ENPH 211 Lecture : Vibrations Lecture Slides.pdf
1 Feb 2014
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Vibration or oscillation: any periodic motion, i. e. motion that repeats itself after an interval of time. Free (no external force acts on the system) or forced. Linear (described by linear differential equations) or nonlinear. Deterministic (when we know magnitude of the excitation acting on a system at any given time) or random. Derive equations of motion to describe vibration of the system. Understand the results, i. e. displacements, velocities, accelerations of the various parts of the system. Enph 211 - part 1a spring-mass system simple pendulum torsional system. Any elastic or deformable body such as cable, rod, or beam can be considered a spring. Question: find kinetic energy of a disk (m=4 kg, r=0. 1 m, j=0. 02 kg*m^2) moving with speed v=2 m/sec. When several masses appear in combination and our modeling of a system does not require to analyze them individually, we can replace these masses by a single equivalent mass to simplify the analysis.
