Analysis and Discussion on a New Case of Virtual Axis Machine Tool Production

It has broad application prospects in the processing of complex shapes. However, the current virtual axis machine tools are mostly six rods. It has the disadvantages of strong motion coupling, high manufacturing precision requirements and small working space. The three-bar three-degree-of-freedom developed by Northeastern University Based on the prototype of the virtual axis machine tool, a new three-bar five-degree-of-freedom virtual axis machine tool has been developed, which combines the advantages of high rigidity, high speed, large working space and high flexibility of the series mechanism. The five-axis NC machining mathematical model of the machine tool is simple and easy to realize real-time control of the machine tool. In addition, the kinematics positive solution and the Jacobian matrix which are closely related to the dexterity analysis, speed analysis and error compensation of the machine tool are given. The axis machine tool can realize the five-axis machining of complex shape, and the application prospect is broad. Since the cutting speed of the bottom end of the ball cutter is very small near the center of the rotation and the chip pocket is shallow and the rake angle is negative, the cutting conditions of this part are very Poor, in the actual production, the bottom end of the ball cutter is a plane. For the five-coordinate machining, the angle H3 between the tool axis and the surface normal vector at the cutting point should be large. A certain value, such as the angle C/2 of the bottom surface of the ball cutter, is processed by a part with a large cutting speed. Therefore, it is determined that the tool axis is in the plane defined by n and F and the angle with n is H3, and the auxiliary coordinate system o5-x5nz5 is established, wherein Z5=F@n,x5=n@z5, the direction vector of the tool axis in the coordinate system o5-x5nz5 is , where mx, my, mz, ox, oy, oz, ax, ay, az are respectively the cosine of the three directions of the coordinate system o4-x4y4z4 of x5, n, z5, and will not be described here again, the ball cutter o3 In the coordinate system o4-x4y4z4, the coordinate is xo3=x+nxRyo3=y+nyRzo3=z+nzR, where R is the radius of the ball cutter, and the coordinate o1 of the motion platform is coordinate ox1=xo3+sxd2yo1= in the coordinate system o4-x4y4z4= Yo3+syd2zo1=zo3+szd2+d1. It is in the coordinate system O-XYZ with the coordinates x1y1z11=010xo100yo00-1zo0001xo1yo1zo11. T is the coordinate of the coordinate origin of the coordinate system o4-x4y4z4 in the machine coordinate system O-XYZ. The new three-bar five-degree-of-freedom virtual axis machine tool proposed in this paper will have high rigidity, high speed, large working space and series mechanism. The advantages of high flexibility are combined. The five-axis NC machining mathematical model algorithm is simple and easy to realize real-time control of the machine tool. The kinematics positive solution is explicit, and it is easy to get the Jacobian matrix, which is convenient for dexterity analysis and speed analysis. The virtual axis machine tool can realize the five-coordinate machining of complex shapes and has broad application prospects.

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