摘要
为了探讨冒矸破碎的机理及分布状态,从分形几何学的角度建立了冒矸破碎统计自相似分形模型,并通过随机破碎个数与自相似比的数学期望,给出了冒矸破碎分形自相似维数的计算公式;最后讨论了分形维数在冒矸破碎模型中的表征情况及取值范围。为冒矸破碎机理的研究奠定了坚实的理论基础。
In order to study mechanism and distribution state of waste rock fragmentation, a fractal model of self-similarity about waste rock fragmentation was set up in fractal geometry in this paper. The calculation formula of the dimension of self-similarity about waste rock fragmentation was obtained through expected value of random fragmentation number and self-similarity ration. At last, the characterization and the value range of fractals dimension in the fractal model of self-similarity about waste rock fragmentation was discussed. The results lay a solid theoretical foundation of further study on mechanism of waste rock fragmentation
出处
《太原理工大学学报》
CAS
北大核心
2008年第5期530-532,共3页
Journal of Taiyuan University of Technology
基金
国家自然科学基金资助项目(50704024)
山西省青年科技研究基金资助项目(2007021024)
太原市技术创新计划基金资助项目(07010746
081051)
关键词
分形几何学
自相似维数
冒矸破碎
fractal geometry
the dimension of self-similarity
waste rock fragmentation
