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Received: 2003-12-16

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Journal of Zhejiang University SCIENCE A 2004 Vol.5 No.7 P.890~895


Mathematical model of cylindrical form tolerance

Author(s):  CAI Min, YANG Jiang-xin, WU Zhao-tong

Affiliation(s):  Department of Mechanical Engineering, Zhejiang University, Hangzhou 310012, China

Corresponding email(s):   1caim@fulltop.com, yangjx@hzcnc.com

Key Words:  Tolerance zone, Form tolerance, Mathematical definition, Mathematical model

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CAI Min, YANG Jiang-xin, WU Zhao-tong. Mathematical model of cylindrical form tolerance[J]. Journal of Zhejiang University Science A, 2004, 5(7): 890~895.

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Tolerance is essential for integration of CAD and CAM. Unfortunately, the meaning of tolerances in the national standard is expressed in graphical and language forms and is not adaptable for expression, processing and data transferring with computers. How to interpret its semantics is becoming a focus of relevant studies. This work based on the mathematical definition of form tolerance in ANSI Y14.5.1M-1994, established the mathematical model of form tolerance for cylindrical feature. First, each tolerance in the national standard was established by vector equation. Then on the foundation of tolerance’s mathematical definition theory, each tolerance zone’s mathematical model was established by inequality based on degrees of feature. At last the variance area of each tolerance zone is derived. This model can interpret the semantics of form tolerance exactly and completely.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1] Cai, M., Yang, J.X., Wu, Z.T., 2000. Theory and application of mathematical definition for orientation tolerance zone.Chinese Journal of Mechanical Engineering,36(11):54-58.

[2] Cai, M., Yang, J.X., Wu, Z.T., 2002. Theory and application of mathematical definition or tolerance for plane feature.Journal of Mechanical Engineering,13(2):128-130.

[3] Gou, J.B., Chu, Y.X., Li, Z.X., 1999. A geometric theory of form, profile, and orientation tolerances.Precision Engineering,23:79-93.

[4] Liu, Y.S., Wu, Z.T., Yang, J.X., 2001. Mathematical model of size tolerance for plane based on mathematical definition.Journal of Mechanical Engineering,37(9):12-17.

[5] Srinivasan, V., 1993. Recent Efforts in Mathematization of ASME/ANSI Y14.5M Standard. Proceedings of 3rd CIRP Seminars on Computer Aided Tolerancing, ENS de Cachan, France, p.97-113.

[6] Roy, U., Li, B., 1998. Representation and interpretation of geometric tolerances for polyhedral objects-I. Form tolerances.Computer-Aided-Design,30(2):151-161.

[7] Roy, U., Li, B., 1999. Representation and interpretation of geometric tolerances for polyhedral objects-II. Size, orientation and position tolerances.Computer-Aided-Design,31:273-285.

[8] Wu, Z.T., Yang J.X., 1999. Computer Aided Tolerance Design. Zhejiang University Press, Hangzhou, China (in Chinese).

Open peer comments: Debate/Discuss/Question/Opinion


Pratik Deokar@Oklahoma State University<pratik.deokar@okstate.edu>

2012-04-11 08:39:07

Searching for papers related to form tolerance came across this paper seems to be interesting.

Nandula@Umass Dartmouth<nwanasekara@umassd.edu>

2010-05-20 08:54:26

Good Paper

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