Justification of the vibration plate installation type of the hopper of fertilizer applying machine

Background. The main units of an agricultural machines for subsoil fertilizer application are the hopper and metering unit, which provides uniform fertilizer supply to all sowing working bodies. As a result of the main research, a hopper and metering device with a vibratory plate operating in forced oscillation mode was proposed, and in this paper installation types of vibratory plate on a chamber have been theatrically investigated. The main goal of the study is to define more effective type of installation. The vibratory plate was modeled as a flexible rod with two fixed ends and one degree of freedom, then the vibration amplitudes and frequencies for 4 types of mounting were investigated. According to theoretical studies, a rational model for fixing the vibrating plate is a fixed rod with two ends fixed pivotally.

Purpose. The aim of the present study is to perform the justification of the vibration plate installation type of the hopper of the fertilizer applying machine.

Materials and methods. Figure 1 presents the scheme and experimental example of the proposed hopper. To simulate the fastening scheme of the AB plate ends, 4 ways of fixing are proposed in Figure 3. As a result, we calculate the frequency for each circuit, compare them with real frequencies and select one of the four ways of fixing. During the research, it has been calculated the frequency for each circuit, compare them with real frequencies and select one of the four ways of fixing. To solve the problem described above, in the first approximation, the oscillation of the AB plate is modeled as the oscillation of an elastic system with one degree of freedom presented in Figure 4. The unknown parameters are determined by boundary conditions.

Results. The effective installation type of the vibratory plate has determined by modeling it as a flexible plate with two ends fixed with one degree of freedom. Vibration amplitudes and frequencies for the 4 ways of fixing the plate as vibrations of an elastic system were determined. By modeling a fixed vibrating plate with two ends that is a one-dimensional continuous system, amplitude problems and frequency equations of specific and involuntary vibrations of the plate were obtained. According to results it concluded that the rational model of a vibrating plate is a fixed plate with two ends hinged. The specific frequency of the plate was approximately the same as the results of the calculation of the body model identified earlier.

Conclusion. The studied data is required for further analysis using computational fluid dynamics (CFD) and discrete element method (DEM).

According to the general search, it should be noted that the seeding device with the proposed compensating chamber provides 4.37–6.63% seeding unevenness and 5–5.8% seeding instability.