《自激振動：理論、範例及研究方法》是一本書籍，本書試圖揭示一切自激振動共同的形成機制，同時建立分析研究它的統一程式，從而形成這門橫向分支學科的理論體系。全書共分11章，全面論述自激振動及其系統的本質特徵；介紹分析研究自激振動數學模型套用的各種數學方法；介紹工程中典型的和重要的自激振動——從建立數學模型開始，通過分析研究，揭示其成因和影響因素，並指出有效的控制方法；通過歸納分析許多具體自激振動現象的實踐經驗，總結出自激振動現象的共同的成因機制和統一的建模分析程式。
《自激振動:理論、範例及研究方法》可作為力學教師和相關專業研究生的教學和科研參考書，也可作為各類工程（如航天航空、軍工、機械、車輛、化工、土建）技術人員的研究參考書。
基本介紹
- 書名：自激振動：理論、範例及研究方法
- 出版社： 清華大學出版社
- 出版時間：2011年4月1日
- 開本：16
圖書信息,作者簡介,目錄,
圖書信息
外文書名: Self-Excited Vibration:Theory Paradigms and Research Methods
叢書名: 清華大學學術專著
精裝: 399頁
正文語種: 英語
ISBN: 7302242968, 9787302242963
條形碼: 9787302242963
尺寸: 24 x 16 x 2.6 cm
重量: 762 g
作者簡介
丁文鏡，was the Director of the Dynamics and VibrationDivision of the Engineering Mechanics Department of Tsinghua University, China.
目錄
Chapter 1 introduction
1.1 main features of self-excited vibration
1.1.1 natural vibration in conservative systems
1.1.2 forced vibration under periodic excitations
1.1.3 parametric vibration
1.1.4 self-excited vibration
1.2 conversion between forced vibration and self-excited vibration
1.3 excitation mechanisms of self-excited vibration
1.3.1 energy mechanism
1.3.2 feedback mechanism
1.4 a classification of self-excited vibration systems
1.4.1 discrete system
1.4.2 continuous system
1.4.3 hybrid system
1.5 outline of the book
References
Chapter 2 geometrical method
2.1 structure of phase plane
2.2 phase diagrams of conservative systems
2.2.1 phase diagram of a simple pendulum
2.2.2 phase diagram of a conservative system
2.3 phase diagrams of nonconservative systems
2.3.1 phase diagram of damped linear vibrator
2.3.2 phase diagram of damped nonlinear vibrator
2.4 classification of equilibrium points of dynamic systems
2.4.1 linear approximation at equilibrium point
2.4.2 classification of equilibrium points
2.4.3 transition between types of equilibrium points
2.5 the existence of limit cycle of an autonomous system
2.5.1 the index of a closed curve with respect to vector field
2.5.2 theorems about the index of equilibrium point
2.5.3 the index of equilibrium point and limit cycle
2.5.4 the existence of a limit cycle
2.6 soft excitation and hard excitation of self-excited vibration
2.6.1 definition of stability of limit cycle
2.6.2 companion relations
2.6.3 soft excitation and hard excitation
2.7 self-excited vibration in strongly nonlinear systems
2.7.1 waveforms of self-excited vibration
2.7.2 relaxation vibration
2.7.3 self-excited vibration in a non-smooth dynamic system.
2.8 mapping method and its application
2.8.1 poincare map
2.8.2 piecewise linear system
2.8.3 application of the mapping method
References
Chapter 3 stability methods
3.1 stability of equilibrium position
3.1.1 equilibrium position of autonomous system
3.1.2 first approximation equation of a nonlinear autonomous system
3.1.3 definition of stability of equilibrium position
3.1.4 first approximation theorem of stability of equilibrium position
3.2 an algebraic criterion for stability of equilibrium position
3.2.1 eigenvalues of linear ordinary differential equations
3.2.2 distribution of eigenvalues of a asymptotic stable system
3.2.3 hurwitz criterion
3.3 a geometric criterion for stability of equilibrium position
3.3.1 hodograph of complex vector d(ico)
3.3.2 argument of hodograph of complex vector d(ico)
3.3.3 geometric criterion for stability of equilibrium position
3.3.4 coefficient condition corresponding to the second type of critical stability
3.4 parameter condition for stability of equilibrium position
3.4.1 stable region in coefficient space
3.4.2 stable region in parameter space
3.4.3 parameter perturbation on the boundaries of stable region.
