二维颗粒堆积中压力问题的格点系统模型
发布时间：2019-05-20 11:33
【摘要】：为了便于从理论上探究粮仓效应产生的机理,处理筒仓中颗粒介质的应力分布等问题,将二维颗粒堆积简化为格点系统,并且以随机堆积为物理背景提出了一个由吸收系数p及侧向传递系数q决定的力传递模型.给出了矩阵形式的力传递方程,提出基于二阶差分方程的方法同时求解传递系数矩阵的特征值和特征向量,从理论上导出了一种典型情况下容器底部压力分布与顶部压力分布的关系式.对有效质量随总质量变化关系的理论分析表明,该模型可以给出与Janssen模型类似的结果.对无负载情况下的底部应力分布进行了理论计算,结果表明容器底部中央应力最大,离中央越远应力越小.运用数值计算讨论了p与q对容器底部压力随堆积高度变化曲线的影响.
[Abstract]:In order to explore the mechanism of granary effect in theory and deal with the stress distribution of particle medium in silo, the two-dimensional particle accumulation is simplified as a lattice system. A force transfer model determined by absorption coefficient p and lateral transfer coefficient Q is proposed based on random stacking. The force transfer equation in the form of matrix is given, and a method based on the second order difference equation is proposed to solve the eigenvalues and eigenvectors of the transfer coefficient matrix at the same time. A relationship between the pressure distribution at the bottom of the vessel and the pressure distribution at the top of the vessel is derived theoretically. The theoretical analysis of the relationship between the effective mass and the total mass shows that the model can give similar results to the Janssen model. The stress distribution at the bottom of the container is calculated theoretically without load. The results show that the central stress at the bottom of the container is the largest, and the farther away from the center, the smaller the stress is. The influence of p and Q on the curve of pressure at the bottom of the vessel with stacking height is discussed by numerical calculation.
【作者单位】： 贵州大学物理学院;贵州大学计算机科学与技术学院;
【基金】：贵州省科技合作计划(批准号:20157641) 贵州大学引进人才科研基金(批准号:201334)和贵州大学教育教学改革研究项目(批准号:JGYB201517)资助的课题~~
【分类号】：O347.7
本文编号：2481613
[Abstract]:In order to explore the mechanism of granary effect in theory and deal with the stress distribution of particle medium in silo, the two-dimensional particle accumulation is simplified as a lattice system. A force transfer model determined by absorption coefficient p and lateral transfer coefficient Q is proposed based on random stacking. The force transfer equation in the form of matrix is given, and a method based on the second order difference equation is proposed to solve the eigenvalues and eigenvectors of the transfer coefficient matrix at the same time. A relationship between the pressure distribution at the bottom of the vessel and the pressure distribution at the top of the vessel is derived theoretically. The theoretical analysis of the relationship between the effective mass and the total mass shows that the model can give similar results to the Janssen model. The stress distribution at the bottom of the container is calculated theoretically without load. The results show that the central stress at the bottom of the container is the largest, and the farther away from the center, the smaller the stress is. The influence of p and Q on the curve of pressure at the bottom of the vessel with stacking height is discussed by numerical calculation.
【作者单位】： 贵州大学物理学院;贵州大学计算机科学与技术学院;
【基金】：贵州省科技合作计划(批准号:20157641) 贵州大学引进人才科研基金(批准号:201334)和贵州大学教育教学改革研究项目(批准号:JGYB201517)资助的课题~~
【分类号】：O347.7
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