《Mechanics of Vibration》PPT课件 东南大学 Wenjie WANG

 
课件内容： 
Introduction 
Describe briefly the history of vibration; Indicate the importance of study of vibration; Give various classifications of vibration; State the steps involved in vibration analysis. 
1.1 Brief History of the Study of Vibration 
1.2 Importance of the Study of Vibration and Basic Concepts 
1.3 Classification of Vibration and Vibration Analysis Procedure 
Free Vibration of Single-Degree-of-Freedom 
Derive the equation of motion of a single-degree-of-freedom system; Linearize the nonlinear equation of motion; Solve a spring-mass-damper system for different types of free-vibration response; Compute the natural frequency  damped frequency  logarithmic decrement  and time constant. 
2.1 Free Vibration of an Undamped System PartⅠ 
2.2 Free Vibration of an Undamped System Part Ⅱ 
2.3 Energy Method and Rayleigh Method 
2.4 Free Vibration with Viscous Damping Ⅰ 
2.5 Free Vibration with Viscous Damping Ⅱ 
Harmonically Excited Vibration of SDOF systems 
Find the responses of undamped and viscously damped single-degree-of-freedom systems subjected to different types of harmonic force; Understand the variations of magnification factor and phase angles with the frequency of excitation and the phenomena of resonance and beats. 
3.1 Harmonically Excited Vibration of SDOF Systems 
3.2 Response of an Undamped System Under Harmonic Force 
3.3 Response of a Damped System Under Harmonic Force 
3.4 Base Excitation 
3.5 Rotating Unbalance 
3.6 Vibration Measurement Instrument 
Vibration Under General Forcing Condition 
Find the response of SDOF systems subjected to general periodic forces using the Fourier series; Use the method of convolution or Duhamel integral to solve vibration problems of systems subjected to arbitrary forces 
4.1 Response Under a General Periodic Force 
4.2 Response Under a Nonperiodic Force 
Vibration of Two-Degree-of-Freedom (2DOF) Systems 
Formulate the equations of motion of two-degree-of-freedom systems; Compute the eigenvalues or natural frequencies of vibration and the modal vectors; Determine the free-vibration solution using the known initial conditions; Determine the forced-vibration solutions under harmonic forces; Understand the concepts of design techniques for undamped and damped vibration absorbers 
5.1 Introduction 
5.2 Equations of Motion for Forced Vibration 
5.3 Natural Frequencies and Mode Shapes 
5.4 Free Vibration Analysis of an Undamped System 
5.5 Coordinate Coupling and Principal Coordinates 
5.6 Forced-Vibration Analysis 
5.7 Vibration AbsorberⅠ 
5.8 Vibration Absorber Ⅱ 
Vibration of Multi-Degree-of-Freedom (MDOF) Systems 
Formulate the equations of motion of multi-DOF systems; Express the equation of motion in matrix form; Find the natural frequencies of vibration and modal vectors; Determine the free- and forced-vibration response of undamped systems using modal analysis; Use proportional damping to find the response damped systems. 
6.1 Modelling and Equations of MDOF systemsⅠ 
6.2 Modelling and Equations of MDOF systemsⅡ 
6.3 Influence CoefficientsⅠ 
6.4 Influence CoefficientsⅡ 
6.5 Potential and Kinetic Energy Expressions in Matrix Form 
6.6 Eigenvalue ProblemⅠ 
6.7 Eigenvalue ProblemⅡ 
6.8 Unrestrained Systems 
6.9 Free Vibration of Undamped Systems 
6.10 Forced Vibration of MDOF Systems 
Vibration of Continuous Systems 
Derive the equation of motion of a continuous system from the free-body diagram; Find the natural frequencies and mode shapes of the system; Determine the free-vibration solution using a linear superposition of the mode shapes and the initial conditions; Find the free-vibration solutions of string  bar and beam. 
7.1 Transverse Vibration of a String of Cable 
7.2 Longitudinal Vibration of a Bar or Rod 
7.3 Lateral Vibration of Beams