1. Explain the concept of modes of vibration, and the difference between single-, two- and multi-degree-of-freedom vibrating systems.[a4]

2. Formulate the equation of motion of a single degree-of-freedom vibration system using Newton's laws of motion. [a1, a4]

3. Formulate the equations of motion of lumped parameter multi-degree-of-freedom systems using Newton's laws of motion. [a2, a4]

4. Formulate the equations of motion of a multi-degree of freedom system using Lagrange’s Equations. [a2, a4]

5. Analytically and numerically predict the dynamic response of a single degree-of-freedom mass-spring-damper system with no force excitation, with harmonic force excitation, and with general force excitation.  [a2, a4, k4]

6. Analytically and numerically predict the dynamic response of 2-DOF systems and multi-degree of freedom systems with no force excitation, with harmonic force excitation, and with general force excitation.  [a2, a4, k4]

7. Explain the difference between free and forced vibration. [a4]

8. Predict the dynamic response of vibrating systems with viscous damping and Coulomb damping. [a2, a4]

9. Analytically predict the dynamic response of cables/strings, beams and membranes. [a2, a4]

10. Determine the mode shapes and natural frequencies of a multi-degree of freedom system. [a2, a4, k4]

11. Control and reduce vibrations using mass balancing techniques, damping, vibrations isolators and vibration absorbers. [a4, k4]

Note: The letters within the brackets indicate the general program outcomes of mechanical engineering. See: ME Program Outcomes.