Mathematical Model for Evaluating Roundness Errors by Maximum Inscribed Circle Method

Abstract:

Article Preview

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)

Edited by:

Jian Gao

Pages:

393-396

DOI:

10.4028/www.scientific.net/AMR.314-316.393

Citation:

P. Liu and 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

Authors:

Export:

Price:

$35.00

In order to see related information, you need to Login.

In order to see related information, you need to Login.