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
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).