Vol. 16/No. 5
1997
A Systems Model and Simulation of the
Vibratory Bowl Feeder
Gary P. Maul and M. Brian Thomas, The Ohio State University, Columbus, Ohio
ture of a vibratory bowl feeder is the maximum speed at which it can convey parts. Though not the first to research vibratory feeders, he worked independently of other investigators to develop a basic theory of operation. He defined the essential parameters for bowl analysis and with these defined the limits at which a bowl can function.
Further analysis comes from a pair of papers by
Winkler.a,4 His works discuss motion along a linear conveyor by sliding and hopping. Winkler limited his analysis to simple waveforms for track velocity.
Studies of more complex waveforms come from later sources. Srinath and Karmakar s performed a simple analysis using track motion with two frequency components. Okabe et al. 6 attempted to find the optimum waveform to move particles along a vibratory conveyor. They found that the mean part velocity can be increased with a suitable waveform, but obtaining that waveform may not be practical in terms of the actuator and its control.
Mansour 7 presented an early computer analysis of linear conveyors, using analog, digital, and hybrid computer analyses. His work considered both sinusoidal motion as well as motion generated by fourbar linkages. Digital computer simulation has allowed for further analysis. Lim 8 developed a flowchart that may be used to develop a simulation in any programming language.
Most previous studies into vibratory bowl feeder behavior have focused on the part within the feeder reacting to the predetermined motion of the feeder.
Typically, the researcher will assume the bowl undergoes sinusoidal motion and will not investigate the dynamics of the feeder itself. One exception is
Okabe and Yokoyama,9 who presented a simple method to calculate a feeder's natural frequency. A much more detailed