A Proposal of Hyperbolic Fitting Method by Applying the Properties of Functions for Plateau Surface Analysis in ISO 13565-3

ISO 13565-3 provides an evaluation method for plateau structure surfaces used as sliding surfaces in machine tools and automobile engines. The evaluation method for plateau structure surfaces of ISO 13565-3 has problems, such as the processing procedure has an ambiguous basis, and the calculation method is not specified. The existing evaluation method that solves these problems requires the implementation of a difficult algorithm. In subsequent evaluation methods, these problems were resolved, and the implementation of complicated calculation algorithms became unnecessary. However, these methods use algorithms that do not conform to the evaluation method of ISO 13565-3. This lack of adherence to the ISO standard may hinder their application in the industrial world. Therefore, in this study, a new method that conforms to the evaluation method of ISO 13565-3 with a more concise algorithm was developed. We concluded that this proposed method can contribute to the formation of plateau surfaces and production control in the industrial world.