Introduction Background Material on Dynamics and Vibrations Chapter 1 Derivation of Equations of Motion. Chapter 2 Deployment, Station-Keeping, and Retrieval of a Flexible Tether Connecting a Satellite to the Shuttle Chapter 3 Kane's Method of Linearization Applied to the Dynamics of a Beam in Large Overall Motion Chapter 4 Dynamics of a Plate in Large Overall Motion Chapter 5 Dynamics of an Arbitrary Flexible Body in Large Overall Motion Chapter 6 Flexible Multibody Dynamics: Dense Matrix Formulation Chapter 7 Component Mode Selection and Model Reduction: A Review Chapter 8 Block-Diagonal Mass Matrix Formulation of Equations of Motion for Flexible Multibody Systems Chapter 9 Efficient Variables, Recursive Formulation, and Multi-Loop Constraints in Flexible Multibody Dynamics Chapter 10 An Order-n Formulation for Beams with Undergoing Large Deflection and Large Base Motion. Chapter 11 Deployment/Retraction of Beams and Cables from Moving Vehicles: Small Deflection Analysis, and Variable-N Order-N Formulations for Large Deflection Chapter 12 Flexible Rocket Dynamics, Using Geometric Softness and a Block-Diagonal Mass Matrix Chapter 13 Large Amplitude Fuel Slosh in Spacecraft in Large Overall Motion Appendix A: Modal Integrals for an Arbitrary Flexible Body Appendix B: Flexible Multibody Dynamics for Small Overall Motion Appendix C: A FORTRAN Code of the Order-n Algorithm: Application to an Example.