Estimation of complexity of field contours of layer building with the use of cell method of determining the fractal dimension

Abstract

The results of estimating the geometric complexity of contours in layered building of a product by additive manufacturing are presented. The contour complexity was evaluated on the basis of a statistical analysis of their fractal dimension obtained the cell method. To determine fractal dimension of the contour, measures commensurate with the geometric limitations of layered building were used. Such limitations exist because of layered building peculiarities and technological capabilities of used equipment. Software has been developed to implement a layer-by-layer analysis of the original triangulation 3D model. Approbation of the software was carried out on the basis of models of industrial products. As a result, the possibility of estimating the geometric complexity of the field contours of layered building is confirmed on basis of statistical analysis of distribution characteristics of fractal dimension of the contours.