Xiaoting Rui, Laifeng Yun, Yuqi Lu, Bin He, Guoping Wang

Transfer Matrix Method for Multibody Systems

Theory and Applications

• Gebundenes Buch

Produktbeschreibung

An advanced level introduction to a new method of analyzing multibody dynamics

- An advanced level introduction to 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
- Provides a useful reference for science and technology researchers and engineers with applications in weaponry, aeronautics, astronautics, vehicles and robotics
- Written by an internationally renowned author and research team with many years' experience in multibody systems

Produktdetails

• Verlag: Wiley & Sons
• 1. Auflage
• Seitenzahl: 768
• Erscheinungstermin: 29. November 2018
• Englisch
• Abmessung: 260mm x 183mm x 45mm
• Gewicht: 1608g
• ISBN-13: 9781118724804
• ISBN-10: 1118724801
• Artikelnr.: 41521747

Autorenporträt

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

Inhaltsangabe

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
Method--Discrete 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 Transfer Matrix
Method for Multibody Systems 193 5.10 Numerical Examples of Multibody
System Dynamics 194 6 Transfer Matrix Method for Multi-flexible-body
Systems 199 6.1 Introduction 199 6.2 State Vector, Transfer Equation and
Transfer Matrix 200 6.3 Overall Transfer Equation and Overall Transfer
Matrix 201 6.4 Transfer Matrix of a Planar Beam 201 6.5 Transfer Matrix of
a Spatial Beam 205 6.6 Numerical Examples of Multi-flexible-body System
Dynamics 211 Part III Discrete Time Transfer Matrix Method for Multibody
Systems 217 7 Discrete Time Transfer Matrix Method for Multibody Systems
219 7.1 Introduction 219 7.2 State Vector, Transfer Equation and Transfer
Matrix 221 7.3 Step-by-step Time Integration Method and Linearization 225
7.4 Transfer Matrix of a Planar Rigid Body 235 7.5 Transfer Matrices of
Spatial Rigid Bodies 242 7.6 Transfer Matrices of Planar Hinges 251 7.7
Transfer Matrices of Spatial Hinges 256 7.8 Algorithm of the Discrete Time
Transfer Matrix Method for Multibody Systems 259 7.9 Numerical Examples of
Multibody System Dynamics 259 8 Discrete Time Transfer Matrix Method for
Multi-flexible-body Systems 265 8.1 Introduction 265 8.2 Dynamics of a
Flexible Body with Large Motion 266 8.3 State Vector, Transfer Equation and
Transfer Matrix 276 8.4 Transfer Matrix of a Beam with Large Planar Motion
277 8.5 Transfer Matrices of Smooth Hinges Connected to a Beam with Large
Planar Motion 282 8.6 Transfer Matrices of Spring Hinges Connected to a
Beam with Large Planar Motion 286 8.7 Transfer Matrix of a Fixed Hinge
Connected to a Beam 292 8.8 Dynamics Equation of a Spatial Large Motion
Beam 296 8.9 Transfer Matrix of a Spatial Large Motion Beam 300 8.10
Transfer Matrices of Fixed Hinges Connected to a Beam with Large Spatial
Motion 305 8.11 Transfer Matrices of Smooth Hinges Connected to a Beam with
Large Spatial Motion 309 8.12 Transfer Matrices of Spring Hinges Connected
to a Beam with Large Spatial Motion 313 8.13 Algorithm of the Discrete Time
Transfer Matrix Method for Multi-flexible-body Systems 318 8.14 Planar
Multi-flexible-body System Dynamics 318 8.15 Spatial Multi-flexible-body
System Dynamics 322 9 Transfer Matrix Method for Controlled Multibody
Systems 327 9.1 Introduction 327 9.2 Mixed Transfer Matrix Method for
Multibody Systems 328 9.3 Finite Element Transfer Matrix Method for
Multibody Systems 338 9.4 Finite Segment Transfer Matrix Method for
Multibody Systems 341 9.5 Transfer Matrix Method for Controlled Multibody
Systems I 348 9.6 Transfer Matrix Method for Controlled Multibody Systems
II 362 10 Derivation and Computation of Transfer Matrices 377 10.1
Introduction 377 10.2 Derivation from Dynamics Equations 378 10.3
Derivation from an nth-order Differential Equation 388 10.4 Derivation from
n First-order Differential Equations 398 10.5 Derivation from Stiffness
Matrices 401 10.6 Computational Method of the Transfer Matrix 402 10.7
Improved Algorithm for Eigenvalue Problems 406 10.8 Properties of the
