MODELING AND VIBRATION ANALYSIS OF COMPLEX ANNULAR SYSTEM WITH USING CYCLIC SYMMETRY FEATURE

Abstract

In the paper the free transverse vibration of representative toothed gear is considered. Analysed system is treated as an annular plate with complex geometry. The discussion is focused on using the cyclic symmetry modelling technique to vibration analysis of the system under the study. The method of creation of the toothed gear simplified FE model is proposed. The problems related to the determination of critical rotational speeds of the considered system are discussed. Campbell diagram for the studied system is elaborated and the method of designation of the safe working zone of the wheel is presented. Experimental investigations conducted in order to evaluate the proposed method of elaboration of FE models are presented. It is important to note that the issues presented in this work have a practical value for design engineers dealing with the dynamics of rotating systems.

Keywords

• toothed gear
• transverse vibration
• Campbell diagram
• cyclic symmetry modeling
• finite element modeling (FEM)
• dynamic mechanical analysis