Using fuzzy set to model the stability region on the bicycle derailleur system

Abstract

In designing the bicycle derailleur system, designers can use the results from the "stability region test" to determine many parameters. Experimentation is the most accurate way to find a stability region because it is very difficult to derive a mathematical expression for the stability region. In this paper, a fuzzy set is used to determine the stability region of the bicycle derailleur system. The database of the fuzzy set model is created from the experimental results. The relationship between the experimental data and fuzzy set model will be described. Many properties of the stability region can be derived from this model. The existence of the stability region, the reduction of experimental noise, the determination of indexed points, and other techniques in designing an indexed derailleur system will also be introduced. This approach can simplify the previous representations of the stability region and the mechanical characteristics. Finally, a case study of the market product is presented. (C) 2001 Elsevier Science B.V. All rights reserved.