Research On 3D Printing Based On Optimization Models

Although 3D printing becomes more and more popular in people's lives,there are still some problems to be resolved because of material consumption with high cost,failure in physical structure of performance,the demand for additional supporting structure and so on.The additional interior supporting structures when printing the models with cavities may cause the waste of material,the failure of structural performance and other problems.To handle the problems,the self-supporting design for 3D printing is proposed based on frame structure in the paper,with a goal for saving material and the constraints based on physical property,geometrical property and self-supporting property.First,The sparsity optimization framework with self-supporting constraint is proposed to remove the redundant and the non-self-supporting interior struts.In addition,the positions of inner nodes and radii of struts are optimized to further reduce the consumption of printing material while achieving a given structural strength and maintaining self-supporting printing.At last,we can generate the light-weight self-supporting frame structure based on experiments on many 3D models.To resolve the material saving and the enhancement of the physical properties,the optimization algorithm is proposed based on cross sections in the other work of the paper.By optimizing the positions of points on cross sections and adaptively correcting the model,it aims at minimizing the consumption of material with the constraints of structural strength,printability,static stability and so on.Firstly,we can thoroughly and completely detect the weak cross sections and the strong ones by the structural analysis method based on bending equilibrium.To the weak cross sections,we propose the structural enhancement algorithm and edit the weak parts to improve the structural strength to a certain value.To maximize saving material,the hole-generating algorithm for the strong ones is proposed to adaptively optimize the thickness of the shell with the constraints of structural strength,static stability,printability and so on.Extensive experiments on 3D models demonstrate the effectiveness and practicability of our algorithms and at the same time our algorithms outperform other state-of-the-art methods.