In playing stringed instruments such as Guitar, Ukulele and Steel Guitar, Damping is the quieting or abrupt silencing of the strings after they have been sounded, by pressing with the edge of the palm, or other parts of the hand such as the fingers on one or more strings near the bridge of the instrument.
An ideal Mass-Spring-Damper system with mass m(kg), spring constant and damper constant can be described with the following formulae:
Where x is the displacement of the centre of the mass. These equations combine to:
This is a second order differential equation in t. It's general solution is:
Where A and φ are determined by the initial position and velocity of the mass. Template:Amth-stub
Dampening can be done the evening before by placing the sheets of paper between two sheets of damp paper (blotting paper) and weighing them down.
Dampening allows the artist to avoid a high printing pressure which is always bad for engraved lines since pressure tends to clog the lines and crush the grained parts of the plate.
Dampening may be done by hanging sheets or rolls of such paper in a metal cabinet along with some wet rags.
Dampening is the gradual reduction the amplitudes of oscillations, which can be observed, e.g., when plucking string of a musical instrument.
The analysis of time series within the interactive computer environment is part of the recent theoretical and methodological developments within data analysis pertaining to social science research which brings the ideal of causal modeling within the grasp of social scientists.
During the time series analysis by alternating autocorrelation analysis with differencing of the successive intervals, the resulting trend is subject to the dampening effect which beomes progressively more pronounced towart the end of the series, as shown in Fig.
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