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Modeling of dynamics of movement of fibres ulyuk a clap on a forward side of a tooth saw the cylinder of gin of the second step
In effort to settle the above specified formula and the curve-lined external let's substantiate dimensions of curve-lined external of the blade laterals, which has curve lined externals, mounted inside the drum of mobile shelling installation; in a purpose to form a curve-lined external by means of integral graphics method let's divide into parts the second order differential formula. As obtained calculations show that the curve-lined external of the blade laterals that means the externals of left side lateral radials are equal to R1 = 1601.0 mm., R2 = 339.0 mm., R3 = 159.02 mm.; R4 = 186.84 mm. and R5 = 601.5 mm.; the slope angles a1 = 24° 28', a2 = 27° 09',
a3 = 31° 49', a4 = 27° 08' and a5 = 31° 49'; the length Lh = 552,4 mm.; as above said the right side lateral is in the same formation with the drum wall and its length is unchangeable i. e. — Ll = Lh
Thus the blade having curve-lined externals formed by means of applying the integral graphics method ofthe second order differential formula is used to implement shelling of the agricultural seeds being treated at the shelling installation by not facing it to the powerful affection facilitates to changing its action at certain angle degrees. And in its turn it outcomes in the growth of efficiency in shelling process of the agricultural crops grain seeds at the shelling installation.
References:
1. Patent Rep. Uzb.: № 1015837. Ways ofbeardy cotton plant seeds coating/Sh. I. Ibragimov and others//B. I. - 1983. - № 17.
2. Yesirkepov B. Clarification of technologies and substantiating the parameters of the pelletizing machine beard cotton plant seeds: Synopsis of thesis ...Candidate of Sciences. - Yangiyul, 1995. - P. 17.
3. Patent Rep. Uzb.: № 1510745. Device for seeds pelletizing machine/N. Rashidov and others//B. I. - 1989. - № 36.
4. Piskunov N. S. Differential and integral calculus. In two volumes. - M.: Science, 1985. - 560 p.
Sobirov Ilxom Qaxramonovich, teacher of the Department "Theoretical and applied mechanics" Tashkent Institute of Textile and Light Industry, the Republic of Uzbekistan E-mail: [email protected]
Parpiyev Azimjon Parpiyevich, technical sciences associate, professor of the Department "Theoretical and applied mechanics" Tashkent Institute of Textile and Light Industry, the Republic of Uzbekistan E-mail: [email protected]
Djuraev Anvar Djuraevich, technical sciences associate, professor of the Department "Theoretical and applied mechanics" Tashkent Institute of Textile and Light Industry, E-mail: [email protected]
Modeling of dynamics of movement of fibres ulyuk a clap on a forward side of a tooth saw the cylinder of gin of the second step
Abstract: In article the technique of drawing up and the analytical decision of dynamics of movement of fibers ulyuk a clap on a forward side of a tooth saw the cylinder of gin of the second step is resulted. The analysis of movement of fibres ulyuk a clap from the cores system parametres is given.
Keywords: A clap, ulyuk, dynamics, movement, force of coupling, a friction, weight, frequency, amplitude.
In process fiber branch taking into account recycled ulyuk at dragging fibers ulyuka teethes saw the cylinder it is necessary for second step to overcome force of a friction between a fibre and weight raw chambers which depends basically on its density. If fibers ulyuk moves on a saw tooth, they will drop out of it what to lead to fibre returning uluk in raw the chamber at the expense of its small density. Therefore it is necessary to create sufficient force dragging fibers ulyuk. Thus force dragging fibers ulyuk from raw chambers of gin of the second step should be less, than force of breakage of fibers [1].
It is necessary to notice, that at dragging fibers ulyuk, fibers can move on a forward side of a tooth saw the cylinder. If movement of fibers aside to tooth top fibers it will not be pulled out from raw
chambers. Dragging can be only at motionless position or movement of fibers towards the basis of teethes saw the cylinder. Therefore theoretical studying of movement of fibers ulyuk on a forward surface of a tooth raw the cylinder is important.
On fig. 1 the settlement scheme of capture and dragging by a tooth saw the cylinder offibers ulyuk in saw gin of the second step is presented. For a conclusion of the equation describing movement of fibers ulyuk on a forward surface of a tooth saw of the cylinder it is accepted following assumptions: fibers ulyuk to consider as the concentrated weight; movement to occur only on a forward surface of a tooth; in a kind in comparison with other forces aerodynamic force without taking into account; saw the cylinder rotates with constant angular speed.
Section 10. Technical sciences
Fig. 1
Let's consider movement of fibers ulyuk on a surface of a forward side of a tooth saw the cylinder at influence on fibers ulyuk following forces:
G - force of weight of fibers ulyuk; F - force of inertia; Fs - centrifugal force; Frr - force of communication of a fibre with raw the chamber or force of resistance dragging fibers; Fbr - carioles force; F - force of a friction of a fibre on a lobby edge a tooth saw the cylinder; Fr - force of reaction of a tooth on influence of fibers ulyuk. Taking into account a condition of balance of fibres ulyuk on a surface of a forward side of a tooth saw the cylinder taking into account principle Dalamber [2] it is possible to write down:
ma = G + F + F + F + FГ + F, (1)
s sr kor fr r ' V /
where, m — the resulted weight of fibers ulyuk; а — acceleration of fibres ulyuk on a forward surface of a tooth saw the cylinder. The lobby гран a saw tooth, is a plane.
Therefore movement of fibers it is considered on axes Х and At. Projections (2) on an axis of coordinates Х and At we will receive in a kind:
mx = X(Fx ! + Fx 2 + Fx 3 +... + Fn );
i
my = X (F i + F 2 + F 3 +... + Fyn )
(2)
where, F,, FF „...F and F,, FF „...F — accordingly pro' x\' xL' x5' xn y\' yL' y3 yn O / L
jection operating forces on axis X and At.
