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New branched vibrating systems as result of synthesis of selected class of characteristics

Buchacz A.

Journal of Achievements in Materials and Manufacturing Engineering

2007

Vol. 23, nr 1

15-22

Purpose: of this paper is the application of the synthesis method according to realization of mobility or immobility function into partial fraction when the level of the denominator of characteristic is higher than the level of its numerator. Design/methodology/approach: was formulated and formalized by the problem of obtaining the "new" discrete vibrating mechanical systems with branched structures. The models of mechanical systems were represented by polar graphs. The reverse problem of dynamics of defined class of vibrating mechanical systems was also formalized and solved. Findings: this study is that the same class of polar graph is a model of mechanical system with "old" and "new" branched structure. Obtaining structures of graphs as models of mechanical systems are a physical realization of dynamical characteristics, which may be considered as the immobility or mobility function. Research limitations/implications: is that the linear vibrating discrete mechanical systems with branched structures were considered. Practical implications: of this researches was that another approach was presented, which that means unclassical method of modeling of different structures of mechanical systems in form of polar graphs was used. The used method of synthesis and the obtained results can be of some value for designers of designated class of vibrating mechanical systems. Originality/value: of this paper is that the only one polar graph is obtained as a model of not only one mechanical system. The results are obtained after distribution of two dynamical characteristics into partial fraction of finding structures of mechanical systems. This approach is other than those considered elsewhere.