The Packing Characteristics of Equal Spheres in Vertically Oscillating Cylinders.
نویسندگان
چکیده
منابع مشابه
Densest Packing of Equal Spheres in Hyperbolic Space
We propose a method to analyze the density of packings of spheres of fixed radius in the hyperbolic space of any dimension m ≥ 2, and prove that for all but countably many radii, optimally dense packings must have low symmetry.
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The article reviews a mathematical model of the optimization problem of packing different spheres into a container which can be a cuboid, a sphere, a right circular cylinder, an annular cylinder and a spherical layer. The assumption that sphere radii are variable is exploited. Based on the hypothesis a new way to derive starting point belonging to the feasible region of the problem is offered. ...
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We examine packing of n congruent spheres in a cube when n is close but less than the number of spheres in a regular cubic close-packed (ccp) arrangement of dp3/2e spheres. For this family of packings, the previous best-known arrangements were usually derived from a ccp by omission of a certain number of spheres without changing the initial structure. In this paper, we show that better arrangem...
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We study the optimal packing of hard spheres in an infinitely long cylinder, using simulated annealing, and compare our results with the analogous problem of packing disks on the unrolled surface of a cylinder. The densest structures are described and tabulated in detail up to D/d=2.873 (ratio of cylinder and sphere diameters). This extends previous computations into the range of structures whi...
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In [BL] in relation to the unsolved Bang’s plank problem (1951) we obtained a lower bound for the sum of relevant measures of cylinders covering a given d-dimensional convex body. In this paper we provide the packing counterpart of these estimates. We also extend bounds to the case of r-fold covering and packing and show a packing analog of Falconer’s results ([Fa]).
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ژورنال
عنوان ژورنال: Journal of the Society of Powder Technology, Japan
سال: 1996
ISSN: 0386-6157,1883-7239
DOI: 10.4164/sptj.33.788