Purpose: The main aim of this paper is to develop a method for finding structure and parameters, i.e. a structural and parameter synthesis, of an active model of a viscous damper mechanical system in vibrations. The aim is to perfect the synthesis seen as modification at the sub-assembly design level in relation to the required spectrum of vibration frequency of the system. Design/methodology/approach: With complex systems classic design is very time consuming and it does not always produce satisfactory results. Therefore, it is necessary to use other design methods, such as the inverse task, which is called synthesis. It is searching for a system structure, together with elements value, which realizes the required frequency characteristics. Findings: Using the active elements allows complete elimination of the oscillations. The conducted analysis show that it is not necessary to use both the active and passive elements, as using only active elements produces the same results. Research limitations/implications: The scope of discussion is reverse task of mechanical system in torsional vibrations including passive and active elements, but for this type of systems, such approach is sufficient. Practical implications: The methods of reverse task and analysis can be base of design and construct for this type of mechanic systems. Originality/value: Thank to the approach, introduced in this paper, can be conducted as early as during the designing of future functions of the system as well as during the construction of the system. Using method and obtained results can be value for designers of mechanical systems with elements reducing vibrations.
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