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混合高階傅里葉非圓齒輪驅(qū)動的差速泵多目標(biāo)參數(shù)優(yōu)化
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國家自然科學(xué)基金項目(51305403)、浙江省自然科學(xué)基金項目(Y15E050026)、浙江理工大學(xué)521人次培養(yǎng)計劃項目、浙江水利水電學(xué)院中青年骨干教師第一層次培養(yǎng)項目和浙江省水利廳重點科技項目(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)動的差速泵,排量、脈動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數(shù)學(xué)模型;建立了排量、脈動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)評價函數(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率為22.04%,排量為3870.44mL,相比已有文獻(xiàn),脈動率降低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,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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