摘要
深入研究高压对辊粉碎脆性材料的过程及结果,提出微分剪切理论的概念。运用数学原理证明微分剪切作用力的客观存在,且这种剪切的发生与物料通过高压对辊任意瞬间压缩速度的微分直接相关,从而可阐释块状脆性材料通过高压对辊时粉状料饼的形成机理,揭示高压对辊磨机对脆性材料产生连续密集剪切粉碎的内在规律。通过建立物料料层厚度与辊轮转角之间的函数关系,写出一般条件下物料料层微分单元受力的平衡方程,由试验得到与物料料层厚度、密实度有关的非线性函数E(θ)和G(θ),在有效辊压范围内的积分,得到辊轮对物料料层总作用力计算式和物料受辊压时所消耗功率的计算式。应用计算机仿真和样机的实际测试,验证微分剪切理论计算的正确性,具有指导试验和产品设计的实际意义。微分剪切理论对金属材料轧制和其他辊压类作业方式的力学研究均有一定的参考价值。
A new concept of the differential shear theory is presented, based on the study of process and result of the high pressure double roller cracker for brittleness material crushing. The existing of the differential shear force is proved through mathematical method, and the occurrence of shear force is proved to be related to the differential of compression speed of material passing the roller cracker at any moment. Further, it was explained what lumpy brittleness material passing the double roller cracker is crashed into caky powder, and the inherent law is revealed, of which high pressure double rolls cracker shears brittleness material continuously and densely. The nonlinear functions E（θ） and G（θ） related to the thickness, density and compactness of materials are obtained by experiment. The calculating formulas of the total force of running rollers acted on the layers of material and the power consumption are calculated by integration in the valid scope. The computer simulation of the mathematic model and experimental test of the physical prototype are applied to verify the calculation with the differential shear theory. The differential shear theory is practical and informative for product experiments and design, and with reference value for the mechanical study of roUing metal material and similar rolling, process.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2008年第3期241-248,共8页
Journal of Mechanical Engineering
关键词
高压
对辊
粉碎
微分剪切
数学摸型
脆性材料
High pressure Double roller Crush Differential shear Mathematical model Brittleness material
