Course Description: This course is a graduate level
introduction of the theory of mechanical vibrations with application to
simple machine and structural members. The general rules of vibration
behavior are developed through theoretical models and laboratory
exercises.
Course Objectives: To develop an understanding of
typical vibration concepts and phenomenon. To develop means to control
vibrations. To formulate industrial dynamic problems in terms of vibration
models. To recognize standard vibration response to excitation.To
illustrate vibration solutions to practucal vibration problems such as AC
motor induced vibrations, vibration isolation of a large press, a walking
home appliance, controling high speed robots, excessive agricultural
equipemnt vibration due to poor design, power line vibrations, mysterious
aircraft carrier vibration, etc.
Course Outline by Topical Areas:
| Periodic Motion, Terminology, SDOF Model
|
| Equations of motion, energy methods
|
| LP(1) Fourier Series and Digital Analysis
|
| Rayleigh Beam Method and Portal Frames
Model |
| Damping Models Viscous and Coulomb
|
| Whirling Shafts and counter whirl
|
| Support motion and Vibration isolation
|
| LP(2) Natural Frequency and Damping
|
| Finite Difference Numerical Iteration
|
| 2 DOF Systems, Coordinate Coupling
|
| Forced Vibration Response
|
| Finite Difference for Systems of Equations
|
|
Influence and Stiffness Coefficients
|
| AC Motor Induced Vibration & Flow
Induced Vibrations |
| Using FRF's in Vibration Isolation
|
| FRF Concepts and Substructuring
|
| LP(5) Input-Output Frequency Response
Functions |
| String, Axial, Torsional Vibration Model
|
| Example of Springs and Spring Force
|
| The Euler Beam Equation with Tension
|
| LP(6) Driving Point and Transfer
Accelerance of a free-free beam |
| Course Project: Dynamic Model of a Beam on
Springs |
