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1896 |
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Fractal Roundness Modeling of Experimental Profile in Turning |
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Equipment, Machines & Instruments: Analysis & Modeling |
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Abstract.
The roundness prediction and modeling that match to real profile is very important for analyzing the round shape machining. Some previous study[3,4] analyzed the roundness model using the linear interpolation or time series modeling considering the vibration of tool and workpiece spindle center. The characteristics of roundness can be analyzed by investigating the parameter and constant after defining the fractal roundness model. This method can give the precise modeling comparatively but it cannot include the dynamic properties in roundness modeling. In roundness presentation, it needs sometimes the dynamic properties in roundness. So, more desirable method must be used for higher dynamic properties in roundness model. For this purpose, the fractal interpolation methods with less data information were used in this study. Also, using the fractal parameter in fractal interpolation, the characteristic of the roundness in the workpiece is studied.
In this study, a fractal analysis has been used as a useful tool in the characterization of the geometry, especially in fractal analysis, a fractal interpolation method has been widely used to estimate and analyze experimental geometry. Due to the chaotic nature of dynamic roundness profile in roundness in round shape machining, some desirable method must be used for the analysis of experimental data which is natural to sequential data. Fractal methods analyzed in this paper focused its objects only within the scope of the fractal interpolation and fractal dimension. Also, two methods for computing the fractal dimension have been introduced and discussed. The two methods can calculate the fractal dimensions of dynamic roundness profile according to the number of data points in which the fixed data are generally lower than 120 data points. This fractal analysis shows a possible prediction and fractal analysis of roundness profile that has some different properties and fractal parameters analyzed in turning operation.
It also identifies the properties of machined roundness in terms of fractal analysis and it also presents a new technique for the monitoring of roundness.
References
[1] M.F. Barnsley (1993) Fractals everywhere, Academic Press Inc
[2] E.N. Shah, N. P. Reddy, B.M. Rothschild (2005) Fractal analysis of acceleration signals from patients with CPPD, rheumatoid arthritis, and spondyloarthroparthy of the finger joint, Computer methods and programs in biomedicine, 77: 233-239
[3] D.H. Chin, M.C. Yoon, S.B. Sim (2005) Roundness modeling in BTA deep hole drilling, Precision Engineering, 29:176-188
[4] M.C. Yoon, H.D. Cho, S.K. Kim, J.S. Kim (2000) A Study on the Characteristics of Machined Profile Modeling in Cylindrical Shape Machining, KSMTE, 9:55-61
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