克氏原螯虾双层柔性离散元粘结模型参数标定与优化

    Calibration and optimization of the parameters for the double-layer flexible discrete element bonding model of Procambarus clarkii

    • 摘要: 针对克氏原螯虾头尾分离机械加工环节缺乏精准的离散元粘结仿真参数和实测参数,无法有效指导相关机械装备设计与优化的问题,该文以克氏原螯虾为研究对象,在Bonding V2模型基础上通过坐标填充方法实现规则致密的虾壳网格建模,采用体积填充方法实现虾肉建模模拟内部虾肉组织与体液的混合情况,用于单独标定虾壳和虾肉的粘结参数, 虾壳和虾肉模型组合成为整虾的双层柔性离散元粘结模型;并利用质构仪完成克氏原螯虾头尾切断和折断分离试验。以最大切断力为评价指标,开展单因素试验、二水平析因试验和最陡爬坡试验,利用帕累托图和方差分析确定粘结参数中显著性影响因素及其取值范围,通过响应面试验得到克氏原螯虾显著性因素的最优组合:虾壳单位面积法向刚度为2.19×1011 \mathrmN/\mathrmm^3 、虾壳临界法向强度为6.04×106 Pa、虾肉临界法向强度为7.77×107 Pa;基于已标定的仿真粘结参数,在EDEM中开展克氏原螯虾头尾切断和折断分离仿真试验,结果显示,试验得到的最大切断力和最大折断力分别为31.97和26.39 N,最大切断力、最大折断力的仿真值与实测值相对误差分别为0.22%和3.87%,并且仿真和实测作用力变化趋势基本相似,克氏原螯虾离散元仿真粘结参数标定与头尾分离试验具有可靠性。该研究结果可为克氏原螯虾头尾分离机械装备设计与优化提供基础理论参考。

       

      Abstract: Procambarus clarkia is one of the species of crayfish. It is often required for the accurate discrete element method (DEM) bonding parameters and empirical data in the head–tail separation of the Procambarus clarkii. The mechanical processing equipment can also be optimized during this time. Taking the Procambarus clarkii as the research subject, this study aims to calibrate and optimize the parameters in the double-layer flexible discrete element bonding model. The significant disparity was considered in the material hardness between the exoskeletal shell and internal muscle tissue. A dual-layer flexible DEM bonding model was developed after consideration. According to the Bonding V2 framework, a regular and densely packed shell mesh was generated using a coordinate Meta-Particle packing approach. The crayfish shell was obtained as the structured representation. In parallel, the internal muscle tissue was modeled using a volume-packing strategy in order to simulate the heterogeneous mixture of muscle fibers and interstitial fluids. The separate calibration of bonding parameters was obtained for the shell and muscle components, which were subsequently integrated into a composite whole-body crayfish model. The resulting dual-layer structure effectively captured the distinct mechanical features of the shell. A solid foundation was offered for the accurate simulation of the head–tail separation. Mechanical tests were conducted using a texture analyzer in order to obtain the empirical reference values. These values served as the benchmarks for the simulation validation and parameter optimization. A series of simulation experiments was conducted, including the single-factor tests, two-level factorial analysis tests, and the steepest ascent tests. The maximum shearing force was taken as the primary evaluation index. Pareto charts and analysis of variance (AVONA) were adopted to identify the significant factors among the bonding parameters and their effective ranges. As such, the response surface method (RSM) was applied to determine the optimal combination of significant factors for the crayfish shell and muscle tissue bonding. The optimal dataset of the bonding parameter was determined as follows: the normal stiffness per unit area of the crayfish shell was 2.19 × 1011 \mathrmN/\mathrmm^3 , the critical normal strength of the shell was 6.04 × 106 Pa, and the critical normal strength of the muscle tissue was 7.77 × 107 Pa. These parameters were then implemented in the EDEM simulation software. The virtual tests were carried out to replicate the head-tail cutting and breaking processes. The results show that the simulation closely matched the experimental measurements. These tests involved both shearing and breaking separation trials on the crayfish head-tail region. The maximum shearing force was recorded as 31.97 N, while the maximum breaking force was 26.39 N. The relative error for the maximum cutting force was only 0.22%, and for the maximum breaking force, it was 3.87%. Furthermore, the overall trend in the force variation was consistent with that in the physical tests. These findings demonstrate that the DEM bonding parameters were calibrated to be highly reliable for the mechanical separation behavior of the Procambarus clarkii. In conclusion, this finding can provide a robust performance to simulate the head-tail separation in red swamp crayfish using discrete element modeling. The findings can greatly contribute to the valuable theoretical foundation for the design and optimization of the mechanical equipment in aquatic product processing, particularly for the automation and efficiency improvements in crayfish disassembly systems.

       

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