AME 302 Course Outline

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Subject Outline:

1. Systems of First Order Linear Differential Equations
   1. Linear independence, eigenvalues and eigenvectors*
   2. Homogeneous linear systems
   3. Complex eigenvalues
   4. Repeated eigenvalues
2. Multiple Degree of Freedom Vibrations
   1. Unforced vibrations and fundamental modes
   2. Lagrangian dynamics
   3. Principle coordinates
   4. Forced vibration, absorbers and force transmission
   5. Axial, torsional and transverse vibrations
3. Feedback Control Systems
   1. First order plant response under PID control
   2. Definition of Laplace transform
   3. Solutions to initial value problems
      Block diagrams and block diagram algebra
   4. Step response versus pole locations
   5. Time domain specifications for feedback problems
   6. Effects of additional zeros and poles
   7. Routh's stability criterion
4. Stability and frequency domain analysis
   1. Basic pole placement in state space
   2. s-plane connection to state space representation
   3. Root locus method
   4. Frequency domain methods (Bode plots)

* indicates review material.