Flexible Multibody Dynamics Efficient Formulations and Applications

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. Examples of such systems include the human body itself, construction cranes, cares with trai...

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Main Author Banerjee, Arun K
Format eBook
LanguageEnglish
Published Newark John Wiley & Sons, Incorporated 2016
Wiley-Blackwell
Edition1
Subjects
Online AccessGet full text
ISBN1119015642
9781119015642
DOI10.1002/9781119015635

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Abstract 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. Examples of such systems include the human body itself, construction cranes, cares with trailers, helicopers, spacecraft deploying antennas, tethered satellites, and underwater maneuvering vehicles. This book provides methods of analysis of complex mechanical systems that can be simulated in less computer time than other methods. It equips the reader with knowledge of algorithms that provide accurate results in reduced simulation time.
AbstractList 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. Examples of such systems include the human body itself, construction cranes, cares with trailers, helicopers, spacecraft deploying antennas, tethered satellites, and underwater maneuvering vehicles. This book provides methods of analysis of complex mechanical systems that can be simulated in less computer time than other methods. It equips the reader with knowledge of algorithms that provide accurate results in reduced simulation time.
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. Examples of such systems include the human body itself, construction cranes, cares with trailers, helicopers, spacecraft deploying antennas, tethered satellites, and underwater maneuvering vehicles. This book provides methods of analysis of complex mechanical systems that can be simulated in less computer time than other methods. It equips the reader with knowledge of algorithms that provide accurate results in reduced simulation time.
Author Banerjee, Arun K
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Snippet 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...
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SubjectTerms Machinery, Dynamics of
Multibody systems
Subtitle Efficient Formulations and Applications
TableOfContents 3.4 Simulation Results for a Space-Based Robotic Manipulator -- 3.5 Erroneous Results Obtained Using Vibration Modes in Conventional Analysis -- Problem Set 3 -- References -- 4 Dynamics of a Plate in Large Overall Motion -- 4.1 Motivating Results of a Simulation -- 4.2 Application of Kane's Methodology for Proper Linearization -- 4.3 Simulation Algorithm -- 4.4 Conclusion -- Appendix 4.A Specialized Modal Integrals -- Problem Set 4 -- References -- 5 Dynamics of an Arbitrary Flexible Body in Large Overall Motion -- 5.1 Dynamical Equations with the Use of Vibration Modes -- 5.2 Compensating for Premature Linearization by Geometric Stiffness due to Inertia Loads -- 5.3 Summary of the Algorithm -- 5.4 Crucial Test and Validation of the Theory in Application -- Appendix 5.A Modal Integrals for an Arbitrary Flexible Body [2] -- Problem Set 5 -- References -- 6 Flexible Multibody Dynamics: Dense Matrix Formulation -- 6.1 Flexible Body System in a Tree Topology -- 6.2 Kinematics of a Joint in a Flexible Multibody Body System -- 6.3 Kinematics and Generalized Inertia Forces for a Flexible Multibody System -- 6.4 Kinematical Recurrence Relations Pertaining to a Body and Its Inboard Body -- 6.5 Generalized Active Forces due to Nominal and Motion-Induced Stiffness -- 6.6 Treatment of Prescribed Motion and Internal Forces -- 6.7 "Ruthless Linearization" for Very Slowly Moving Articulating Flexible Structures -- 6.8 Simulation Results -- Problem Set 6 -- References -- 7 Component Mode Selection and Model Reduction: A Review -- 7.1 Craig-Bampton Component Modes for Constrained Flexible Bodies -- 7.2 Component Modes by Guyan Reduction -- 7.3 Modal Effective Mass -- 7.4 Component Model Reduction by Frequency Filtering -- 7.5 Compensation for Errors due to Model Reduction by Modal Truncation Vectors -- 7.6 Role of Modal Truncation Vectors in Response Analysis
