rebiun08128894 cr nn 008mamaa 101029s2011 ne | s |||| 0|eng d 9789400703353 10.1007/978-94-007-0335-3 doi UPVA 996885352703706 UAM 991007780960304211 CBUC 991004877522106711 CBUC 991010403201506709 UCAR 991007923212704213 CBUC 991010403201506709 UR0325203 UPCT u360238 UMO 112005 TRC bicssc TRCS bicssc TEC009090 bisacsh 629.2 23 Bauchau, O. A. Flexible Multibody Dynamics Recurso electrónico-En línea] by O. A. Bauchau Dordrecht Springer Netherlands 2011 Dordrecht Dordrecht Springer Netherlands XXII, 730 p. digital XXII, 730 p. Solid Mechanics and Its Applications 0925-0042 176 Engineering (Springer-11647) 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 Accesible sólo para usuarios de la UPV Recurso a texto completo 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. \00A0 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\2019s, index-1, null space, and Udwadia and Kalaba\2019s 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. \00A0 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 Reproducción electrónica Forma de acceso: Web Engineering Engineering mathematics Mechanics, applied Materials Engineering Automotive Engineering Continuum Mechanics and Mechanics of Materials Appl.Mathematics/Computational Methods of Engineering Computational Intelligence Theoretical and Applied Mechanics SpringerLink (Servicio en línea) Springer eBooks Springer eBooks Printed edition 9789400703346 Solid Mechanics and Its Applications 0925-0042 176