Reliability Optimization Design of Automotive Mechanical Transmission Based on MATLAB
Degree circle diameter.
Since the shifting gears use involute gears, the gears that mesh with each other adopt the same modulus and the same helix angle. According to the design of the reverse gear in the research object of this paper, the modulus and the helix angle of the reverse gear should be the same as the value of the first gear, so the volume of the reverse gear depends on the reverse gear ratio. After the forward gear design is completed, other parameters of the reverse gear can be calculated based on the reverse gear ratio. Therefore, this paper does not consider the reverse gear four-speed transmission structure sketch gear in the process of reliability optimization design.
The general method for the reliability optimization design of the transmission is to first match the gears when the teeth of the gears are equal. (1): The reliability of the transmission is optimized. On this basis, the other zero-sum helix angles are: z(i= V..., 8) is the number of gear teeth.
In addition to the fourth gear being the direct gear, the other forward gear ratios are: the car transmission is a pair of gears engaged by shifting between two parallel shafts, which is characterized by the center distance A of each gear. Namely: It can be obtained from the above formula: it is mainly caused by insufficient surface contact fatigue strength.
Therefore, the reliability of the tooth surface contact fatigue strength is required. The reliability of this paper is not less than 01997. The corresponding reliability coefficient is 275. The tooth surface contact stress and the tooth surface contact fatigue strength limit are obtained. All obey the lognormal distribution, so the reliability coefficient constraint condition can be obtained by the coupling equation: 22. å一å3. å一å4å¿-Bit ik3 limit mean and coefficient of variation; Th is the tooth surface contact The mean and coefficient of variation of the stress.
(2) The reliability of tooth root bending fatigue strength is not consistently recognized. The lognormal distribution is used as an approximate model of root bending stress, and the coefficient of variation C is used as model compensation. The tooth root bending fatigue strength limit distribution obeys a lognormal distribution. Taking the reliability is not less than 0L997 Zhuanglian equation to obtain the reliability coefficient constraint condition: substituting formula (2) to obtain the objective function F(X)=Vi.2 to determine the design variable transmission design is a complex subject, involving There are many parameters and influencing factors. In order to simplify the problem, the main parameters considered in design B are taken as the optimal design variables: 3 determine the constraint condition of the helical gear reliability constraint (i) the mean and variation coefficient of the reliability constraint limit of the tooth surface contact fatigue strength; They are the mean and coefficient of variation of the root bending stress.
The reliability factor of the root and root bending fatigue strength of the main and driven gears should be calculated separately. The specific forms of equations (4) and (5) and the values ​​of the parameters may be
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