Read more
Informationen zum Autor Arun Kanti Banerjee, 28 year career at Lockheed Martin Advanced Technology Center (1982 thru 2010), Palo Alto, California, US. Last position - Principal Research Scientist. Main Contribution: Developer of DYNACON, Lockheed's simulation tool for Multi-flexible-body dynamics and Control that has been used for many projects. Dr. Banerjee is one of the foremost experts in the world on the subject of flexible multibody dynamics. Klappentext "This book describes how to build mathematical models of multibody systems with elastic components. Examples of such systems are the human body itself, construction cranes, cars with trailers, helicopters, spacecraft deploying antennas, tethered satellites, and underwater maneuvering vehicles looking for mines while being connected by a cable to a ship"-- Zusammenfassung Arun K. Banerjee is one of the foremost experts in the world on the subject of flexible multibody dynamics. This book describes how to build mathermatical models of multibody systems with elastic components. Inhaltsverzeichnis Preface ix 1 Derivation of Equations of Motion 1 1.1 Available Analytical Methods and the Reason for Choosing Kane's Method 1 1.2 Kane's Method of Deriving Equations of Motion 2 1.2.1 Kane's Equations 4 1.2.2 Simple Example: Equations for a Double Pendulum 4 1.2.3 Equations for a Spinning Spacecraft with Three Rotors, Fuel Slosh, and Nutation Damper 6 1.3 Comparison to Derivation of Equations of Motion by Lagrange's Method 11 1.3.1 Lagrange's Equations in Quasi-Coordinates 14 Reader's Exercise 15 1.4 Kane's Method of Direct Derivation of Linearized Dynamical Equation 16 1.5 Prematurely Linearized Equations and a Posteriori Correction by ad hoc Addition of Geometric Stiffness due to Inertia Loads 19 1.6 Kane's Equations with Undetermined Multipliers for Constrained Motion 21 1.7 Summary of the Equations of Motion with Undetermined Multipliers for Constraints 22 1.8 A Simple Application 23 Appendix 1.A Guidelines for Choosing Efficient Motion Variables in Kane's Method 25 Problem Set 1 27 References 28 2 Deployment, Station-Keeping, and Retrieval of a Flexible Tether Connecting a Satellite to the Shuttle 29 2.1 Equations of Motion of a Tethered Satellite Deployment from the Space Shuttle 30 2.1.1 Kinematical Equations 31 2.1.2 Dynamical Equations 32 2.1.3 Simulation Results 35 2.2 Thruster-Augmented Retrieval of a Tethered Satellite to the Orbiting Shuttle 37 2.2.1 Dynamical Equations 37 2.2.2 Simulation Results 47 2.2.3 Conclusion 47 2.3 Dynamics and Control of Station-Keeping of the Shuttle-Tethered Satellite 47 Appendix 2.A Sliding Impact of a Nose Cap with a Package of Parachute Used for Recovery of a Booster Launching Satellites 49 Appendix 2.B Formation Flying with Multiple Tethered Satellites 53 Appendix 2.C Orbit Boosting of Tethered Satellite Systems by Electrodynamic Forces 55 Problem Set 2 60 References 60 3 Kane's Method of Linearization Applied to the Dynamics of a Beam in Large Overall Motion 63 3.1 Nonlinear Beam Kinematics with Neutral Axis Stretch, Shear, and Torsion 63 3.2 Nonlinear Partial Velocities and Partial Angular Velocities for Correct Linearization 69 3.3 Use of Kane's Method for Direct Derivation of Linearized Dynamical Equations 70 3.4 Simulation Results for a Space-Based Robotic Manipulator 76 3.5 Erroneous Results Obtained Using Vibration Modes in Conventional Analysis 78 Problem Set 3 79 References 82 4 Dynamics of a Plate in Large Overall Motion 83 4.1 Motivating Results of a Simulation 83 4.2 Application of Kane's Methodology for Proper Linearization 85 4.3 Simulation Alg...
