OBRABOTKAMETALLOV Vol. 23 No. 3 2021 MATERIAL SCIENCE EQUIPMENT. INSTRUMENTS 4 2 2 The angular velocity is determined as: 0 0 2 2 1 2 2 0 0 sin 2 , A A d d J J M M n B e e d J (9) Integrating expressions under the root sign, we get: 0 0 2 2 1 2 2 0 0 sin 2 , A A d d J J M M n B e e d J (10) where 1 2 2 0 m m M D J ; 2 2 2 1 0 0 2 2 2 0 m m m M M D J ; 2 3 M D J . Assuming that steady motion occurs at φ tending to infi nity, the expression (10) takes the form 3 1 2 2 2 1 1 2 cos 2 sin , 4 D n n D n D D D n (11) from which 2 3 max 2 2 1 1 2 4 D D D D n ; 2 3 min 2 2 1 1 2 , 4 D D D D n (12) The resulting equations (12) are substituted into the equation for determining the irregular motion of the drive shaft, which is the following: max min max min 2 . (13) Results and discussion The intended purpose requires defi ning the main properties of the motor, which for the case under consideration are: Мd is the drive moment, which is determined in accordance with equation (2); Мm is the maximum (overturning moment).; rates of angular motion: ω0 = 145 s –1 and ω m = 36 s –1 corresponding to Md = 0 and Md = Мm = 158 Nm. All these parameters are presented in the form of a graph in Figure 2, where the solid line shows the properties of the motor, and the dashed line is the parabola described by equation (3), in which A and B are determined by the condition of the parabola passage through the origin and point 0. The moment of the useful resistance, reduced to the main (modifi ed) shaft is presented in the form of a graph shown in Figure 3. In accordance with the previously obtained data presented in [24–27], the reduced moment of inertia of all machine masses to the main (modifi ed) shaft is J = 0,323 kg·m2. The drive shaft speed of rotation was calculated using equation (11). The calculation results are shown in Figure 4. For the case under consideration, the irregular rotation of the modifi ed shaft was 0.085 (11) with a maximum rotation speed equal to ωmax = 145·s –1 and a minimum speed equal to ω min = 133.2 s –1. The analysis of the equation (13) leads to the conclusion that the irregularity ratio depends on the maximum and minimum rotational speeds; the value of the reduced moment of inertia, among other things, depends on the moments of resistance and the driving moment. In this regard, we conducted research in terms of changing the non-uniform of rotation from the value of the reduced moment of inertia and the value of the driving moment. For the former, the change in the value of the motion irregularity is shown in Figure 5, and for the latter in Figure 6.
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