Paper Title:
Mathematical Model for Evaluating Roundness Errors by Maximum Inscribed Circle Method
  Abstract

An unconstrained optimization model is established for assessing roundness errors by the maximum inscribed circle method based on radial deviation measurement. The properties of the objective function in the optimization model are thoroughly researched. On the basis of the modern theory on convex functions, it is strictly proved that the objective function is a continuous and non-differentiable and convex function defined on the two-dimensional Euclidean space. The minimal value of the objective function is unique and any of its minimal point must be its global minimal point. Any existing optimization algorithm, so long as it is convergent, can be used to solve the objective function in order to get the wanted roundness errors by the maximum inscribed circle assessment. One example is given to verify the theoretical results presented.

  Info
Periodical
Advanced Materials Research (Volumes 314-316)
Chapter
Modeling, Analysis and Simulation of Manufacturing Processes
Edited by
Jian Gao
Pages
393-396
DOI
10.4028/www.scientific.net/AMR.314-316.393
Citation
P. Liu, H. Y. Miao, "Mathematical Model for Evaluating Roundness Errors by Maximum Inscribed Circle Method", Advanced Materials Research, Vols. 314-316, pp. 393-396, 2011
Online since
August 2011
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Price
$32.00
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