双激振电机驱动旋转振动筛系统的同步理论研究
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摘要
旋转振动筛广泛用于矿业、农业生产等领域。其具有效率高、密封性好、可连续作业和体积小等特点。基于这些特点,提出了旋转振动筛系统的简化物理模型。用拉格朗日方程建立了旋转振动筛系统的空间运动动力学方程,引入无量纲参数,将动力学方程转化为无量纲方程,利用拉普拉斯变换对该方程求解,得出该系统在各个自由度方面的响应。利用庞加莱法和中心流形定理推导出系统的自同步平衡方程和稳定性准则。通过数值仿真和机电耦合仿真相互印证其理论的正确性。
Rotating vibrating screens with features of high efficiency, good sealing, continuous operation and small volume are widely used in fields of mining, agriculture and so on. Here, based on these features, a simplified physical model of a rotary vibrating screen system was proposed. Firstly, dynamic equations of the rotary vibrating screen system were established with Lagrange equation, and dimensionless parameters were introduced to convert the dynamic equations into dimensionless equations. Laplace transformation was used to solve the dimensionless equations and obtain each DOF's response of the system. Then, Poincaré method and the central manifold theorem were used to derive the system's self-synchronous equilibrium equation and stability criterion. Finally, the correctness of the proposed theory was verified with numerical simulation and mechanical-electrical coupled analog test.
Rotating vibrating screens with features of high efficiency, good sealing, continuous operation and small volume are widely used in fields of mining, agriculture and so on. Here, based on these features, a simplified physical model of a rotary vibrating screen system was proposed. Firstly, dynamic equations of the rotary vibrating screen system were established with Lagrange equation, and dimensionless parameters were introduced to convert the dynamic equations into dimensionless equations. Laplace transformation was used to solve the dimensionless equations and obtain each DOF's response of the system. Then, Poincaré method and the central manifold theorem were used to derive the system's self-synchronous equilibrium equation and stability criterion. Finally, the correctness of the proposed theory was verified with numerical simulation and mechanical-electrical coupled analog test.
引文
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[14] BELLOCQ B,RUIZ T,DELAPLACE G,et al.Screening efficiency and rolling effects of a rotating screen drum used to process wet soft agglomerates[J].Journal of Food Engineering,2017,195:235-246.
[15] WINISTORFER P M.A concentric rotary laboratory screen for wood particle classification[J].Europe PMC,1985,35(3):39-41.
[16] 段新豪,张春华.摇摆筛的发展现状及趋势[J].中国粉体技术,2014,20(5):81-83.DUAN Xinhao,ZHANG Chunhua.Current technical status and future prospects of tumbler screening machines[J].China Powder Science and Technology,2014,20(5):81-83.
[2] 侯勇俊.双轴二倍频振动筛的自同步及稳定性[J].西南交通大学学报,2012(1):104-108.HOU Yongjun.Self-synchronization and stability of two-times frequency shaker excited by bi-shaft[J].Journal of Southwest Jiaotong University,2012(1):104-108.
[3] 闻邦椿,范俭,赵春雨,等.工程中的振动同步与控制同步[M].北京:中国人民大学出版社,2009.
[4] ZHAO C Y,ZHANG Y M,WEN B C.Synchronisation and general dynamic symmetry of a vibrating system with two exciters rotating in opposite directions[J].Chinese Physics B,2010,19(3):14-20.
[5] JIANG J,LIU S Y,WEN B C.Dynamics analysis,selection and calculation on the parameters of a rotary vibrating screen[J].Transactions of the Canadian Society for Mechanical Engineering,2016,40(4):563-573.
[6] 李鹤,刘丹,姜来,等.含二次隔振架的双机驱动振动机的自同步理论研究[J].振动与冲击,2014,33(8):134-140.LI He,LIU Dan,JIANG Lai,et al.Self- synchronization theory of a vibrating system with a two- stage vibration isolation frame driven by two motors[J].Journal of Vibration and Shock,2014,33(8):134-140.
[7] HOU Y,FANG P.Synchronization and stability of two unbalanced rotors with fast antirotation considering energy balance[J].Mathematical Problems in Engineering,2015:1-15.
[8] HOU Y,DU M,FANG P,et al.Synchronization and stability of elasticity coupling two homodromy rotors in a vibration system[J].Shock and Vibration,2016:1-10.
[9] FANG P,HOU Y,NAN Y,et al.Study of synchronization for a rotor-pendulum system with Poincare method[J].Journal of Vibroengineering,2015,17(5):2681-2695.
[10] 刘枭.双激振电机复频振动筛动力学及试验研究[D].成都:西南石油大学,2009.
[11] 董怀荣,李作会,王平,等.ZS6B型直线振动筛动力学性能描述[J].石油矿场机械,2004(1):20-23.DONG Huairong,LI Zuohui,WANG Ping,et al.Performance description of kinetics of model ZS6B drilling fluid linear shale shaker[J].Oil Field Equipment,2004(1):20-23.
[12] POCWIARDOWSKI W,WODZINSKI P.Biological material sieving in rotary screen[J].Rocznik Ochrona Srodowiska,2011,13:1115-1131.
[13] LAWINSKA K,MODRZEWSKI R.Analysis of sieve holes blocking in a vibrating screen and a rotary and drum screen[J].Physicochemical Problems of Mineral Processing,2017,53(2):812-828.
[14] BELLOCQ B,RUIZ T,DELAPLACE G,et al.Screening efficiency and rolling effects of a rotating screen drum used to process wet soft agglomerates[J].Journal of Food Engineering,2017,195:235-246.
[15] WINISTORFER P M.A concentric rotary laboratory screen for wood particle classification[J].Europe PMC,1985,35(3):39-41.
[16] 段新豪,张春华.摇摆筛的发展现状及趋势[J].中国粉体技术,2014,20(5):81-83.DUAN Xinhao,ZHANG Chunhua.Current technical status and future prospects of tumbler screening machines[J].China Powder Science and Technology,2014,20(5):81-83.