Digraphic approach for dimensional chain identification in design and manufacturing

Ping Ji, J. Y H Fuh, R. S. Ahluwalia

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

2 Citations (Scopus)


In order to determine working dimensions and tolerances of a process plan, a tolerance chart is often employed. Dimensional chain identification is a necessary step in the tolerance charting procedures. This paper presents a digraphic theoretical representation for a tolerance chart. Two directed trees are generated from working dimensions, blueprint dimensions and stock removals of the tolerance chart. These trees are then used to identify dimensional chains in order to find the relationship among the design and manufacturing dimensions. Furthermore, the concept of a reverse dimensional chain is introduced. The reverse dimensional chains can also be identified from the directed trees. Moreover, the relationship between the forward and reverse dimensional chains is discussed. Finally, the applications of dimensional chains to working dimension and tolerance determination are briefly described.
Original languageEnglish
Title of host publicationAmerican Society of Mechanical Engineers, Production Engineering Division (Publication) PED
Number of pages6
Publication statusPublished - 1 Dec 1994
Externally publishedYes
EventProceedings of the 1994 International Mechanical Engineering Congress and Exposition - Chicago, IL, United States
Duration: 6 Nov 199411 Nov 1994


ConferenceProceedings of the 1994 International Mechanical Engineering Congress and Exposition
Country/TerritoryUnited States
CityChicago, IL

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering
  • Mechanical Engineering

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