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Displacement of vibrational devices
Authors:A M Petreev  V P Gileta  B N Smolyanitskii
Abstract:Conclusions  The following characteristics of self-transportation have been established.
1.  If the frictional force F does not exceed the recoil force within a single oscillation period T of the vibrational device, the phase length of forward motion in steady self-transportation is always half the period; it only becomes less than half the period when the relationship between these forces reverses. In the vicinity of the point where this relationship reverses, the rate of self-transportation of the device is a maximum.
2.  If the preimpact momentum of a device operating in vibroshock conditions is less than the critical value i=FT/4, self-transportation is always in the opposite direction to the shocks.
3.  The greatest rate of self-transportation that is theoretically possible is equal to the critical momentum i of the system divided by the mass of the base element.
4.  The rate of self-transportation depends on the form of the momentum diagram of the resultant of the internal active forces acting on the base mass. The character of the dependence and the relevant criteria are analogous to those established in evaluating the ability of the form factor to reduce the vibration and the necessary input force for shock machines.
These results offer the possibility of further analysis of self-transportation, taking the characteristics of the specific generator of the internal active forces into account. Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk. Translated from Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, No. 6, pp. 59–65, November–October, 1997.
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