振动磨机能量损耗研究
|
摘要
粉磨作业广泛的应用在矿冶、煤炭、化工、二次资源回收等各种原料的加工和利用中。然而,此过程能耗较高,给经济带来巨大损失。近年来,因振动磨机具有节能降耗的优点,受到了普遍关注。在使用振动磨机粉磨物料时,磨机工作参数的设置,决定了磨介群的运动轨迹、工作状态和作用方式,影响磨机的粉磨效率。同时,被磨物料的破磨特性决定了物料在粉磨过程中吸收能量的大小,影响磨机的能量利用。因此,深入分析矿岩的破磨特性,结合被磨物料的特性,合理设置磨机工作参数,使物料在破磨过程中获得更多能量,是振动磨机节能降耗的关键之一。
本文通过岩块冲击碰撞试验获取不同力学性质的矿岩在冲击过程中的振动特征,在试验基础上分析矿岩在干燥状态、缓冲状态和浸湿状态下相互碰撞时振动能转换规律,得到不同力学性质的矿岩在冲击碰撞过程中的冲击特性,在此基础上,进一步分析不同破磨特性的物料与振动磨机能量损耗的关系,为振动磨机参数优化,降低能量损耗奠定基础。
试验研究表明,当振动磨机粉磨莫氏硬度<2.5的物料时,可使用振幅为8～12mm,频率为500r/min的“高幅低频”的作用方式；当物料莫氏硬度>5.5时,可使用振幅为3～5mm,频率为800r/min的“低幅高频”作用方式；对于莫氏硬度在2.5～5.5之间的物料,振幅为5～8mm,频率为600r/min左右的“中幅中频”的作用方式能够更好的提高粉磨效率：在物料硬度和强度较小时,要及时清理磨机内积存的细粒物料；当物料含水量大时,要延长粉磨时间,增加粉磨强度,或者通过烘干等预处理,减少入磨物料的含水量。
通过本文的分析,得出使物料获得较好粉磨效果的参数设置,有利于粉磨作业根据物料特性和粉磨要求,合理确定振动磨机的动力参数,进一步提高振动磨机的能量利用率。
Grinding operation is widely used in many machining and utilize processes about raw materials, such as mining metallurgy, coal, chemical, and other secondary resources'recovery. But in this process, the energy consumption is very high which caused huge loss to the economy. Recently, Vibration mill has been attention for the advantages of saving energy. When the Vibration mill is working, the trajectories of grinding medium group, work state, and mode of action are determined by the setting of the mill operating parameters, they are all affect the mill efficiency. Moreover, the amount of energy absorbed to material in grinding operation process and the usage of the energy of Vibration mill are both determined by the Grinding character of materiel. Therefore, combining the characteristics of the materials to analyze the broken characteristics of the ore deeply and set a reasonable operating parameters can get more energy in the process of grinding, which is one of the keys to the Vibration mill energy saving.
In this paper, different vibration characteristics are got in the concussion process of different mechanical properties of ore and rock. Based on the test, the vibration can be analyzed in natural state, buffer state and wet state respectively. Different mechanical properties and the different requirements are also got in the test. Based on all of that, making further analysis on the relationship between the characteristics of the materials and the loss of the energy can make good effects on the choice of the optimization parameters for the vibration mill reduce and reducing the energy loss.
The result of the research indicates:when the Mohs'scale of hardness of the material is less than 2.5, vibrating mill can work in high amplitude and low frequency way. In which case, the amplitude is 8-12mm, frequency is 500 r/min; When the Mohs'scale of hardness of the material is more than5.5, higher frequency and lower amplitude should be used. In this case, amplitude is 3-5mm, frequency is 800 r/min; In addition, when the Mohs'scale of hardness of the material is between 2.5 and 5.5, intermediate amplitude and frequency are comparatively right, in this way, the amplitude is 5-8mm, the frequency is 600 r/min; For material of lower rigidity and intensity, the material storing up within machine is need to clear up in time; To wet material, milling time should be prolonged to increase milling intensity, or be reduced the water content of the material by pretreatment.
By the analysis, the parameter setting is educed, which can make the materials obtain better grinding results. Based on the characteristic of material and the demand of grinding, seting the reasonable dynamic parameter can improve energy utilization ratio of the Vibration mill.
