A study on the application of circular biarcs fitting to numerically controlled machining

Rong Shean Lee; Nan Jiune Liang

doi:10.1080/02533839.1984.9676786

A study on the application of circular biarcs fitting to numerically controlled machining

Rong Shean Lee, Nan Jiune Liang

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

A generalized method for fitting a pair of continuous arcs (known as biarc) between two data points with given directional constraints is proposed. Such a curve-fitting technique is useful for generating a continuous smooth tool path of a numerically controlled machine in which circular arc is incorporated. The developed biarcs-fitting method eliminates the problems in conventional straight-line approximation or single-arc fitting of curved tool path where it leaves ridges on the finished surface of the workpiece. The capability and advantages of the proposed biarcs-fitting method are demonstrated by applying it to the numerically controlled machining of a curved die profile for tube extrusion and a cam profile.

Original language	English
Pages (from-to)	225-232
Number of pages	8
Journal	Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
Volume	7
Issue number	4
DOIs	https://doi.org/10.1080/02533839.1984.9676786
Publication status	Published - 1984 Oct

All Science Journal Classification (ASJC) codes

Engineering(all)

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10.1080/02533839.1984.9676786

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title = "A study on the application of circular biarcs fitting to numerically controlled machining",

abstract = "A generalized method for fitting a pair of continuous arcs (known as biarc) between two data points with given directional constraints is proposed. Such a curve-fitting technique is useful for generating a continuous smooth tool path of a numerically controlled machine in which circular arc is incorporated. The developed biarcs-fitting method eliminates the problems in conventional straight-line approximation or single-arc fitting of curved tool path where it leaves ridges on the finished surface of the workpiece. The capability and advantages of the proposed biarcs-fitting method are demonstrated by applying it to the numerically controlled machining of a curved die profile for tube extrusion and a cam profile.",

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publisher = "Chinese Institute of Engineers",

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A study on the application of circular biarcs fitting to numerically controlled machining. / Lee, Rong Shean; Liang, Nan Jiune.

In: Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an, Vol. 7, No. 4, 10.1984, p. 225-232.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - A study on the application of circular biarcs fitting to numerically controlled machining

AU - Lee, Rong Shean

AU - Liang, Nan Jiune

PY - 1984/10

Y1 - 1984/10

N2 - A generalized method for fitting a pair of continuous arcs (known as biarc) between two data points with given directional constraints is proposed. Such a curve-fitting technique is useful for generating a continuous smooth tool path of a numerically controlled machine in which circular arc is incorporated. The developed biarcs-fitting method eliminates the problems in conventional straight-line approximation or single-arc fitting of curved tool path where it leaves ridges on the finished surface of the workpiece. The capability and advantages of the proposed biarcs-fitting method are demonstrated by applying it to the numerically controlled machining of a curved die profile for tube extrusion and a cam profile.

AB - A generalized method for fitting a pair of continuous arcs (known as biarc) between two data points with given directional constraints is proposed. Such a curve-fitting technique is useful for generating a continuous smooth tool path of a numerically controlled machine in which circular arc is incorporated. The developed biarcs-fitting method eliminates the problems in conventional straight-line approximation or single-arc fitting of curved tool path where it leaves ridges on the finished surface of the workpiece. The capability and advantages of the proposed biarcs-fitting method are demonstrated by applying it to the numerically controlled machining of a curved die profile for tube extrusion and a cam profile.

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JO - Chung-kuo Kung Ch'eng Hsueh K'an/Journal of the Chinese Institute of Engineers

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SN - 0253-3839

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ER -

A study on the application of circular biarcs fitting to numerically controlled machining

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