Mamatova DA* and Djuraev A
Professor Technical Science, Tashkent Institute of Textile and Light Industry, Yakkasaray, Uzbekistan
Received date: January 20,2017 ; Accepted date: February 21, 2017; Published date: February 27, 2017
Citation: Mamatova DA, Djuraev A (2017) Analysis of Changes in Tension in Leading Branch Belt Drive. J Textile Sci Eng 6:283. doi: 10.4172/2165- 8064.1000283
Copyright: © 2017 Mamatova DA, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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This paper presents method of determination in the regularity change in the branches of a belt drive with an eccentric tensioning roller. On the basis of analysis in the research results identified the recommended belt transmission parameters.
Belt drive; Tension; Roller; Extension, leading branch; Voltage; Fluctuation; The moment; Resistance, moment of inertia; Frequency; Amplitude
On a number of technological machines, in particular of small cotton cleaners litter is important in kolkova drum rotation angular speed of a variable at a certain frequency and amplitude, allowing effect intensification cotton cleaning [1,2].
In the process of transmission branches are extended on the values depend on the change of angular speeds pulleys. According to the work of the branches in the belt drive extension determined from the expression:
Where, Δσ1 , Δσ2 - changes in belt stress transmission branches PÐ°; Ð•- modulus belt, PÐ°; D1 , D2 - the diameters of the guiding and driven pulleys, mm; f- the coefficient of friction of the belt on the pulley surface; - elastic slip angle. Furthermore, lengthening pulleys branches can be determined by the angular displacement of pulleys:
Thus according to Figure 1 can be determined
Differential equations describing the motion of the belt drive pulleys are of the form
Mg- drive moment to the drive pulley shaft, M1Ðœ0 -the amplitude hesitation of the driving and disturbing moments. Decision of system (4) differential equations belt drive found in the form:
Supplying (5) with respectively, in the equation (4) we obtain the expression for determining the values the amplitudes ripple of the belt drive pulleys
When this tension will change
Then, full of tension in the branches of a belt drive get
Analysis of the results of the numerical task of the problem
Numerical solution and analysis of results in σ1 and σ2 changes implemented under the following initial values of the parameters belt drive with variable gear ratio:
R1=1,5âˆ™10-3 m; R2=2,0âˆ™10-3 m; I1=0,02 kgm2; I2=0,033 kgm2; F=2,5 sm2; σ0=22 kg/sm2; ω=0.75p; σ10=40 kg/sm2; σ20=40 kg/sm2; M0=25 Nm; E=12âˆ™102 kg/sm2; l=0,185âˆ™10-3 sm; M1=8,5 Nm.
Figure 2 shows a graphic pattern of the belt tension changes in the leading branches on the transfer at σ10=40 kg/sm2 M1=5,2 NÐ¼, M0=18 NÐ¼.
Analysis of the resulting pattern shows that the amplitude of the low component match, depending on the disturbing M0 resistance force and frequency ω, high-frequency components is dependent on the value of M1 and j.
The amplitude of the ripples reaches 0,373 102 kg/sm2, low frequency rippling occur in the range of (9,0….11)s-1. It should be noted that the value of σ10 not affect the nature of the change in time σ1 in time (Figures 2a-c). Thus, from the graphs in from the graphs show that the variation of σ1 actually is not treason. However, the amplitude changes
Where, a-before σ10=0,9⋅102 kg/sm2;
b-before σ10=0,28⋅102 kg/sm2 (1- curve); before σ10=0,33⋅102 kg/sm2
(2-curve); before σ10=0,54⋅102 kg/sm2(3- curve);
c-before σ10=0,4⋅102 kg/sm2;
1-Ðœ0=19,5 Nm; 2-Ðœ0=25,0 Nm; 3-Ðœ0=28,5 Nm.
Laws of change of tension in the leading branches of the belt drive from time to time σ1 fluctuations (Figure 2). Based on the results of processing graphics are constructed according to the changes in the leading branches of the belt M0, changes in ripple fluctuation amplitude variations at the moment of inertia in pulleys, which are shown in Figure 3a. Analysis of the relationship shows that the moment of inertia in pulleys I1=0,02 kgm2 and I2=0,035 kgm2 with an increase in the amplitude of the resistance torque values from 0,12âˆ™102 Nm before 0,56âˆ™102 Nm voltage oscillation amplitude in the lead belt branches increasing from 0,115âˆ™102 kg/sm2 to 0,38âˆ™102 kg/sm2 for nonlinear patterns.
When I1=0,050 kgm2 and I2=0,075 kgm2 Aσ1 increases to 0,785âˆ™102 kg/sm2.
It is common knowledge the amplitude of the disturbing moment increases the deformation of the belt, and by the tense Ascending. Besides the increase in the moments of inertia of pulleys in the variable driving modes lead to cyclic changes in load in the branches of a belt drive (Figure 3a). Therefore, the recommended value is I1=(0,03…0,04) kgm2 and I2=(0,05…0,06) kgm2.
Increased tension σ10 at the amplitude of the disturbing drive torque Ðœ1=12,0 Nm leads to an increase σ1max from 0,426⋅102 kg/sm2 to 1,48⋅102 kg/sm2, and Ðœ1=4,5 Nm maximum value of the voltage fluctuations in the leading branches of the transmission It comes only to 0,93⋅102 kg/sm2.
It is common knowledge that driving with increasing force values and accordingly increases the belt tension deformation particularly in the leading branch, which transmits the motion from the driving pulley to the driven (Figure 3b). Figure 4 shows the pattern of the belt voltage fluctuations in the leading branches of the transmission by varying the values of ω, j, Ðœ1 and Ðœ0. An analysis of the laws shows that with the change in the frequency of the driving values of j and the frequency ω resistance on the shaft of the driven pulley is also changed form σ1 voltage fluctuations in the leading branches of the belt drive.
At the same time with the increase in Ðœ1 and Ðœ0 increases the amplitude of the fluctuations σ1 as the high-frequency and lowfrequency components (Figures 4a and 4b). It should be noted the phase shift with increasing fluctuations σ1 j with respect to ω.
An analytical method for determining the laws of the belt voltage fluctuations in the leading branches of the belt drive with tensioning roller. Substantiates the numerical values of the parameters in the belt transmission.