How to take mutiple values for a input without having to go to parameters block for a simulink block?

I need to test for different values of spring and damper to get a stable output. I don't know the values of spring and damper, but I know how my output should be in terms of signal. I need to change the values of spring and damper but everytime my result doesn't meet my requirement I need to keep changing my values; this is the hard way to do it. Is there a convienient way to just give the values of spring and damper and just run the model to get the required result ? I hope you get my point.

In other words I want multiple values for my input and a particular input should meet my requirement.

My simulink model is self explanatory.

PFA

[Fangjun Jiang]

That is the purpose of this exercise, to understand the dynamics of the second order system.