本文通过岩块冲击碰撞试验获取不同力学性质的矿岩在冲击过程中的振动特征,在试验基础上分析矿岩在干燥状态、缓冲状态和浸湿状态下相互碰撞时振动能转换规律,得到不同力学性质的矿岩在冲击碰撞过程中的冲击特性,在此基础上,进一步分析不同破磨特性的物料与振动磨机能量损耗的关系,为振动磨机参数优化,降低能量损耗奠定基础。
试验研究表明,当振动磨机粉磨莫氏硬度<2.5的物料时,可使用振幅为8～12mm,频率为500r/min的“高幅低频”的作用方式；当物料莫氏硬度>5.5时,可使用振幅为3～5mm,频率为800r/min的“低幅高频”作用方式；对于莫氏硬度在2.5～5.5之间的物料,振幅为5～8mm,频率为600r/min左右的“中幅中频”的作用方式能够更好的提高粉磨效率：在物料硬度和强度较小时,要及时清理磨机内积存的细粒物料；当物料含水量大时,要延长粉磨时间,增加粉磨强度,或者通过烘干等预处理,减少入磨物料的含水量。
通过本文的分析,得出使物料获得较好粉磨效果的参数设置,有利于粉磨作业根据物料特性和粉磨要求,合理确定振动磨机的动力参数,进一步提高振动磨机的能量利用率。
Grinding operation is widely used in many machining and utilize processes about raw materials, such as mining metallurgy, coal, chemical, and other secondary resources'recovery. But in this process, the energy consumption is very high which caused huge loss to the economy. Recently, Vibration mill has been attention for the advantages of saving energy. When the Vibration mill is working, the trajectories of grinding medium group, work state, and mode of action are determined by the setting of the mill operating parameters, they are all affect the mill efficiency. Moreover, the amount of energy absorbed to material in grinding operation process and the usage of the energy of Vibration mill are both determined by the Grinding character of materiel. Therefore, combining the characteristics of the materials to analyze the broken characteristics of the ore deeply and set a reasonable operating parameters can get more energy in the process of grinding, which is one of the keys to the Vibration mill energy saving.
In this paper, different vibration characteristics are got in the concussion process of different mechanical properties of ore and rock. Based on the test, the vibration can be analyzed in natural state, buffer state and wet state respectively. Different mechanical properties and the different requirements are also got in the test. Based on all of that, making further analysis on the relationship between the characteristics of the materials and the loss of the energy can make good effects on the choice of the optimization parameters for the vibration mill reduce and reducing the energy loss.
The result of the research indicates:when the Mohs'scale of hardness of the material is less than 2.5, vibrating mill can work in high amplitude and low frequency way. In which case, the amplitude is 8-12mm, frequency is 500 r/min; When the Mohs'scale of hardness of the material is more than5.5, higher frequency and lower amplitude should be used. In this case, amplitude is 3-5mm, frequency is 800 r/min; In addition, when the Mohs'scale of hardness of the material is between 2.5 and 5.5, intermediate amplitude and frequency are comparatively right, in this way, the amplitude is 5-8mm, the frequency is 600 r/min; For material of lower rigidity and intensity, the material storing up within machine is need to clear up in time; To wet material, milling time should be prolonged to increase milling intensity, or be reduced the water content of the material by pretreatment.
By the analysis, the parameter setting is educed, which can make the materials obtain better grinding results. Based on the characteristic of material and the demand of grinding, seting the reasonable dynamic parameter can improve energy utilization ratio of the Vibration mill.
