Bloul Benattia

11. Calculation of profile error obtained by the fuzzy logic method

the journey with himself, he does not have any difference.

58 Fuzzy Logic Based in Optimization Methods and Control Systems and Its Applications

8 < :

the ideal model.

(see Figure 13).

Erri ¼

Erri ≤ ε<sup>i</sup>

Figure 13. Calculation of the error of the result of the fuzzy logic and the normal vector.

Concluding that the proposed method presents the maximum error in curve peaks, among its values are 0.15, 0.14, 0.1, and 0.1 mm. These peaks have been found to represent intersections between two curves. The weakness of this method is in the intersections of the curves. But in

Indeed, it has been deduced that the result of fuzzy logic is the closest to the ideal curve because of some points that appeared to define the involute curve; at this moment; we could not calculate them by the normal vector method. The graph was constructed by the following formula:

xf � xv

The fuzzy logic algorithm is used to estimate the actual tooth area of the gears. The performance results given by our approach were compared to the performance of these data using

It is clear that the use of the fuzzy logic estimator is appropriate and estimates the actual area of the tooth which consists of a very complicated path when detecting teeth by CMMs in the sense that the application of the logic technique with estimation of dynamic non-linear systems, special cases, and the surface of the gear which contains several parameters is the best

Anyway, this problem is solved by this approach. Thus, the role of this work is the determination of the tooth curve to estimate the shape defect of the gears. In our future work, we will try to implement other learning algorithms such as the Kalman estimator or fuzzy neuron.

ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi

(14)

� �<sup>2</sup> � yf � yv � �<sup>2</sup> <sup>r</sup>

Address all correspondence to: bloul.benattia@univ-boumerdes.dz

Reliability Laboratory of Petroleum Equipment and Materials-Boumerdes, M'hamed Bougara University of Boumerdès, Boumerdes, Algeria
