Flexible Multibody Dynamics : Efficient Formulations with Applications book cover
2nd Edition

Flexible Multibody Dynamics
Efficient Formulations with Applications

ISBN 9781032139197
Published May 19, 2022 by CRC Press
406 Pages 141 B/W Illustrations

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Book Description

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

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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).