combining large oscillation with quick damping possible?
You can derive a useful value for dampening, for Q = 1 (zeta &lt;&gt; 1) thusly

XL/R = Q = XC/R

and you must constrain the Frequency to be Fring
which instantly leads to

XL ?? XC = R^2

and you substitute in XL and XC, to find

R = sqrt( L / C )

You embellish the derivation, by inserting a constraint for Q to be other than ONE.
MORE LATER!!