Abstract
Component tolerances for assembled products are often set with the help of the error transmission formula. However, this approach requires knowledge of the partial derivatives of the functional relationship between the component dimensions and the assembly quality characteristic. In many practical situations, those quantities are not easily obtained. In this article we will demonstrate how a combined use of computer-aided design (CAD) and design of experiments (DOE) can be used to obtain partial derivatives of the functional relationship without knowing an explicit mathematical expression for it. With knowledge of the partial derivatives, we can use the error transmission formula to establish functional tolerances. The intent of the present article is to demonstrate, with some examples, an idea and a set of techniques that can be used to set functional tolerances for mechanical components and assemblies.
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