Assessing cylindricity for oblique cylindrical features

This research investigates the algorithmic aspect of cylindricity assessment. With the surface points measured with coordinate measuring machines (CMMs), cylindricity can be assessed under different kinds of reference cylinders. In order to explore the full capability of CMMs, supplementary methodologies for finding a fine-tuned axis of the cylinder have been developed, including rotational devices, quasi-linear equations and complicated procedures. This research derives a mathematical model so that the axis of the reference cylinder can be tuned algorithmically. The global optimum of the model, which yields the assessment of cylindricity, is computed by using a simulated annealing algorithm, namely Hide-and-Seek.

[1]  Robert L. Smith,et al.  Simulated Annealing and Adaptive Search in Global Optimization , 1994, Probability in the Engineering and Informational Sciences.

[2]  Wei Gao,et al.  A new multiprobe method of roundness measurements , 1996 .

[3]  Mehmet Cakmakci,et al.  Cylindricity — a well known problem and new solutions , 1992 .

[4]  Li Jun,et al.  In-situ measurement of cylindricity , 1990 .

[5]  Dean J.W. Dawson,et al.  Cylindricity and its measurement , 1992 .

[6]  K. Marciniak,et al.  Influence of surface shape in admissible tool positions in 5-axis face milling , 1987 .

[7]  Suk-Hwan Suh,et al.  Compensating probe radius in free surface modelling with CMM: simulation and experiment , 1996 .

[8]  Alistair B. Forbes,et al.  Reference software for finding Chebyshev best-fit geometric elements , 1996 .

[9]  Aimo A. Törn,et al.  Global Optimization , 1999, Science.

[10]  M. S. Shunmugam,et al.  An algorithm for form error evaluation: using the theory of discrete and linear Chebyshev approximation , 1991 .

[11]  Kirsten Marie Carr,et al.  Verification of form tolerances part II: Cylindricity and straightness of a median line , 1995 .

[12]  Utpal Roy,et al.  Form and orientation tolerance analysis for cylindrical surfaces in computer-aided inspection , 1995 .

[13]  Derek G. Chetwynd,et al.  A new strategy for inspecting roundness features , 1994 .

[14]  Seung-Woo Kim,et al.  Geometrical tolerances: Improved linear approximation of least squares evaluation of circularity by minimum variance , 1996 .

[15]  Tadao Tsukada,et al.  The development of a computer-aided centring and levelling system for cylindrical form measurement , 1988 .

[16]  Yongsheng Gao,et al.  A study of in-process computer aided evaluation of size and form error for cylindrical workpieces , 1991 .

[17]  M. S. Shunmugam,et al.  New approach for evaluating form errors of engineering surfaces , 1987 .

[18]  Sencer Yeralan,et al.  The minimax center estimation problem for automated roundness inspection , 1989 .

[19]  T.S.R. Murthy,et al.  A comparison of different algorithms for cylindricity evaluation , 1982 .

[20]  T. Kanada,et al.  Method for the evaluation of form errors of conical tapered parts , 1988 .