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Tolerance allocation using Monte Carlo simulation
Author(s) -
Aurel Tulcan,
Felicia Veronica Banciu,
Ion Grozav
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/916/1/012122
Subject(s) - interchangeability , monte carlo method , closing (real estate) , dimension (graph theory) , tolerance analysis , range (aeronautics) , interval (graph theory) , process capability index , computer science , chain (unit) , mathematics , engineering , mechanical engineering , engineering drawing , statistics , physics , work in process , combinatorics , operations management , astronomy , political science , law , aerospace engineering
Tolerance allocation is an important issue in product manufacturing, ensuring on the one hand the interchangeability of parts in an assembly and on the other hand, it has a major impact on the costs of manufacturing products and quality. This paper aim is to assign in a 2D dimensional chain with, dimensional and geometric tolerances, dimensional and angular (geometrical tolerances) values to dimensions in a variation interval in order to obtain a design required variation in dimension and angle for the closing element of that chain, using the Monte Carlo (MC) simulation. MC simulation randomly assigns values of the dimensions of the dimensional chain (DC) - for their module and angle - to their tolerance field, and then calculates the range for module and angle (R) caused at closing dimension in a sufficiently large number of cases. The ratio of the desired tolerance (Tdo) to the dimension chain closing element and the range (R) resulting from the simulation, respectively Tdo/R are calculated and compared with a value that must be greater or at least equal to an imposed value of an index dependent of the Cp - capability desired at the closing dimension. At the desired value that meets design requirements, the tolerance allocation process is completed.

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