FFT 기반 열탄성유체윤활(TEHL) 해석기 개발 및 검증

초록

Thermal elastohydrodynamic lubrication analysis is a key technique for predicting pressure, temperature, and lubricant film behavior under high-load and high-speed contact conditions, such as those observed in rolling element bearings, gears, wheel-rail contacts, and brake discs. However, the iterative solution of coupled multi-phys ics governing equations incurs significant computational cost. This study develops a fast Fourier transform-based numerical solver for thermal elastohydrodynamic lubrication analysis under rolling and sliding conditions. The solver computes the pressure distribution by solving the Reynolds equation discretized using the finite difference method. Subsequently, it applies the discrete convolution and FFT algorithm to efficiently calculate elastic defor mation and surface temperature distributions. The solver models the pressure- and temperature-dependent viscosity and density of the lubricant using the extended Roelands equation and a density model that considers both pressure and temperature effects. Based on the slide-to-roll ratio, three surface-temperature conditions, corresponding to pure rolling, partial sliding, and full sliding cases are considered. The developed solver is evaluated against published results for minimum film thickness over a range of slide-to-roll ratios as well as for representative pressure and tem perature distributions. The maximum deviation in minimum film thickness is 15.1%, whereas the differences in the maximum mid-film temperature rise for two representative cases are below 5%.

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