引文
[1]郑水林.超细粉碎技术与设备的新进展及发展趋势[J].中国粉体技术,2000,10(6)：1-10
[2]张更超,应富强.超细粉碎技术现状及发展趋势[J].中国粉体技术,2003,4(9)：44-47
[3]张世礼.振动粉碎理论及设备[M].北京：冶金工业出版社,2000
[4]卢寿慈.粉体加工技术[M].北京：中国轻工业出版社,1999
[5]张国旺.超细粉碎设备及其应用[M].北京：冶金工业出版社,2005
[6]罗帆,聂鸿丽,孔祥忠.振动粉磨和振动破碎技术的发展回顾[J].中国水泥,2004,5(10)：41-45
[7]彭猛,唐果宁.振动磨机粉磨动力学研究进展[J].湘潭师范学院学报,2008,6(30)：107-108
[8]束美玲,颜景平等.机械法制备超细粉机理和能耗的理论研究[J].东南大学学报,1994,7(24)：14
[9]阎民,郭天德等.振动磨理论研究进展[J].[硕士学位论文].西安：西安理工大学学报,1998
[10]Gock E, Jeng J. Sizing of Tube Vibration Mill with the Aid of Simulation Model Based on Machine Dynamics [J]. AUFBEREITUNGS-TECHNIK,1992,33(7):32-35
[11]唐果宁,彭猛.振动磨机离散磨介群动力学模型研究[J].中国机械工程,2008,6(19)：1347-1348
[12]江山,方湄等.颗粒粉碎能耗与粒度的关系[J].北京科技大学学报,1996,2(18)：112-115
[13]刘建远.福州21世纪选矿会议论文：辊压机与粉碎工艺的改进[J].国外金属矿选矿,1996,(7)：29-32
[14]Dr.-ing.J.Lwe and Dr.-ing.L.Reifert. Design of Vibrating Mills[J]. Aufbereitungs-technik,1994(11): 582-592
[15]尹忠俊,吴楠.振动磨机力能参数研究[J].冶金设备,2006,4(9)：12-18
[16]彭猛,唐果宁.振动磨机碎磨动力学模型比较研究[J].湖南科技大学学报,2009,3(24)：32-36
[17]郭天德.振动磨的发展及降低能耗途径[J].中国非金属矿工业导刊,1999,5(11)：79-81
[18]刘树英,卜春光,闻邦椿.关于振动磨整机功率消耗的研究[J].黄金,1999,11(20)：27-29
[19]彭猛.振动磨机离散磨介动力学碎磨机理研究[D].[硕士学位论文].湖南：湖南科技大学,2009
[20]孙颖宏.立式振动磨机数字化设计[D].[硕士学位论文].西安：西安建筑科技大学,2008
[21]张世礼.特大型振动磨及其应用[M].北京：冶金出版社,2007
[22]徐小荷.岩石破碎学[M].北京：煤炭工艺出版社,1984
[23]肖洪天,周维垣.脆性岩石变形与破坏的细观力学模型研究[J].岩石力学与工程学报,2001,3(2)：151-155
[24]汤安民,朱文艺等.韧性材料的几种断裂形式及判断讨论[J].机械强度,2002,4(24)：566-570
[25]李源明.岩石破碎学[M].北京：地质出版社,1990
[26]FMLea, RWNurse. The specific surface offine powders[J]. Soc.Chem.Ind,1979(58):277-278
[27]王癤,王友宏,罗帆.硬质物料的振动冲击细碎[J].矿石机械,2003,4(31)：20-21
[28]邓涛,杨林德,韩文峰.加载方式对大理岩碎块分布影响的试验研究[J].同济大学学报,2007,1(1)：11-14
[29]肖洪天,周维垣.脆性岩石变形与破坏的细观力学模型研究[J].岩石力学与工程学报,2001,3(20)：151-155
[30]Sastry Kal V S, Sudhir G S. Softw are Modeling of Grinding Circuits[J]. Mining Engineering, 1995,47(9):83-837
[31]刘天鹏.受压状态下脆性材料断裂机理的试验研究[D].[硕士学位论文].西安：西安理工大学,2006
[32]叶贤东.超临速磨矿理论研究[D].[博士学位论文].云南：昆明理工大学,2002
[33]江晓红,张永忠.振动磨机的振动特性分析[J].矿山机械,1994,8(11)：12-15
[34]J.Jeng and E. Gock.Sizing of Tube Vibration Mills with the Aid of Simulation Model Based on Machine Dynamic[J]. AUFBDRE.ITUNGS-TECKNICK,1992,7(5):212-214
[35]刘建华.立式振动磨粉机参振体的运动学分析与结构设计研究[D].[硕士学位论文].东北：吉林大学,2006
[36]赵志杰.基于虚拟样机技术的振动机械动态仿真研究[D].[硕士学位论文].西安：西安建筑科技大学,2005
[37]H.Person. Fine grinding of a magnetite ore with a stirred ball mill[J]. Aufbereitungs-Technik,1994, 35(6):307-319.
