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Transfer Matrix Method for Multibody Systems: Theory and Applications [Hardback]

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  • Formāts: Hardback, 768 pages, height x width x depth: 257x185x41 mm, weight: 1406 g
  • Izdošanas datums: 14-Dec-2018
  • Izdevniecība: John Wiley & Sons Inc
  • ISBN-10: 1118724801
  • ISBN-13: 9781118724804
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Transfer Matrix Method for Multibody Systems: Theory and ApplicationsPalielināt
  • Formāts: Hardback, 768 pages, height x width x depth: 257x185x41 mm, weight: 1406 g
  • Izdošanas datums: 14-Dec-2018
  • Izdevniecība: John Wiley & Sons Inc
  • ISBN-10: 1118724801
  • ISBN-13: 9781118724804
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9781118724804.html
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. 
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(18)
1.1 The Status of the Multibody System Dynamics Method
1(2)
1.2 The Transfer Matrix Method and the Finite Element Method
3(2)
1.3 The Status of the Transfer Matrix Method for a Multibody System
5(2)
1.4 Features of the Transfer Matrix Method for Multibody Systems
7(5)
1.5 Launch Dynamics
12(1)
1.6 Features of this Book
13(1)
1.7 Sign Conventions
14(5)
Part I Transfer Matrix Method for Linear Multibody Systems
19(162)
2 Transfer Matrix Method for Linear Multibody Systems
21(58)
2.1 Introduction
21(1)
2.2 State Vector, Transfer Equation and Transfer Matrix
22(9)
2.3 Overall Transfer Equation, Overall Transfer Matrix and Boundary Conditions
31(1)
2.4 Characteristic Equation
32(4)
2.5 Computation for State Vector and Vibration Characteristics
36(5)
2.6 Vibration Characteristics of Multibody Systems
41(15)
2.7 Eigenvalues of Damped Vibration
56(7)
2.8 Steady-state Response to Forced Vibration
63(7)
2.9 Steady-state Response of Forced Damped Vibration
70(9)
3 Augmented Eigenvector and System Response
79(50)
3.1 Introduction
79(1)
3.2 Body Dynamics Equation and Parameter Matrices
80(3)
3.3 Basic Theory of the Orthogonality of Eigenvectors
83(3)
3.4 Augmented Eigenvectors and their Orthogonality
86(10)
3.5 Examples of the Orthogonality of Augmented Eigenvectors
96(6)
3.6 Transient Response of a Multibody System
102(9)
3.7 Steady-state Response of a Damped Multibody System
111(6)
3.8 Steady-state Response of a Multibody System
117(7)
3.9 Static Response of a Multibody System
124(5)
4 Transfer Matrix Method for Nonlinear and Multidimensional Multibody Systems
129(52)
4.1 Introduction
129(1)
4.2 Incremental Transfer Matrix Method for Nonlinear Systems
129(11)
4.3 Finite Element Transfer Matrix Method for Two-dimensional Systems
140(14)
4.4 Finite Element Riccati Transfer Matrix Method for Two-dimensional Nonlinear Systems
154(8)
4.5 Fourier Series Transfer Matrix Method for Two-dimensional Systems
162(5)
4.6 Finite Difference Transfer Matrix Method for Two-dimensional Systems
167(3)
4.7 Transfer Matrix Method for Two-dimensional Systems
170(11)
Part II Transfer Matrix Method for Multibody Systems
181(36)
5 Transfer Matrix Method for Multi-rigid-body Systems
183(16)
5.1 Introduction
183(1)
5.2 State Vectors, Transfer Equations and Transfer Matrices
184(1)
5.3 Overall Transfer Equation and Overall Transfer Matrix
185(1)
5.4 Transfer Matrix of a Planar Rigid Body
185(2)
5.5 Transfer Matrix of a Spatial Rigid Body
187(1)
5.6 Transfer Matrix of a Planar Hinge
188(1)
5.7 Transfer Matrix of a Spatial Hinge
189(3)
5.8 Transfer Matrix of an Acceleration Hinge
192(1)
5.9 Algorithm of the Transfer Matrix Method for Multibody Systems
193(1)
5.10 Numerical Examples of Multibody System Dynamics
194(5)
6 Transfer Matrix Method for Multi-flexible-body Systems
