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打顶期棉花顶芽茎秆离散元仿真参数标定与优化

Calibration and optimization of the discrete element simulation parameters of cotton terminal bud stem at the topping stage

  • 摘要: 针对棉花打顶过程中顶芽去除装置与棉花顶芽茎秆相互作用机理不明确,以及顶芽去除装置设计优化过程中缺乏准确可靠的棉花顶芽茎秆离散元仿真模型的问题,该研究以打顶期棉花顶芽茎秆为研究对象,利用离散元仿真软件(enhanced discrete element method,EDEM)构建棉花顶芽茎秆仿真模型,以物理试验测量的茎秆堆积角和茎秆最大拉伸破坏力、最大剪切力为优化目标,通过仿真堆积角试验和仿真拉伸剪切试验分别对茎秆仿真模型的物理参数和粘结参数进行标定与优化。物理试验测得茎秆堆积角为30.58°、茎秆最大拉伸破坏力为17.06 N、最大剪切力为5.56 N;标定得到茎秆-茎秆以及茎秆-钢板的碰撞恢复系数、滑动摩擦系数、滚动摩擦系数分别为0.3、0.65、0.53和0.39、0.73、0.4;茎秆粘结参数中单位面积法向接触刚度、单位面积切向接触刚度、临界法向应力、临界切向应力、粘结盘尺度因子分别为5.05×1010 N/m3、2.25×1010 N/m3、5.8×108 Pa、3×108 Pa、0.66。运用标定结果开展拉伸剪切仿真验证试验,拉伸试验和剪切试验仿真结果与物理试验实测结果相对误差分别为3.58%、4.08%,且仿真试验和物理试验的“时间-载荷”曲线变化趋势一致,表明所建立的棉花顶芽茎秆离散元模型较为合理,标定结果可为棉花顶芽去除装置的设计提供理论基础。

     

    Abstract: An accurate and reliable discrete element model of cotton terminal bud stem is often required to optimize the terminal bud removal device. However, it is still unclear on the interaction between the terminal bud removal device and the cotton terminal bud stem at the cotton topping stage. Taking the cotton terminal bud stem at the topping stage as the research object, this study aims to calibrate and optimize discrete element simulation parameters using EDEM software. Hertz-Mindlin non-slip model and Hertz-Mindlin bonding V2 model were used to construct the stem stacking angle model and the stem crushing model. The physical test was conducted to measure the stem stacking angle, maximum tensile failure force, and maximum shear failure force, thus taking as optimization objectives. Plackett-Burman, Steepest ascent and response surface tests were conducted for the experimental design. The parameters were then calibrated from the stem stacking angle and the bonding parameters of the stem crushing simulation model. Stacking angle and the tensile shear tests were optimized to verify the simulation. The parameters of cotton terminal bud stem after measurement were: The average diameter was 3.60 mm, the water content was 76.99%, and the density was 1 053 kg/m3. The stacking angle was measured by 30.58°; the maximum tensile and shear failure force were measured by 17.06 and 5.56 N, respectively. Plackett-Burman test analysis showed that the stem-stem static friction coefficient X4, the stem-stem rolling friction coefficient X5, and the stem-steel static friction coefficient X7 shared the significant effects on the stem stacking angle. In fracture response, the unit-area normal contact stiffness X9 and the bonded disk scale X13 also exerted significant influence on tensile and shear forces, indicating the sensitivity of failure loads to bonding stiffness and effective bonded area at particle contacts. Contact parameters were obtained after calibration: for stem–stem interactions, restitution 0.3, static friction 0.65, and rolling friction 0.53; for stem–steel interactions, restitution 0.39, static friction 0.73, and rolling friction 0.4. Calibrated bonding parameters were obtained as: unit-area normal stiffness 5.05×1010N/m³, unit-area shear stiffness 2.25×1010 N/m³, critical normal stress 5.8×108 Pa, critical shear stress 3×108 Pa, and bonded disk scale 0.66. The tensile shear test was conducted to verify the simulation, with the relative error of 3.58% for the tensile force between simulated (16.45 N) and the measured (17.06 N). The average shear force was 5.787 N after simulation, and the relative error of the 5.56 N was 4.08 % after measurement. The time-load curves of simulation and the physical test shared the same trend under loading, indicating that the parameter was calibrated to accurately reproduce the mechanical response of cotton terminal bud stem. Collectively, once the cotton apical-bud stem was subjected to systematic calibration and verification using discrete element method. High accuracy and reliability were obtained for granular repose and bonding fracture behavior. The findings can provide a quantitative basis to optimize the structural parameters in apical-bud removal devices.

     

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