Dynamic and stability analysis of the vibratory feeder and parts considering interactions in the hop and the hop-sliding regimes
TL;DR: The results indicate the dynamic response of the vibratory feeder affects the motion of the parts largely and the motionof the parts also affects theynamic response in turn.
Abstract: In this paper, the interactions of a translational vibratory feeder and the parts in the hop and the hop-sliding regimes are studied by means of an improved multi-term incremental harmonic balance method. It is an effective approach analyzing the interactions by introducing an analytical model of the motion of the feeding parts to the solution procedure. A generalized time-varying piece-wise linear dynamic model of the vibratory feeder is established to conduct a comprehensive investigation on the interactions, where the friction and the impact from the parts are included. The results indicate the dynamic response of the vibratory feeder affects the motion of the parts largely and the motion of the parts also affects the dynamic response in turn. The influences of the mass of the parts, the vibration angle, the installation angle, and the friction coefficient on the interactions of the vibratory feeder and the parts are discussed. The interactions are very important and not ignored.
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07 Jun 2021
TL;DR: In this article, the conveying surface or track is modelled by a bilinear model and the motion of a part on a curved surface mounted upon a linear vibratory feeder is analyzed.
Abstract: The motion of a part on a curved surface mounted upon a linear vibratory feeder is of great importance in mass production. In this article, the conveying surface or track is modelled by a bilinear ...
5 citations
TL;DR: In this article, a new dynamic model is introduced for motion of the part under the effect of base excitation which is moving on or separating from a 3D spiral track, and different scenarios which may occur due to the interaction of a part and the track such as sliding and hopping are predicted.
4 citations
Journal Article•
TL;DR: Based on Coulomb's law and collision regime, the sliding-hopping motion model on a linear vibratory conveyor was established and the effects on the motion of the part were analyzed in different vibration conditions upon the proposed model as discussed by the authors.
Abstract: Vibratory conveyor feeding part experiences discontinuous friction and collision,which is a typical strong-nonlinear dynamic problem. It is significant to obtain the motion state under different vibration conditions to design the vibratory conveyor. Based on Coulomb 's lawand collision regime, the sliding-hopping motion model on a linear vibratory conveyor was established. The effects on the motion of the part were analyzed in different vibration conditions upon the proposed model. It was found that there were both forward and backward sliding in the hopping motion,which influenced the motion of the part.
4 citations
TL;DR: In this paper, a simplified mathematical model of the inclined vibration platform and granular material is deduced by mechanical properties based on the equations of motion and a good degree of accuracy and applicability of the process with calculated data reported in the literature.
3 citations
2 citations
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TL;DR: In this paper, a multi-term harmonic balance method (HBM) was proposed for nonlinear frequency response calculations of a torsional sub-system containing a clearance type nonlinearity.
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TL;DR: Feng et al. as mentioned in this paper discussed the choice of the sign of the incremental load factor in the predictor solution phase of arc-length methods and showed that the criterion recently proposed by Y.T. Feng, D.R. Peric and D.J. Owen produces a reliable path direction prediction even in the presence of bifurcations and/or ''snap-backs', when some popular criteria may fail to predict the continuation direction.
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