新型结晶器非正弦振动系统弹性振动响应的研究

Research on the Elastic Vibration Response of New Non-sinusoidal Oscillation System for the Mold

针对开发的逆平行四连杆驱动的串接式全板簧结晶器非正弦振动系统,利用集中参数法建立该系统扭振与线振相耦合的动力学模型,并推导其运动微分方程。采用谐波平衡法求出系统的弹性振动响应,时域分析结果表明,在某些工作频率下结晶器运动规律产生畸变,系统发生剧烈弹性振动。频域方面,由FFT分析得出系统发生共振是结晶器运动规律产生畸变的原因,其本质是弹性振动响应的频谱中谐波明显增多,谐波幅值大幅增加。在此基础上分析系统各类激励对弹性振动的影响,结果表明,具有多频性的内激励是系统共振的决定因素,决定了共振的频率,而外激励只影响共振峰值的大小。这些结论为该振动系统的进一步应用及结晶器非正弦振动系统的平稳性研究提供了理论依据。

A new type of non-sinusoidal oscillation system for the mold made up of anti-parallel equal-crank four-bar linkage and the cascaded whole-leaf spring oscillation mechanism.Elastic dynamic model coupled by torsional and linear vibration is set up with lumped parameter method and equations of motion is also built.Elastic vibration response is solved in time domain,which shows motion law of mold becomes distortion in some working frequency.In frequency domain,it is given that resonance is the cause of distortion motion of mold by FFT,and harmonic increases with bigger amplitudes in these frequencies.Furthermore,effects on the motion law of excitations are analyzed,which proves that the inner excitations with multi-frequency determine the resonance frequency of the system and external excitation only influence resonance peak value.So the study can provide theoretical basis for application of the system and research on the kinematic stability of the non-sinusoidal oscillation system.