The modern theory of gearing is based on the design of gear drives according to the size and location of the contact pattern as well as the maximum level and type of the obtained function of transmission errors. These factors may reduce the life and the endurance of the gear drive for power transmission or even cause its failure. However, there is a factor that affects the quality perception of the performance of the gear drive and deserves to be taken into account in the design stage of the gear drive. It is called gear whine noise and it depends, among other factors, on the type and maximum level of the function of transmission errors. In this paper, an approach for the determination of the amplitude spectrum of different types and levels of functions of transmission errors is proposed in order to predict one of the sources of the radiated gear whine noise. The evaluation of the amplitude spectrum of the function of transmission errors will be made in terms of Fourier series, using the discrete Fourier transform. Therefore, the influence of the type and level of the function of transmission errors on the amplitude spectrum of their Fourier transforms will be investigated in order to find the suitable type of the function of transmission errors for reduction of the radiated gear whine noise and therefore for designing quiet gears.

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