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Chaos is ergodic, random, and can repeat traversal of all state in a certain range according to the laws of its own. At the same time, taking advantage of the ability of large-scale collective parallel computing of the neural network, we studied the neural network model with chaos characteristics. We applied it in the fuzzy reliability optimization of automotive transmission shaft considering the fuzziness and randomness of the design parameters. An example was given for the optimization calculation.

The rolls are classified into two types; one is a single-solid type, and the other is a shrink-fitted construction type consisting of a sleeve and a shaft. The bimetallic work rolls are widely used in the roughing stands of hot rolling stand mills. Regarding a shrink-fitted construction type, the interfacial slip sometimes appears between the shaft and the shrink-fitted sleeve. This interfacial slip can be regarded as the relative displacement between the sleeve and the shaft. In this paper, the stress due to the interfacial slip is studied because the stress may cause the sleeve fracture. It is found that the stress in the shrink-fitted surface is slightly decreased with increasing number of rotations n. Therefore, the stress obtained by the simulation at n = 2 can be used to estimate the fatigue strength.