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.
By:
Arun Banerjee (American Institute of Aeronautics & Astronautics USA)
Imprint: CRC Press
Country of Publication: United Kingdom
Edition: 2nd edition
Dimensions:
Height: 229mm,
Width: 152mm,
Weight: 910g
ISBN: 9781032139197
ISBN 10: 1032139196
Pages: 388
Publication Date: 19 May 2022
Audience:
Professional and scholarly
,
College/higher education
,
Undergraduate
,
Primary
Format: Hardback
Publisher's Status: Active
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).