199(18)
6.1 Introduction
199(1)
6.2 State Vector, Transfer Equation and Transfer Matrix
200(1)
6.3 Overall Transfer Equation and Overall Transfer Matrix
201(1)
6.4 Transfer Matrix of a Planar Beam
201(4)
6.5 Transfer Matrix of a Spatial Beam
205(6)
6.6 Numerical Examples of Multi-flexible-body System Dynamics
211(6)
Part III Discrete Time Transfer Matrix Method for Multibody Systems
217(272)
7 Discrete Time Transfer Matrix Method for Multibody Systems
219(46)
7.1 Introduction
219(2)
7.2 State Vector, Transfer Equation and Transfer Matrix
221(4)
7.3 Step-by-step Time Integration Method and Linearization
225(10)
7.4 Transfer Matrix of a Planar Rigid Body
235(7)
7.5 Transfer Matrices of Spatial Rigid Bodies
242(9)
7.6 Transfer Matrices of Planar Hinges
251(5)
7.7 Transfer Matrices of Spatial Hinges
256(3)
7.8 Algorithm of the Discrete Time Transfer Matrix Method for Multibody Systems
259(1)
7.9 Numerical Examples of Multibody System Dynamics
259(6)
8 Discrete Time Transfer Matrix Method for Multi-flexible-body Systems
265(62)
8.1 Introduction
265(1)
8.2 Dynamics of a Flexible Body with Large Motion
266(10)
8.3 State Vector, Transfer Equation and Transfer Matrix
276(1)
8.4 Transfer Matrix of a Beam with Large Planar Motion
277(5)
8.5 Transfer Matrices of Smooth Hinges Connected to a Beam with Large Planar Motion
282(4)
8.6 Transfer Matrices of Spring Hinges Connected to a Beam with Large Planar Motion
286(6)
8.7 Transfer Matrix of a Fixed Hinge Connected to a Beam
292(4)
8.8 Dynamics Equation of a Spatial Large Motion Beam
296(4)
8.9 Transfer Matrix of a Spatial Large Motion Beam
300(5)
8.10 Transfer Matrices of Fixed Hinges Connected to a Beam with Large Spatial Motion
305(4)
8.11 Transfer Matrices of Smooth Hinges Connected to a Beam with Large Spatial Motion
309(4)
8.12 Transfer Matrices of Spring Hinges Connected to a Beam with Large Spatial Motion
313(5)
8.13 Algorithm of the Discrete Time Transfer Matrix Method for Multi-flexible-body Systems
318(1)
8.14 Planar Multi-flexible-body System Dynamics
318(4)
8.15 Spatial Multi-flexible-body System Dynamics
322(5)
9 Transfer Matrix Method for Controlled Multibody Systems
327(50)
9.1 Introduction
327(1)
9.2 Mixed Transfer Matrix Method for Multibody Systems
328(10)
9.3 Finite Element Transfer Matrix Method for Multibody Systems
338(3)
9.4 Finite Segment Transfer Matrix Method for Multibody Systems
341(7)
9.5 Transfer Matrix Method for Controlled Multibody Systems I
348(14)
9.6 Transfer Matrix Method for Controlled Multibody Systems II
362(15)
10 Derivation and Computation of Transfer Matrices
377(56)
10.1 Introduction
377(1)
10.2 Derivation from Dynamics Equations
378(10)
10.3 Derivation from an wth-order Differential Equation
388(10)
10.4 Derivation from n First-order Differential Equations
398(3)
10.5 Derivation from Stiffness Matrices
401(1)
10.6 Computational Method of the Transfer Matrix
402(4)
10.7 Improved Algorithm for Eigenvalue Problems
406(2)
10.8 Properties of the Inverse Matrix of a Transfer Matrix
408(9)
10.9 Riccati Transfer Matrix Method for Multibody Systems
417(11)
10.10 Stability of the Transfer Matrix Method for Multibody Systems
428(5)
11 Theorem to Deduce the Overall Transfer Equation Automatically
433(56)
11.1 Introduction
433(1)
11.2 Topology Figure of Multibody Systems
433(2)
11.3 Automatic Deduction of the Overall Transfer Equation of a Closed-loop System
435(1)
11.4 Automatic Deduction of the Overall Transfer Equation of a Tree System
435(4)
11.5 Automatic Deduction of the Overall Transfer Equation of a General System
439(3)
11.6 Automatic Deduction Theorem of the Overall Transfer Equation
442(1)
11.7 Numerical Example of Closed-loop System Dynamics
443(8)
