Accession Number:

AD0701863

Title:

PROBABILITY OF DEFECTIVE ASSEMBLIES WHEN COMPONENT TOLERANCES ARE INCORRECT

Descriptive Note:

Technical rept.

Corporate Author:

ARMY NATICK LABS MA

Personal Author(s):

• Jayne, Lance W.
• Ross , Jr, Edward W.

Report Date:

1969-12-01

Pagination or Media Count:

57.0

Abstract:

The report describes an investigation of how errors in components of an assembly can affect its performance. In particular the report deals with the situation, uncommon in engineering practice, where the output tolerance of the assembly may be violated even though the tolerances on the components are all met. This situation is analyzed to estimate the probability that the output tolerance will be satisfied given that the component tolerances are met. Three methods are described for estimating this probability, their results are compared in a number of cases, and a best method is chosen. Several simple rules, suitable for preliminary estimates, are also given. An example is worked out showing a simple application of the method.

Descriptors:

• *RELIABILITY
• *TOLERANCES(MECHANICS)
• ANALYSIS OF VARIANCE
• APPROXIMATION(MATHEMATICS)
• ERRORS
• INTEGRAL TRANSFORMS
• MANUFACTURING
• MATHEMATICAL PREDICTION
• MONTE CARLO METHOD
• NUMERICAL ANALYSIS
• PERFORMANCE(ENGINEERING)
• PROBABILITY DENSITY FUNCTIONS

Subject Categories:

• Statistics and Probability
• Manufacturing and Industrial Engineering and Control of Production Systems

Distribution Statement:

APPROVED FOR PUBLIC RELEASE