果园开沟施肥机机架优化设计与试验
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国家重点研发计划项目(2016YFD0201104)和国家苹果产业技术体系项目(CARS-27)


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

    为提高果园开沟施肥机的动态作业性能,避免共振的发生,同时保证作业时开沟一致性及施肥稳定性,对其机架进行多目标优化设计。首先,建立果园开沟施肥机机架的参数化模型及有限元模型。其次,通过模态分析,得出机架的固有频率及振型,研究其对整机动态性能的影响,将一阶模态频率设定为目标函数。通过机架灵敏度分析,得到各杆件厚度对一阶模态频率的灵敏度,将灵敏度杆件的厚度设定为设计变量,将其厚度变化范围设定为约束条件。根据现代农机结构轻量化设计的要求,将机架的质量也作为目标函数。以目标函数、设计变量、约束条件为基础,构建机架多目标优化的数学模型。然后,基于Hammersley抽样方法,按约束条件选取42组试验样本进行试验设计,并计算其对应的目标值。根据试验设计结果,选用移动最小二乘法并拟合出对应响应面。其中,一阶模态频率响应面模型的决定系数R2=0.9974,质量响应面模型的决定系数R2=0.9999,均大于拟合模型要求的精度0.9,拟合精度较高,满足设计要求。最后,基于响应面以及多目标遗传算法对果园开沟施肥机机架进行结构优化设计。优化结果表明:优化后的果园开沟施肥机机架一阶模态频率由原来的35.39Hz提高到38.31Hz,提高了8.25%,且远离拖拉机的输入频率35Hz;优化后质量为389kg,满足在提升一阶模态频率下,质量最小的要求。优化后果园开沟施肥机作业的开沟一致性系数和施肥稳定性系数比优化前分别提高3.72%、3.57%,提升效果明显,满足果园开沟施肥生产要求。

    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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刘双喜,徐春保,张宏建,张成福,刘雪梅,王金星.果园开沟施肥机机架优化设计与试验[J].农业机械学报,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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  • 在线发布日期: 2020-11-10
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