3.5 a quadratic form criterion for stability of equilibrium position
3.5.1 linear equations of motion of holonomic system
3.5.2 quadratic form of eigenvectors of a holonomic system
3.5.3 quadratic form criterion for a holonomic system
3.5.4 influence of circulatory force on stability of equilibrium position
References
Chapter 4 quantitative methods
4.1 center manifold
4.1.1 concept of flow
4.1.2 hartman-grobman theorem
4.1.3 center manifold theorem
4.1.4 equation of center manifold
4.2 hopf bifurcation method
4.2.1 poincare-birkhoffnormal form
4.2.2 poincare-andronov-hopfbifurcation theorem
4.2.3 hopf bifurcation method
4.3 lindstedt-poincare method
4.3.1 formulation of equations
4.3.2 periodic solution of the van der poi equation
4.4 an averaging method of second-order autonomous system
4.4.1 formulation of equations
4.4.2 periodic solution of rayleigh equation
4.5 method of multiple scales for a second-order autonomous system
4.5.1 formulation of equation system
4.5.2 formulation of periodic solution
4.5.3 periodic solution of van der pol equation
References
Chapter 5 analysis method for closed-loop system
5.1 mathematical model in frequency domain
5.1.1 concepts related to the closed-loop system
5.1.2 typical components
5.1.3 laplace transformation
5.1.4 transfer function
5.1.5 block diagram of closed-loop systems
5.2 nyquist criterion
5.2.1 frequency response
5.2.2 nyquist criterion
5.2.3 application of nyquist criterion
5.3 a frequency criterion for absolute stability of a nonlinear closed-loop system
5.3.1 absolute stability
5.3.2 block diagram model of nonlinear closed-loop systems
5.3.3 popov theorems
5.3.4 application of popov theorem
5.4 describing function method
5.4.1 basic principle
5.4.2 describing function
5.4.3 amplitude and frequency of self-excited vibration
5.4.4 stability of self-excited vibration
5.4.5 application of describing function method
5.5 quadratic optimal control
5.5.1 quadratic optimal state control
5.5.2 optimal output control
5.5.3 application of quadratic optimal control
References
Chapter 6 stick-slip vibration
6.1 mathematical description of friction force
6.1.1 physical background of friction force
6.1.2 three kinds of mathematical description of friction force
6.2 stick-slip motion
6.2.1 a simple model for studying stick-slip motion
6.2.2 non-smooth limit cycle caused by friction
6.2.3 first type of excitation effects for stick-slip motion
6.3 hunting in flexible transmission devices
6.3.1 a mechanical model and its equation of motion
6.3.2 phase path equations in various stages
of hunting motion
6.3.3 topological structure of the phase diagram
6.3.4 critical parameter equation for the occurrence of hunting
6.4 asymmetric dynamic coupling caused by friction force
6.4.1 mechanical model and equations of motion
6.4.2 stability of constant velocity motion of dynamic system
6.4.3 second type of excitation effect for stick-slip motion
References
Chapter 7 dynamie shimmy of front wheel
7.1 physical background of tire force
7.1.1 tire force
7.1.2 cornering force
7.1.3 analytical description of cornering force
7.1.4 linear model for cornering force
7.2 point contact theory
7.2.1 classification of point contact theory
7.2.2 nonholonomic constraint
7.2.3 potential energy of a rolling tire
7.3 dynamic shimmy of front wheel
7.3.1 isolated front wheel model
7.3.2 stability of front wheel under steady rolling
7.3.3 stable regions in parameter plane
7.3.4 influence of system parameters on dynamic shimmy of front wheel
7.4 dynamic shimmy of front wheel coupled with vehicle
7.4.1 a simplified model of a front wheel system
7.4.2 mathematical model of the front wheel system
7.4.3 stability of steady rolling of the front wheel system
7.4.4 prevention of dynamic shimmy in design stage
References
Chapter 8 rotor whirl
8.1 mechanical model of rotor in planar whiff
8.1.1 classification of rotor whirls
8.1.2 mechanical model of whirling rotor
8.2 fluid-film force
8.2.1 operating mechanism of hydrodynamic bearings
8.2.2 reynolds' equation
8.2.3 pressure distribution on journal surface
8.2.4 linearized fluid film force
8.2.5 concentrated parameter model of fluid film force
8.2.6 linear expressions of seal force
8.3 oil whirl and oil whip
8.3.1 hopfbifurcation leading to oil whirl of rotor
8.3.2 threshold speed and whiff frequency
8.3.3 influence of shaft elasticity on the oil whirl of rotor
8.3.4 influence of external damping on oil whirl
8.3.5 oil whip
8.4 internal damping in deformed rotation shaft
8.4.1 physical background of internal force of rotation shaft
