Relating fractal dimension with roughness parameters in brass turning

The present work describes the evaluation of the conventional roughness parameters and fractal dimensions of the surface profiles generated by turning of brass with different machining conditions such as depth of cut, work-piece speed and feed rate. The surface roughness parameters on the generated-turned surfaces were measured with a stylus-type profilometer and processed through the dedicated advanced surface finish analysis software Talyprofile for evaluation of the roughness parameters and fractal dimension. Parameters used in the present investigation are: Vertical parameters – Ra (CLA, m) and Rq (RMS, m), Transverse parameters – Rsm (mean line peak spacing, m), Peak shape and amplitude parameters – Rsk (skewness), Rku (kurtosis) and Fractal parameter – D (fractal dimension). The significant machining parameters for different roughness parameters and fractal dimension are found using ANOVA. The measured values of conventional roughness parameters and fractal dimension are correlated by non-linear regression analysis using fifth order polynomial model.