Mathematical Modeling and Multi-objective Optimization

Abstract

Five different sizes of micro-channels have been fabricated in three different aerospace alloys (nickel alloy, titanium alloy and aluminum alloy) through dry laser beam micro-milling (DLBMM) to study the four geometrical responses naming micro-channel’s top width (XT), bottom width (XB), depth (Z), and taperness of sidewalls. The RSM based mathematical predictive models and multi-objective optimization is performed to reach at the appropriate combinations of laser parameters for each size of micro-channel fabricated in each of the three materials. The second order mathematical models for each of the four geometrical responses have been developed using response surface methodology and the quantitative results of analysis of variances performed for every response.