跳汰过程中25和13mm颗粒运动的数学模型
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摘要
在模型跳汰实验系统上,利用高速摄像机和动态分析软件,以100帧/s的速度拍摄了跳汰过程的颗粒运动图像,研究了两个密度、两个粒度颗粒在60余组实验条件下的运动过程,得到多组颗粒运动曲线,其中位移曲线的特性符合阻尼强迫振动规律;建立了颗粒运动的振动微分方程,并给出了解的表达式.颗粒运动的位移、速度、加速度、受力、动能等参数与跳汰机风压有直接的线性关系,与跳汰周期、床层松散度、颗粒的质量、密度、粒度等参数有明确的非线性关系.
With the help of a high-speed video and dynamic analysis soft,the motion images of particles during the jigging in an experimental model system were shot at the speed of 100 frames per second.The motions of the particles with two size fractions and two density fractions under more than 60groups experimental conditions were investigated.The particles motion curves were obtained.The position curve of particles is similar to that of typical damped vibration.The motion differential equation of particles was educed and the solution equations were gained.In the equations the motion parameters,including velocity,acceleration and force,are in a direct proportion to the air pressure,and have a definite non-linear relationship with jigging cycle,thickness,mobility of jig bed,mass and size of the particles.
With the help of a high-speed video and dynamic analysis soft,the motion images of particles during the jigging in an experimental model system were shot at the speed of 100 frames per second.The motions of the particles with two size fractions and two density fractions under more than 60groups experimental conditions were investigated.The particles motion curves were obtained.The position curve of particles is similar to that of typical damped vibration.The motion differential equation of particles was educed and the solution equations were gained.In the equations the motion parameters,including velocity,acceleration and force,are in a direct proportion to the air pressure,and have a definite non-linear relationship with jigging cycle,thickness,mobility of jig bed,mass and size of the particles.
引文
[1]SAMERLIN H A.跳汰的理论及其应用[M].张荣增,译.北京:煤炭工业出版社,1980:20-80.
[2]KAWASHIMA S,JINNOUCHI Y,HAMADA L.On the dynamics of the air-pulsated jig washers[J].Transactions of the Japan Society of Mechanical Engineers,1994,40(3):1309-1317.
[3]MISHRA B K,MEHROTRA S P.A jig model based on the discrete element method and its experimental validation[J].International Journal of Mineral Processing,2001,63(4):177-189.
[4]VENKOBA R B.Extension of particle stratification model to incorporate particle size effects[J].International Journal of Mineral Processing,2007,85(8):50-58.
[5]XIA Y,PENG F F,WOLFE E.CFD simulation of fine coal segregation and stratification in jigs[J].International Journal of Mineral Processing,2007,82(2):164-176.
[6]张荣曾,付晓恒,韦鲁滨,等.跳汰机床层松散与分层的流体动力学研究[J].煤炭学报,2003,28(4):193-198.ZHANG Rong-zeng,FU Xiao-heng,WEI Lu-bin,et al.Fluid kinetics study on jig washer bed dilation and stratification[J].Journal of China Coal Society,2003,28(4):193-198.
[7]李贤国,张荣曾.重力选矿原理[M].北京:煤炭工业出版社,1992:93-96.
[8]霍森.跳汰分选机理与在线检测控制的研究[D].北京:中国矿业大学化学与环境工程学院,1999.
[9]符东旭.跳汰分层状态检测与控制研究[D].太原:太原理工大学矿业工程学院,2000.
[10]匡亚莉,欧泽深.跳汰过程中水流运动的数学模拟[J].中国矿业大学学报,2004,33(6):254-258.KUANG Ya-li,OU Ze-sheng.Simulation of mathematics model of water flowing in jigging process[J].Journal of China University of Mining&Technology,2004,33(6):254-258.
[11]大崎顺彦.振动理论[M].谢礼立,译.北京:地震出版社,1990:4-39.
[12]KUANG Y L,OU Z S.Properties of a Jigging bed analyzed with a high speed analyzer:part2[J].Coal Preparation,2004,24(5/6):297-309.
[2]KAWASHIMA S,JINNOUCHI Y,HAMADA L.On the dynamics of the air-pulsated jig washers[J].Transactions of the Japan Society of Mechanical Engineers,1994,40(3):1309-1317.
[3]MISHRA B K,MEHROTRA S P.A jig model based on the discrete element method and its experimental validation[J].International Journal of Mineral Processing,2001,63(4):177-189.
[4]VENKOBA R B.Extension of particle stratification model to incorporate particle size effects[J].International Journal of Mineral Processing,2007,85(8):50-58.
[5]XIA Y,PENG F F,WOLFE E.CFD simulation of fine coal segregation and stratification in jigs[J].International Journal of Mineral Processing,2007,82(2):164-176.
[6]张荣曾,付晓恒,韦鲁滨,等.跳汰机床层松散与分层的流体动力学研究[J].煤炭学报,2003,28(4):193-198.ZHANG Rong-zeng,FU Xiao-heng,WEI Lu-bin,et al.Fluid kinetics study on jig washer bed dilation and stratification[J].Journal of China Coal Society,2003,28(4):193-198.
[7]李贤国,张荣曾.重力选矿原理[M].北京:煤炭工业出版社,1992:93-96.
[8]霍森.跳汰分选机理与在线检测控制的研究[D].北京:中国矿业大学化学与环境工程学院,1999.
[9]符东旭.跳汰分层状态检测与控制研究[D].太原:太原理工大学矿业工程学院,2000.
[10]匡亚莉,欧泽深.跳汰过程中水流运动的数学模拟[J].中国矿业大学学报,2004,33(6):254-258.KUANG Ya-li,OU Ze-sheng.Simulation of mathematics model of water flowing in jigging process[J].Journal of China University of Mining&Technology,2004,33(6):254-258.
[11]大崎顺彦.振动理论[M].谢礼立,译.北京:地震出版社,1990:4-39.
[12]KUANG Y L,OU Z S.Properties of a Jigging bed analyzed with a high speed analyzer:part2[J].Coal Preparation,2004,24(5/6):297-309.
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