Open Access

ABSTRACT

The functional dimensioning: application of vector algebra to the design of mechanical parts. study case.

Z Damian-Noriega¹, PA Lomeli-Mejia², SA Villanueva-Pruneda¹, R Pérez-Moreno¹, JPA Puerta-Huerta¹, E Montes-Estrada¹, GD Alvarez-Miranda¹

1 Universidad Autónoma Metropolitana-Azcapotzalco, D.F., Mexico
2 Instituto Nacional de Rehabilitación, D.F., Mexico

The International Conference on Computational & Experimental Engineering and Sciences 2010, 14(1), 29-36. https://doi.org/10.3970/icces.2010.014.029

Abstract

The sizing of the component parts of a mechanical assembly must first assure its assembly and functionality and then the replacement (interchangeability) of used parts with new parts. For diametral fits (gaps and interferences) the ISO system of limits and fits is used, but for axial gaps the functional dimensioning method is applied to ensure maximum and minimum functional values. For each axial gap, the axial dimensions of the involved parts must be identified. Later, a minimal chain of dimensions is established, defined as the addition and subtraction of vectors parallel to the axis of interest. The difference between the maximum and minimum allowable axial gap is its dimensional tolerance that will be distributed among all components of the dimensional chain. The resultant dimensional tolerance for each dimension should be obtainable through the normal machining processes. In the mechanical design of a CO₂ laser were identified 18 functional axial gaps, and to determine the tolerance of each dimension were considered ISO Tolerance Grades IT9 to IT13, but rounded to 0.05 mm in order to verify them with a Vernier caliper with reading error of 0.05 mm.

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Keywords

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