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混合高階傅里葉非圓齒輪驅(qū)動(dòng)的差速泵多目標(biāo)參數(shù)優(yōu)化
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國(guó)家自然科學(xué)基金項(xiàng)目(51305403)、浙江省自然科學(xué)基金項(xiàng)目(Y15E050026),、浙江理工大學(xué)521人次培養(yǎng)計(jì)劃項(xiàng)目,、浙江水利水電學(xué)院中青年骨干教師第一層次培養(yǎng)項(xiàng)目和浙江省水利廳重點(diǎn)科技項(xiàng)目(RB1507)


Multi-objective Optimization of Mixed High-order Fourier Non-circular Gear-driven Differential Pump
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    摘要:

    混合高階傅里葉非圓齒輪驅(qū)動(dòng)的差速泵,,排量,、脈動(dòng)率和齒輪不根切最大模數(shù)等性能指標(biāo)影響因素復(fù)雜,,為了方便快捷地獲得最佳參數(shù),,建立混合高階非圓齒輪階數(shù)與差速泵葉片參數(shù)的基本關(guān)系和混合高階傅里葉非圓齒輪傳動(dòng)數(shù)學(xué)模型,;建立了排量、脈動(dòng)率和不根切最大模數(shù)的子目標(biāo)函數(shù),,使用功效系數(shù)法建立差速泵性能的多目標(biāo)評(píng)價(jià)函數(shù),,采用遺傳算法求解多目標(biāo)函數(shù),得到相同泵腔尺寸下具有最大排量和最小脈動(dòng)率的滿足不根切最大模數(shù)大于1.5的混合高階傅里葉非圓齒輪階數(shù)比和節(jié)曲線參數(shù)非劣解,,優(yōu)化后的差速泵最小脈動(dòng)率為22.04%,,排量為3870.44mL,相比已有文獻(xiàn),,脈動(dòng)率降低11.3%,,排量增加3%。

    Abstract:

    The mixed highorder Fourier noncircular geardriven differential pump has some performance indexes such as discharge, flow pulsation and the maximum modulus of noncircular gear undercut which have many complex influential factors. In order to obtain the best parameters, the basic relations between the order of Fourier noncircular gear and parameters of vanes were established. The mixed highorder Fourier noncircular gear transmission model was built. The subobjective functions of displacement and flow pulsation, and the maximum modulus of noncircular gear undercut were presented. The target evaluation function using the efficacy coefficient method was put forward. And then the multiobjective optimization method was designed based on genetic algorithm to obtain noninferior solutions when the mixed highorder Fourier noncircular geardriven differential pump has the maximum capacity and the minimum pulsation rate which meets the requirement that the maximum modulus of noncircular gear undercut was more than 1.5 in the same pump cavity size. The flow pulsation rate of the optimized differential pump was 22.04% and the displacement was 3870.44mL. Thus, the flow pulsation rate was decreased by 11.3% and the displacement was increased by 3% compared with the existed study.

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徐高歡,陳建能,童志鵬.混合高階傅里葉非圓齒輪驅(qū)動(dòng)的差速泵多目標(biāo)參數(shù)優(yōu)化[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2016,47(1):383-390. Xu Gaohuan, Chen Jianneng, Tong Zhipeng. Multi-objective Optimization of Mixed High-order Fourier Non-circular Gear-driven Differential Pump[J]. Transactions of the Chinese Society for Agricultural Machinery,2016,47(1):383-390.

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  • 收稿日期:2015-05-05
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  • 在線發(fā)布日期: 2016-01-10
  • 出版日期: 2016-01-10
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