Design of damping systems with required frequency spectrum

Purpose: The presented work extends the task of synthesis with new methods, with particular focus on the method of active and passive synthesis of vibrating damping mechanical systems. This paper is concerned with the formulation and formalisation of the problem of active and passive synthesis of mechanical damping systems. Design/methodology/approach: The work proposes a combination of the synthesis method of vibrating systems with the method of determining the active force as the method for active synthesis of mechanical damping systems and the values of two-terminal damping in case passive synthesis of mechanical damping systems. Findings: The performed active and passive synthesis of restrained systems has demonstrated an ambiguity of synthesis of damping systems. The resulting structures and set system parameters are not the only ones that can be obtained in the case of the assumed frequencies. Research limitations/implications: The scope of discussion is the synthesis of discrete damping systems. Practical implications: The advantage of the proposed method of determining the active force in the system is the ease of its programming. The proposed method can be included in the method of proportional control with force feedback from the state. Originality/value: The document is also an attempt at identifying new opportunities and a direction of research in the design of machine components with a desired frequency spectrum.