When > 0 (equivalent to > 1 or > ), the characteristic equation has two distinct real roots. The displacement solution for this kind of system is,
The displacement plot of an overdamped system would appear as,
The motion of an overdamped system is non-periodic, regardless of the initial conditions. The larger the damping, the longer the time to decay from an initial disturbance.
If the system is heavily damped, , the displacement solution takes the approximate form,