Research On Mathematical Model Of Noncircular Parts And Interpolation Algorithm

In aerospace,biomedical,mold and automotive manufacturing industry,non circular parts has been widely used.This kind of parts is generally difficult to mode,and it is difficult to express with the traditional descriptive geometry and mechanical drawing.The processing process is also complex.Therefore,how to improve the manufacturing accuracy and processing efficiency has been a hot spot in the field of digital manufacturing.Based on the above problems,this paper has done the following work:Firstly,the development and present situation of the research on the machining of non-circular parts are summarized.And then put forward a solution for cover the gap between domestic and abroad in high machining precision and processing efficiency.Secondly,the mathematical modeling theory of non-circular parts is discussed in detail.On the basis of studying the application of Bezier curve,B spline curve,rational Bezier curve and its advantages and disadvantages,the design algorithm of NURBS curve and the influence of weight factor on the curve characteristics are given.Taking star part as an example,the detailed modeling process is given.Thirdly,the theory and implementation of the T shaped acceleration trajectory interpolation algorithm are introduced.At the same time,for the non-circular parts,the arc length L based on the T shape acceleration trajectory interpolation algorithm is given.Fourth,the hardware design of the experiment platform of the five axis is introduced,and the advantages and disadvantages of the voice coil motor and servo motor are compared.Secondly,the experimental platform is built according to the machining performance requirements.Finally establish kinematics model of five axis linkage.Fifthly,based on the previous chapters,the convex parts for processing piston and star sample,expounds in detail the interpolation process and its influence for lathe system dynamics.Finally,the cutting experiment is carried out on the experimental platform.The experimental results show that the interpolation trajectory algorithm based on T shape acceleration is very important to improve the control precision and reduce the vibration and noise of the system.