Space-filling bearings in three dimensions

被引：49

作者：

Baram, RM

Herrmann, HJ

Rivier, N

机构：

[1] Univ Stuttgart, Inst Computat Phys, D-70569 Stuttgart, Germany

[2] Univ Strasbourg 1, LDFC, F-67084 Strasbourg, France

来源：

PHYSICAL REVIEW LETTERS | 2004年 / 92卷 / 04期

关键词：

D O I：

10.1103/PhysRevLett.92.044301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present the first space-filling bearing in three dimensions. It is shown that a packing which contains only loops of an even number of spheres can be constructed in a self-similar way and that it can act as a three-dimensional bearing in which spheres can rotate without slip and with negligible torsion friction.

引用

页数：4

共 13 条

[1] Granular packings and fault zones [J].

Åström, JA ;

Herrmann, HJ ;

Timonen, J .

PHYSICAL REVIEW LETTERS, 2000, 84 (04) :638-641

[2]

BARAM RM, IN PRESS, P32111

[3] THE FRACTAL DIMENSION OF THE APOLLONIAN SPHERE PACKING [J].

Borkovec, M. ;

De Paris, W. ;

Peikert, R. .

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 1994, 2 (04) :521-526

[4] OSCULATORY PACKING OF A 3 DIMENSIONAL SPHERE [J].

BOYD, DW .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1973, 25 (02) :303-322

[5]

GRISARD A, 1991, 3 ANN PMMH ESPCI PAR, P32111

[6] SPACE-FILLING BEARINGS [J].

HERRMANN, HJ ;

MANTICA, G ;

BESSIS, D .

PHYSICAL REVIEW LETTERS, 1990, 65 (26) :3223-3226

[7]

LOMNITZ C, 1982, B SEISMOL SOC AM, V72, P1441

[8]

MANDELBROT BB, 1982, FRACTAL GEOMETRY NAT, P32111

[9] SEISMIC GAPS AND PLATE-TECTONICS - SEISMIC POTENTIAL FOR MAJOR BOUNDARIES [J].

MCCANN, WR ;

NISHENKO, SP ;

SYKES, LR ;

KRAUSE, J .

PURE AND APPLIED GEOPHYSICS, 1979, 117 (06) :1082-1147

[10] Generalization of space-filling bearings to arbitrary loop size [J].

Oron, G ;

Herrmann, HJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (07) :1417-1434

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