Abstract
The task of tolerance analysis usually addresses the question of the mechanical mountability of an assembly. We extend this viewpoint when talking about directional control valves in a crossdomain tolerance analysis; an analysis whose task is to determine the possible variation in the key product characteristics induced by a specific tolerance concept. As the available information about the noise factors to be toleranced is almost always imperfect generalised methods for their representation and the propagation of their impact on the key product characteristics are required. In this study the capabilities and potentials of belief and plausibility measures as well as fuzzy random variables are compared to traditional worst-case and statistical tolerance analysis.
Highlights
Directional control valves are mechatronic systems whose working principle places high demands on the manufacturing processes
Tolerances need to be established for all those noise factors that occur during production, e.g. variations of geometric features or material properties, taking into consideration the noise factors arising from the environment, e.g. temperature
While imprecision can be modelled for example within the set theory like it is done in traditional worst case tolerance analyses, uncertainty is typically expressed by measures like probability, possibility or plausibility
Summary
Directional control valves are mechatronic systems whose working principle places high demands on the manufacturing processes. This is to ensure the mechanical mountability of the whole assembly but is a matter of the required accuracy for the key product characteristics such as leakage flow, flow gain or response dynamics. To determine the scope of this analysis the parameter diagram, first introduced by the Japanese quality engineer Genichi Taguchi, can help to distinguish between input, output, control and noise factors like shown in figure 1. The outputs of the investigated product vary more or less due to the existence of noise factors but have to match the specified functional limits in order to gain customer satisfaction. Tolerances need to be established for all those noise factors that occur during production, e.g. variations of geometric features or material properties, taking into consideration the noise factors arising from the environment, e.g. temperature
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