The article considers the problem of making a rational decision when selecting the parameters of shock-vibration mechanisms with a crank-connecting rod oscillation exciter (SCCE). These mechanisms are designed for compaction and processing of various media (soil, sand, concrete, etc.). Mathematical models of the considered mechanisms with SCCE are highly nonlinear dynamic systems with a variable structure of the phase space. The technique uses a bicriteria approach (two generalized criteria - the “cost-quality" principle) to assess the options for the values of the SCCE parameters and the construction of the region of efficient solutions (Pareto front) for the final choice of the decision maker. The dynamic analysis of the mathematical models was carried out by a numerical-analytical method using the method of point mappings of the Poincaré surface into itself. This allowed us to describe possible restructurings of the motion modes of the mechanisms depending on the parameter values using bifurcation diagrams.