Kinematics of Selected parts of metal Cutting machine
1Faculty of Mechanical Engineering, Department of Applied Mechanics and Mechatronics, Technical University of Košice, Letná 9, Košice, Slovak Republic
This article deals with kinematics of mechanical part of lathe in cases of highest and lowest speeds during machining for selected parts of the machine. Calculations are made or cut in startup mode in steady state. Not stated all calculations because of their large-scale. Calculations are for real machine tool, which is used in workshop practice. Analogy, it can do the same when other machine in which the gear unit and the various modes of operation.
At a glance: Figures
Keywords: metal cutting machine, lathe, kinematics
American Journal of Mechanical Engineering, 2013 1 (7),
Received October 11, 2013; Revised October 22, 2013; Accepted November 19, 2013Copyright: © 2013 Science and Education Publishing. All Rights Reserved.
Cite this article:
- Filas, Jozef, and Vladimír Marton. "Kinematics of Selected parts of metal Cutting machine." American Journal of Mechanical Engineering 1.7 (2013): 241-245.
- Filas, J. , & Marton, V. (2013). Kinematics of Selected parts of metal Cutting machine. American Journal of Mechanical Engineering, 1(7), 241-245.
- Filas, Jozef, and Vladimír Marton. "Kinematics of Selected parts of metal Cutting machine." American Journal of Mechanical Engineering 1, no. 7 (2013): 241-245.
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The use of metal cutting machines as well as lathes for machining components from various materials with different dimensions requires the drive of lathe to be able to change the cutting speed on the surface of the machined component.
It is therefore very important to know the kinematics of motion of the whole machine part of lathe, but also its individual members.
In this paper we focus on the calculation of selected kinematic parameters of the parts of lathe connected so that the spindle of lathe had the intended rates. We focused on two parameters: the minimum speed and the maximum speed. Analogy would be followed for any other speed.
Figure 1 shows an overall view of specific type of center lathe, which will undergo partial kinematic analysis.
The lathe is intended for various uses. Machining of outer surface of cylinders and cones, machining by copying, coils production, shaping by grooving tools and so on.
2. Transfer of Drive from Engine to Head of the Lathe
Transmission of lathe has multiple shafts. Overall simplified schema of the drive is illustrated on Figure 5.
3. Calculation of Kinematic Parameters3.1. Calculation of Kinematic Parameters for the Fastest Gear
Input (motor) is 1750 rates per minute and by multistage transmission, illustrated on Figure 6, head of the lathe reaches 2000 rates per minute.
Figure 7 shows a simplified schematic view of mutually meshing cogwheels positioned on multiple shafts.
Calculation of transfer ratio (uR), angular velocities (ω), tangential (at) and normal components (an) accelerations on circumferences of individual cogwheels goes as following:
Wheel on shaft S:
Wheels on shaft A:
Wheels on shaft B:
Wheel on shaft C:
Rate of motor at the beginning of kinematic chain is 1750 rates per minute, which is transformed in transmission to 12 rates per minute on head of the lathe.
Figure 12 shows schema of positioning of shafts and cogwheels for the slowest gear.
Figure 13 shows simplified schema of mutually meshing cogwheels, which are positioned on multiple shafts.
Transfer from motor to shaft S:
Input rates to transmission:
Wheel on shaft S:
Calculations of kinematic variables on shafts A, B, D, Care analogous calculations in Section 1.3.
Similarly, it would be possible to determine the selected kinematic variables for other modes work machine Results can be verified by other methods of kinematics.
The works has been accomplished under the research project VEGA 1/1205/12 Numerical modelling of mechatronic systems.
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