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拖拉機最終傳動多目標模糊可靠性優(yōu)化設計
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Multi-objective Fuzzy Reliability Optimization Design of Tractor’s Final Transmission
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    摘要:

    綜合考慮拖拉機單級外嚙合直齒圓柱齒輪最終傳動的承載能力、結構、齒面磨損和傳動效率等問題,應用模糊數(shù)學和可靠性理論以及多目標優(yōu)化技術對該機構進行設計。建立了以機構的體積和兩齒輪的最大滑動系數(shù)最小、效率最高為目標函數(shù),以模數(shù)、小齒輪齒數(shù)、齒寬和嚙合角為設計變量的多目標模糊可靠性優(yōu)化設計數(shù)學模型,應用多目標優(yōu)化的模糊解法和遺傳算法對其進行求解。在保證最大滑動系數(shù)不超限的前提下,模糊可靠性優(yōu)化設計方案比常規(guī)可靠性優(yōu)化設計和原設計方案體積分別減小1.55%和6.74%,且傳動效率得以提高。

    Abstract:

    Fuzzy mathematics, reliability theory and multi-objective optimization technology were applied to design tractor’s final transmission with external single-stage spur gear based on comprehensive consideration on its loading capacity, structure, tooth face wear and transmission efficiency. The mathematical model for the multi-objective reliability optimization design was set up under the objective of the minimal volume and gears’ maximal sliding coefficients, and the maximal efficiency of the mechanism, with the design variable of module, teeth number of the pinion, teeth width and meshing angle. Then, the fuzzy solution of multi-objective optimization and genetic algorithm were used to solve this model. On the premise of ensuring the maximal sliding coefficient below the allowable value, the final transmission’s volume reduces by 1.55% and 6.74% of the common reliability optimization and original design scheme respectively, and the efficiency improves.

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葉秉良,俞高紅,趙勻.拖拉機最終傳動多目標模糊可靠性優(yōu)化設計[J].農業(yè)機械學報,2010,41(4):95-100. Multi-objective Fuzzy Reliability Optimization Design of Tractor’s Final Transmission[J]. Transactions of the Chinese Society for Agricultural Machinery,2010,41(4):95-100.

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