[38]彭伟,侯书军,秦志英.振动磨机技术研究的新进展[J].矿山机械,2005,7(33)：25-26
[39]王树林.振动磨机内部动力学的研究[J].矿山机械,1994,5(3)：2-4
[40]尹忠俊,吴楠.振动磨机力能参数研究[J].冶金设备,2006,4(2)：12-18
[41]张新聚,常宏杰,侯书军.振动破碎机的设计与研究[J].煤矿机械,2008,8(29)：4-5
[42]L. M.Sheppard. Trends in milling equipment[J]. Ceramic Bulletin,1991,7 (5):803-808
[43]尹忠俊,吴楠.振动磨机力能参数研究[J].冶金设备,2006,4(2)：12-18
[44]MClV Or, R.E. Effects of speed and liner configuration on Engineering[J].1983(6):617-622
[45]郑怀昌,肖刚,胡龙.岩石冲击振动能试验测试研究[J].化工矿物与加工,2010,3(39)：24-28
[46]Dr-Ing K-E Kurrer, Prof Dr-ing E Cock. Effect of the operating conditions on motion and impact processes in vibration tube mills[J]. Berlin:Aufbereitungs-Technik,1986(10):539-541
[47]殷兴武.振动磨机介质运动状态及入料粒度分析[J].矿山机械,1994,4(21)：20-21
[48]王树林.振动超微颗粒制备技术的新进展[J].中国粉体技术,2001,10(10)：425-426
[49]刘政,苏乾益.振动磨机介质运动规律研究及工作参数的计算方法[J].南方冶金学院学报,2002,9(23)：7-12
[50]吕卫阳.立式振动磨机的研究[D].[硕士学位论文].西安：西安建筑科技大学,1995
[51]郑怀昌.石膏矿采空区冒落引发动力灾害的强度预测研究[D].[博士学位论文].北京：北京科技大学,2010
[52]姚宇新.矿岩粉碎能耗规律的分析[J].辽宁科技学院学报,2006,3(8)：4-5
[53]Nomura S, Tanaka T, Callcott T G. The effect of mill power on the selection function for tumbling andvibration ball mills[J]. Powder Technology,1994,4(81):101-109
[54]L owe J, Reifert L. Design of vivrating tube mills[J]. Aufbereitungs Technik 1994,11(35):8-11
[55]颜祥山.冲击过程中能量匹配分析[J].贵州教育学院学报,2001,4(12)：16-17
[56]彭猛,唐果宁.振动磨机碎磨动力学模型比较研究[J].湖南科技大学学报,2009,3(1)：32-35
[57]江山,方湄,殷秋生等.颗粒粉碎能耗与粒度的关系[J].北京科技大学学报,1996(18)：112-115
[58]刘树英,卜春光,闻邦椿.关于振动磨整机功率消耗的研究[J].黄金,1999,11(20)：27-29
[59]张世礼.特大型振动磨及其应用[D].北京：冶金出版社,2007
[60]Gock E, Jeng J. Sizing of Tube Vibration Mill with the Aid of Simulation Model Based on Machine Dynamics [J]. AUFBEREITUNGS-TECHNIK,1992,7(33):21-23
[61]王宇斌.微阶段化磨矿技术研究[M].[博士学位论文].西安：西安建筑科技大学,2005
[62]刘维平.采用改进型振动球磨机制备超细铜粉的研究[J].江西科学,2000,3(18)：24-27
[63]Lowe J, Reifert L. Design of vivrating tube mills[J]. Aufbereitungs Technik,1994,11(35):8-11
[64]M.S.Powell. The Effect of Liner Design on the Motion of the Outer Grinding Elements in a Rotary Mill[J]. Minerals Engineering,1991(31):163-193
[65]苏乾益,刘政.振动磨机介质运动规律及参数设计[J].南方冶金学院学报,2001,1(23)：14-18
[66]尹忠俊,王海霞.振动磨产品粒度和粉磨动力学研究[J].冶金设备,2006,8(158)：4144
[67]曹乐平,温芝元.振动磨优化研究[J].湖南农业大学学报,2003,10(5)：446448
[68]O.A.Orumwense, E.Forssberg.The Influence of Mill Size in Vibration Milling of Dolomite[J]. Aufbereitungs-technik,1990, (10):531-538
[69]王守信,郭亚兵.振动磨机试验测试及工艺参数对比分析[J].太原科技大学学报,2006,(1)：20-25
