This book demonstrates how to formulate the equations of mechanical systems. Providing methods of analysis of complex mechanical systems, the book has a clear focus on efficiency, equipping the reader with knowledge of algorithms that provide accurate results in reduced simulation time.
- The book uses Kane’s method due to its efficiency, and the simple resulting equations it produces in comparison to other methods and extends it with algorithms such as order-n.
- Kane’s method compensates for the errors of premature linearization, which are often inherent within vibrations modes found in a great deal of public domain software.
- Describing how to build mathematical models of multibody systems with elastic components, the book applies this to systems such as construction cranes, trailers, helicopters, spacecraft, tethered satellites, and underwater vehicles.
- It also looks at topics such as vibration, rocket dynamics, simulation of beams, deflection, and matrix formulation.
Flexible Multibody Dynamics will be of interest to students in mechanical engineering, aerospace engineering, applied mechanics and dynamics. It will also be of interest to industry professionals in aerospace engineering, mechanical engineering and construction engineering.
Table of Contents
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
Dr. Banerjee is a leading expert in flexible dynamics. After working in industry for Northrop Services, Martin Marietta Aerospace, Ford Aerospace, and Lockheed-Martin Advanced Technology Research Center, he developed DYNACON, Lockheed-Martin's multi-flexible-body dynamics and control simulation tool. He was awarded 1990 AIAA Engineer of the Year Award in Astronautics, was associate editor for the Journal of Guidance, Control, and Dynamics and is associate fellow of AIAA (American Institute of Aeronautics & Astronautics).