Transfer Matrix Method for Multibody Systems

TRANSFER MATRIX METHOD FOR MULTIBODY SYSTEMS: THEORY AND APPLICATIONS Xiaoting Rui, Guoping Wang and Jianshu Zhang - Nanjing University of Science and Technology, China Featuring a new method of multibody system dynamics, this book introduces the transfer matrix method systematically for the first time. First developed by the lead author and his research team, this method has found numerous engineering and technological applications. Readers are first introduced to fundamental concepts like the body dynamics equation, augmented operator and augmented eigenvector before going in depth into precision analysis and computations of eigenvalue problems as well as dynamic responses. The book also covers a combination of mixed methods and practical applications in multiple rocket launch systems, self-propelled artillery as well as launch dynamics of on-ship weaponry. Comprehensively introduces a new method of analyzing multibody dynamics for engineers Provides a logical development of the transfer matrix method as applied to the dynamics of multibody systems that consist of interconnected bodies * Features varied applications in weaponry, aeronautics, astronautics, vehicles and robotics Written by an internationally renowned author and research team with many years' experience in multibody systems Transfer Matrix Method of Multibody System and Its Applications is an advanced level text for researchers and engineers in mechanical system dynamics. It is a comprehensive reference for advanced students and researchers in the related fields of aerospace, vehicle, robotics and weaponry engineering.

Auteur

Xiaoting Rui, Guoping Wang and Jianshu Zhang - Nanjing University of Science and Technology, P. R. China

Texte du rabat
Transfer Matrix Method for Multibody Systems Theory and Applications Featuring a new method of multibody system dynamics, this book introduces the transfer matrix method systematically for the first time. First developed by the lead author and his research team, this method has found numerous engineering and technological applications. Readers are first introduced to fundamental concepts like the body dynamics equation, augmented operator and augmented eigenvector before going in depth into precision analysis and computations of eigenvalue problems as well as dynamic responses. The book also covers a combination of mixed methods and practical applications in multiple rocket launch systems, self-propelled artillery as well as launch dynamics of on-ship weaponry.

• Comprehensively introduces a new method of analyzing multibody dynamics for engineers
• Provides a logical development of the transfer matrix method as applied to the dynamics of multibody systems that consist of interconnected bodies
• Features varied applications in weaponry, aeronautics, astronautics, vehicles and robotics Written by an internationally renowned author and research team with many years' experience in multibody systems, Transfer Matrix Method for Multibody Systems: Theory and Applications is an advanced level text for researchers and engineers in mechanical system dynamics. It is a comprehensive reference for advanced students and researchers in the related fields of aerospace, vehicle, robotics and weaponry engineering.

Résumé
TRANSFER MATRIX METHOD FOR MULTIBODY SYSTEMS: THEORY AND APPLICATIONS

Xiaoting Rui, Guoping Wang and Jianshu Zhang - Nanjing University of Science and Technology, China

Featuring a new method of multibody system dynamics, this book introduces the transfer matrix method systematically for the first time. First developed by the lead author and his research team, this method has found numerous engineering and technological applications. Readers are first introduced to fundamental concepts like the body dynamics equation, augmented operator and augmented eigenvector before going in depth into precision analysis and computations of eigenvalue problems as well as dynamic responses. The book also covers a combination of mixed methods and practical applications in multiple rocket launch systems, self-propelled artillery as well as launch dynamics of on-ship weaponry.

• Comprehensively introduces a new method of analyzing multibody dynamics for engineers

• Provides a logical development of the transfer matrix method as applied to the dynamics of multibody systems that consist of interconnected bodies

• Features varied applications in weaponry, aeronautics, astronautics, vehicles and robotics

Written by an internationally renowned author and research team with many years' experience in multibody systems Transfer Matrix Method of Multibody System and Its Applications is an advanced level text for researchers and engineers in mechanical system dynamics. It is a comprehensive reference for advanced students and researchers in the related fields of aerospace, vehicle, robotics and weaponry engineering.

Contenu

Introduction xi

About the Author xiii

Foreword One for the Chinese Edition xv

Foreword Two for the Chinese Edition xvii

Foreword Three for the Chinese Edition xix

Foreword Four for the Chinese Edition xxi

Professor Rui's MethodDiscrete Time Transfer Matrix Method for Multibody System Dynamics xxiii

Preface xxv

1 Introduction 1

1.1 The Status of the Multibody System Dynamics Method 1

1.2 The Transfer Matrix Method and the Finite Element Method 3

1.3 The Status of the Transfer Matrix Method for a Multibody System 5

1.4 Features of the Transfer Matrix Method for Multibody Systems 7

1.5 Launch Dynamics 12

1.6 Features of this Book 13

1.7 Sign Conventions 14

Part I Transfer Matrix Method for Linear Multibody Systems 19

2 Transfer Matrix Method for Linear Multibody Systems 21

2.1 Introduction 21

2.2 State Vector, Transfer Equation and Transfer Matrix 22

2.3 Overall Transfer Equation, Overall Transfer Matrix and Boundary Conditions 31

2.4 Characteristic Equation 32

2.5 Computation for State Vector and Vibration Characteristics 36

2.6 Vibration Characteristics of Multibody Systems 41

2.7 Eigenvalues of Damped Vibration 56

2.8 Steady-state Response to Forced Vibration 63

2.9 Steady-state Response of Forced Damped Vibration 70

3 Augmented Eigenvector and System Response 79

3.1 Introduction 79

3.2 Body Dynamics Equation and Parameter Matrices 80

3.3 Basic Theory of the Orthogonality of Eigenvectors 83

3.4 Augmented Eigenvectors and their Orthogonality 86

3.5 Examples of the Orthogonality of Augmented Eigenvectors 96

3.6 Transient Response of a Multibody System 102

3.7 Steady-state Response of a Damped Multibody System 111

3.8 Steady-state Response of a Multibody System 117

3.9 Static Response of a Multibody System 124

4 Transfer Matrix Method for Nonlinear and Multidimensional Multibody Systems 129

4.1 Introduction 129

4.2 Incremental Transfer Matrix Method for Nonlinear Systems 129

4.3 Finite Element Transfer Matrix Method for Two-dimensional Systems 140

4.4 Finite Element Riccati Transfer Matrix Method for Two-dimensional Nonlinear Systems 154

4.5 Fourier Series Transfer Matrix Method for Two-dimensional Systems 162

4.6 Finite Difference Transfer Matrix Method for Two-dimensional Systems 167

4.7 Transfer Matrix Method for Two-dimensional Systems 170

Part II Transfer Matrix Method for Multibody Systems 181

5 Transfer Matrix Method for Multi-rigid-body Systems 183

5.1 Introduction 183

5.2 State Vectors, Transfer Equations and Transfer Matrices 184

5.3 Overall Transfer Equation and Overall Transfer Matrix 185

5.4 Transfer Matrix of a Planar Rigid Body 185

5.5 Transfer Matrix of a Spatial Rigid Body 187

5.6 Transfer Matrix of a Planar Hinge 188

5.7 Transfer Matrix of a Spatial Hinge 189

5.8 Transfer Matrix of an Acceleration Hinge 192

5.9 Algorithm of the Tr…