Geometric constraints include dimensional constraints, and the upper and lower bound constraints of each design variable can be considered as fuzzy subsets in the design space, thereby establishing the following constraints. The fuzzy reliability of the static strength of the spring constrains the torsional shear stress of the spring. The formula can be expressed as the mean and standard deviation of the torsional shear stress limit. The force seems to take into account the errors in processing and manufacturing, usually taking the habits, island closures, and often taking in the calculations. The probability density function of the torsional shear stress limit of the normal distribution is obeyed by the principle of fuzzy, and the fuzzy reliability of the static strength of the spring is the spring of the Chinese style. The membership function of static strength is the constraint of fuzzy reliability.
The fuzzy reliability of the fatigue strength of the spring is constrained by the elastic load. When the fatigue strength is changed, the fatigue strength of the spring is the pulsating fatigue limit of the spring material. Assuming a normal distribution, a random variable. The mean value for the minimum working load is the mean of the maximum working load. The mean value and standard deviation of the fatigue strength of the spring are in the above formula. The mean value of the pulsation fatigue limit of the spring material is the mean value of the spring force.
From this, the normal probability density function, Rui Jinkou and the fuzzy principle, can obtain the fuzzy reliability of the fatigue strength of the spring. In the case of the membership function of the spring fatigue strength, the fuzzy reliability is constrained to the reliability of the work and design requirements.
The spring diameter of the spring is constrained by the end of the cluster. At this point, a mathematical model for converting the common constraints of the valve spring has been established, and the constraints can also be changed depending on the changes in the work requirements. The model solving model transformation is solved by the optimal horizontal cut-off method, and the fuzzy optimization model is transformed into the conventional optimization model on the optimal horizontal cut-off set.
The first-level optimization comprehensive evaluation is used to determine the optimal horizontal threshold value to influence the optimal threshold value. The factor grade and membership degree are determined by the expert scoring method. Determining the alternative set In this design, the selected judgement object is the cut-off level value, and its value range is the price range.
According to the design requirements and conditions, the alternative set can be taken as a few. The weight set is determined to accurately reflect the influence of each factor and its factor level on the judge. The weight set corresponding to each factor set and factor level should be given. Design conditions determine the set of weights.
The first-level comprehensive fuzzy evaluation can be changed by the multiplication rule of the matrix. The fuzzy comprehensive evaluation set is the fuzzy relation matrix in which the design method is arranged in the order of the values ​​of the respective membership functions. The evaluation result of the first-level fuzzy comprehensive evaluation can be determined as the optimal horizontal cut.
After the model calculation is converted into the conventional constrained optimization model, the Turtc2.0 programming calculation is used to solve the problem. When programming, the three design variables are considered to be within a certain range, and are parameters with a certain distribution law, so that the for statement in the C language can be used to implement the change. In order to achieve the purpose of inputting only design variables, only the spring diameter of the spring, the diameter of the spring, and the number of working circles of the spring are used as unknown variables in the program, and other parameters involved are considered to be the most achievable in the macro. Processing in the definition.
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