Exact Global Optimization of Frame Structures for Additive Manufacturing
Tarih:
Başlangıç Zamanı: Starting Time 02:00 pm ~ 03:00 pm
Konum: B141
Abstract:
Designing the lightest load-carrying planar frame structures for additive manufacturing (AM) is concerned with minimizing the structure’s weight by selecting discrete design elements and their continuous diameters. We focus on globally optimal solutions for the problem that is known to be computationally challenging, as it combines integer variables and non-convex constraints. We enhanced the existing formulations to allow for AM constraints and propose a new (non-convex) quadratic version. We adopt the well-known ground structure method to be able to mathematically model the problem. To handle the nonlinearity in the problem, we discretize a set of variables and use the Big M method to linearize the model. With numerical experiments, we show that using advanced solvers, the quadratic model performs best, even though it is still restricted to relatively small problem sizes.
Bio:
Oguz Toragay is a Ph.D. candidate in the Industrial and Systems Engineering Department at Auburn University, Auburn, AL, USA. He holds an M. Sc. in Industrial Engineering from Gazi University in Ankara, Turkey, an M. Eng. in Industrial and Systems Engineering from Auburn University, and B. Math. degree in Applied Mathematics from Khayyam University in Mashhad, Iran. Toragay’s research interests involve applying mathematical modeling and novel heuristic approaches to model and solve optimization problems in diverse applications, including secure system authentication and advanced manufacturing. As a member of the National Center for Additive Manufacturing Excellence (NCAME), he is currently working on the optimization of the lightweight structures’ design for additive manufacturing.