Inverse Matrix of a Transfer Matrix 408 10.9 Riccati Transfer Matrix Method
for Multibody Systems 417 10.10 Stability of the Transfer Matrix Method for
Multibody Systems 428 11 Theorem to Deduce the Overall Transfer Equation
Automatically 433 11.1 Introduction 433 11.2 Topology Figure of Multibody
Systems 433 11.3 Automatic Deduction of the Overall Transfer Equation of a
Closed-loop System 435 11.4 Automatic Deduction of the Overall Transfer
Equation of a Tree System 435 11.5 Automatic Deduction of the Overall
Transfer Equation of a General System 439 11.6 Automatic Deduction Theorem
of the Overall Transfer Equation 442 11.7 Numerical Example of Closed-loop
System Dynamics 443 11.8 Numerical Example of Tree System Dynamics 451 11.9
Numerical Example of Multi-level System Dynamics 470 11.10 Numerical
Example of General System Dynamics 474 Part IV Applications of the Transfer
Matrix Method for Multibody Systems 489 12 Dynamics of Multiple Launch
Rocket Systems 491 12.1 Introduction 491 12.2 Launch Dynamics Model of the
System and its Topology 492 12.3 State Vector, Transfer Equation and
Transfer Matrix 496 12.4 Overall Transfer Equation of the System 502 12.5
Vibration Characteristics of the System 504 12.6 Dynamics Response of the
System 506 12.7 Launch Dynamics Equation and Forces Acting on the System
512 12.8 Dynamics Simulation of the System and its Test Verifying 516 12.9
Low Rocket Consumption Technique for the System Test 533 12.10 High Launch
Precision Technique for the System 541 13 Dynamics of Self-propelled Launch
Systems 545 13.1 Introduction 545 13.2 Dynamics Model of the System and its
Topology 545 13.3 State Vector, Transfer Equation and Transfer Matrix 549
13.4 Overall Transfer Equation of the System 555 13.5 Vibration
Characteristics of the System 555 13.6 Dynamic Response of the System 557
13.7 Launch Dynamic Equations and Forces Analysis 563 13.8 Dynamics
Simulation of the System and its Test Verifying 570 14 Dynamics of
Shipboard Launch Systems 581 14.1 Introduction 581 14.2 Dynamics Model of
Shipboard Launch Systems 581 14.3 State Vector, Transfer Equation and
Transfer Matrix 583 14.4 Overall Transfer Equation of the System 587 14.5
Launch Dynamics Equation and Forces of the System 589 14.6 Solution of
Shipboard Launch System Motion 598 14.7 Dynamics Simulation of the System
and its Test Verifying 599 15 Transfer Matrix Library for Multibody Systems
607 15.1 Introdution 607 15.2 Springs 607 15.3 Rotary Springs 609 15.4
Elastic Hinges 610 15.5 Lumped Mass Vibrating in a Longitudinal Direction
611 15.6 Vibration of Rigid Bodies 612 15.7 Beam with Transverse Vibration
615 15.8 Shaft with Torsional Vibration 620 15.9 Rod with Longitudinal
Vibration 621 15.10 Euler-Bernoulli Beam 622 15.11 Rectangular Plate 624
15.12 Disk 629 15.13 Strip Element of a Two-dimensional Thin Plate 635
15.14 Thick-walled Cylinder 638 15.15 Thin-walled Cylinder 640 15.16
Coordinate Transformation Matrix 642 15.17 Linearization and State Vectors
645 15.18 Spring and Damper Hinges Connected to Rigid Bodies 646 15.19
Smooth Hinges Connected to Rigid Bodies 648 15.20 Rigid Bodies Moving in a
Plane 649 15.21 Spatial Rigid Bodies with Large Motion and Various
Connections 651 15.22 Planar Beam with Large Motion 654 15.23 Spatial Beam
with Large Motion 656 15.24 Fixed Hinges Connected to a Planar Beam with
Large Motion 658 15.25 Fixed Hinges Connected to a Spatial Beam with Large
Motion 660 15.26 Smooth Hinges Connected to a Beam with Large Planar Motion
663 15.27 Smooth Hinges Connected to a Beam with Large Spatial Motion 666
15.28 Elastic Hinges Connected to a Beam with Large Planar Motion 668 15.29
Elastic Hinges Connected to a Beam Moving in Space 672 15.30 Controlled
Elements of a Linear System 675 15.31 Controlled Elements of a General
Time-variable System 676 Appendix I Rotation Formula Around an Axis 681
Appendix II Orientation of a Body-fixed Coordinate System 683 Appendix III
List of Symbols 687 Appendix IV International Academic Communion for the
Transfer Matrix Method for Multibody Systems 693 References 707 Index 729