【2015新书】Introduction to Dynamics
Book 图书名称：Introduction to Dynamics
Author 作者：Friedrich Pfeiffer, Thorsten Schindler
Publisher 出版社：Springer
Page 页数：222
Publishing Date 出版时间：Jul 14, 2015
Language 语言：English
Size 大小：3 MB
Format 格式：pdf 文字版
ISBN:3662467208, 9783662467206, 9783662467213
Edition: 第1版 搜索过论坛，没有该文档
Textbook for students and engineers in practice containing all the basic kinematical and kinetic structures in dynamics together with carefully selected applications
Exceeds by far a usual textbook including a variety of examples, solutions, pictures and MATLAB simulations
Comprehensive and detailed textbook leading the student to understand the fundamental laws of kinematics and kinetics and presenting a systematic categorization of vibrations
This concise textbook for students preferably of a postgraduate level, but also for engineers in practice, contains the basic kinematical and kinetic structures of dynamics together with carefully selected applications. The book is a condensed introduction to the fundamental laws of kinematics and kinetics, on the most important principles of mechanics and presents the equations of motion in the form of Lagrange and Newton-Euler. Selected problems of linear and nonlinear dynamics are treated, as well as problems of vibration formation. The presented selection of topics gives a useful basis for stepping into more advanced problems of dynamics. The contents of this book represent the result of a regularly revised course, which has been and still is given for masters students at the Technische Universität München.
== Table of contents ==
Table of contents :
Chapter 1 Basics
1.1 Introduction
1.2 Modeling
1.3 Basic Concepts
1.3.1 Mass
1.3.2 Euler's Cut Principle and Forces
1.3.3 Constraints
1.3.4 Virtual Displacements
1.4 Kinematics
1.4.1 Coordinate Systems and Coordinates
1.4.2 Transformation of Coordinates
1.4.3 Relative Kinematics
1.5 Momentum and Moment of Momentum
1.5.1 General Axioms
1.5.2 Momentum
1.5.3 Moment of Momentum
1.6 Energy
1.7 Principles of d'Alembert and Jourdain
1.7.1 Significance of Constraints
1.7.2 Principle of d'Alembert
1.7.3 Principle of Jourdain
1.8 Newton-Euler Equations for Constrained Systems
1.8.1 Single Rigid Body
1.8.2 System with Multiple Rigid Bodies
1.8.3 Remarks
1.9 Lagrange's Equations
1.9.1 Lagrange's Equations of the First Kind
1.9.2 Lagrange's Equations of the Second Kind
1.10 Hamilton's Equations
1.10.1 Hamilton's Principle
1.10.2 Hamilton's Canonical Equations
1.11 Practical Considerations
Chapter 2 Linear Discrete Models
2.1 Linearization
2.2 Classification of Linear Systems
2.3 Solution Methods
2.3.1 Linear Second-Order Systems
2.3.2 Linear First-Order Systems
2.4 Stability of Linear Systems
2.4.1 Criteria Based on the Characteristic Polynomial
2.4.2 Stability of Mechanical Systems
Chapter 3 Linear Continuous Models
3.1 Models of Continuous Oscillators
3.2 Simple Examples of Continuous Vibrations
3.2.1 Beam as a Bending Vibrator
3.2.2 Beam as a Bending Vibrator with an End Mass
3.2.3 Beam as a Torsional Vibrator with an End Mass
3.2.4 Transverse Vibrations of a String
3.3 Approximation of Continuous Vibration Systems
3.3.1 Function Systems and Completeness
3.3.2 Rayleigh-Ritz Method
3.3.3 Bubnov-Galerkin Method
3.3.4 Boundary Conditions for the Rayleigh-Ritz and Bubnov-Galerkin Method
3.3.5 Choice of Trial Functions
3.3.6 Bending Vibrations of a Beam with Longitudinal Load
3.4 Vibrations of Elastic Multibody Systems
Chapter 4 Methods for Nonlinear Mechanics
4.1 General Remarks
4.2 Phase Space
4.3 A 1-DOF Nonlinear Oscillator
4.3.1 Piecewise Exact Solution
4.3.2 Method of Weighted Residuals
4.3.3 Harmonic Balance
4.3.4 Method of Least Squares
4.3.5 Practical Example
4.4 Stability of Motion
4.4.1 General Stability Definitions
4.4.2 Linear Stability
4.4.3 Stability of Nonlinear Systems
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