ON THE EXACT COMPUTATION OF THE SWEPT SURFACE OF A CYLINDRICAL SURFACE UNDERGOING TWO-PARAMETER RATIONAL BÉZIER MOTIONS

J. Xia; Q. J. Ge

doi:10.1115/DETC2000/DFM-14039

ON THE EXACT COMPUTATION OF THE SWEPT SURFACE OF A CYLINDRICAL SURFACE UNDERGOING TWO-PARAMETER RATIONAL BÉZIER MOTIONS

J. Xia
, Q. J. Ge

Mechanical Engineering

Stony Brook University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

This paper extends the recent work of Xia and Ge (1999) to develop methods for the exact analysis of the swept surface of a cylindrical surface undergoing two-parameter rational Bézier motions. Instead of the approach of analyzing the point trajectory of an object motion for swept volume analysis, this paper seeks to develop a new approach to swept volume analysis by studying the plane trajectory of a rational motion. It seeks to bring together recent work in swept volume analysis, plane representation of developable surfaces, as well as computer aided synthesis of freeform rational motions. The results have applications in design and approximation of freeform surfaces as well as tool path planning for 5-axis machining of freeform surfaces.

Original language	English
Title of host publication	5th Design for Manufacturing Conference
Publisher	American Society of Mechanical Engineers (ASME)
Pages	375-381
Number of pages	7
ISBN (Electronic)	9780791835135
DOIs	https://doi.org/10.1115/DETC2000/DFM-14039
State	Published - 2000
Event	ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2000 - Baltimore, United States Duration: Sep 10 2000 → Sep 13 2000

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	3

Conference

Conference	ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2000
Country/Territory	United States
City	Baltimore
Period	09/10/00 → 09/13/00

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10.1115/DETC2000/DFM-14039

Cite this

Xia, J., & Ge, Q. J. (2000). ON THE EXACT COMPUTATION OF THE SWEPT SURFACE OF A CYLINDRICAL SURFACE UNDERGOING TWO-PARAMETER RATIONAL BÉZIER MOTIONS. In 5th Design for Manufacturing Conference (pp. 375-381). (Proceedings of the ASME Design Engineering Technical Conference; Vol. 3). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC2000/DFM-14039

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title = "ON THE EXACT COMPUTATION OF THE SWEPT SURFACE OF A CYLINDRICAL SURFACE UNDERGOING TWO-PARAMETER RATIONAL B{\'E}ZIER MOTIONS",

abstract = "This paper extends the recent work of Xia and Ge (1999) to develop methods for the exact analysis of the swept surface of a cylindrical surface undergoing two-parameter rational B{\'e}zier motions. Instead of the approach of analyzing the point trajectory of an object motion for swept volume analysis, this paper seeks to develop a new approach to swept volume analysis by studying the plane trajectory of a rational motion. It seeks to bring together recent work in swept volume analysis, plane representation of developable surfaces, as well as computer aided synthesis of freeform rational motions. The results have applications in design and approximation of freeform surfaces as well as tool path planning for 5-axis machining of freeform surfaces.",

author = "J. Xia and Ge, \{Q. J.\}",

note = "Publisher Copyright: Copyright {\textcopyright} 2000 by ASME.; ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2000 ; Conference date: 10-09-2000 Through 13-09-2000",

year = "2000",

doi = "10.1115/DETC2000/DFM-14039",

language = "English",

series = "Proceedings of the ASME Design Engineering Technical Conference",

publisher = "American Society of Mechanical Engineers (ASME)",

pages = "375--381",

booktitle = "5th Design for Manufacturing Conference",

}

Xia, J & Ge, QJ 2000, ON THE EXACT COMPUTATION OF THE SWEPT SURFACE OF A CYLINDRICAL SURFACE UNDERGOING TWO-PARAMETER RATIONAL BÉZIER MOTIONS. in 5th Design for Manufacturing Conference. Proceedings of the ASME Design Engineering Technical Conference, vol. 3, American Society of Mechanical Engineers (ASME), pp. 375-381, ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2000, Baltimore, United States, 09/10/00. https://doi.org/10.1115/DETC2000/DFM-14039

ON THE EXACT COMPUTATION OF THE SWEPT SURFACE OF A CYLINDRICAL SURFACE UNDERGOING TWO-PARAMETER RATIONAL BÉZIER MOTIONS. / Xia, J.; Ge, Q. J.
5th Design for Manufacturing Conference. American Society of Mechanical Engineers (ASME), 2000. p. 375-381 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - This paper extends the recent work of Xia and Ge (1999) to develop methods for the exact analysis of the swept surface of a cylindrical surface undergoing two-parameter rational Bézier motions. Instead of the approach of analyzing the point trajectory of an object motion for swept volume analysis, this paper seeks to develop a new approach to swept volume analysis by studying the plane trajectory of a rational motion. It seeks to bring together recent work in swept volume analysis, plane representation of developable surfaces, as well as computer aided synthesis of freeform rational motions. The results have applications in design and approximation of freeform surfaces as well as tool path planning for 5-axis machining of freeform surfaces.

AB - This paper extends the recent work of Xia and Ge (1999) to develop methods for the exact analysis of the swept surface of a cylindrical surface undergoing two-parameter rational Bézier motions. Instead of the approach of analyzing the point trajectory of an object motion for swept volume analysis, this paper seeks to develop a new approach to swept volume analysis by studying the plane trajectory of a rational motion. It seeks to bring together recent work in swept volume analysis, plane representation of developable surfaces, as well as computer aided synthesis of freeform rational motions. The results have applications in design and approximation of freeform surfaces as well as tool path planning for 5-axis machining of freeform surfaces.

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M3 - Conference contribution

AN - SCOPUS:0004036834

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PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2000

Y2 - 10 September 2000 through 13 September 2000

ER -

ON THE EXACT COMPUTATION OF THE SWEPT SURFACE OF A CYLINDRICAL SURFACE UNDERGOING TWO-PARAMETER RATIONAL BÉZIER MOTIONS

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