棱锥形斗仓粉体静压力分布

Powder Static Pressure Distributing on Pyramidal Silo

参照Janssen公式依据的基本假设,对棱锥形斗仓粉体静压力分布进行详细讨论并建立解析公式。通过有限元接触分析进行数值研究。数值结果与解析结果对比说明解析公式存在误差,误差原因主要是由于仓体的特殊结构所形成的特殊接触状态没有在解析公式中体现。根据有限元结果,修正所建立的解析公式,最终给出棱锥形斗仓粉体对仓壁的法向静压力简化计算公式。公式表明仓板所受粉体静压力既和仓板材料、粉体堆积密度、内摩擦角等属性参数有关,也和仓板倾角与仓体高度等设计参数有关。编制函数加载程序,对修正公式表示的静压力进行加载,载荷图与修正公式曲线图一致,加载程序对类似函数加载问题具备良好的可移植性。公式对棱锥形斗仓粉体静压力计算提供了依据。

Based on the assumptions of Janssen formula, the powder static pressure distribution is discussed and the analytical formulas are established. The relevant numerical study is fulfilled through finite element contact analysis. Through comparing the finite element analysis results with the analytical results, it shows that the analytical formulas have error. The reason is mainly that the special contact state formed by the special silo structure is not incarnated in the analytical formulas. Based on the finite element analysis result, the analytical results are amended to give the final formulas of contact pressure on the pyramidal silo. The formulas show that the contact pressure correlates with the attribute parameters such as silo material, loose material bulk density and internal friction angle, as well as the design parameters such as silo wall obliquity and silo height. The final formulas are programmed to implement pressure load by using ANSYS parametric design language. The load distribution graphs are consistent with the scatter diagram, and the loading languages have good generality and portability. The formulas can simplify relevant calculation, and may be regarded as a supplement of Janssen formula.