T-Maps to Model Composite Positional Tolerancing for Patterns of Features

[+] Author and Article Information
Gaurav Ameta

DakotaConsulting Inc, Silver Spring, MD, 20899

Gagandeep Singh

SalesForce.com Inc, San Francisco, CA, 94105

Joseph K. Davidson

Arizona State University, Tempe, AZ, USA, 85287

Jami Shah

The Ohio State University, Columbus, OH, USA, 43210

1Corresponding author.

ASME doi:10.1115/1.4039473 History: Received October 13, 2017; Revised February 05, 2018


For the first time, Tolerance-Maps© (T-Maps©) are constructed to model composite positional tolerancing applied to patterns (arrays) of features. The T-Map for a feature is a range (codomain) of points obtained by mapping all the variational possibilities (domain) of a feature within its tolerance-zone to a hypothetical Euclidean point space. T-Maps have been developed for tolerances applied to single features, but not for specifications available for tolerancing patterns of features. In this paper, the different pattern tolerancing from the Standards produce distinctions in geometric shape, proportions, and/or dimensions of a T-Map. The T-Map geometry is different when tolerances are specified with composite position tolerancing rather than with two-single-segment control frames. Additional changes to geometry occur when material modifiers are also specified. Two levels of T-Maps are proposed for a pattern of features; assembly-level and part-level. Assembly-level ensures the assembly of an engaging pattern of pins and holes, such as the array of pins on an integrated circuit which are to be inserted into a base. Part-level models the variations between the two parts that contain the engaging patterns. The assembly-level T-maps apply to any number of engaging pin/hole features arranged in any pattern: linear, circular, rectangular, or irregular. In this paper, the part-level T-Map is restricted to linear patterns. The different specifications are compared with a statistical analysis of misalignment for an assembly with linear pattern of pins and holes.

Section 4: U.S. Gov Employees + Reg Authors
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