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Newark : John Wiley & Sons, Incorporated, 2018
1 online resource (765 pages)
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ISBN 9781118724835 (electronic bk.)
ISBN 9781118724804
Print version: Rui, Xiaoting Transfer Matrix Method for Multibody Systems Newark : John Wiley & Sons, Incorporated,c2018 ISBN 9781118724804
Intro -- Title Page -- Copyright Page -- Contents -- Introduction -- About the Author -- Foreword One for the Chinese Edition -- Foreword Two for the Chinese Edition -- Foreword Three for the Chinese Edition -- Foreword Four for the Chinese Edition -- Professor Rui’s Method-Discrete Time Transfer Matrix Method for Multibody System Dynamics -- Preface -- Chapter 1 Introduction -- 1.1 The Status of the Multibody System Dynamics Method -- 1.2 The Transfer Matrix Method and the Finite Element Method -- 1.3 The Status of the Transfer Matrix Method for a Multibody System -- 1.4 Features of the Transfer Matrix Method for Multibody Systems -- 1.5 Launch Dynamics -- 1.6 Features of this Book -- 1.7 Sign Conventions -- Part I Transfer Matrix Method for Linear Multibody Systems -- Chapter 2 Transfer Matrix Method for Linear Multibody Systems -- 2.1 Introduction -- 2.2 State Vector, Transfer Equation and Transfer Matrix -- 2.3 Overall Transfer Equation, Overall Transfer Matrix and Boundary Conditions -- 2.4 Characteristic Equation -- 2.5 Computation for State Vector and Vibration Characteristics -- 2.6 Vibration Characteristics of Multibody Systems -- 2.7 Eigenvalues of Damped Vibration -- 2.8 Steady-state Response to Forced Vibration -- 2.9 Steady-state Response of Forced Damped Vibration -- Chapter 3 Augmented Eigenvector and System Response -- 3.1 Introduction -- 3.2 Body Dynamics Equation and Parameter Matrices -- 3.3 Basic Theory of the Orthogonality of Eigenvectors -- 3.4 Augmented Eigenvectors and their Orthogonality -- 3.5 Examples of the Orthogonality of Augmented Eigenvectors -- 3.6 Transient Response of a Multibody System -- 3.7 Steady-state Response of a Damped Multibody System -- 3.8 Steady-state Response of a Multibody System -- 3.9 Static Response of a Multibody System.
10.2 Derivation from Dynamics Equations -- 10.3 Derivation from an nth-order Differential Equation -- 10.4 Derivation from n First-order Differential Equations -- 10.5 Derivation from Stiffness Matrices -- 10.6 Computational Method of the Transfer Matrix -- 10.7 Improved Algorithm for Eigenvalue Problems -- 10.8 Properties of the Inverse Matrix of a Transfer Matrix -- 10.9 Riccati Transfer Matrix Method for Multibody Systems -- 10.10 Stability of the Transfer Matrix Method for Multibody Systems -- Chapter 11 Theorem to Deduce the Overall Transfer Equation Automatically -- 11.1 Introduction -- 11.2 Topology Figure of Multibody Systems -- 11.3 Automatic Deduction of the Overall Transfer Equation of a Closed-loop System -- 11.4 Automatic Deduction of the Overall Transfer Equation of a Tree System -- 11.5 Automatic Deduction of the Overall Transfer Equation of a General System -- 11.6 Automatic Deduction Theorem of the Overall Transfer Equation -- 11.7 Numerical Example of Closed-loop System Dynamics -- 11.8 Numerical Example of Tree System Dynamics -- 11.9 Numerical Example of Multi-level System Dynamics -- 11.10 Numerical Example of General System Dynamics -- Part IV Applications of the Transfer Matrix Method for Multibody Systems -- Chapter 12 Dynamics of Multiple Launch Rocket Systems -- 12.1 Introduction -- 12.2 Launch Dynamics Model of the System and its Topology -- 12.3 State Vector, Transfer Equation and Transfer Matrix -- 12.4 Overall Transfer Equation of the System -- 12.5 Vibration Characteristics of the System -- 12.6 Dynamics Response of the System -- 12.7 Launch Dynamics Equation and Forces Acting on the System -- 12.8 Dynamics Simulation of the System and its Test Verifying -- 12.9 Low Rocket Consumption Technique for the System Test -- 12.10 High Launch Precision Technique for the System.
7.5 Transfer Matrices of Spatial Rigid Bodies -- 7.6 Transfer Matrices of Planar Hinges -- 7.7 Transfer Matrices of Spatial Hinges -- 7.8 Algorithm of the Discrete Time Transfer Matrix Method for Multibody Systems -- 7.9 Numerical Examples of Multibody System Dynamics -- Chapter 8 Discrete Time Transfer Matrix Method for Multi-flexible-body Systems -- 8.1 Introduction -- 8.2 Dynamics of a Flexible Body with Large Motion -- 8.3 State Vector, Transfer Equation and Transfer Matrix -- 8.4 Transfer Matrix of a Beam with Large Planar Motion -- 8.5 Transfer Matrices of Smooth Hinges Connected to a Beam with Large Planar Motion -- 8.6 Transfer Matrices of Spring Hinges Connected to a Beam with Large Planar Motion -- 8.7 Transfer Matrix of a Fixed Hinge Connected to a Beam -- 8.8 Dynamics Equation of a Spatial Large Motion Beam -- 8.9 Transfer Matrix of a Spatial Large Motion Beam -- 8.10 Transfer Matrices of Fixed Hinges Connected to a Beam with Large Spatial Motion -- 8.11 Transfer Matrices of Smooth Hinges Connected to a Beam with Large Spatial Motion -- 8.12 Transfer Matrices of Spring Hinges Connected to a Beam with Large Spatial Motion -- 8.13 Algorithm of the Discrete Time Transfer Matrix Method for Multi-flexible-body Systems -- 8.14 Planar Multi-flexible-body System Dynamics -- 8.15 Spatial Multi-flexible-body System Dynamics -- Chapter 9 Transfer Matrix Method for Controlled Multibody Systems -- 9.1 Introduction -- 9.2 Mixed Transfer Matrix Method for Multibody Systems -- 9.3 Finite Element Transfer Matrix Method for Multibody Systems -- 9.4 Finite Segment Transfer Matrix Method for Multibody Systems -- 9.5 Transfer Matrix Method for Controlled Multibody Systems I -- 9.6 Transfer Matrix Method for Controlled Multibody Systems II -- Chapter 10 Derivation and Computation of Transfer Matrices -- 10.1 Introduction.
