Chapter 1 Introduction
1.1 Background
1.2 Study of Vibration
1.3 Basic Concepts of Vibration
1.3.1 Degrees of freedom
1.3.2 Newton?s laws
1.3.3 Vibration classification
1.4 Organization of the Book
Questions
Chapter 2 Free Vibration of Single-Degree-Of-Freedom(SDOF) Systems
2.1 The Basic Mechanical Components
2.2 Free Vibration of UndampedSystems
2.2.1 Modelling of undamped SDOF systems
2.2.2 Simple harmonic motion
2.2.3 MATLAB examples
2.2.4 Solution for undamped SDOF systems
2.3 Rotary Systems
2.4 Springs Connected in Series or in Parallel
2.5 Modelling Using Energy Method
2.6 Viscously Damped SDOF Systems
2.6.1 Case 1: Overdamped motion (ζ> 1)
2.6.2 Case 2: Underdamped motion (ζ< 1)
2.6.3 Case 3: Critically damped motion (ζ=1)
2.7 Evaluating Damping Ratio from Measurements (Logarithmic Decrement)
2.8 Summary: the Effects of Damping on an Unforced Mass-spring System
2.9 MATLAB Examples for Free Vibration of SDOF Systems
2.9.1 Free vibration for undamped SDOF systems
2.9.2 Free vibration for underdamped SDOF systems
2.9.3 Free vibration for critical damped SDOF systems
2.9.4 Free vibration for overdamped SDOF systems
2.9.5 The GUI program for free vibration of SDOF system
Questions
Chapter 3 Harmonic Excitation of SDOF Systems
3.1 Harmonic Excitation
3.2 Complex Analysis
3.3 Undamped SDOF System with Harmonic Excitation
3.3.1 Excitation frequency ≠ natural frequency
3.3.2 Excitation frequency=natural frequency (resonant condition)
3.3.3 Response ratio for undamped SDOF system
3.4 Damped SDOF System with Harmonic Excitation
3.4.1 Response for damped SDOF system with harmonic excitation
3.4.2 Dynamic magnification factor for damped SDOF system
3.4.3 Response ratio for β=
3.5 Harmonic Base Excitation
3.5.1 Relative motion
3.5.2 Absolute motion
3.6 Transmissibility of Vibration
3.6.1 Motion transmissibility
3.6.2 Force transmissibility
3.7 Rotating Unbalance