8.4.2 analytical expression of internal force of rotation shaft
8.4.3 three components of internal force of rotation shaft
8.5 rotor whirl excited by internal damping
8.5.1 a simple model of internal damping force of deformed rotating shaft
8.5.2 synchronous whirl of rotor with unbalance
8.5.3 supersynchronous whirl
8.6 cause and prevention of rotor whirl
8.6.1 structure of equation of motion
8.6.2 common causes of two kinds of rotor whirls
8.6.3 preventing the rotor from whirling
References
Chapter 9 self-excited vibrations from interaction of structures and fluid
9.1 vortex resonance in flexible structures
9.1.1 vortex shedding
9.1.2 predominate frequency
9.1.3 wake oscillator model
9.1.4 amplitude prediction
9.1.5 reduction of vortex resonance
9.2 flutter in cantilevered pipe conveying fluid
9.2.1 linear mathematical model
9.2.2 critical parameter condition
9.2.3 hopfbifurcation and critical flow velocity
9.2.4 excitation mechanism and prevention of flutter
9.3 classical flutter in two-dimensional airfoil
9.3.1 a continuous model of long wing
9.3.2 critical flow velocity of classical flutter
9.3.3 excitation mechanism of classical flutter
9.3.4 influence of parameters of the wing on critical speed of classical flutter
9.4 stall flutter in flexible structure
9.4.1 aerodynamic forces exciting stall flutter
9.4.2 a mathematical model of galloping in the flexible structure
9.4.3 critical speed and hysteresis phenomenon of galloping
9.4.4 some features of stall flutter and its prevention schemes
9.5 fluid-elastic instability in array of circular cylinders
9.5.1 fluid-elastic instability
9.5.2 fluid forces depending on motion of circular cylinders
9.5.3 analysis of flow-induced vibration
9.5.4 approximate expressions of critical flow velocity
9.5.5 prediction and prevention of fluid-elastic instability
References
Chapter 10 self-excited oscillations in feedback control system
10.1 heating control system
10.1.1 operating principle of the heating control system
10.1.2 mathematical model of the heating control system
10.1.3 time history of temperature variation
10.1.4 stable limit cycle irrphase plane
10.1.5 amplitude and' frequency of room temperature derivation
10.1.6 an excitation mechanism of self-excited oscillation
10.2 electrical position control system with hysteresis
10.2.1 principle diagram
10.2.2 equations of position control system with hysteresis nonlinearity
10.2.3 phase diagram and point mapping
10.2.4 existence of limit cycle
10.2.5 critical parameter condition
10.3 electrical position control system with hysteresis and dead-zone
10.3.1 equation of motion
10.3.2 phase diagram and point mapping
10.3.3 existence and stability of limit cycle
10.3.4 critical parameter condition
10.4 hydraulic position control system
10.4.1 schematic diagram of a hydraulic actuator
10.4.2 equations of motion of hydraulic position control system
10.4.3 linearized mathematical model
10.4.4 equilibrium stability of hydraulic position control system
10.4.5 amplitude and frequency of self-excited vibration
10.4.6 influence of dead-zone on motion ofhydraulic position control system
10.4.7 influence of hysteresis and dead-zone on motion of hydraulic position control system
10.5 a nonlinear control system under velocity feedback with time delay
References
Chapter 11 modeling and control
11.1 excitation mechanism of self-excited oscillation
11.1.1 an explanation about energy mechanism
11.1.2 an explanation about feedback mechanism
11.1.3 joining of energy and feedback mechanisms
11.2 determine the extent of a mechanical model
11.2.1 minimal model and principle block diagram
11.2.2 first type of extended model
11.2.3 second type of extended model
11.3 mathematical description of motive force
11.3.1 integrate the differential equations of motion of continuum
11.3.2 use of the nonholonomic constraint equations
11.3.3 establishing equivalent model of the motive force
11.3.4 construct the equivalent oscillator of motive force
11.3.5 identification of grey box model
11.3.6 constructing an empiric formula of the motive force
11.4 establish equations of motion of mechanical systems
11.4.1 application of lagrange's equation of motion
11.4.2 application of hamilton's principle
11.4.3 hamilton's principle for open systems
11.5 discretization of mathematical model of a distributed parameter system
11.5.1 lumped parameter method
11.5.2 assumed-modes method
11.5.3 finite element method
11.6 active control for suppressing self-excited vibration
11.6.1 active control of flexible rotor
11.6.2 active control of an airfoil section with flutter
References
subject index
