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Critical damping viewed as the minimum value of damping that prevents oscillation is a desirable solution to many vibration problems. Increased damping implies more energy dissipation, and more phase lag in the response of a system. Reduced damping means more oscillation, which is often undesirable.
A critically damped oscillation is a system in which the damping force is just enough to prevent oscillations and achieve equilibrium swiftly. This type of damping is considered ideal for many mechanical and structural applications where avoiding prolonged vibrations is crucial.
20 Φεβ 2013 · Damping removes energy from the system and so the amplitude of the oscillations goes to zero over time, regardless of the amount of damping. However, the system can have three qualitatively different behaviors: under-damping, critical damping, and over-damping.
There are examples for under-damped, critically-damped, and over-damped free vibration systems and an under-damped system subjected to sinusoidal forcing (this latter phase-plane is included here for completeness and will be more fully discussed in the Forced Vibration laboratory). These types of
Critically damped refers to a specific condition in a damping system where the damping is just enough to prevent oscillations while allowing the system to return to its equilibrium position in the shortest possible time.
Studies of damping have a major role in vibration isolation in automobiles under random loading due to surface irregularities and buildings subjected to earthquake loadings. The recent developments in the flelds of robotics and active structures have provided impe-
Outline. Damped Oscillations in Terms of Undamped Natural Modes. Space-State Formulation & Analysis of Viscous Damped Systems. Assume that the damping mechanism can be described by a viscous, quadratic, dissipation function in the generalized velocities. 1.
