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.
Highlights
Problems of transverse vibration of circular-symmetry plate systems have been the subject of many investigations [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]
In papers [2, 4] the finite element (FE) technique is utilized to the solving process of the transverse vibration of circular-symmetry plates with complex geometry and physical properties
In above paper the free transverse vibration of a toothed gear found in a high-speed gearbox is analysed using finite element technique
Summary
Problems of transverse vibration of circular-symmetry plate systems have been the subject of many investigations [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]. The authors of papers [5, 6, 9, 14, 16] included the cyclic symmetry modelling in the analysis of vibration problems of some compound systems (toothed gears and others). The second calculation phase involves the verification of the proposed simplified models with taking into account the centrifugal effect In this case the calculation is conducted assuming that discussed models are rotated at angular velocity θ0 = 1047 [rad/s] which corresponds to high velocity of centrifugation [1, 14]. The further step of calculations was referring to the issues concerning the designation of critical rotational speeds of the wheel and determination of the so-called safe work zones. To avoid the resonance problem, the changes of the system design or the working system zone should be considered
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