连铸结晶器非正弦振动装置建模与固有特性分析

为实现机械系统驱动的结晶器非正弦振动波形偏斜率的在线调节，设计出一种双伺服电机驱动的结晶器非正弦振动装置。阐述其工作原理，建立三维模型并进行运 动学仿真；建立扭转-平移耦合动力学模型，推导其动力学方程。研究表明，非正弦振动系统的质量矩阵是常量，刚度矩阵、阻尼矩阵随时间周期性变化。最后，基于瞬时机构凝固法，分析了系统偏心轴的转角、振幅、构件惯性参数及刚度对其固有频率的影响。

Modeling and Natural Characteristic of Non-sinusoidal Oscillator of Continuous Casting Molds

To realize modification ratio of non-sinusoidal oscillation  adjusted on line for mold driven by mechanisms，a non-sinusoidal  oscillator driven by double servomotors was proposed.Firstly，working  principles of the oscillator were described.3D model of the system was  established，which was analyzed by simulation software.Secondly，the  torsional-translational coupling dynamics model was created，and the  dynamics equations of which were deduced.The results show that mass matrix  of non-sinusoidal oscillation is constant，stiffness matrix and damping  matrix change with time.At last，based on instantaneous  mechanism-solidified method，natural frequency of the system was analyzed ，which was influenced by rotational angles of eccentric shaft，amplitudes,inertia parameters and stiffness.