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W pracy przedstawiono układ eksperymentalny pozwalający na wyznaczenie rozkładu pionowego naporu na płaskie dno modelowego zbiornika oraz średniego naporu normalnego i stycznego na ścianę. Pomiary rozkładu naporu przeprowadzono dla trzech sposobów napełniania zbiornika: centrycznego, obwodowego i rozproszonego. Z praktycznego punktu widzenia najkorzystniejszy rozkład naporu powstaje podczas napełniania obwodowego.
The packing density and spatial arrangement of individual grains influence the mechanical behaviour of granular material. The method of bin filling influences the spatial arrangement of solid particles and, as a consequence, the pressure distribution. This paper outline an effect of preferred orientation of normal directions in contact points of particles on radial distribution of vertical pressure on the bottom of a model bin.
Korzystając z założeń kinematycznych Timoshenki, przedstawiono zagadnienie obliczania stateczności anizotropowych powłok cylindrycznych przy uwzględnieniu geometrycznej nieliniowości. Powłoka jest zbudowana z warstwowego materiału kompozytowego o jednej płaszczyźnie, która pokrywa się z jej powierzchnią środkową. Analizę numeryczną otrzymanych równań przeprowadzono metodą ortogonalizacji dyskretnej. Zbadano wpływ kąta nachylenia włókien warstwowego kompozytu włóknistego na wartości krytyczne.
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The spatial arrangement of individual grains forming a bed of granular solids influences the mechanical behaviour of granular material. Several researchers reported reduction of the coordination number and an increase of the void fraction in the region near the wall of containers holding randomly packed beds of uniform spheres. The method of bin filling influences the pressure distribution on the wall as well as the flow pattern which develops at the onset of discharge. Anisotropic behaviour of grain medium was considered to be the reason for damage to silos built in compliance with current codes of practice. It was found that the filling method influences the magnitude of measured values of the stress ratio. The purpose of this study was to examine the influence of particle properties and bedding structure on transmission of stresses in the layer of seeds, A model bin 0.61 m in diameter and 0.62 m high was constructed. Its bottom was divided into five concentric rings. The apparatus allowed for the determination of vertical load on each of the floor rings, vertical wall load and horizontal load exerted by grain on the bin wall. Four methods of bin filling and two types of wall surface (rough and smooth) were tested. The seeds of five species of plants were used as bulk solids filling the bin. The filing method, and individual seed size and shape of the five test materials significantly influenced the radial distribution of vertical pressure on the silo bottom. From a practical point of view, the advantages of circumferential filling as compared to central filling are: lower pressure ratio, maximum of vertical pressure at the bottom centre and lower tangential stress in vertical direction. The characteristics of vertical pressure as the function of the radius was observed to be smooth for the ratio of bin radius to particle dimension higher than one hundred. The change in moisture content of wheat resulted in the change ofradial distribution of vertical pressure. The wall of the bin was loaded gravitationally and allowed to move down. The characteristics of shear stress as the function of the radius was found to be dependent on the seed size. The major part of shear stress change took place in the boundary layer along the wall, which thickness was less than ten seed equivalent diameters. The proposed method measures vertical normal pressure averaged over the cross sectional area and the horizontal normal pressure averaged over the perimeter. Simultaneously, it measures the coefficient of wall friction, thus the pressure ratio is determined in a manner consistent with the Janssen formula. The pressure ratio value was found affected by material type, filling method and load history. Analysis of radial variation of vertical pressure can be useful in the verification of assumptions concerning the location of regions of fully developed yield conditions inside the Janssen's differential slice which are frequently considered in the theoretical prediction of the stress ratio.
To describe mechanical behaviour of a granular material it is indispensable to have parameters such as the coefficient of friction on a bin wall, the angle of internal friction and the bulk density and the k-value in Janssen's equation. The values of these parameters depend on many known and unknown factors. In the case of plant granular solids indisputable is the role of moisture content of grain, vertical pressure and sliding velocity. The purpose of this study was to determine the influence of mechanical properties of wheat grain on wall and bottom load distribution in a model grain bin. A series of tests involving eight filling methods, eccentric discharge from five different locations of a bin orifice and three bin wall surfaces were conducted on a laboratory scale cylindrical bin 0.61 m in diameter and 2.44 m high. The wall and flat floor of the bin were supported independently on three load cells so that load distributions could be isolated. Static and dynamic wall and bottom loads were found to be influenced by the filling method. Shower filling produced lower static load of the smooth wall as compared to central filling and higher static load of corrugated and rough walls. The experiments showed a significant influence of grain orientation on load distribution. Variable angle of internal friction within the Janssen differential element can explain the non-uniform load distribution obtained. The horizontal bending moments exerted on the wall and floor of the bin during eccentric discharge were found to decrease with an increase in the bin wall friction coefficient and were influenced significantly by the orifice eccentricity ratio, with the maximum moment occurring at ER equal to 0.667. The horizontal pressure distribution around the circumference of the bin wall depends on the height from the floor. Near the floor of the bin the horizontal pressure was larger on the side of the bin opposite the discharge orifice, while for locations higher above the floor, the horizontal pressure was larger on the side nearest the discharge orifice. As the ratio of the grain height to the bin diameter decreased below approximately 1 a change in the direction of the resultant friction force on the bin wall from a normal downward direction to an upward direction was observed. The change in direction of the resultant tangent force originates from the combination of the downward friction force of flowing grain and the upward friction force of the grain contained within the dead zone of the bin. Moisture content of grain influences its compressibility, friction against the bin wall, height of the dead zone and, in consequence, the upward movement of grains in the dead zone of the flat bottom bin during discharge.
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