[70]Nomura S, Tanaka T, Callcott T G. The effect of mill power on the selection function for tumbling andvibration ball mills[J]. Powder Technology,1994,4(81):101-109
[2]张更超,应富强.超细粉碎技术现状及发展趋势[J].中国粉体技术,2003,4(9)：44-47
[3]张世礼.振动粉碎理论及设备[M].北京：冶金工业出版社,2000
[4]卢寿慈.粉体加工技术[M].北京：中国轻工业出版社,1999
[5]张国旺.超细粉碎设备及其应用[M].北京：冶金工业出版社,2005
[6]罗帆,聂鸿丽,孔祥忠.振动粉磨和振动破碎技术的发展回顾[J].中国水泥,2004,5(10)：41-45
[7]彭猛,唐果宁.振动磨机粉磨动力学研究进展[J].湘潭师范学院学报,2008,6(30)：107-108
[8]束美玲,颜景平等.机械法制备超细粉机理和能耗的理论研究[J].东南大学学报,1994,7(24)：14
[9]阎民,郭天德等.振动磨理论研究进展[J].[硕士学位论文].西安：西安理工大学学报,1998
[10]Gock E, Jeng J. Sizing of Tube Vibration Mill with the Aid of Simulation Model Based on Machine Dynamics [J]. AUFBEREITUNGS-TECHNIK,1992,33(7):32-35
[11]唐果宁,彭猛.振动磨机离散磨介群动力学模型研究[J].中国机械工程,2008,6(19)：1347-1348
[12]江山,方湄等.颗粒粉碎能耗与粒度的关系[J].北京科技大学学报,1996,2(18)：112-115
[13]刘建远.福州21世纪选矿会议论文：辊压机与粉碎工艺的改进[J].国外金属矿选矿,1996,(7)：29-32
[14]Dr.-ing.J.Lwe and Dr.-ing.L.Reifert. Design of Vibrating Mills[J]. Aufbereitungs-technik,1994(11): 582-592
[15]尹忠俊,吴楠.振动磨机力能参数研究[J].冶金设备,2006,4(9)：12-18
[16]彭猛,唐果宁.振动磨机碎磨动力学模型比较研究[J].湖南科技大学学报,2009,3(24)：32-36
[17]郭天德.振动磨的发展及降低能耗途径[J].中国非金属矿工业导刊,1999,5(11)：79-81
[18]刘树英,卜春光,闻邦椿.关于振动磨整机功率消耗的研究[J].黄金,1999,11(20)：27-29
[19]彭猛.振动磨机离散磨介动力学碎磨机理研究[D].[硕士学位论文].湖南：湖南科技大学,2009
[20]孙颖宏.立式振动磨机数字化设计[D].[硕士学位论文].西安：西安建筑科技大学,2008
[21]张世礼.特大型振动磨及其应用[M].北京：冶金出版社,2007
[22]徐小荷.岩石破碎学[M].北京：煤炭工艺出版社,1984
[23]肖洪天,周维垣.脆性岩石变形与破坏的细观力学模型研究[J].岩石力学与工程学报,2001,3(2)：151-155
[24]汤安民,朱文艺等.韧性材料的几种断裂形式及判断讨论[J].机械强度,2002,4(24)：566-570
[25]李源明.岩石破碎学[M].北京：地质出版社,1990
[26]FMLea, RWNurse. The specific surface offine powders[J]. Soc.Chem.Ind,1979(58):277-278
[27]王癤,王友宏,罗帆.硬质物料的振动冲击细碎[J].矿石机械,2003,4(31)：20-21
[28]邓涛,杨林德,韩文峰.加载方式对大理岩碎块分布影响的试验研究[J].同济大学学报,2007,1(1)：11-14
[29]肖洪天,周维垣.脆性岩石变形与破坏的细观力学模型研究[J].岩石力学与工程学报,2001,3(20)：151-155
[30]Sastry Kal V S, Sudhir G S. Softw are Modeling of Grinding Circuits[J]. Mining Engineering, 1995,47(9):83-837
[31]刘天鹏.受压状态下脆性材料断裂机理的试验研究[D].[硕士学位论文].西安：西安理工大学,2006
[32]叶贤东.超临速磨矿理论研究[D].[博士学位论文].云南：昆明理工大学,2002
[33]江晓红,张永忠.振动磨机的振动特性分析[J].矿山机械,1994,8(11)：12-15
[34]J.Jeng and E. Gock.Sizing of Tube Vibration Mills with the Aid of Simulation Model Based on Machine Dynamic[J]. AUFBDRE.ITUNGS-TECKNICK,1992,7(5):212-214
[35]刘建华.立式振动磨粉机参振体的运动学分析与结构设计研究[D].[硕士学位论文].东北：吉林大学,2006
[36]赵志杰.基于虚拟样机技术的振动机械动态仿真研究[D].[硕士学位论文].西安：西安建筑科技大学,2005
[37]H.Person. Fine grinding of a magnetite ore with a stirred ball mill[J]. Aufbereitungs-Technik,1994, 35(6):307-319.
