自激振动

目录
第1章 概论
1.1 自激振动与周期运动
1.2 自振的形成机制
1.3 自振系统的数学模型
1.4 全书内容的简要说明
参考文献
第一部分 自治常微方程的分析方法
第2章 研究自振的几何方法
2.1 相平面和相轨迹
2.2 保守系统的相平面
2.3 非保守系统的相平面
2.4 等倾线法
2.5 稳定极限环与自振
2.6 自振的时间历程与系统参数
2.7 自治系统平衡稳定与自振
2.8 逐点变换法
参考文献
第3章 稳定性方法
3.1 李普诺夫稳定性
3.2 线性动态系统稳定性的代数判据
3.3 临界稳定系统
3.4 结构稳定性和霍普夫分岔
3.5 线性动态系统稳定性的频率判据
3.6 完整力学系统稳定性的二次型判据
参考文献
第4章 研究自振的解析方法
4.1 二阶自治系统的摄动法
4.2 二阶自治系统的平均法
4.3 中心流形和霍普夫分岔定理
参考文献
第5章 闭环控制系统的研究方法
5.1 功能框图和典型环节
5.2 传递函数框图
5.3 线性闭环系统平衡稳定的频率判据
5.4 非线性闭环系统绝对稳定的频率判据
5.5 描述函数法
5.6 线性动力学系统的二次型最优控制
参考文献
第二部分 工程领域的各类自振
第6章 摩擦力激励的自振
6.1 摩擦力的数学模型
6.2 机械系统的颤动现象
6.3 机械系统的追逐现象
6.4 摩擦力引起的非对称惯性耦合
参考文献
第7章 转向轮摆振
7.1 滚动状态的轮胎力
7.2 点接触理论
7.3 转向轮摆振
7.4 汽车前桥系统摆振
参考文献
第8章 转子涡动
8.1 转子平行涡动运动学
8.2 转子平行涡动的物理条件
8.3 转子涡动的原动力
8.4 转子油膜涡动
8.5 同步涡动和超临界涡动
8.6 转子涡动的若干非线性现象
参考文献
第9章 流体激励的自振
9.1 结构涡振
9.2 悬伸输流圆管颤振
9.3 二元机翼的经典颤振
9.4 挠性结构失速颤振
9.5 挠性结构驰振
9.6 管群流体弹性失稳
参考文献
第10章 非线性闭环控制系统的自振
10.1 开关控制的恒温室
10.2 机电型位置伺服系统的自振
10.3 液压伺服系统的自振
参考文献
第三部分 自振的通用研究方法
第11章 自振系统的数学模型及其主动控制
11.1 自振形成机制与正负反馈交替
11.2 功能框图和传递函数框图
11.3 自振原动力的数学描述
11.4 主振体的运动方程
11.5 主振体的离散数学模型
11.6 自振系统的主动控制
参考文献
索引
Chapter 1 Introduction
1.1 Self-Excited Vibration and Periodic Motion
1.2 Interior Mechanism of Self-Excited Vibration
1.3 Mathematical Model of Self-Excited Vibration Systems
1.4 Outline of This Book
Refferences
PART Ⅰ ANALYSING METHODS FOR AUTONOMOUS ORDINARY DIFFERENTIAL EQUATIONS
Chapter 2 Geometric Methods
2.1 Phase Plane and Phase Trajectory
2.2 Phase Plane of Conservative Systkm
2.3 Phase Plane of Nonconservative System
2.4 Isoclinic Method
2.5 Stable Limited Cycle and Self-Excited Vibration
2.6 Time History of Self-Excited Vibration System and Its Parameters
2.7 Equilibrium Stability of Autonomic System and Self-Excited Vibration
2.8 Point by Point Transformation Method
Refferences
Chapter 3 Stability Method
3.1 Lyapunov Stability
3.2 Algebraic Criterion of Linear System Stability
3.3 Critical Stable Systems
3.4 Structual Stability and Hopf Bifurcation
3.5 Frequency Criterion of Linear System Stability
3.6 Quadratic Form Criterion of Holonomic System Stability
Refferences
Chapter 4 Analytic Methods for Approaching Self-Excited Vibration
4.1 Perturbatiot Method of Autonomic Second Order System
4.2 Averaging Method of Autonomic Second Order System
4.3 Center Manifold and Hopf Bifurcation Theorem
Refferences
Chapter 5 Approaching Methods of Closed-Loop Control Systems
5.1 Functional Block and Typical Element
5.2 Transfer Function Block
5.3 Frequency Criterion of Linear Closed-Loop Control Systems
5.4 Frequency Criterion of Nonlinear Closed-Loop Control Systems
5.5 Describing Function Method
5.6 Quadratic Form Optimal Control of Linear Dynamic Systems
Refferences
PART Ⅱ VARIETY OF SELF-EXCITED VIBRATIONS IN ENGINEERING FIELD
Chapter 6 Friction-lnduced Self-Excited Vibration
6.1 Mathematical Model of Friction Force
6.2 Chattering of Mechanical System
6.3 Hunting of Mechanical System
6.4 Nonsymmetric Inertial Coupling from Friction
Refferences
Chapter 7 Shimmy of Steering Wheel
7.1 Tyre Force under Rolling State
7.2 Point Contact Theory
7.3 Shimmy of Steering Wheel
7.4 Shimmy of Front Axle System of Automobile
Refferences
Chapter 8 Rotor Whirl
8.1 Kinematics of Rotor Parallel Whirl
8.2 Physical Condition of Rotor Parallel Whirl
8.3 Motive Force of Rotor Whirl
8.4 Oil Whirl of Rolor
8.5 Synchronized Whirl and Supercritical Whirl
8.6 Some Nonlinear Phenomenon of Rotor Whirl
Refferences
Chapter 9 Flow-Induced Self-Excited Vibration
9.1 Vortex Induced Vibration of Structure
9.2 Flutter of Tubular Cantilever Conveying Fluid
9.3 Classic Flutter of Two Dimensional Wing
9.4 Stalling Flutter of Flexible Structure
9.5 Galloping of Flexible Structure
9.6 Fluid Elastic Dynamic instability of Tube Groups
Refferences
Chapter 10 Self-Excited Vibration of Nonlinear Closed-Loop Control Systems
10.1 Thermostat With Bang-Bang Control
10.2 Self Excited Vibration of Positional Servo System
10.3 Self-Excited Vibration of Hydraulic Servo System
Refferences
PART Ⅲ A GENERAL METHOD FOR STUDYING ANY TYPE OF SELF-EXCITED VIBRATION
Chapter 11 Mathematical Model and Its Active Control of Self-Excited Vibration System
11.1 Excitation Mechanism of Self-Excited Vibration and Switch of positive and negative feedback
11.2 Functional Block and Transfer Function Block
11.3 Mathematical Description of Motive Force
11.4 Motion Equation of Main Vibratory Body
11.5 Discrete Mathematical Model of Main Vibratory Body
11.6 Active Control of Self-Excited Vibration Systems
Refferences
Synoptics