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对新型结晶器非正弦振动系统进行动力学分析,建立该系统的弹性动力学模型,并推导其运动微分方程。研究表明,该系统是周期时变参数系统,其质量矩阵、刚度矩阵和阻尼矩阵都随时间周期性变化。基于此,采用“瞬时机构凝固法”对该周期时变系统的固有特性进行分析,结果表明,随逆平行四连杆机构主动曲柄位置和非正弦波形偏斜率的变化,系统的固有频率变化较大。文中还分析了系统的工作频率、结晶器的振幅及构件的参数和刚度对其固有特性的影响。为逆平行四连杆驱动的非正弦振动系统的优化设计及应用提供了理论依据。
The dynamic analysis of the non-sinusoidal vibration system of the new mold is carried out, the elastic dynamics model of the system is established, and the differential equation of motion is deduced. The research shows that the system is a system of periodic time-varying parameters whose mass, stiffness and damping matrices all change periodically with time. Based on this, the inherent characteristics of the periodic system with time-varying system are analyzed by “instantaneous mechanism solidification method ”. The results show that with the change of the skewness of active crank position and non-sinusoidal waveform of the anti-parallel four-bar mechanism, the natural frequency big change. The paper also analyzes the system operating frequency, the amplitude of the mold and the component parameters and stiffness of its inherent characteristics. It provides a theoretical basis for the optimization design and application of anti-parallel four-bar non-sinusoidal vibration system.