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果園開溝施肥機(jī)機(jī)架優(yōu)化設(shè)計(jì)與試驗(yàn)
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國家重點(diǎn)研發(fā)計(jì)劃項(xiàng)目(2016YFD0201104)和國家蘋果產(chǎn)業(yè)技術(shù)體系項(xiàng)目(CARS-27)


Optimization Design and Experiment for Rack of Orchard Ditching-fertilizer Machine
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    摘要:

    為提高果園開溝施肥機(jī)的動態(tài)作業(yè)性能,避免共振的發(fā)生,同時(shí)保證作業(yè)時(shí)開溝一致性及施肥穩(wěn)定性,對其機(jī)架進(jìn)行多目標(biāo)優(yōu)化設(shè)計(jì)。首先,建立果園開溝施肥機(jī)機(jī)架的參數(shù)化模型及有限元模型。其次,通過模態(tài)分析,得出機(jī)架的固有頻率及振型,研究其對整機(jī)動態(tài)性能的影響,將一階模態(tài)頻率設(shè)定為目標(biāo)函數(shù)。通過機(jī)架靈敏度分析,得到各桿件厚度對一階模態(tài)頻率的靈敏度,將靈敏度桿件的厚度設(shè)定為設(shè)計(jì)變量,將其厚度變化范圍設(shè)定為約束條件。根據(jù)現(xiàn)代農(nóng)機(jī)結(jié)構(gòu)輕量化設(shè)計(jì)的要求,將機(jī)架的質(zhì)量也作為目標(biāo)函數(shù)。以目標(biāo)函數(shù)、設(shè)計(jì)變量、約束條件為基礎(chǔ),構(gòu)建機(jī)架多目標(biāo)優(yōu)化的數(shù)學(xué)模型。然后,基于Hammersley抽樣方法,按約束條件選取42組試驗(yàn)樣本進(jìn)行試驗(yàn)設(shè)計(jì),并計(jì)算其對應(yīng)的目標(biāo)值。根據(jù)試驗(yàn)設(shè)計(jì)結(jié)果,選用移動最小二乘法并擬合出對應(yīng)響應(yīng)面。其中,一階模態(tài)頻率響應(yīng)面模型的決定系數(shù)R2=0.9974,質(zhì)量響應(yīng)面模型的決定系數(shù)R2=0.9999,均大于擬合模型要求的精度0.9,擬合精度較高,滿足設(shè)計(jì)要求。最后,基于響應(yīng)面以及多目標(biāo)遺傳算法對果園開溝施肥機(jī)機(jī)架進(jìn)行結(jié)構(gòu)優(yōu)化設(shè)計(jì)。優(yōu)化結(jié)果表明:優(yōu)化后的果園開溝施肥機(jī)機(jī)架一階模態(tài)頻率由原來的35.39Hz提高到38.31Hz,提高了8.25%,且遠(yuǎn)離拖拉機(jī)的輸入頻率35Hz;優(yōu)化后質(zhì)量為389kg,滿足在提升一階模態(tài)頻率下,質(zhì)量最小的要求。優(yōu)化后果園開溝施肥機(jī)作業(yè)的開溝一致性系數(shù)和施肥穩(wěn)定性系數(shù)比優(yōu)化前分別提高3.72%、3.57%,提升效果明顯,滿足果園開溝施肥生產(chǎn)要求。

    Abstract:

    China has superior natural conditions and is suitable for the growth of fruit trees. It is a big fruit producing country. The cultivation area and yield of fruit trees rank first in the world all year round. Fertilization of fruit trees is a key link in orchard management. Ditching fertilizer machine is an important equipment to realize mechanized fertilization in orchard. In order to improve the dynamic performance of orchard ditching fertilizer machine, avoid resonance, and ensure ditching consistency and fertilization stability, the multi-objective optimization design of its rack was carried out. Firstly, the parametric model and finite element model for the rack of the orchard ditching fertilizer machine were established. Secondly, through modal analysis, the natural frequency and vibration mode of the rack were obtained, and its influence on the dynamic performance of the whole machine was studied, and the first-order modal frequency was set as the objective function. Through the sensitivity analysis of the rack, the sensitivity of each member thickness to the first-order modal frequency was obtained. The thickness of the sensitive member was set as the design variable, and its thickness variation range was set as the constraint condition. According to the requirements of modern agricultural machinery structure lightweight design, the quality of the rack was also taken as the objective function. On the basis of objective function, design variables and constraints, the mathematical model of multi-objective optimization of rack was constructed. Then, based on Hammersley sampling method, totally 42 groups of test samples were selected according to the constraint conditions to design the experiment, and the corresponding target values were calculated. According to the experimental design results, the moving least square method was determined and the corresponding response surface was fitted. Among them, the complex correlation coefficient R2 of the first-order modal frequency response surface model was 0.9974, and the complex correlation coefficient R2 of the mass response surface model was 0.9999, which were all higher than the accuracy required by the fitting model of 0.9, which met the design requirements. Finally, based on response surface methodology and multi-objective genetic algorithm, the structure optimization design for the rack of the orchard ditching fertilizer machine was carried out. The optimization results showed that the first-order modal frequency of the optimized rack of the orchard ditching fertilizer machine was increased by 8.25% from the original value of 35.39Hz to 38.31Hz, and was far away from the input frequency of the tractor;the optimized mass was 389kg, which can meet the requirements of minimum mass when the first-order modal frequency was raised. After optimization, the ditching consistency and fertilization stability of orchard ditching and fertilizing machine were increased by 3.72% and 3.57% respectively compared with those before optimization, and the improvement effect was obvious, which met the requirements of orchard ditching and fertilization production.

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劉雙喜,徐春保,張宏建,張成福,劉雪梅,王金星.果園開溝施肥機(jī)機(jī)架優(yōu)化設(shè)計(jì)與試驗(yàn)[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2020,51(s1):113-122. LIU Shuangxi, XU Chunbao, ZHANG Hongjian, ZHANG Chengfu, LIU Xuemei, WANG Jinxing. Optimization Design and Experiment for Rack of Orchard Ditching-fertilizer Machine[J]. Transactions of the Chinese Society for Agricultural Machinery,2020,51(s1):113-122.

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  • 收稿日期:2020-08-01
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  • 在線發(fā)布日期: 2020-11-10
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