I R Dumb, what is the zeta value? What does it mean in real life?
Zeta is the "damping ratio". It is never the "dampening ratio". Shocks damp movement. Dampening is what happens with things get a little wet.
The damping ratio describes the amount of damping, that is the amount of energy absorbed by the shock. A zeta = 1 is know as "critically damped". Less than 1 is "under damped". Greater than 1 is "over damped".
In real life, an under damped system will oscillate (bounce in a suspension application) until it settles out (decays). This is known as a decaying oscillation. Imagine taking the shocks off a car and driving over a speed bump with one axle. With the shocks removed there is still some damping due to friction in the joints or the rubber bushing (even tires), but it is a small amount relative to the shock. The car will bounce as it goes over the bump, but will eventually stop.
An over damped system never oscillates, but will take a long time to respond. Over damping on rebound can cause the shock to become fully compressed and you can run out of suspension travel while driving, usually fast. Over damping on compression causes a rough ride.
Critical damping is the border between the two. There is no oscillation or overshoot, but the system is slower to respond than the under damped case.
Wikipedia has a nice graph that shows the different damping ratio responses (search "damping ratio"). The Wikipedia article references a "second order response". This is just a way to model (write a formula to describe) the response of a system. It is a very common method using a second order polynomial also known as a quadratic equation. Step response for all kinds of system can be modeled this way from suspension to electronics.
The reason a damping ratio of about 0.7 is targeted in many applications is because this produces almost no decaying oscillation with a slight overshoot (this is the chassis raising slightly above ride height) that is tolerable because of the speed of the response. A faster response would cause too much oscillation and a slower response would just be slower. You want the system to response as fast as possible without too much oscillation. Zeta = 0.7 usually gets you there. This is what helps keep the tire in contact with the ground.
I think using the modeling program is a great approach. Much better than butt dyno. It might feel "good", but maybe it could be "great" and you never know that because the butt dyno says it's "good" and you stop there. Butt dyno are rarely well calibrated in multivariable systems. There is a learning curve, however, and most people don't have the patience or the background to take a more analytical approach.
OP, if you have some experience with Shim ReStackor start a thread about it and what was required to get started tuning your rig with it. The learning curve for modeling suspensions is steep. When people hear terms like "second order response" or "frequency domain" eyes start to glaze over. No one needs to be a system response expert to tune suspension, but the theory is intimidating and when you start reading about it either people don't fully understand it or they understand it really well and their explanations aren't accessible to most people.
The program only seems to be mentioned in a handful of Pirate threads, and non really explain how to use it. It doesn't cost that much relative to what people spend on coil overs and springs and could save many hours wasted tuning shocks and attempting to asses the changes.