Representation and interpretation of geometric tolerances for polyhedral objects-I. Form tolerances

Utpal Roy; Bing Li

doi:10.1016/S0010-4485(97)00088-2

Representation and interpretation of geometric tolerances for polyhedral objects-I. Form tolerances

Utpal Roy, Bing Li

Department of Mechanical & Aerospace Engineering

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

84 Scopus citations

Abstract

This paper presents a scheme for representing form tolerances for polyhedral objects in solid modelers. This includes the development of a complete form tolerance zone definition based on a rigorous mathematical formulation in which derived algebraic constraints define the model variations. The paper also presents a procedure for the representation of the variant boundary surfaces that approximate the real world form variations and simulate the variations by planar surfaces (for tolerance analysis). The proposed scheme has been implemented in an object-oriented programming environment.

Original language	English (US)
Pages (from-to)	151-161
Number of pages	11
Journal	CAD Computer Aided Design
Volume	30
Issue number	2
DOIs	https://doi.org/10.1016/S0010-4485(97)00088-2
State	Published - 1998

Keywords

Form tolerance
Tolerance zone
Variational model

ASJC Scopus subject areas

Computer Science Applications
Computer Graphics and Computer-Aided Design
Industrial and Manufacturing Engineering

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10.1016/S0010-4485(97)00088-2

Cite this

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title = "Representation and interpretation of geometric tolerances for polyhedral objects-I. Form tolerances",

abstract = "This paper presents a scheme for representing form tolerances for polyhedral objects in solid modelers. This includes the development of a complete form tolerance zone definition based on a rigorous mathematical formulation in which derived algebraic constraints define the model variations. The paper also presents a procedure for the representation of the variant boundary surfaces that approximate the real world form variations and simulate the variations by planar surfaces (for tolerance analysis). The proposed scheme has been implemented in an object-oriented programming environment.",

keywords = "Form tolerance, Tolerance zone, Variational model",

author = "Utpal Roy and Bing Li",

note = "Funding Information: This researchw as supportedi n part by a Syracuse University Fellowship and a grant from the New York State Center for Advanced Technology in Computer Applications and Software Engineering (CASE center). The authors thank the anonymous referees for their valuable suggestions.",

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N2 - This paper presents a scheme for representing form tolerances for polyhedral objects in solid modelers. This includes the development of a complete form tolerance zone definition based on a rigorous mathematical formulation in which derived algebraic constraints define the model variations. The paper also presents a procedure for the representation of the variant boundary surfaces that approximate the real world form variations and simulate the variations by planar surfaces (for tolerance analysis). The proposed scheme has been implemented in an object-oriented programming environment.

AB - This paper presents a scheme for representing form tolerances for polyhedral objects in solid modelers. This includes the development of a complete form tolerance zone definition based on a rigorous mathematical formulation in which derived algebraic constraints define the model variations. The paper also presents a procedure for the representation of the variant boundary surfaces that approximate the real world form variations and simulate the variations by planar surfaces (for tolerance analysis). The proposed scheme has been implemented in an object-oriented programming environment.

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KW - Variational model

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Representation and interpretation of geometric tolerances for polyhedral objects-I. Form tolerances

Abstract

Keywords

ASJC Scopus subject areas

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