A new minimum zone method for evaluating flatness errors

Huang, Sheng-Kai; Fan, Kuang‐Chao; Wu, Chih-Hang John

doi:10.1016/0141-6359(93)90275-f

Cited by 55 publications

(31 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…A minimum zone method [15,16] is modified and employed to find the axis of a cone that is much closer to the minimum circumscribed cone. The detail will be introduced briefly as follows:…”

Section: Procedures For Determining the Reference Axis Of A Minimum CImentioning

confidence: 99%

“…Then, a simplex search method was used to search for the axial direction that minimises the circularity error. Huang et al [15,16] also developed two techniques called CLRS and CPRS for straightness and flatness evaluation based on their work on the geometric minimum zone criteria. Chatterjee and Roth [17] used the simplex method to search for the vertex location, which minimised the Chebychev width while obtaining the minimum zone cone.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Study on the Form Error Evaluation Model of a Conical-Shank Ball-End Milling Cutter

Chen

2001

Int J Adv Manuf Technol

View full text Add to dashboard Cite

This paper presents a complete form error evaluation model of a conical-shank ball-end cutter. The complete conical-shank ball-end cutter comprises three major revolving portions including the conical shank, cylindrical section, and spherical head. By using the central line of the minimum circumscribed conical shank as a datum axis and employing profile data measured directly from cutter surfaces, the proposed evaluation method systematically computes the exact revolving envelopes of the conical shank, cylindrical part, and spherical part separately, and then combines them. One application example is presented to illustrate the effectiveness of the proposed modelling method. This paper provides a simple, logical, and precise method for the quality evaluation of a special rotating cutter and can be further extended for use in the quality assessment of various complicated cutters.

show abstract

“…A minimum zone method [15,16] is modified and employed to find the axis of a cone that is much closer to the minimum circumscribed cone. The detail will be introduced briefly as follows:…”

Section: Procedures For Determining the Reference Axis Of A Minimum CImentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study on the Form Error Evaluation Model of a Conical-Shank Ball-End Milling Cutter

Chen

2001

Int J Adv Manuf Technol

View full text Add to dashboard Cite

show abstract

“…Therefore, much research has been devoted to finding the minimum zone solutions for straightness error and other form errors using a variety of methods. Some researchers applied the numerical methods of linear programming [3,4,5], such as the Monte Carlo method, the simplex search, spiral search, and the minimax approximation algorithm etc. Another approach has been to find the enclosing polygon for the minimum zone solution, such as the eigen-polyhedral method, the convex polygon method, and the convex hall theory etc.…”

Section: Introductionmentioning

confidence: 99%

A Minimum Zone Method for Evaluating Straightness Errors Using PSO Algorithm

Zhang

2008

Lecture Notes in Computer Science

View full text Add to dashboard Cite

Abstract. Straightness error is the commonest one of form errors. In this paper, an intelligent evaluation method for straightness errors is provided. According to characteristics of straightness error evaluation, Particle Swarm Optimization (PSO) is proposed to evaluate the minimum zone error. The evolutional optimum model and the calculation process for using the PSO to evaluate minimum zone error are introduced in detail. Compared with conventional optimum methods such as simplex search and Powell method, PSO algorithm can find the global optimal solution, and the precision of calculating result is very good. Compared to genetic algorithms (GA), PSO is easy to implement and there are few parameters to adjust. Finally, a numerical example is carried out. The control experiment results evaluated by using different method such as the least square, simplex search, Powell optimum methods, Simulated Annealing Algorithms (SAA), GA and PSO, indicate that the proposed method does provide better accuracy on straightness error evaluation, and it has fast convergent speed as well as using computer.

show abstract

“…Kanada and Suzuki [8,9] discussed the application of several computing techniques, such as the Nelder-Mead simplex method, QIM method, GSM method, TKM method, and TQM method for straightness and flatness evaluation. Huang et al [10,11] developed a technique called CLRS and CPRS for straightness and flatness evaluation based on the geometric minimum zone criteria. This technique searched for 2-1 or 1-2 models for straightness evaluation, and 2-2 and 3-1 models for flatness evaluation based on a concept of rotating schemes.…”

Section: Introductionmentioning

confidence: 99%