Modeling of vibratory finishing machines

Modeling of material removal mechanism in vibratory finishing process

“…The contact force of media on workpiece was measured by a force sensor (Kistler dynamometer type 9017, the sensor area: 0.829 cm 2 ) and was normalized by the unit area to obtain the normal force Fṅ per a unit area. For the measurement of instantaneous travel speed of a body (media or workpiece) in the bowl during machine run, a rotary encoder (DATA Technology, RS23-1000-40/5-L, 1000 pulses/rev) was attached to the fishing line method [9] as shown in Fig. 3.…”

“…where A r is the relative amplitude of media to the workpiece, V is the angular velocity of the forced vibration which is given by the spindle speed of the vibratory finishing machine, w is the phase angle [9]. Although the average velocities of the tangential components v¯r t ; v¯0 rt are constant before and after collision, the average velocities of the normal components v¯r n ; v¯0 rn change in both magnitude and direction.…”

“…In vibratory finishing, a bowl or tub supported on multiple springs is charged with abrasive media and workpieces, and shaken with forced vibrations induced by a rotating spindle with eccentric masses [9]. A workpiece located at a depth H from the top surface of the media receives two normal force components.…”

Substantiation of inertial, stiffness and excitation parameters of vibratory lapping machine with linear oscillations of laps

“…In the paper [7], there was developed a mathematical model of the bowl-type vibratory finishing machine. This model was used for analysing the dynamic behaviour of the machine's mechanical oscillatory system considering both free and forced vibrations.…”

“…It may be reduced to one power equation with respect to  . Since the length of the obtained equations, as well as their complexity, is very large, in major publications (for example, [6,7,[11][12][13][14]) the authors recommend to neglect the system's…”