Abstract
Methods are proposed for investigating complex dynamic systems, whose equilibrium equations are reduced to two coupled inhomogeneous second-order equations with indivisible variables. It is shown that the properties of such mechanical systems can be investigated on the basis of general rules. Relations between the physical parameters of the indicated systems, which substantially simplify cumbersome numerical calculations and lead to simple analytical formulas, have been derived. The methods proposed can be used for investigating the generalities of passive uniaxial vibration dampers.
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