ME 474 Vibration Analysis (3 cr.)


Prerequisites: ME 272, ME 274, ME 330

Textbooks: S.S. Rao, Mechanical Vibrations, Third Edition, Addison Wesley, 1995.

Description: Introduction to simple vibratory motions, such as undamped and damped free and forced vibrations, vibratory systems with more than one degree of freedom, Coulomb damping, transverse vibration of beams, torsional vibration, critical speed of shafts, and applications.

Goals: To teach students a basic knowledge of point mass vibratory systems and vibration of elastic bodies.

Outcomes:
Topics:   1. Free vibration of a single degree freedom of undamped and damped systems of a mass and a spring, torsional vibration of a single degree freedom (5 classes)
  2. Single degree of freedom of forced vibration of spring mass system, forced torsional vibrations, whirling of rotating shafts (4 classes)
  3. Vibration of system with Coulomb damping (2 classes)
  4. Two degrees of freedom of free vibration without damping (2 classes)
  5. Two degrees of freedom of forced vibration without damping (2 classes)
  6. Introduction to Rayleigh principle for an approximate determination of natural frequency (2 classes)
  7. Introduction to vibration of elastic bodies such as rods, torsional members, beams, membranes (4 classes)
  8. Transient vibration (3 classes)
  9. Energy technique, an introduction to Langrange's equations (3 classes)
10. Experimental modal analysis (2 classes)