808 bass drum schematic : explanation
I'd download LTSpice and get to grips with how to use it. Once you have got a circuit drawn you can do transient analysis (or AC analysis) and with simple op-amp circuits get really good results.

Yes, there is a steep learning curve but it has to be done if you wish to improve your repertoire - I use a different suite of simulation tools but I've used LTS in the past and basically, I can say, that using a simulator cuts out at least one PCB iteration.