Effect of shape formation on the accuracy of grinding ends while compensating for machine tool errors
DOI:
https://doi.org/10.15587/1729-4061.2021.226479Keywords:
shape formation, grinding, end, correction, accuracy, error, variance, matrix, profilogram, structural unitAbstract
There are several general methods for correcting errors related to positioning the machine tool structural units. The task to achieve optimal manufacturing accuracy can be resolved by using a compatible solution to vector equations, a variation of the shape formation function, or applying a matrix of transfer coefficients.
However, there is no mutual relationship between various calculation methods for the case of grinding flat surfaces. The methods should be simplified and tested for the elongated shape formation function while considering the links’ dimensions.
This paper reports a study into the accuracy of grinding flat surfaces, determining and reducing the share of manufacturing errors. The content of variation matrices and transfer coefficients has been substantiated. The comparison of the orientation angles of the grinding machine headstock relative to the machine tool bed has demonstrated close results from all methods. These angles were taken as machine tool errors. The calculation error does not exceed 1.5 %. The experiments are consistent with the calculations.
Different signs of the transfer coefficients in the orientation angles of grinding machine headstocks in the matrix make it possible to mutually compensate for the overall impact. The calculations have shown that the accuracy of the side-end machining is largely affected by a change in the orientation angle in the vertical plane.
The effect exerted on the accuracy of individual mated parts by the machine tool structural units has been estimated. The calculations show that the error of positioning a part in the drum window acquires the highest absolute values and is random in nature, which requires a more accurate base positioning. The findings from both theoretical and experimental studies have been applied. The mathematical model makes it possible to determine the degree of scattering the end surface around the base plane via its variance.
The measured trajectory provides diagnostic information about the sources of error in the machine tool assembly. A task to calculate the accuracy of the end-grinding machine tool can be solved for other models of machine tools in the same way
References
- Reshetov, D. N., Portman, V. T. (1986). Tochnost' metallorezhuschih stankov. Moscow: Mashinostroenie, 336.
- Schwenke, H., Knapp, W., Haitjema, H., Weckenmann, A., Schmitt, R., Delbressine, F. (2008). Geometric error measurement and compensation of machines – An update. CIRP Annals, 57 (2), 660–675. doi: https://doi.org/10.1016/j.cirp.2008.09.008
- Tian, W., Gao, W., Zhang, D., Huang, T. (2014). A general approach for error modeling of machine tools. International Journal of Machine Tools and Manufacture, 79, 17–23. doi: https://doi.org/10.1016/j.ijmachtools.2014.01.003
- Rudyk, A. V., Rudyk, V. A. (2010). Produktyvnist obrobky tortsiv na tortsevoshlifuvalnykh verstatakh. Visnyk ChDTU, 45, 57–67.
- Kalchenko, V. V. (2005). Modulne 3D modeliuvannia formoutvoriuiuchykh system shlifuvalnykh verstativ, instrumentiv ta obrobliuvanykh poverkhon. Visnyk Ternopilskoho derzhavnoho tekhnichnoho universytetu, 12 (2), 68–79.
- Rudyk, A. V., Venzheha, V. I. (2008). Formoutvorennia tortsiv detalei avtomobiliv pry dvostoronnomu shlifuvanni. Visnyk ChDTU, 34, 80–88.
- Srivastava, A. K., Veldhuis, S. C., Elbestawit, M. A. (1995). Modelling geometric and thermal errors in a five-axis cnc machine tool. International Journal of Machine Tools and Manufacture, 35 (9), 1321–1337. doi: https://doi.org/10.1016/0890-6955(94)00048-o
- Rudyk, A. V. (2011). Vplyv pokhybok naladky verstatu modeli 3342 ADO na pokhybku formoutvorennia ploskykh poverkhon. Vestnik KhPI, 53, 94–106.
- Kalchenko, V., Venzheha, V., Sliednikova, O., Kalchenko, D. (2016). Theoretical and experimental investigations process stock removal, wheels wear, forming accuracy and thermal voltage at grinding of ends part. Technical Sciences and Technologies, 4 (6), 25–34.
- Ramesh, R., Mannan, M. A., Poo, A. N. (2000). Error compensation in machine tools – a review. Part I: geometric, cutting-force induced and fixture-dependent errors. International Journal of Machine Tools and Manufacture, 40 (9), 1235–1256. doi: https://doi.org/10.1016/s0890-6955(00)00009-2
- Denis Ashok, S., Samuel, G. L. (2016). Regression method for identifying spindle radial errors of a miniaturized machine tool. Journal of Studies on Manufacturing, 1 (1), 26–33.
- Chen, G., Liang, Y., Sun, Y., Chen, W., Wang, B. (2013). Volumetric error modeling and sensitivity analysis for designing a five-axis ultra-precision machine tool. The International Journal of Advanced Manufacturing Technology, 68 (9-12), 2525–2534. doi: https://doi.org/10.1007/s00170-013-4874-4
- Chupryna, V. М. (2016). Tensor-mathematical modeling of machining accuracy in dynamic system of catting machine. Zbirnyk naukovykh prats Kharkivskoho universytetu Povitrianykh Syl, 1, 116–124.
- Aurich, J. C., Biermann, D., Blum, H., Brecher, C., Carstensen, C., Denkena, B. et. al. (2008). Modelling and simulation of process: machine interaction in grinding. Production Engineering, 3 (1), 111–120. doi: https://doi.org/10.1007/s11740-008-0137-x
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