Transfer matrix method for multibody systems : theory and applications

Transfer matrix method for multibody systems theory and applications

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 t...

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Bibliographic Details
Other Authors: Rui, Xiaoting, author (author), Wang, Guoping, 1976 November 4- author, Zhang, Jianshu, 1986- author
Format: eBook
Language:Inglés
Published: Hoboken, NJ : Wiley 2019.
Edition:1st edition
Subjects:
Mechanics, Analytic.
Matrices.
Multibody systems.
See on Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009631583206719
Table of Contents:
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 15.25 Fixed Hinges Connected to a Spatial Beam with Large Motion.

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