Computer-aided analysis and synthesis of branched mechanical systems

Purpose: The main aim is to present and describe the author’s program supporting the process of analysis and synthesis of discrete vibrating mechanical systems with branched structures. Synthesis of reference concerns the reverse problem and is aimed to obtain the structure and parameters of the system that meets the previously established requirements for the values of vibrations frequencies. Design/methodology/approach: Using the program presented in this paper, it is possible to carry out the synthesis that is understood as designing of the systems. The use of such non-classical method significantly reduces designing time compared to classical methods. An important advantage of the program is a lack of need for the formulation of new mathematical models used to describe the system, with the change of its parameters or structure. The program also facilitates comparison of the passive and active vibration reduction. Findings: The presented software allows comparison of the results of the use of passive and active elements of vibration reduction of the systems under consideration. The analysis shows that active elements reduce the vibration completely and passive elements reduce the vibrations only partially. Research limitations/implications: The scope of considerations is limited to discrete longitudinal vibrating mechanical systems with branched structures containing passive or active elements for reduction of vibrations. Practical implications: The presented methods of synthesis and analysis can be useful for designers and engineers in the design and construction of this type of mechanical systems. Originality/value: The possibilities and operation of the author’s program aiding the synthesis and analysis of discrete mechanical systems are also discussed. By means of this software it is possible to carry out the analysis and synthesis of discrete systems containing both active and passive elements that reduce vibrations.