Chapter 4 Transfer Matrix Method for Nonlinear and Multidimensional Multibody Systems -- 4.1 Introduction -- 4.2 Incremental Transfer Matrix Method for Nonlinear Systems -- 4.3 Finite Element Transfer Matrix Method for Two-dimensional Systems -- 4.4 Finite Element Riccati Transfer Matrix Method for Two-dimensional Nonlinear Systems -- 4.5 Fourier Series Transfer Matrix Method for Two-dimensional Systems -- 4.6 Finite Difference Transfer Matrix Method for Two-dimensional Systems -- 4.7 Transfer Matrix Method for Two-dimensional Systems -- Part II Transfer Matrix Method for Multibody Systems -- Chapter 5 Transfer Matrix Method for Multi-rigid-body Systems -- 5.1 Introduction -- 5.2 State Vectors, Transfer Equations and Transfer Matrices -- 5.3 Overall Transfer Equation and Overall Transfer Matrix -- 5.4 Transfer Matrix of a Planar Rigid Body -- 5.5 Transfer Matrix of a Spatial Rigid Body -- 5.6 Transfer Matrix of a Planar Hinge -- 5.7 Transfer Matrix of a Spatial Hinge -- 5.8 Transfer Matrix of an Acceleration Hinge -- 5.9 Algorithm of the Transfer Matrix Method for Multibody Systems -- 5.10 Numerical Examples of Multibody System Dynamics -- Chapter 6 Transfer Matrix Method for Multi-flexible-body Systems -- 6.1 Introduction -- 6.2 State Vector, Transfer Equation and Transfer Matrix -- 6.3 Overall Transfer Equation and Overall Transfer Matrix -- 6.4 Transfer Matrix of a Planar Beam -- 6.5 Transfer Matrix of a Spatial Beam -- 6.6 Numerical Examples of Multi-flexible-body System Dynamics -- Part III Discrete Time Transfer Matrix Method for Multibody Systems -- Chapter 7 Discrete Time Transfer Matrix Method for Multibody Systems -- 7.1 Introduction -- 7.2 State Vector, Transfer Equation and Transfer Matrix -- 7.3 Step-by-step Time Integration Method and Linearization -- 7.4 Transfer Matrix of a Planar Rigid Body.
15.25 Fixed Hinges Connected to a Spatial Beam with Large Motion.
Chapter 13 Dynamics of Self-propelled Launch Systems -- 13.1 Introduction -- 13.2 Dynamics Model of the System and its Topology -- 13.3 State Vector, Transfer Equation and Transfer Matrix -- 13.4 Overall Transfer Equation of the System -- 13.5 Vibration Characteristics of the System -- 13.6 Dynamic Response of the System -- 13.7 Launch Dynamic Equations and Forces Analysis -- 13.8 Dynamics Simulation of the System and its Test Verifying -- Chapter 14 Dynamics of Shipboard Launch Systems -- 14.1 Introduction -- 14.2 Dynamics Model of Shipboard Launch Systems -- 14.3 State Vector, Transfer Equation and Transfer Matrix -- 14.4 Overall Transfer Equation of the System -- 14.5 Launch Dynamics Equation and Forces of the System -- 14.6 Solution of Shipboard Launch System Motion -- 14.7 Dynamics Simulation of the System and its Test Verifying -- Chapter 15 Transfer Matrix Library for Multibody Systems -- 15.1 Introdution -- 15.2 Springs -- 15.3 Rotary Springs -- 15.4 Elastic Hinges -- 15.5 Lumped Mass Vibrating in a Longitudinal Direction -- 15.6 Vibration of Rigid Bodies -- 15.7 Beam with Transverse Vibration -- 15.8 Shaft with Torsional Vibration -- 15.9 Rod with Longitudinal Vibration -- 15.10 Euler-Bernoulli Beam -- 15.11 Rectangular Plate -- 15.12 Disk -- 15.13 Strip Element of a Two-dimensional Thin Plate -- 15.14 Thick-walled Cylinder -- 15.15 Thin-walled Cylinder -- 15.16 Coordinate Transformation Matrix -- 15.17 Linearization and State Vectors -- 15.18 Spring and Damper Hinges Connected to Rigid Bodies -- 15.19 Smooth Hinges Connected to Rigid Bodies -- 15.20 Rigid Bodies Moving in a Plane -- 15.21 Spatial Rigid Bodies with Large Motion and Various Connections -- 15.22 Planar Beam with Large Motion -- 15.23 Spatial Beam with Large Motion -- 15.24 Fixed Hinges Connected to a Planar Beam with Large Motion.
001903860
express
(Au-PeEL)EBL5568251
(MiAaPQ)EBC5568251
(OCoLC)1020300467

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