Abstract
The paper discusses the issue of transverse natural vibrations of toothed wheels intended for operation in aviation power transmission systems or in the transmission of aircraft engine aggregates. The discussion was conducted using wheels with straight, oblique and circular-arc teeth, as well as with a full wheel disc and a wheel disc with eccentric holes. In the analysis process, simplified toothed ring models were proposed for each gear in the form of rings made of a hypothetical material with satisfactory physical properties (equivalent values of Young’s modulus and the density). In the proposed models were also taken into account the properties of cyclic symmetry exhibited by the studied objects. The calculation process was carried out using the finite element method and the commercial ANSYS software. The influence of the type and size of finite element on the quality of the obtained results was also investigated. The main part of the work concerns the assessment of the usefulness of the proposed simplified models of the analyzed wheels in the vibration simulation process. In order to confirm the correctness of the simulation research methodology, for one of the analyzed wheel cases, the numerical simulation results were verified experimentally on a real object. The article concludes with remarks and conclusions regarding the obtained results. The issues presented in this paper may be useful in engineering practice related to vibrations of circularly symmetric systems (in particular, gear wheels).