Dimensional Tolerance Analysis of Mechanical Assemblies with Symmetric and Asymmetric Tolerances

What is it about?

This chapter explains how dimensional tolerances affect the performance and assembly of mechanical parts. In manufacturing, parts cannot be made with perfectly exact dimensions, so a small allowable variation called tolerance is used. The study presents improved methods for analyzing these tolerances in mechanical assemblies using modified worst-case and root sum square (RSS) statistical methods. These modified methods can handle both symmetric and asymmetric tolerances and analyze how variations in individual parts affect the final assembly. The models are implemented in MATLAB and demonstrated through examples such as a thermos flask assembly and a one-way clutch assembly, where the effect of each component’s dimensional variation on the overall assembly performance is analyzed using percentage contribution graphs. The goal is to improve design accuracy, reduce manufacturing errors, and lower production cost.

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Why is it important?

This research is important because small dimensional variations in mechanical parts can affect how well components fit and function in an assembly. If tolerances are not properly analyzed, parts may not assemble correctly, which can lead to product failure, poor performance, or increased manufacturing costs. The study introduces improved methods for tolerance analysis that can handle asymmetric tolerances and complex assembly relationships, making the analysis more accurate. By automating this process and implementing it in tools like MATLAB, engineers can reduce design errors, improve product quality, shorten production time, and lower manufacturing costs, while ensuring that mechanical assemblies work properly.

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