Abstract: An analytical methodology for the specification of progressive optimal compression damping of a damper of a suspension system to negotiate a multiplicity of severe events, yet provides very acceptable ride quality and handling during routine events. The damping response of the damper is optimized based upon a progressive optimal constrained events damping function derived from a low envelope curve incorporated with a predetermined damper force acting on the wheel center below a predetermined wheel center velocity, u1, based on ride and handling considerations for a given vehicle or vehicle model according to the prior art methodology, whereby the low envelope curve is constructed utilizing a one degree of freedom nonlinear mechanical system model or a quarter car nonlinear mechanical system model.