Discrete Element Model Building and Optimization of Tomato Stalks at Harvest

Qimin Gao, Lei Cheng, Renbing Wang, Mingjiang Chen, Wei-jun Zhao, Jingjing Fu, Zhenwei Wang
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Abstract

The mechanical properties of tomato stalk, relevant to the harvesting and crushing of tomato vines, significantly impact its harvesting quality and efficiency. Establishing a simulation model, which accurately mirrors these properties, is foundational for designing related mechanical components. The discrete element method models tomato stalk harvesting and is optimized through mechanical tests and simulations. A blend of Plackett–Burman, steepest ascent, and central composite design modeling identified three contact model parameters influencing the maximum stalk shear force. The optimal values of these three parameters were a normal stiffness of 1.04 × 1010 N m−3, tangential stiffness of 7.59 × 109 N m−3, and bond radius of 1.06 mm. The relative error in the simulated versus measured shear force was <1%, affirming the model’s accuracy in characterizing cutting properties. These findings lay the theoretical groundwork for numerical simulations of tomato-stalk-related equipment.
番茄收获时茎秆的离散元件模型构建与优化
番茄茎秆的机械特性与番茄藤的收获和压碎有关,对其收获质量和效率有重大影响。建立一个能准确反映这些特性的模拟模型是设计相关机械部件的基础。离散元件法对番茄茎秆的收割进行建模,并通过机械测试和模拟进行优化。通过混合使用 Plackett-Burman、陡坡上升和中心复合设计模型,确定了影响最大茎秆剪切力的三个接触模型参数。这三个参数的最佳值分别为:法向刚度 1.04 × 1010 N m-3、切向刚度 7.59 × 109 N m-3、结合半径 1.06 mm。模拟剪切力与测量剪切力的相对误差小于 1%,这证明了该模型在表征切削性能方面的准确性。这些发现为番茄茎相关设备的数值模拟奠定了理论基础。
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