Optimization of design variables of textures for minimization of friction coefficient based on design of experiments and adjoint variable method

Abstract

In this paper, we propose a new optimization procedure for texture design parameters that combines the design of experiments approach and the modified acceleration gradient method. For the design of texture parameters, it is necessary to determine the optimal combination of number, placement angle, spacing and horizontal shape of texture elements. There are many possible combinations of design parameters, so it is necessary to decide select efficiently. In a previous study, we clarified that frictional force can be reduced by varying the texture depth. In this study, we investigate a method of determining texture design parameters based on the design of experiments and the modified acceleration gradient method. Circular and rectangular shapes are generally employed as the horizontal shapes of texture elements, but Maldonado-Cortset et al.’s report that an s-shaped texture more effectively reduces the friction coefficient. In this investigation into the reduction of friction coefficient, numerical experiments were performed that included this s-shaped texture.