Multi-objective topology optimization of column structure for vertical machining center

In this study, a multi-objective optimization method that combines the compromise programming approach with the mean frequency method is proposed. The proposed method is used to optimize a machine tool column for three objectives: compliance, deformation, and natural frequency. From this optimization, the following conclusions can be drawn: 1) the static stiffness of the vertical machining center is increased by 21.53%; 2) the tool tip static deformation is decreased by 13.69%; and 3) the shapes of the first four modes for the whole machine remain unchanged, but their natural frequencies are increased by 5.09%, 7.66%, 4.16%, and 5.45%, respectively. (C) 2018 The Authors. Published by Elsevier B.V.