Application of fuzzy control for anti-fatigue strength in bolts

Judging by experience, the probability of 610 MPa is the largest, and the possibility that the tensile strength deviates from this value is large or small. When the possibility of tensile strength Rb=610$u is the same, the normal expression expressed by the following formula can be used. The type membership function is used to indicate that a=610, and the selection of D mainly depends on the subjective judgment of the designer. The general principle is: the more ambiguous the information, the more uncertain the problem, the more the distribution should be large. So when we know the working stress of the bolt, the tensile strength limit Rb of the material and the symmetrical constant amplitude fatigue limit R-1k of the bolt, the asymmetry of the bolt can be obtained (-1 In summary, it is more appropriate to use the fuzzy number to represent the fatigue limit RC. Because it reflects such an objective situation, the asymmetric fatigue limit RC described by the Goodman equation cannot be exactly equal to the true asymmetric fatigue limit RC of the bolt, but can only be considered to be approximately equal to 0. In addition, there is another The outstanding advantages combine the designer's subjective information on the asymmetric fatigue limit, highlighting its complexity and information ambiguity. The fuzzy reliability of the fatigue strength of the bolted joint is usually in the reliability design of the fatigue strength of the bolted joint. Assuming that the stress follows a normal distribution, the probability density function is: and the strength is the normal membership function as described in the previous section. The fuzzy number is such that the two (3) and (8) equations are substituted into equation (2) to obtain the fuzzy failure probability. The final fuzzy reliability is: R=1-P(A) Therefore, the probability of the bolt not experiencing fatigue failure can be obtained according to the definition of fuzzy reliability or the bolt type used can be determined given the fuzzy reliability.

Concluding remarks (1) For example, the bolt used in the original design is M18, and its reliability is quite high. It is almost close to M16, and its reliability is still above 0.99, which indicates that the original design is more conservative. (2) In the fatigue strength design of bolted joints, if both the discreteness of stress and the ambiguity of strength are considered, the design will be more practical.

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