underdamping


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underdamping

[¦ən·dər¦dam·piŋ]
(physics)
Condition of a system when the amount of damping is sufficiently small so that, when the system is subjected to a single disturbance, either constant or instantaneous, one or more oscillations are executed by the system.
References in periodicals archive ?
The third condition is underdamping with [[zeta].sub.1] < 1 and [alpha] > 1.
It is for this reason that a reasonable interval for stiffness proportional damping ratio [[xi].sub.[beta]] is needed in the relevant simulations to avoid the aforementioned issues induced by both over- and underdamping of high-frequency response.
Therefore, when c > [c.sub.c], it represents the overdamping coefficient, and when c < [c.sub.c], it is the underdamping coefficient.
And the effects of the different damping coefficients including the underdamping coefficients and overdamping coefficients on the SNR are investigated.
Further, the roots are allocated as underdamping form to improve the responsiveness of the control system; then we have
where h(t) = (1/[[omega].sub.d])[e.sup.-[omega][xi]t] sin([[omega].sub.d]t) with [[omega].sub.d] = [omega][square root of 1 - [[xi].sup.2]], assuming underdamping ([xi] < 1).