Dynamics analysis on non-sinusoidal vibration system of crystallization utensil driven by elliptical gears
Zheng Xue-ran
Abstract
Zheng Xue-ran
Abstract
The dynamics model of non-sinusoidal vibration system of crystallization utensil driven by elliptical gears was established,and its dynamics equation was derived.The research showed that when compared with the sinusoidal vibration system the non-sinusoidal vibration system of crystallization utensil driven by elliptical gears is not only the rigidity matrix varied along with the position of crank but the mass matrix and the damping matrix varied along with the position of crank as well.The elastic vibration excitation of vibration system includes high ordered harmonic component as well besides the basic wave.While the continuous casting machine is working regularly,not only the basic frequency should be kept far from the inherent frequency,the harmonic frequency with a rather large amplitude value should also be kept far from the inherent frequency as well,and this is not an existed problem in the sinusoidal vibration.
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The dynamics model of non-sinusoidal vibration system of crystallization utensil driven by elliptical gears was established,and its dynamics equation was derived.The research showed that when compared with the sinusoidal vibration system the non-sinusoidal vibration system of crystallization utensil driven by elliptical gears is not only the rigidity matrix varied along with the position of crank but the mass matrix and the damping matrix varied along with the position of crank as well.The elastic vibration excitation of vibration system includes high ordered harmonic component as well besides the basic wave.While the continuous casting machine is working regularly,not only the basic frequency should be kept far from the inherent frequency,the harmonic frequency with a rather large amplitude value should also be kept far from the inherent frequency as well,and this is not an existed problem in the sinusoidal vibration.
Key concepts: Vibration, Crank, Non-sinusoidal waveform, Harmonic, Acoustics, Mechanics, Matrix (chemical analysis), Amplitude