Analytical surface roughness parameters of a theoretical profile consisting of elliptical arcs

Jun Qu, Albert J. Shih

Research output: Contribution to journalArticlepeer-review

44 Scopus citations

Abstract

The closed-form solutions of surface roughness parameters for a theoretical profile consisting of elliptical arcs are presented. Parabolic and simplified approximation methods are commonly used to estimate the surface roughness parameters for such machined surface profiles. The closed-form solution presented in this study reveals the range of errors of approximation methods for any elliptical arc size. Using both implicit and parametric methods, the closed-form solutions of three surface roughness parameters, Rt, Ra, and Rq, were derived. Their dimensionless expressions were also studied and a single chart was developed to present the surface roughness parameters. This research provides a guideline on the use of approximate methods. The error is smaller than 1.6% when the ratio of the feed and major semi-axis of the elliptical arc is smaller than 0.5. The closed-form expressions developed in this study can be used for the surface roughness modeling in CAD/CAM simulations.

Original languageEnglish
Pages (from-to)281-294
Number of pages14
JournalMachining Science and Technology
Volume7
Issue number2
DOIs
StatePublished - 2003

Funding

The support from Heavy Vehicle Propulsion Systems Materials Program, Office of Transportation Technologies, US Department of Energy is appreciated. The authors gratefully acknowledge the discussion with Dr. Y. S. Lee of NC State University and the support by National Science Foundation Grant #9983582 (Dr. K. P. Rajurkar, Program Director).

FundersFunder number
Office of Transportation Technologies
National Science Foundation9983582
U.S. Department of Energy
North Carolina State University

    Keywords

    • Surface roughness
    • Surface with circular and elliptical arcs

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