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基于模糊綜合決策的直齒圓柱齒輪齒廓最佳修形

Tooth profile modification of the spur gear based on fuzzy comprehensive decision

  • 摘要: 在時變嚙合剛度和Blok閃溫理論的基礎之上,系統地分析齒廓修形參數對齒間載荷分配、傳動誤差和齒面閃溫的影響,并確定在單目標條件下齒廓修形的最佳修形參數.基于模糊綜合決策理論,確定了綜合考慮多目標條件下齒廓修形最佳修形參數.引入多目標條件下修形量的修正系數Xc,確定修正系數Xc的值,并給出多目標條件下修形量的計算公式.綜合最佳修形參數的最大修形量,取單雙齒嚙合區交替點BD的變形量乘以修正系數Xc,修形指數取1.43,修形方式為長修形.

     

    Abstract: Based on the time-varying mesh stiffness and the Blok flash temperature theory,the influence of tooth profile modification parameters on the load sharing ratio,transmission error and tooth surface flash temperature were systematically analyzed in this paper. The optimum tooth profile modification parameters were identified under the single-objective condition. On the other side,based on the fuzzy comprehensive decision theory,the optimum tooth profile modification parameters were identified under the multi-objective condition. The correction factor Xc was proposed,and its value was also given. Then a formula was introduced for calculating the modification amount. By the comprehensive optimum parameters of tooth profile modification,the maximum amount of tooth profile modification is the Xc times of the deformation of the alternating points B or D of the single and double tooth meshing regions under the condition that the modification index is 1.43 and the modification form is long modification.

     

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259luxu-164