A STOCHASTIC CHARACTERIZATION OF THE MACHINE TOOL WORKPIECE SYSTEM IN BTA DEEP HOLE MACHINING Part II: Response Analysis and Evaluation of the Tool Tip Motion
作者:
S. Chandrashekhar,
T.S. Sankar,
M.O.M. Osman,
期刊:
Advanced Manufacturing Processes
(Taylor Available online 1987)
卷期:
Volume 2,
issue 1-2
页码: 71-104
ISSN:0884-2558
年代: 1987
DOI:10.1080/10426918708953183
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In this paper, the solutions to the stochastic differential equations, which mathematically represent the machine tool work-piece system in BTA deep hole machining are presented. The solutions to the parametric stochastic differential equations have been obtained using the well known averaging technique. The non-parametric inhomogeneous equations have been solved using the Fokker-Planck equation. Based on these solutions, the true motion of the tool tip has been described using the maximum, average and minimum deviation curves. These curves predict that helical grooves will be formed on the workpiece and such helical grooves were observed on the workpieces. Also, the maximum, average and minimum values of deviation of the tool tip which is a measure of the roundness error are established. Based on these results an upper bound for the roundness error as a function of depth of hole is derived. The measurement of roundness of the specimens reveals that the experimental values be in the zone predicted by the theory in a finite region. So it can be speculated that the resultant force system is not completely balanced at the pads.
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