双质体三机驱动振动系统同步特性数值模拟
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摘要
提出了一种双质体三机驱动自同步振动系统。推导出了双质体振动系统的运动微分方程,并给出了系统的机电耦合数学模型。建立了新的机电耦合仿真模型。最后,运用控制变量法以数值试验的方式研究了中间弹簧刚度、共振、激振力以及电机安装位置对系统自同步性以及同步相位差角的影响。研究结果表明:双质体振动系统在一定条件下能实现稳定的同步运动;中间弹簧刚度、激振力以及电机安装位置对系统的同步特性均有较大的影响;系统处于共振状态时,不能实现同步;上质体两电机水平安装距离的增大,有利于系统同步运动的实现。
A double mass vibrating system of self-synchronization with tri-exciter was put forward. The dynamic differential equation of the double mass vibrating system was established and the electromechanical coupling mathematical model was got. The new electromechanical coupling simulation model was built. By the method of controlling variables, the effects of various factors, such as stiffness of middle spring, resonance, centrifugal force and motor mounting position on self-synchronization of the system and phase difference were studied in a numerical experiment manner. The research results show this system can achieve a stably synchronized motion under certain conditions. The stiffness of intermediate spring, exciting force and installation position of motors have a significant impact on the performance of the system synchronization. System synchronization can't be obtained when the resonance happens. Increasing horizontal mounting distance of motors of upper body benefits system synchronization.
A double mass vibrating system of self-synchronization with tri-exciter was put forward. The dynamic differential equation of the double mass vibrating system was established and the electromechanical coupling mathematical model was got. The new electromechanical coupling simulation model was built. By the method of controlling variables, the effects of various factors, such as stiffness of middle spring, resonance, centrifugal force and motor mounting position on self-synchronization of the system and phase difference were studied in a numerical experiment manner. The research results show this system can achieve a stably synchronized motion under certain conditions. The stiffness of intermediate spring, exciting force and installation position of motors have a significant impact on the performance of the system synchronization. System synchronization can't be obtained when the resonance happens. Increasing horizontal mounting distance of motors of upper body benefits system synchronization.
引文
[1]Blekhman I I,Fradkov A L,Nijmeijer H.On selfsynchronization and controlled synchronization[J].Systems&Control Letters(S0167-6911),1997,31(6):299-305.
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[5]Bangchun Wen,Hui Zhang,Shuying Liu,et al.Theory and Techniques of Vibrating Machinery and Their Applications[M].Beijing,China:Science Press,2010:251-273.
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[7]张楠,侯晓林,闻邦椿.四电机驱动自同步振动筛同步稳定性判据[J].矿山机械,2008,19(36):99-103.
[8]张楠,侯晓林,闻邦椿.基于Hamilton多机振动系统同步稳定特性分析[J].东北大学学报,2008,29(5):709-713.
[9]来鑫,乌建中,周文,等.桩锤同步振动系统的机电耦合特性及同步控制[J].同济大学学报,2012,40(6):920-925.
[10]罗春雷,韩清凯.液压驱动控制的偏心回转系统同步特性[J].机械工程学报,2010,46(6):176-181.
[11]李鹤,刘丹,姜来.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.
[12]王锋,姜建国,颜天佑.基于Matlab的异步电动机建模方法的研究[J].系统仿真学报,2006,18(7):1733-1741.
[13]高景德,王祥珩,李发海.交流电机及其系统的分析[M].北京:清华大学出版社,2005:220-232.
[14]Yongjun Hou.Dynamics Analysis of Vibrating Screen Based on Double Compound Pendulum with Single Motor Driving[J].Applied Mechanics and Materials,2014,45(9):335-341.
[15]闻邦椿,刘树英,陈照波,李鹤.机械振动理论及应用[M].北京:高等教育出版社,2009.
[2]Blekhman I I,Fradkov A L,Tomchina O P,et al.elf-synchronization and controlled synchronization:general definition and example design[J].Mathematics and Computers in Simulation(S0378-4754),2002,58(4):367-384.
[3]Blekhman I I.Selected topics in vibrational mechanics[M].Singapore:World Scientific,2004.
[4]熊万里,闻邦椿,段志善.自同步振动及振动同步传动的机电耦合机理[J].振动工程学报,2000,13(3):325-331.
[5]Bangchun Wen,Hui Zhang,Shuying Liu,et al.Theory and Techniques of Vibrating Machinery and Their Applications[M].Beijing,China:Science Press,2010:251-273.
[6]侯勇俊,闫国兴.三电机激振自同步振动系统的机电耦合机理研究[J].振动工程学报,2006,19(3):354-358.
[7]张楠,侯晓林,闻邦椿.四电机驱动自同步振动筛同步稳定性判据[J].矿山机械,2008,19(36):99-103.
[8]张楠,侯晓林,闻邦椿.基于Hamilton多机振动系统同步稳定特性分析[J].东北大学学报,2008,29(5):709-713.
[9]来鑫,乌建中,周文,等.桩锤同步振动系统的机电耦合特性及同步控制[J].同济大学学报,2012,40(6):920-925.
[10]罗春雷,韩清凯.液压驱动控制的偏心回转系统同步特性[J].机械工程学报,2010,46(6):176-181.
[11]李鹤,刘丹,姜来.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.
[12]王锋,姜建国,颜天佑.基于Matlab的异步电动机建模方法的研究[J].系统仿真学报,2006,18(7):1733-1741.
[13]高景德,王祥珩,李发海.交流电机及其系统的分析[M].北京:清华大学出版社,2005:220-232.
[14]Yongjun Hou.Dynamics Analysis of Vibrating Screen Based on Double Compound Pendulum with Single Motor Driving[J].Applied Mechanics and Materials,2014,45(9):335-341.
[15]闻邦椿,刘树英,陈照波,李鹤.机械振动理论及应用[M].北京:高等教育出版社,2009.