Geometric and computer-aided spline hob modeling

International Conference on Mechanical Engineering, Automation and Control Systems 2017

机械制造;无线电电子学;计算机科学

Brailov, I.G.^1 ; Myasoedova, T.M.^2 ; Panchuk, K.L.^2 ; Krysova, I.V.^2 ; Rogoza, Y.U.A.^2

Omsk State Agrarian University Named after P.A. Stolypin, Institutskaya Square 1, Omsk

644008, Russia^1

Omsk State Technical University, Mira Av. 11, Omsk

644050, Russia^2

关键词: Computer modeling;    Cutting edge geometry;    Geometric modeling;    Geometrical modeling;    Machine tool systems;    Milling process;    Parametric vectors;    Vector representations;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/327/2/022079/pdf
DOI  :  10.1088/1757-899X/327/2/022079

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

The paper considers acquiring the spline hob geometric model. The objective of the research is the development of a mathematical model of spline hob for spline shaft machining. The structure of the spline hob is described taking into consideration the motion in parameters of the machine tool system of cutting edge positioning and orientation. Computer-aided study is performed with the use of CAD and on the basis of 3D modeling methods. Vector representation of cutting edge geometry is accepted as the principal method of spline hob mathematical model development. The paper defines the correlations described by parametric vector functions representing helical cutting edges designed for spline shaft machining with consideration for helical movement in two dimensions. An application for acquiring the 3D model of spline hob is developed on the basis of AutoLISP for AutoCAD environment. The application presents the opportunity for the use of the acquired model for milling process imitation. An example of evaluation, analytical representation and computer modeling of the proposed geometrical model is reviewed. In the mentioned example, a calculation of key spline hob parameters assuring the capability of hobbing a spline shaft of standard design is performed. The polygonal and solid spline hob 3D models are acquired by the use of imitational computer modeling.