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基于离散元模拟筒仓贮料卸料成拱过程及筒仓壁压力分布

Development of arching and silo wall pressure distribution in storage and discharging state based on discrete element analysis

  • 摘要: 筒仓卸料时贮料作用在仓壁上的卸料压力出现骤然增大以及震荡分布的现象,该文从贮料的散体颗粒性入手,采用离散元法和模型试验法研究贮料在静止储粮状态和卸料过程中的力学行为,从细观颗粒层次探求卸料时贮料内部土拱效应与宏观仓壁卸料压力增大及产生震荡的本质联系。模型为平底立筒仓,高1.0 m,宽0.5 m,卸料口直径0.1 m,数值模型填充20 400个球形单元,模型试验贮料为大豆。首先,通过分析卸料中仓底压力分布的周期性变化规律,证实了卸料口附近拱效应的存在。然后选取结拱起始、结拱完成及拱塌落3个时间点仓内贮料的力链网络、竖向应力、横向应力、主应力方向和速度场分布,分析了卸料时的拱效应及其对仓壁卸料压力分布的影响。研究发现,卸料中,筒仓底部的卸料口附近有拱形成,其跨度为卸料口直径的4.0倍,高度为卸料口直径的2.5倍。随着物料的流出,卸料口附近的颗粒物质遵循"拱形成-拱塌落"的动态规律,并据此提出了筒仓卸料的动态成拱机制。深高比0.35处,动态压力修正系数最大为2.70。在深高比0.85处,结拱完成时的仓壁压力达到峰值3.57 kPa。分析结果表明,拱的形成是仓壁压力增大的根本原因,动态成拱机制则是宏观仓壁压力产生震荡的根本原因,仓壁压力峰值作用点和最大动态压力修正系数作用点并不一致。动态成拱机制以及由此引发的仓壁卸料压力分布规律,可为构建机理研究的筒仓结构安全设计提供参考。

     

    Abstract: It has been widely recognized that the most dangerous condition is the phenomenon that the emptying pressure on the wall of silos vibrates and increases obviously during discharging. However, the cause of this phenomenon is currently largely unknown. Most of the available papers and reports are based on continuum mechanics, that is, the stored material is regarded as a continuous entity on macroscopic level, and its particulate property is ignored. In fact, it is the microcosmic mechanical behavior of individual particles and the interaction between the particles and the silo walls that determine the emptying pressure distribution on the silo walls. Therefore, in this paper, the characteristics of emptying pressure were studied from the point of view of granular materials and microcosmic particle mechanics. A new method combining particle mechanics with discrete element method (DEM) was introduced to explore how the mechanical behavior of particles effects the distribution of emptying pressure. Firstly, the behavior of granular material in stored state was studied by DEM method. The silo with flat bottom is 0.5 m in diameter, 1.0 m in height and 0.1 m in outlet diameter, which is filled with 20 400 spherical particles. The distribution of the static wall pressure in stored state was verified by the test results and the Jassen Formula which is widely used in engineering. Secondly, the pressure distribution on the silo bottom wall was studied by simulating the discharge process, and the statistical analysis of multiply simulation results was performed, the arching effect near the outlet were proved according to the periodic pressure profile. Thirdly, in order to study the arching effect, three time points, i.e. start of arching, completion of arching and arch collapse, were selected on the periodic pressure profile. For each time point, the behaviors, such as force chain network, vertical stress distribution, and lateral stress distribution, the direction of principal stress, velocity field of granular material and so on, were systematically studied. On this basis, the features and evolution mechanism of the arching effect were investigated from the viewpoint of particle mechanics. Finally, the static pressure under the static stored state and the emptying pressure in discharging process on the silo wall were analyzed and verified by a model test, Standards (GB50322-2011) and published results. The results indicated that the arch which is 4.0 times wide of outlet diameter and 2.5 times high of outlet diameter was produced during the discharge process. Due to the formation of arching, the vertical stress above arching was transformed into the horizontal stress in a certain range above the arch foot, thus the horizontal stress was transferred to both sides of the silo wall and to the pressure of the silo wall was increased. When the arching collapsed, the vertical and horizontal above arching decreased, then the horizontal stress transferred to both sides of the silo wall also decreased, which resulted in to the decrease of wall pressure. The coefficient of overpressure reached a peak value of 2.70 at depth ratio of 0.35, while the peak wall pressure was 3.57 kPa at depth ratio of 0.85. It was found that the arching effect near the outlet behaved dynamically, following the rule of “start of arching-completion of arching-collapse of arch”, thus the dynamic arching effect is put forward. In addition, the important connection between the dynamic arching effect and the resulting emptying pressure distribution was identified. That is, the increased emptying pressure on silo wall is caused by the formation of arch, while the vibration of emptying pressure on wall of silo is induced by the dynamic arching effect. The research provides a new method of exploring the relationship between the arching effect and the emptying pressure distribution on wall of silos from the micro and macro aspects. The findings obtained in this paper can provide references for revealing the load-transfer mechanism from particles to silo wall.

     

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