【摘要】：為了便于從理論上探究糧倉效應(yīng)產(chǎn)生的機(jī)理,處理筒倉中顆粒介質(zhì)的應(yīng)力分布等問題,將二維顆粒堆積簡化為格點(diǎn)系統(tǒng),并且以隨機(jī)堆積為物理背景提出了一個由吸收系數(shù)p及側(cè)向傳遞系數(shù)q決定的力傳遞模型.給出了矩陣形式的力傳遞方程,提出基于二階差分方程的方法同時求解傳遞系數(shù)矩陣的特征值和特征向量,從理論上導(dǎo)出了一種典型情況下容器底部壓力分布與頂部壓力分布的關(guān)系式.對有效質(zhì)量隨總質(zhì)量變化關(guān)系的理論分析表明,該模型可以給出與Janssen模型類似的結(jié)果.對無負(fù)載情況下的底部應(yīng)力分布進(jìn)行了理論計(jì)算,結(jié)果表明容器底部中央應(yīng)力最大,離中央越遠(yuǎn)應(yīng)力越小.運(yùn)用數(shù)值計(jì)算討論了p與q對容器底部壓力隨堆積高度變化曲線的影響.
[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.
【作者單位】： 貴州大學(xué)物理學(xué)院;貴州大學(xué)計(jì)算機(jī)科學(xué)與技術(shù)學(xué)院;
【基金】：貴州省科技合作計(jì)劃(批準(zhǔn)號:20157641) 貴州大學(xué)引進(jìn)人才科研基金(批準(zhǔn)號:201334)和貴州大學(xué)教育教學(xué)改革研究項(xiàng)目(批準(zhǔn)號:JGYB201517)資助的課題~~
【分類號】：O347.7

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