卫佳,傅佳翌,王树才,等. 冷鲜波尔山羊肋骨弯曲破坏离散元参数标定[J]. 农业工程学报,2024,40(21):1-11. DOI: 10.11975/j.issn.1002-6819.202405082
    引用本文: 卫佳,傅佳翌,王树才,等. 冷鲜波尔山羊肋骨弯曲破坏离散元参数标定[J]. 农业工程学报,2024,40(21):1-11. DOI: 10.11975/j.issn.1002-6819.202405082
    WEI Jia, FU Jiayi, WANG Shucai, et al. Parameters calibration of discrete element bending failure on the chilled Boer goat rib[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2024, 40(21): 1-11. DOI: 10.11975/j.issn.1002-6819.202405082
    Citation: WEI Jia, FU Jiayi, WANG Shucai, et al. Parameters calibration of discrete element bending failure on the chilled Boer goat rib[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2024, 40(21): 1-11. DOI: 10.11975/j.issn.1002-6819.202405082

    冷鲜波尔山羊肋骨弯曲破坏离散元参数标定

    Parameters calibration of discrete element bending failure on the chilled Boer goat rib

    • 摘要: 针对羊胴体自动化屠宰中分割等关键环节离散元仿真缺乏准确模型的问题,该研究以冷鲜波尔山羊肋骨为研究对象,通过EDEM仿真软件开展羊肋骨弯曲破坏离散元仿真建模和各参数标定研究。通过单轴压缩试验测量确定羊肋骨的基本本征参数,其中泊松比为0.34,剪切模量为4.52×108 Pa,弹性模量为1.211×109 Pa。基于碰撞、斜面法等摩擦方法及摩擦系数仪分别测定了羊肋骨的骨-骨、骨-钢的碰撞恢复系数、静摩擦系数及滚动摩擦系数。然后基于EDEM的Hertz-Mindlin with bonding(HMB)接触模型进行了羊肋骨弯曲破坏仿真,经最陡爬坡试验确定了羊肋骨离散元仿真模型的黏结参数范围,运用响应曲面法分析得出羊肋骨颗粒包括法向接触刚度、切向接触刚度、临界法向应力与临界切向应力等4个黏结参数的最优值,分别为7.07×1013 N/m3、6.22×1012 N/m3、1.34×108 Pa和1.87×108 Pa。针对建立的羊肋骨弯曲破坏离散元仿真模型开展了5组不同外形尺寸对比试验验证,研究结果表明,仿真破坏力与实测破坏力的相对误差不大于6.49%,平均相对误差为4.19%,本文标定方法正确可行,仿真模型的标定参数准确可靠。本研究结果可为分析羊胴体分割刀具的作业机理进而优化分割刀具设计提供理论依据和方法参考。

       

      Abstract: The goat rib is the main obstacle in the process of automatic goat carcass segmentation. A scientific and reliable discrete element model of goat rib can provide both the analysis of mechanized goat carcass segmentation process and the optimization of tool parameters with the theoretical basis. The Hertz-Mindlin with bonding model (HMB), which can simulate the bonding between the particles, was selected to build the model of goat rib because of the tight bonding property of goat rib before crushing. In order to obtain the scientific and reliable discrete element model of goat rib, the measurement and calibration of basic physical parameters, contact parameters, and bonding parameters of goat ribs were essential. Therefore, the Boer goat, which was representative in the world, was selected as the research object, and the tests and simulations were carried out to complete the calibration of simulation parameters. In the first step, the ribs from the Boer goat carcass were properly treated to obtain the rib samples which were suitable for various tests. Then the outline size, density, Poisson’s ratio and shear modulus of the goat rib were obtained by instrument measurement, drainage test and uniaxial compression test. The basic simulation parameters of steel were obtained by consulting the relevant data. Next, the contact parameters such as static friction coefficient, rolling friction coefficient and collision recovery coefficient were obtained through collision tests, inclined plane friction tests and friction coefficient measurement tests. The bending failure test of the goat rib was carried out on the texture analyzer to obtain the peak failure force and cutting situation, which were used to be the target value of the simulation test. According to the actual test conditions, using Hertz-Mindlin with bonding model in EDEM simulation software, the discrete element model of goat rib is established and the bending failure simulation test was carried out. Since there was no research on bone bonding parameters, the path of steepest ascent was used to find the optimal parameter range which included the optimal value of bonding parameters. Based on the results of the path of steepest ascent, a central composite design and corresponding response surface analysis were used to create a quadratic polynomial model between the peak failure force and the four bonding parameters. The coefficient of determination by the quadratic polynomial model was 0.9011, which could indicate that the model was reliable. Under the condition that the model was significant and the lack of fit was not significant, the terms that did not significantly affect the results were removed, and the regression model was optimized to obtain a new quadratic polynomial regression model. After completing the optimization of quadratic regression model and the regression equation, the parameter combination of four significant influencing factors were obtained by solving the regression equation. The results illustrated that the normal stiffness per unit area was 7.07×1013 N/m3 , the shear stiffness per unit area was 6.22×1012 N/m3, the critical normal stress was 1.34×108 Pa, critical shear stress was 1.87×108 Pa. Finally, the discrete element bending failure simulation test of five goat ribs with different dimensions was carried out based on the calibrated optimal values of the discrete element parameters to verify the accuracy and reliability of calibration results. The two data of failure forces between the physical experiment and simulation with the optimal calibration parameters were very similar, which telling us that the average relative error was 4.19% and the max relative error was less than 6.49%. The results of contrast experiment showed that the calibration results and the discrete element model of goat rib were credible. The study in this paper can provide a theoretical basis for both mechanization of goat rib segmentation and the parameter optimization of segmentation tool.

       

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