Meaning
Statistical method calculates the combined effect of multiple dimensional variations in an assembly. Root sum square tolerancing assumes that individual component variations follow a normal distribution and are unlikely to all reach their maximum limits simultaneously. This approach allows for more relaxed tolerances than a worst case analysis while maintaining a high probability of successful assembly.
Calculation Method
Square roots of the sum of the squares of individual tolerances provide the total expected variation. Using root sum square tolerancing helps in predicting the fit between battery cells and their holding frames. This technique reduces the need for expensive high precision machining in components where a small amount of variation is acceptable.
Probability Distribution
Manufacturing data from previous lots informs the standard deviation used in the model. When root sum square tolerancing is applied, the engineer accepts a calculated risk that a very small percentage of assemblies may fall outside the specification. This risk is typically managed through final inspection or selective assembly techniques.
Statistical control software often monitors the production line to ensure the assumptions of the normal distribution remain valid.
Application Scope
Electrical stack-ups and mechanical clearances in battery packs rely on these statistical estimates. By adopting root sum square tolerancing, a production line can increase its yield and reduce the scrap rate. The method is particularly effective in complex modules where dozens of individual parts are stacked together.