ME 563 Mechanical Vibrations (3 cr.)
Prerequisites:	ME 272 and ME 340, or equivalent.
Description:	Review of systems with one degree of freedom. Lagrange's equations of motion for multiple-degree-of-freedom systems. Matrix methods. Transfer functions for harmonic response, impulse response, and step response. Convolution integrals for response to arbitrary inputs. Principal frequencies and modes. Applications to critical speeds, measuring instruments, isolation, torsional systems. Nonlinear problems.
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)