基于分形统计强度理论的煤颗粒冲击破碎概率研究  

IMPACT CRUSHING PROBABILITY OF COAL PARTICLES BASED ON FRACTAL STATISTICAL STRENGTH THEORY

作　　者：刘瑜[1] 周甲伟[1] 杜长龙[2] 

机构地区：[1]河南理工大学机械与动力工程学院,焦作454000 [2]中国矿业大学机电工程学院,徐州221116

出　　处：《固体力学学报》2012年第6期631-636,共6页Chinese Journal of Solid Mechanics

基　　金：江苏省自然科学基金项目(BK2009098);河南理工大学博士基金项目(B2012-040)资助

摘　　要：基于分形统计强度理论对煤颗粒的冲击破碎概率进行研究.以Hertz接触假设为基础,得到煤颗粒冲击破碎概率与最大接触压应力之间的函数关系,并结合碰撞动力学理论,建立了冲击破碎概率的分形模型.对不同矿区工作面的煤颗粒进行冲击破碎试验,统计分析表明:分形模型可以对煤颗粒的冲击破碎概率进行很好的描述,冲击破碎概率与冲击速度在对数坐标中为线性关系.通过试验确定分形模型的分形维数和破碎常数,可以得到不同冲击速度下煤颗粒的冲击破碎概率以及煤颗粒全部破碎需要的冲击速度,为冲击破碎效果评价以及冲击速度的确定提供了理论指导.The impact crushing probability of coal particles was investigated based on fractal statistical strength theory. The function relation between the impact crushing probability of coal particles and the maximum contact pressure stress was obtained by Hertz contact hypothesis, and the fractal model of the impact crushing probability was established by the impact dynamics theory. Impact crushing experiments of coal particles in different mines were carried out to verify the theoretical model. The statistical analysis showed that the impact crushing probability and impact velocity were linear relation on the logarithmic co- ordinate,which indicated that the impact crushing probability of coal particles was well described by the fractal model. The impact crushing probability of coal particles under different impact velocities and the needed impact velocity crushing all coal particles can be both obtained when the fractal dimension and crushing constant of the fractal model were defined by experiments, which provides the theoretical direction for evaluation of the impact crushing effect and determination of the impact velocity.

关 键 词：统计强度理论 冲击破碎概率 煤颗粒 分形维数 

分 类 号：O347[理学—固体力学]