Application of Linear Optimization on Parameters of 3D FDM Print

Abstract

Nowadays, a fused deposition modelling (also called "FDM") belongs to one of the most widespread additive methods of 3D print. It allows producing both models for functional verification or casts and functional components. The main advantage of this technology is an option to produce complex components of a difficult shape independent of their outer and inner surfaces. Moreover, this mentioned technology brings the decreasing of production costs in comparison with the other well-known additive methods. The final quality of a product depends on the used material and on technological conditions at the same time. The number of parameters and limits of the complete printing process is enormous. The choice of the individual parameters by a trial-and-error procedure is very time-consuming. Therefore, a use of linear optimization for finding of optimal values of chosen print parameters can be offered. For forming of the required procedures, it seems to be necessary to choose structural variables, find an appropriate objective function and deduce properly limiting conditions in a linear shape, which relates to a linear measurement. The final solution enables, on the basis of the selected initial conditions, to choose optimal parameters of the 3D print for a given material and production equipment in a relatively short period.

Accuracy of FDM PLA Polymer 3D Printing Technology Based on Tolerance Fields

“…The current state of the art lacks suitable methods for addressing these issues, especially for 3D-printed mechanisms as shown in a statistical tolerance analysis. Zemicik et al [12] underscore the complexity of the printing process, emphasizing the extensive range of parameters and limits, and advocate for the use of linear optimization methods. Their study concludes that linear programming is a functional approach for identifying optimal parameters in 3D printing.…”

Analysis of thermomechanical properties of polymeric materials produced by a 3D printing method

“…Another difficulty in the process of 3D printing is the selection of adequate parameters for filament type processes, such as the printing temperature or the working table temperature. Incorrect selection of these factors may result in: clogging printer nozzles, larger material shrinkage than the expected, incomplete plasticization when applying subsequent layers, resulting in delamination of the element and the occurrence of non-uniformity of the model filling which causes a decrease in its strength [6][7][8].…”