Damped and Forced Oscillation
I. Mechanics: Lecture 39 | 53:35 min
Oscillation is the repetitive variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. Familiar examples include a swinging pendulum and AC power. The term vibration is sometimes used more narrowly to mean a mechanical oscillation but sometimes is used to be synonymous with oscillation. In real-world systems, the second law of thermodynamics dictates that there is some continual and inevitable conversion of energy into the thermal energy of the environment. Thus, oscillations tend to decay (become damped) with time unless there is some net source of energy into the system. The simplest description of this decay process can be illustrated by oscillation decay of the harmonic oscillator. This transfer typically occurs where systems are embedded in some fluid flow. At sufficiently large displacements, the stiffness of the wing dominates to provide the restoring force that enables an oscillation.
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