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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.

Remodelling of vibrating systems via frequency-domain-based virtual distortion method

Mróz M., Holnicki-Szulc J.

Mechanics / AGH University of Science and Technology

2005

Vol. 24, no. 2

124-129

The paper deals with Virtual Distortion Method (VDM) in frequency domain. VDM method is addressed to problems, where steady state response can be the base of the dynamical analysis. The VDM methodology allows fast modification of the original structures without need of modifications of their stiffness, damping and mass matrices. The present work contains the methodology of the new approach, some numerical results of computations and optimization problem. Finally the analysis of sensibility is formulated.

Niniejszy artykuł zajmuje się Metodą Dystorsji Wirtualnych (MDW) w dziedzinie częstotliwości. MDW odnosi się do problemów dynamicznych, w których odpowiedź jest ustalona w czasie. MDW pozwala na szybką modyfikację konstrukcji bez konieczności modyfikacji całej macierzy sztywności, tłumienia czy masy. Praca zawiera sformułowanie nowego podejścia, wyniki obliczeń numerycznych, a także sformułowanie problemu optymalizacji i wrażliwości konstrukcji dla nowego podejścia.