Parametric Modeling Of Metal Cutting Based On Voronoi Crystal

Metal cutting is an indispensable process in manufacturing industry.In recent years,with the rapid development of the computer software,the application of finite element analysis method has been widely used in the field of metal cutting mechanism research,and made great contribution to the improvement of cutting process.To improve the cutting process,it is necessary to conduct in-depth research on metal cutting process at crystal level based on the topology of metal crystal structure.Focused on the finite element analysis of the metal cutting process at the crystal level,this paper establishes a metal cutting simulation parametric modeling method based on Voronoi crystal,and analyzes the influence of the crystal topological structure of the workpiece material on the cutting deformation process.The following content are carried out:(1)Based on the Voronoi diagram theory and triangulation theory,a polygon generation algorithm is developed by Python.From the uniqueness of polygon and local optimization requirement,the discrete points are converted into daulaunay triangle network by point-by-point insertion triangulation method,and then generate Voronoi polygon based on the duality of daulaunay triangle network,which lays the foundation for the establishment and quality control of Voronoi crystal model.(2)Based on the Voronoi polygon generation algorithm,the quality control and optimization method of modeling parameters of the Voronoi crystal modeling process are studied.Based on the topological law of material crystal structure,the quality control algorithm of Voronoi crystal model is developed,including grain topology distribution,size distribution and fullness.EMD distance is used as the evaluation indicator of crystal model similarity,and Box-Behnken response surface analysis is used to optimize the parameters of crystal modeling,make the crystal model more consistent with the actual metallographic diagram.(3)The Voronoi crystal modeling algorithm and quality control algorithm are integrated,and the parameterized platform of metal crystal cutting simulation is established based on the parametric modeling method and Abaqus secondary development method.Introduces the secondary development process of Abaqus graphical user interface(GUI)based on RSG dialog constructor and kernel script,the geometric modeling and the key setting process of metal crystal cutting simulation are realized.(4)Through the experiment of cutting titanium alloy Ti-6A1-4V,the variation of cutting force with cutting parameters is analyzed,and the simulation model of metal crystal cutting is verified.The results show that the main factor leading to the increase of cutting force is feed,and the increase of cutting speed will reduce the cutting force to a certain extent.The average grain size has a great influence on the cutting force and the standard deviation of grain size has a great influence on the cutting temperature;The average grain size is proportional to the work hardening ability,and the standard deviation of grain size is proportional to the thermal softening ability,their interaction leads to the formation of serrated chips.