механизмом бунтов хлопка Dynamics of the machine aggregate with a milling mechanism of the cotton bundle disassembler

. The article covers the dynamics of the machine aggregate with a milling mechanism of the cotton bundle disassembler, taking into account the mechanical characteristics of the electric drive, technological resistance and torque of friction forces. The law of motion of the milling machine is defined. The dependence of the torque coefficient of the rubber bushing mounted on the milling heads on the vibrational value of the angular velocities of the rotating drive drum, the angular velocity of the drive rotor and torque is shown. Optimal values of the parameters according to the analysis of the connection graphs were recommended.


INTRODUCTION
As we know, the main working body of the cotton bundle disassembler machine is a peg or milling drum, which has a number of design solutions [1,2]. Nevertheless, the separation of the cotton pieces from the bundle was mainly done from the top down. In this case, the cotton pieces are not well hung with pegs, the incidence of spillage is high. Therefore, a method of separating the cotton pieces from the bottom up was recommended. In this case, the cotton pieces are separated in one plane without spilling and passed through a tube in the air stream [3].
The advantage of the recommended milling drum is that it is made of composite, mounted on the milling cutter shaft by means of flexible rubber bushings. In this case, the rotational motion of the milling drum is due to the deformation of the rubber bushing [4].
Because of these rotational movements, the milling drum intensively separates the cotton pieces from the peg, shaking it. This means that along with the increase in productivity, the efficiency of partial cleaning will also increase.

CALCULATION SCHEME AND MATHEMATICAL MODEL OF THE MACHINE AGGREGATE
The milling drum receives motion through an electric drive, a transmission shaft, a conical gear reducer. The calculation scheme is shown in Fig. 1. In the scheme, the milling drum was considered as one whole without being divided into two. However, the rubber bushing was taken into account. In order to obtain the mathematical model of a cotton bundle disassembler machine aggregate, we calculate using Lagrange's second-order equation [5,6].
where Т, Π are the kinetic and potential energies of the system, Ф is the dissipative function of the relay, ( ) are the external forces; is generalized coordinate.
System kinetic and potential energies are [6,7]: where ̇1, ̇2,̇3 are the angular apeeds of the electric drive shaft, the gearbox output shaft and the drum shaft and the milling headset, respectively, С is the coefficient of rotation of the rubber bushing; 23 is transmission ratio.
The dissipative function of the relay is [8]: where ϐ is the dissipation coefficient of rotation of the rubber bushing.
Correspondingly, we create a mathematical model representing the motion of a threemass machine aggregate by determining the additions of the Lagrange equation for each generalized coordinate [8,9]: юф is driving torque interacting between the drive and reducer output shaft, is the moment of resistance of frictional forces.

NUMERICAL SOLUTION OF THE PROBLEM AND ANALYSIS OF RESULTS
The solution of the system of differential equations (4) representing the motion of the machine aggregate, including the milling drum drive of the cotton bundle disassembler, was carried out using the Runge-Kutta program [5,10], considering the following initial calculated  Because result of processing the obtained laws of motion and loads, graphs of the interrelationships of machine unit parameters were constructed. In particular, Figure 4 shows Correspondingly, as the torque values on the electric drive increase from 0.04 ˑ 10 2 Nm to 0.12ˑ10 2 Nm, the load on the milling headset increases from 0.09ˑ10 2 Nm to 0.32ˑ10 2 Nm in a nonlinear connection (Fig. 4, 4-graph). It is known that the speed of the milling cutter is much higher than the rotational motion, which allows intensive separation of cotton from the mill.    decrease in a nonlinear pattern from 4.4ˑ10 s -1 to 1.58ˑ10 s -1 (Fig. 5, graph 1). It should be noted that if the torque on the drive shaft increases from 0.052ˑ10 2 Nm to 0.18ˑ10 2 Nm, the torque on the milling headset increases from 0.12ˑ10 2 Nm to 0.33ˑ10 2 Nm in a non-linear connection.
It is recommended that the rubber bushing average rotational coefficient of rotation be less than (4.0÷5.0) Nm/rad to ensure that the speed vibration coverage (0.6÷1.6) is in the range of 10 s -1 . It should be noted that by increasing the weight of the rotating mass or the moment of inertia, it is possible to make its rotation smooth [10][11][12]. Fig. 6 shows graphs of the vibration coverage of the angular speeds of the spinning mill drum and the drive rotor depending on the change in their moment of inertia. When the moment of inertia of the cutter headset increases from 1.2ˑ10 m 2 to 5.0ˑ10 m 2 , when the coverage of the rotational oscillation speed of its angular speed is Мишқ= 5.0 Nm, the values of Δ̇3 decreases from 1.52ˑ10 s -1 to 0.26ˑ10 s -1 , while Мишқ=9.0 Nm, the angular speed coverage of the milling headset decreases in a nonlinear pattern from 2.25ˑ10 s -1 to 0.61ˑ10 s -1 . Correspondingly, the values of Δ̇1 on the electric drive shaft decrease in a nonlinear pattern from 4.6ˑ10 s -1 to 2.28ˑ10 s -1 (Fig. 6, graph 1, 2). However,

RECOMMENDED COTTON BUNDLE DISASSEMBLER
Analysis of the comparative test results shows that when using the recommended cotton bundle disassembler milling drum, the productivity can be increased by 1.9 t/h compared to the existing working body. Cotton cleaning has also improved. At the same time, it was found that for every 10 kg of raw cotton (up to 4÷5) the number of pieces with up to 24% more fiber than the existing design, i.e. improved cotton cleaning. As a result, it was found that the cleaning efficiency of cotton increased by 5.9%. It was also noted that due to the use of a rubber shock absorber in the proposed design, the damage to the seeds because of the soft impact was reduced by 0.08÷0.09% after the UXK unit. The efficiency of cleaning cotton after the cleaning unit was found to be 88.0% when using the recommended construction, and 79.5% when using the series construction. This means that the use of the recommended working drum in the cotton bundle disassembler machine leads to high efficiency. Degree of shredding of cotton (percentage of pieces of up to 5 fibrous seeds in 10 kg of raw cotton), % 85 61

CONCLUSIONS
The efficient design of a milling drum of the cotton bundle disassembler is recommended. Based on the theoretical research, the laws of motion and loads of the drive and milling headset were determined, and the optimal parameters were recommended. Based on the test results, recommendations for implementation are given.