11.8 Numerical Example of Tree System Dynamics
451(19)
11.9 Numerical Example of Multi-level System Dynamics
470(4)
11.10 Numerical Example of General System Dynamics
474(15)
Part IV Applications of the Transfer Matrix Method for Multibody Systems
489(192)
12 Dynamics of Multiple Launch Rocket Systems
491(54)
12.1 Introduction
491(1)
12.2 Launch Dynamics Model of the System and its Topology
492(4)
12.3 State Vector, Transfer Equation and Transfer Matrix
496(6)
12.4 Overall Transfer Equation of the System
502(2)
12.5 Vibration Characteristics of the System
504(2)
12.6 Dynamics Response of the System
506(6)
12.7 Launch Dynamics Equation and Forces Acting on the System
512(4)
12.8 Dynamics Simulation of the System and its Test Verifying
516(17)
12.9 Low Rocket Consumption Technique for the System Test
533(8)
12.10 High Launch Precision Technique for the System
541(4)
13 Dynamics of Self-propelled Launch Systems
545(1)
13.1 Introduction
545(1)
13.2 Dynamics Model of the System and its Topology
545(4)
13.3 State Vector, Transfer Equation and Transfer Matrix
549(6)
13.4 Overall Transfer Equation of the System
555(1)
13.5 Vibration Characteristics of the System
555(2)
13.6 Dynamic Response of the System
557(6)
13.7 Launch Dynamic Equations and Forces Analysis
563(7)
13.8 Dynamics Simulation of the System and its Test Verifying
570(11)
14 Dynamics of Shipboard Launch Systems
581(26)
14.1 Introduction
581(1)
14.2 Dynamics Model of Shipboard Launch Systems
581(2)
14.3 State Vector, Transfer Equation and Transfer Matrix
583(4)
14.4 Overall Transfer Equation of the System
587(2)
14.5 Launch Dynamics Equation and Forces of the System
589(9)
14.6 Solution of Shipboard Launch System Motion
598(1)
14.7 Dynamics Simulation of the System and its Test Verifying
599(8)
15 Transfer Matrix Library for Multibody Systems
607(74)
15.1 Introdution
607(1)
15.2 Springs
607(2)
15.3 Rotary Springs
609(1)
15.4 Elastic Hinges
610(1)
15.5 Lumped Mass Vibrating in a Longitudinal Direction
611(1)
15.6 Vibration of Rigid Bodies
612(3)
15.7 Beam with Transverse Vibration
615(5)
15.8 Shaft with Torsional Vibration
620(1)
15.9 Rod with Longitudinal Vibration
621(1)
15.10 Euler-Bernoulli Beam
622(2)
15.11 Rectangular Plate
624(5)
15.12 Disk
629(6)
15.13 Strip Element of a Two-dimensional Thin Plate
635(3)
15.14 Thick-walled Cylinder
638(2)
15.15 Thin-walled Cylinder
640(2)
15.16 Coordinate Transformation Matrix
642(3)
15.17 Linearization and State Vectors
645(1)
15.18 Spring and Damper Hinges Connected to Rigid Bodies
646(2)
15.19 Smooth Hinges Connected to Rigid Bodies
648(1)
15.20 Rigid Bodies Moving in a Plane
649(2)
15.21 Spatial Rigid Bodies with Large Motion and Various Connections
651(3)
15.22 Planar Beam with Large Motion
654(2)
15.23 Spatial Beam with Large Motion
656(2)
15.24 Fixed Hinges Connected to a Planar Beam with Large Motion
658(2)
15.25 Fixed Hinges Connected to a Spatial Beam with Large Motion
660(3)
15.26 Smooth Hinges Connected to a Beam with Large Planar Motion
663(3)
15.27 Smooth Hinges Connected to a Beam with Large Spatial Motion
666(2)
15.28 Elastic Hinges Connected to a Beam with Large Planar Motion
668(4)
15.29 Elastic Hinges Connected to a Beam Moving in Space
672(3)
15.30 Controlled Elements of a Linear System
675(1)
15.31 Controlled Elements of a General Time-variable System
676(5)
Appendix I Rotation Formula Around an Axis 681(2)
Appendix II Orientation of a Body-fixed Coordinate System 683(4)
Appendix III List of Symbols 687(6)
Appendix IV International Academic Communion for the Transfer Matrix Method for Multibody Systems 693(14)
References 707(22)
Index 729
Xiaoting Rui, Guoping Wang and Jianshu Zhang - Nanjing University of Science and Technology, P. R. China