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基于离散元法的油橄榄果实建模及杨氏模量参数灵敏度的分析

Modeling of olive fruit based on discrete element method and analysis of the sensitivity of Young's modulus parameters

  • 摘要: 为设计和优化油橄榄果实采收设备,应用离散元法对油橄榄果实进行准确地建模和分析,需要对其几何模型进行构建,对其接触参数进行合理地选取,并对其杨氏模量参数灵敏度进行必要地分析。该研究依据离散元法多球建模理论,对皮瓜尔、佛奥、莱星、鄂植8号4个品种的油橄榄果实均建立了5、9、13球颗粒模型,并利用EDEM软件中的自动填充功能依次建立13球、基于0光滑度和2光滑度的多球模型,每个品种均建立6个离散元多球模型。通过对比手动填充和自动填充模型的体积比发现,其体积均接近实际种子颗粒外形,且手动填充模型的填充球数较少。同时,对油橄榄果实的接触参数(弹性模量、静摩擦系数、滚动摩擦系数以及碰撞恢复系数等)进行了测量。进一步地,为验证模型精度,采用旋转毂仿真试验与实际试验对比,结果表明组合球数目越少,其动态休止角就越趋近于实际试验的测量值,综合考虑计算时间得出皮瓜尔、佛奥、莱星、鄂植8号的最优组合球数目均为手动填充5球。通过对料仓堆积试验、颗粒-壁面碰撞试验过程的仿真分析,研究了杨氏模量数值的改变对多球组合单个颗粒及颗粒群体运动的影响。结果表明,随着杨氏模量数值的增大,颗粒-颗粒的叠合量降低,促使堆积高度增加,并导致仿真计算时间增加。此外,随着杨氏模量数值的增大,颗粒-颗粒或颗粒-边界接触碰撞时叠合量随之减少,进而造成接触点数量的减少。该研究更好地理解了离散元仿真结果与杨氏模量之间的关系,从多个维度评价了所建立模型的适用性。所建立的离散元模型及接触参数对油橄榄果实采收设备的设计及优化具有一定的工程应用价值。

     

    Abstract: Accurate simulation of the olive fruits can be often required to optimize the harvesting equipment using the Discrete Element Method (DEM). In this study, the sensitivity analysis of Young’s modulus was performed on the olive fruits using DEM. The geometric model of the olive fruits was constructed to appropriately select the contact parameters. Four varieties of olive fruits were taken as the Picual, Frantoi, Leecio, and E'zhi No.8. Then, 5-, 9- and 13-sphere particle models were established for the olive varieties using multi-sphere modeling. Meanwhile, the rest models were constructed using the automatic filling function in EDEM software. Multi-sphere models were obtained with 13 spheres, as well as the models with the 0 and 2 levels of smoothness. Six DEM multi-sphere models in total were developed per variety. A comparison was then made on the volume ratios between manual-filling and auto-filling models. The volumes of the model types closely resembled the actual shape of the seed particle. Additionally, the manually filled models used fewer spheres, indicating the more efficient model with less complexity. Various contact parameters of the olive fruits were also measured, such as Young's modulus, the static friction coefficient, the rolling friction coefficient, and the restitution coefficient. The rotating hub test was performed to verify the accuracy of the models. A comparison was then carried out on the actual experiment and simulation. The results indicated that the dynamic angle of the repose was increasingly closer to the measured values after experiments, as the number of combined spheres decreased. The optimal number of five spheres was determined for the manually filled models of each variety, in terms of the CPU computation time. Moreover, the stacking test was also conducted on the particle-wall collision. A systematic investigation was then made to explore the influence of Young’s modulus on the movement of individual particles and particle assembly. It was found that the stiffness represented by the DEM model increased significantly, as Young’s modulus value increased. The overlap between particle particles was reduced to increase the stack height. As such, the higher Young’s modulus corresponded to the smaller time step. Consequently, the overall simulation also increased the CPU computation time. Young’s modulus was found to significantly impact the collision behavior of individual particles, in terms of the collision time and overlap between particles. As Young’s modulus increased, the overlap between particle-particle or particle-boundary collisions decreased, which in turn resulted in a reduction in the number of contact points. This finding also highlighted the relationship between the material properties of the olive fruits and their interaction in the simulated environment. Furthermore, the relationship between DEM simulation and Young’s modulus can also provide a multi-dimensional evaluation of the suitability of the models. The contact parameters and DEM models are of significant practical value for the optimization of olive harvesting equipment. The accuracy of these models can be improved under various values of Young’s modulus. These insights can also be applied to the interaction of the granular materials in engineering applications.

     

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