@ARTICLE{Król_Roman_Analysis_2022, author={Król, Roman}, volume={vol. 69}, number={No 4}, journal={Archive of Mechanical Engineering}, pages={693-711}, howpublished={online}, year={2022}, publisher={Polish Academy of Sciences, Committee on Machine Building}, abstract={In this paper the analysis of backlash influence on the spectrum of torque at the output shaft of a cycloidal gearbox has been performed. The model of the single stage cycloidal gearbox was designed in the MSC Adams. The analysis for the excitation with the torque and the analysis with constant angular velocity of the input shaft were performed. For these analyses, the amplitude spectrums of the output torque for different backlashes was solved using FFT algorithm. The amplitude spectrums of the combined sine functions composed of the impact to impact times between the cycloidal wheel and the external sleeves were computed for verification. The performed studies show, that the backlash has significant influence on the output torque amplitude spectrum. Unfortunately the dependencies between the components of the spectrum and the backlash could not be expressed by linear equations, when vibrations of the output torque in the range of (350 Hz – 600 Hz) are considered. The gradual dependence can be found in the spectrum determined for the combined sine functions with half-periods equal impact-to-impact times. The spectrum is narrower for high values of backlash.}, type={Article}, title={Analysis of the backlash in the single stage cycloidal gearbox}, URL={http://www.czasopisma.pan.pl/Content/124944/PDF-MASTER/AME_2022_141521.pdf}, doi={10.24425/ame.2022.141521}, keywords={cycloidal gearbox, backlash, dynamics, multibody dynamics, multibody simulation, discrete Fourier transform, spectral analysis, FFT}, }