【作者】 王谦源； 张清；

【Author】 Wang Qianyuan (Qingdao Institute of Architecture and Engineering,Qingdao 266033) Zhang Qing (The Northern Jiaotong University,Beijng 100044)

【机构】 青岛建工学院； 北方交通大学；

【摘要】 本文以分形理论为基础,讨论了有限尺度破碎分形的一些实际问题及其与筛下、筛上幂分布的一致条件。证明,粒级的尺度范围足够宽,且D≠3时,若D<3,分形与筛下分布一致;D>3时,分形与筛上分布一致。保持足够宽的尺度范围不变,分形维数D或筛下、筛上粒度指数可作为评估粒级的指标。更多还原

【Abstract】 Based on the fractal theory,this paper gives a discussion about some practical problems in fragments fractal and its required conditions in line with the power distrbution of the percentages retained or passing,And it gives a demonstration of the following points.When the scale scope of fragments is wide enough and D≠3,the fractal distribution is in line with the distribution of percentages passing if D<3,and the fractal distribution is in line with that of percentages retained if D>3;when the scale scope remains constant,the fractal dimension,or either the size index retained or the index passing can be used as the index for grading evaluation.更多还原