[38]彭伟,侯书军,秦志英.振动磨机技术研究的新进展[J].矿山机械,2005,7(33)：25-26
[39]王树林.振动磨机内部动力学的研究[J].矿山机械,1994,5(3)：2-4
[40]尹忠俊,吴楠.振动磨机力能参数研究[J].冶金设备,2006,4(2)：12-18
[41]张新聚,常宏杰,侯书军.振动破碎机的设计与研究[J].煤矿机械,2008,8(29)：4-5
[42]L. M.Sheppard. Trends in milling equipment[J]. Ceramic Bulletin,1991,7 (5):803-808
[43]尹忠俊,吴楠.振动磨机力能参数研究[J].冶金设备,2006,4(2)：12-18
[44]MClV Or, R.E. Effects of speed and liner configuration on Engineering[J].1983(6):617-622
[45]郑怀昌,肖刚,胡龙.岩石冲击振动能试验测试研究[J].化工矿物与加工,2010,3(39)：24-28
[46]Dr-Ing K-E Kurrer, Prof Dr-ing E Cock. Effect of the operating conditions on motion and impact processes in vibration tube mills[J]. Berlin:Aufbereitungs-Technik,1986(10):539-541
[47]殷兴武.振动磨机介质运动状态及入料粒度分析[J].矿山机械,1994,4(21)：20-21
[48]王树林.振动超微颗粒制备技术的新进展[J].中国粉体技术,2001,10(10)：425-426
[49]刘政,苏乾益.振动磨机介质运动规律研究及工作参数的计算方法[J].南方冶金学院学报,2002,9(23)：7-12
[50]吕卫阳.立式振动磨机的研究[D].[硕士学位论文].西安：西安建筑科技大学,1995
[51]郑怀昌.石膏矿采空区冒落引发动力灾害的强度预测研究[D].[博士学位论文].北京：北京科技大学,2010
[52]姚宇新.矿岩粉碎能耗规律的分析[J].辽宁科技学院学报,2006,3(8)：4-5
[53]Nomura S, Tanaka T, Callcott T G. The effect of mill power on the selection function for tumbling andvibration ball mills[J]. Powder Technology,1994,4(81):101-109
[54]L owe J, Reifert L. Design of vivrating tube mills[J]. Aufbereitungs Technik 1994,11(35):8-11
[55]颜祥山.冲击过程中能量匹配分析[J].贵州教育学院学报,2001,4(12)：16-17
[56]彭猛,唐果宁.振动磨机碎磨动力学模型比较研究[J].湖南科技大学学报,2009,3(1)：32-35
[57]江山,方湄,殷秋生等.颗粒粉碎能耗与粒度的关系[J].北京科技大学学报,1996(18)：112-115
[58]刘树英,卜春光,闻邦椿.关于振动磨整机功率消耗的研究[J].黄金,1999,11(20)：27-29
[59]张世礼.特大型振动磨及其应用[D].北京：冶金出版社,2007
[60]Gock E, Jeng J. Sizing of Tube Vibration Mill with the Aid of Simulation Model Based on Machine Dynamics [J]. AUFBEREITUNGS-TECHNIK,1992,7(33):21-23
[61]王宇斌.微阶段化磨矿技术研究[M].[博士学位论文].西安：西安建筑科技大学,2005
[62]刘维平.采用改进型振动球磨机制备超细铜粉的研究[J].江西科学,2000,3(18)：24-27
[63]Lowe J, Reifert L. Design of vivrating tube mills[J]. Aufbereitungs Technik,1994,11(35):8-11
[64]M.S.Powell. The Effect of Liner Design on the Motion of the Outer Grinding Elements in a Rotary Mill[J]. Minerals Engineering,1991(31):163-193
[65]苏乾益,刘政.振动磨机介质运动规律及参数设计[J].南方冶金学院学报,2001,1(23)：14-18
[66]尹忠俊,王海霞.振动磨产品粒度和粉磨动力学研究[J].冶金设备,2006,8(158)：4144
[67]曹乐平,温芝元.振动磨优化研究[J].湖南农业大学学报,2003,10(5)：446448
[68]O.A.Orumwense, E.Forssberg.The Influence of Mill Size in Vibration Milling of Dolomite[J]. Aufbereitungs-technik,1990, (10):531-538
[69]王守信,郭亚兵.振动磨机试验测试及工艺参数对比分析[J].太原科技大学学报,2006,(1)：20-25
[70]Nomura S, Tanaka T, Callcott T G. The effect of mill power on the selection function for tumbling andvibration ball mills[J]. Powder Technology,1994,4(81):101-109