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A term broadly used to denote either the dissipation of energy in, and the consequent decay of, oscillations of all types or the extent of the dissipation and decay. The energy losses arise from frictional (or analogous) forces which are unavoidable in any system or from the radiation of energy to space or to other systems. For sufficiently small oscillations, the analogous forces are proportional to the velocity of the vibrating member and oppositely directed thereto; the ratio of force to velocity is -R, the mechanical resistance. For the role of damping in the case of forced oscillations, where it is decisive for the frequency response, See Forced oscillation, Resonance (acoustics and mechanics), Harmonic motion, Oscillation, Vibration

An undamped system of mass m and stiffness s oscillates at an angular frequency &ogr;0 = (s/m)1/2. The effect of a mechanical resistance R is twofold: It produces a change in the frequency of oscillation, and it causes the oscillations to decay with time. If u is one of the oscillating quantities (displacement, velocity, acceleration) of amplitude A, then Eq. (1) holds in the damped case, whereas in the undamped case Eq. (2)

holds. The reciprocal time 1/α in Eq. (1) may be called the damping constant.

The damped angular frequency ωd in Eq. (1) is always less than ω0. According to Eq. (1), the amplitude of the oscillation decays exponentially; the time required for the amplitude to decrease to the fraction 1/e of its initial value is equal to 1/α.

A common measure of the damping is the logarithmic decrement δ, defined as the natural logarithm of the ratio of two successive maxima of the decaying sinusoid. If T is the period of the oscillation, then Eq. (3) holds. Then 1/δ is the number

of cycles required for the amplitude to decrease by the factor 1/e in the same way that 1/α is the time required.

The Q of a system is a measure of damping usually defined from energy considerations. The Q is π times the ratio of peak energy stored to energy dissipated per cycle and is equal to π/δ.

If α in Eq. (1) exceeds ω0, then the system is not oscillatory and is said to be overdamped. If the mass is displaced, it returns to its equilibrium position without overshoot, and the return is slower as the ratio α/ω0 increases. If α = ω0 (that is, Q = 1/2), the oscillator is critically damped. In this case, the motion is again nonoscillatory, but the return to equilibrium is faster than for any overdamped case.


Reducing or eliminating reverberation in a room by placing sound-absorbing materials on the walls and ceiling. Also known as soundproofing.
The dissipation of energy in motion of any type, especially oscillatory motion and the consequent reduction or decay of the motion.
The extent of such dissipation and decay.


The dissipation of energy with time, e.g., the dissipation of energy in a mechanical system whose free oscillations decrease with time, resulting in a decrease in its amplitude of vibration.


A technique for stabilizing an electronic or mechanical device by eliminating unwanted or excessive oscillations.
References in periodicals archive ?
Pre and post emergence damping off was determined according to Ziedan (1998).
Efficacy of cultural methods in management of Rhizoctonia damping off of tomato
TABLE 1 Rates and causes of seedling mortality in natural conditions, monitored in transects around parental trees Transect 1 2 3 4 5 6 Number of seedlings 36 31 13 30 18 51 % of dead seedlings 100 90 100 100 100 98 Cause of death Damping off (%) 64 68 69 50 44 46 Herbivory (%) 6 11 0 7 17 18 Uprooting and litterfall (%) 3 0 8 0 0 2 Unknown (%) 27 21 23 43 37 34 Total Control (1) Number of seedlings 179 15 % of dead seedlings 98 100 Cause of death Damping off (%) 55 47 Herbivory (%) 11 13 Uprooting and litterfall (%) 2 0 Unknown (%) 32 40 (1.
Always monitor the seedlings carefully and if necessary the trays and pots should be treated with a copper fungicide if damping off is spotted.
When seedlings germinate they get drawn up towards the light with pale spindly stems that are easy targets for the fungal organisms that cause damping off.
Assuming, however, you have your seedlings and they have avoided damping off (a virus that attacks the young shoots), the next stage is pricking out into a tray after they have produced a second pair of leaves and are large enough to handle.
Seed-starting mix--Because young seedlings are prone to damping off diseases (see below), you'll get better results if you start your seeds in a commercial seed-starting mix.
Do not over-sow Antirrhinums as an excess of seedlings often leads to damping off.
Bio Cheshunt Compound is good for controlling damping off (which makes them collapse).
And when you do, you're far less likely to get fungal infections on plants such as damping off.
ADRIENNE SAYS: They have been killed by a fungal disease called damping off.
And when you do you're far less likely to get fungal infections of the plants such as damping off.