10.2 Motion and Loads Analysis by the Order-n Formulation -- 10.3 Numerical Integration by the Newmark Method -- 10.4 Nonlinear Elastodynamics via the Finite Element Method -- 10.5 Comparison of the Order-n Formulation with the Finite Element Method -- 10.6 Conclusion -- Acknowledgment -- Problem Set 10 -- References -- 11 Variable-n Order-n Formulation for Deployment and Retraction of Beams and Cables with Large Deflection -- 11.1 Beam Discretization -- 11.2 Deployment/Retraction from a Rotating Base -- 11.3 Numerical Simulation of Deployment and Retraction -- 11.4 Deployment of a Cable from a Ship to a Maneuvering Underwater Search Vehicle -- 11.5 Simulation Results -- Problem Set 11 -- References -- 12 Order-n Equations of Flexible Rocket Dynamics -- 12.1 Introduction -- 12.2 Kane's Equation for a Variable Mass Flexible Body -- 12.3 Matrix Form of the Equations for Variable Mass Flexible Body Dynamics -- 12.4 Order-n Algorithm for a Flexible Rocket with Commanded Gimbaled Nozzle Motion -- 12.5 Numerical Simulation of Planar Motion of a Flexible Rocket -- 12.6 Conclusion -- Acknowledgment -- Appendix 12.A Summary Algorithm for Finding Two Gimbal Angle Torques for the Nozzle -- Problem Set 12 -- References -- A Efficient Generalized Speeds for a Single Free-Flying Flexible Body -- Reference -- B A FORTRAN Code of the Order-n Algorithm: Application to an Example -- Index -- EULA
Intro -- TitlePage -- Copyright -- Dedication -- Preface -- 1 Derivation of Equations of Motion -- 1.1 Available Analytical Methods and the Reason for Choosing Kane's Method -- 1.2 Kane's Method of Deriving Equations of Motion -- 1.3 Comparison to Derivation of Equations of Motion by Lagrange's Method -- 1.4 Kane's Method of Direct Derivation of Linearized Dynamical Equation -- 1.5 Prematurely Linearized Equations and a Posteriori Correction by ad hoc Addition of Geometric Stiffness due to Inertia Loads -- 1.6 Kane's Equations with Undetermined Multipliers for Constrained Motion -- 1.7 Summary of the Equations of Motion with Undetermined Multipliers for Constraints -- 1.8 A Simple Application -- Appendix 1. A Guidelines for Choosing Efficient Motion Variables in Kane's Method -- Problem Set 1 -- References -- 2 Deployment, Station-Keeping, and Retrieval of a Flexible Tether Connecting a Satellite to the Shuttle -- 2.1 Equations of Motion of a Tethered Satellite Deployment from the Space Shuttle -- 2.2 Thruster-Augmented Retrieval of a Tethered Satellite to the Orbiting Shuttle -- 2.3 Dynamics and Control of Station-Keeping of the Shuttle-Tethered Satellite -- Appendix 2.A Sliding Impact of a Nose Cap with a Package of Parachute Used for Recovery of a Booster Launching Satellites -- Appendix 2.B Formation Flying with Multiple Tethered Satellites -- Appendix 2.C Orbit Boosting of Tethered Satellite Systems by Electrodynamic Forces -- Problem Set 2 -- References -- 3 Kane's Method of Linearization Applied to the Dynamics of a Beam in Large Overall Motion -- 3.1 Nonlinear Beam Kinematics with Neutral Axis Stretch, Shear, and Torsion -- 3.2 Nonlinear Partial Velocities and Partial Angular Velocities for Correct Linearization -- 3.3 Use of Kane's Method for Direct Derivation of Linearized Dynamical Equations
7.7 Component Mode Synthesis to Form System Modes -- 7.8 Flexible Body Model Reduction by Singular Value Decomposition of Projected System Modes -- 7.9 Deriving Damping Coefficient of Components from Desired System Damping -- Problem Set 7 -- Appendix 7.A Matlab Codes for Structural Dynamics -- 7.10 Conclusion -- References -- 8 Block-Diagonal Formulation for a Flexible Multibody System -- 8.1 Example: Role of Geometric Stiffness due to Interbody Load on a Component -- 8.2 Multibody System with Rigid and Flexible Components -- 8.3 Recurrence Relations for Kinematics -- 8.4 Construction of the Dynamical Equations in a Block-Diagonal Form -- 8.5 Summary of the Block-Diagonal Algorithm for a Tree Configuration -- 8.6 Numerical Results Demonstrating Computational Efficiency -- 8.7 Modification of the Block-Diagonal Formulation to Handle Motion Constraints -- 8.8 Validation of Formulation with Ground Test Results -- 8.9 Conclusion -- Appendix 8. A An Alternative Derivation of Geometric Stiffness due to Inertia Loads -- Problem Set 8 -- References -- 9 Efficient Variables, Recursive Formulation, and Multi-Point Constraints in Flexible Multibody Dynamics -- 9.1 Single Flexible Body Equations in Efficient Variables -- 9.2 Multibody Hinge Kinematics for Efficient Generalized Speeds -- 9.3 Recursive Algorithm for Flexible Multibody Dynamics with Multiple Structural Loops -- 9.4 Explicit Solution of Dynamical Equations Using Motion Constraints -- 9.5 Computational Results and Simulation Efficiency for Moving Multi-Loop Structures -- Acknowledgment -- Appendix 9. A Pseudo-Code for Constrained m-Loop Recursive Algorithm in Efficient Variables -- Problem Set 9 -- References -- 10 Efficient Modeling of Beams with Large Deflection and Large Base Motion -- 10.1 Discrete Modeling for Large Deflection of Beams
Title Flexible Multibody Dynamics
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