CC BY
7
Igamberdiev AnvarjonUktamovich, the Andijan Agricultural Institute, job seeker-researcher, Abdulkhaev Khurshed Gafurovich, PhD., in technical science, the Research scientific institute of mechanization and electrification of agriculture,
Republic of Uzbekistan E-mail: [email protected]
STUDY OF THE PROCESS OF CREST FORMATION BY THE RIDGES-SHAPERS OF A COMBINED AGGREGATE FOR MINIMUM TILLAGE
Abstract: The article presents the results of theoretical studies of the formation of ridges by working bodies in the form of serial disks.
Keywords: combined unit, spherical discs, disk diameter, radius of curvature of a disk, the working surface of the disk, crest, soil particles, particle motion, angle of installation, travel speed.
In the combined aggregate for minimum soil cultiva- The particles of soil interacting with the discs after passing
tion [1,2] spherical disks are used as ridges and each crest is from them pass to a free flight with the initial velocity VA and af-formed by two oppositely mounted discs. ter a while, falling on the surface ofthe soil, form a crest (Fig. 1).
Figure 1. Scheme formation crest with spherical discs
Based on the known rules of theoretical mechanics [3],
we write
^ +V2 + V2
(i)
where V, Vy and Vz - proj ections of the initial particle velocity VAon the coordinate axis X, Yand Z. From the scheme given in (Fig. 2)
VX = Vn - Vj (cos^>T sinar cos ft - sin^>T sin ft)-
T >
-V ^ cosaT cos ft
Vy = Vj (sin (T cos p + cos(T sin aT sin p) +
T '
+Ve cos aT sin p Vz = VeT sinaT - VrT cos^>T cosaT, where Vn - forward speed of the disk (unit), m/s;
(2)
(3)
(4)
VT - the relative velocity of the particle at the moment of leaving the disk, m/s;
Vj - portable velocity of the particle at the moment of
leaving the disk, m/s;
ft - angle of installation of the disc relative to the direction of motion, degree;
fT - central angle of the disk, degree; aT - the angle of rotation of the disk with respect to the vertical axis at the moment of the particle's descent from its working surface, degree.
Based on earlier studies [4]
STUDY OF THE PROCESS OF CREST FORMATION BY THE RIDGES-SHAPERS OF A COMBINED AGGREGATE FOR MINIMUM TILLAGE
n
Figure 2. Scheme for determining the velocity components VA along the X, X and Z coordinate axes
VT = i —e
+V2R- cos2 p
2 f (( —arcsin(R IR )
6 fgR
f
cos fa cos aT + 2gR
sin 2fa0
R
— sin fa
(l + 4 f2)
6 fg^R2 — R
\
l — 2 f
v 1 + 4 f 7
f
sinfa0 cosaT +
+v;—cos2 p R
1 + 4 f2 2R^R2 — R2 f R
cos aT + 2gRd
2
v
1 — 2 f 1 + 4 f
(5)
fR2
R
Vj = vn cos P ;
coséT = —-;
TR
• , R,
smq>T = —.
Vx = Vn -<~e
R
2 f (fa0-arcsin(R IR )
(6) where R - disk sphere radius, m;
Rg - radius of the disc, m.
(7) Taking into account expressions (5-8), expressions (2) -
(8) (4) have the following form
sin 2fa0
- sin2 fa0
6 fgR
(l + 4 f2) 6 fg^R2 - R
sin fa cos aT + 2gR
r1 - 2 f2 ^ 1 + 4 f
R
cos aT + 2gR£
1 - 2 f2 1 + 4 f2
sin fa cos aT + Vn —2 cos P R2
2R^R2 - R2 f R
fR2
R
1 + 4 f
1
rjR2 - Rl R.
—-sina cos P--- sin P
R T R
t 7-2 R 2 n
cosaT + Vn —cos p R2
(9)
- Vn cos aT cos2 P;
2
2
2
= ^ —e
2 f (( —arcsin(— IR)
6 fgR
cos^>0 cos aT + 2gR
sin 2$,
~T
— sin ^
(1+4 f)
4 fgyjR2 — R
— 2 f2 ^ 1 + 4 f2
sin^>0 cosaT + V"n2 cos2 ß R2
1 + 2 f
cos aT + 2gR.
1 +
4f
2
1 + 2 f
+ V2 —— cos2 ß R2
(10)
and
2R^R2 — —2 f R
fR2
R
1
J— 2——
— • cos ß +—-sin a sin ß
R R T
J
+ — Vn sin2ßcosaT
VZ = Vn cos ß sin aT —<—e
sin j0 cosaT + Vñ2—2 cos2 ß R2
n(—IR)
6 .^R
(1 + 4 f2)
cos j0 cos aT + 2gR
- 2 f2 ^ 1 + 4 f2
sin 2^0 . 2 , -0 - sin (j)0
6
- —2
1 + 4 f2
- cos aT + 2g—
1+
4f
2
1 + 2 f
cosa + V2 —- cos2 ß
T R2
2R^R2 - —2 f R
fR2
R
.VR2E—
R
-cosa
(11)
In accordance with the scheme shown in Fig. 1, that the particles coming from the disks form a qualitative comb, the following condition must be satisfied
B - 2Dg sin PsinaT (12)
2
where y - is the distance in the transverse direction of the soil particles descending from the disks, m;
B - transverse distance between ridges, m;
Dg - diameter of the disc, m.
When the condition (12) is fulfilled, the particles of soil that come down from the discs fall into the middle of the distance between them and the crest is formed due to soil shedding at the angle of the natural slope. As a result, a stable and high-height ridge is formed.
Constructing and solving the equations of motion of particles coming off the disks in a plane perpendicular to the direction of motion, we obtain
Vz VZ + 2Hg
where H - height of the particle, coming down from the disk, with respect to the field surface, m.
Taking into account the scheme in (Fig. 2), we obtain
H = Rd (1 - cos aT)-h. (14)
Taking this into account, expression (13) has the following form
■f
y = V,
Vz+J V2 +
2[R.(1 -cosaT)-h g
(15)
y = V.
2g
(13)
Taking into account expressions (10) and (11), from the analysis of expression (15) it follows that, that the distance of the particles of soil, coming down from the disk, and the fulfillment of condition (12) depends on the diameter of the disk, the radius of curvature and the angle of its installation with respect to the direction of motion and the speed of movement of the unit. The qualitative formation of the ridge at a given speed and the parameters of the discs is achieved by changing the angle of installation of the discs relative to the direction of motion.
References:
1. Khudoyorov A. N., Mamadaliev M. Kh., Mirzaev H. A. Combined aggregate for minimum tillage // Scientific and technical journal of the Ferghana Polytechnic Institute.- Ferghana,- 2006.- No. 4.- P. 59-61.
2. Boymetov R. I., Tukhtakuzyev A., Khudoyorov A. N., Mamadaliev M. H., Egamberdiev A. U. The technology of minimal tillage and a combined unit for its implementation // Scientific foundations for the development of cotton-growing and grain-growing farming: A collection of materials of the International Scientific and Practical Conference.- Tashkent,-
2006.- P. 169-170.
3. Ermakov B. E., Asriyants A. A., Borissevich V. B., Koltsov V. I. Theoretical mechanics.- Moscow, Rotaprint MADI (GTU),-
2007.- 345 p.
4. Tukhtakuzyev A., Khudyorov A. N. Theory of motion of soil particles along the working surface of a spherical disk // Agroilm.- Tashkent,- 2007.- No. 4.- P. 35-38.
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