Thus we will write down the equations of projections of forces operating on fibres ulyuk on a forward surface of a tooth:
mx = G cosy-Fr - Fs sin ¡3-Fr cos£;
V3/
my = G sin y — FKor - F cos 3 - Frr sin£ + Fr, where, y = a>t — a corner between a vector of force of weight and axis X; /3 — a corner between a vector of force of communication of fibres ulyuk with weight raw chambers or forces of resistance dragging with an axis At; £ — a corner between a vector of centrifugal force with axis X.
Operating forces are defined from following expressions G = mg; Fr = ma>2(R-x); F dr = fFr; Fr = (pVg + Fu\); FKor = Lmaxcos0.
Fibres ulyuk cannot be to move on an axis At as link between a fibre and a saw tooth is thus broken. Therefore we accept following conditions: y = 0 ; y = 0 ; y = 0.
(4)
From the second equation (3) we define force of reaction Fp and taking into account the condition set forth above and substituting it in the first equation (3), carrying out some transformations we will receive:
x + 2 f cox cosO - (cos£ - f sin£)©2x = g(cosct + f sin cot) -
2 1 (5)
-c R(cos£ + f sin£)--(pVg + Fj(cosx + f sinf).
m
The decision (5), describing movement of fibres ulyuk on axis X on a tooth surface saw the cylinder consists of two parts:
x = x1 + x 2. (6)
The decision for the left part of the equation (5) finds in a kind: x = c+ c2eht. (7)
Factors k1 h k2 it is defined according to [3; 4] by the decision of the equations:
k2 + 2 fa>k - (cos£ - f sin£)©2 = 0;
k12 = -fa f 2a>2 + (cos£- f sin£)©2.
The received expression (8) substituting in (7) we will receive:
U f2 +(cosi-f sin^ffl2 - f la -at U f2+(cosi-f sml;)a2 + f 1
x 1 = c 1eL J + c2e L J. (9)
From (6) decision of a root x2 it agree techniques resulted in [4] it is defined in a kind:
x2 = A cos©t + B sin©t. (10)
Taking twice derivatives from (10) it is had:
x = -coA sin cot + aB cosat; . .
2, 2 • (11) x = -co Acosat-a Bsinct.
We substitute (11) in (5) and it is defined corresponding factors:
-c2 A cos cot - co2B sin cot - 2 f co2 sin cot + 2 fa>2B cos cot -
-(cos£ - f sin£)©2A cosct - (cos£ - f sin£)©2B sin cot =
= g (cosct + f sin cot) -a>2t - (cos£ + f sin£) -
-—(pVg + Fj(sin ¡3+ f cos ¡3). m "
Comparing factors in (12) we will receive the following system of the equations:
-a>2 A + 2 fa>2B - (cos % - f sin £ )©2 A = g; -a>2Bsin cot - 2 fa2 A - (cos £ - f sin £ )c2B = fg. Here accordingly factors and in are defined from expressions: g (1 + cos£- f sin£) - 2 f 2g
(12)
A = -
B =
CO2 (1 + cos£- f sin£)2 + 4 f V (1 + cos^ - f sin^)v2A - g
2fC '
(13)
Private the decision of the equation (5) describing movement of fibres ulyuk on a surface of a tooth of a saw we will receive in a kind:
g (1 + cos£- f sin£) - 2 f 2g 5 * J ^ J 5 -cosrnt +
(14)
x =-
CO2 (1 + cos£- f sin£)2 + 4 f V (1 + cos^- f sin^)v2A - g .
2 f v2
-sin at.
Thus the decision for the left part (5) and the private decision (14) develop, which define the problem common decision the law of movement of fibres ulyuk on axis X on a forward surface of a tooth saw looks like the cylinder:
[V f2+(cos^-f sin^)rn2 - flmt -at Г^ f2 +(cos^-f sin^)rn2 + Л
x = c1eL J + c2e L J +
g (1 + cos£- f sin£) - 2 f 2g +-5—--—Чт-т cosat +
a2 (1 + cos £ - f sin £ )2 + 4 f a (1 + cos£ - f sin£)a2A - g
(15)
2fa2
sin at.
Definition of movement laws of winging and milling drums of the unit for processing of soil and crops of seeds
Taking into account entry conditions at t = 0, x = 0, x = 0 it is possible to define integration constants c1 and c2:
g (1 + cosg- f sing)-2 f 2g
c + c„ +-
®2(1 + cosg- f sing)2 + 4 f V (1 + cosg - f sing)®2A - g
- cos at -
-sincot -
R -
2 f a2
(pVg + Fm,i)(sin ß+ f cos ß)
= 0;
(cos g - f sing)ma ®\c¿Jf2 + (cosg- f sing) - f ) + c2^f2 + (cosg- f sing)) (1 + cosg - f sing)®2 A - g
2 f a2
R -
- = 0;
(pVg + Fm»i)(sin ß+ f cos ß)
(cosg - f sing)ma2
c - g(1 + cosg-fsing)-2f2g
2 a2(1 + cosg-fsing)2 + 4fV
(1 + cosg- f sing)®2 A - g .
---5—--—-- sin at ;
2 f a1
g - (1 + cosg - f sing)®2A
cosat -
1
2f
R-
4 f V
(Pvg + F„P1)(sin ß+ f cos ß)
(cosg - f sing)ma g (1 + cosg- f sing) - 2 f 2g
®22(1 + cosg- f sing)2 + 4 f2®2
cosat +
(16)
(1 + cosg - f sing)a2A - g
sin at !> x
R -
(pVg + FmJ(sin ß + f cos ß)
(cosg - f sing)ma g (1 + cosg- f sing) - 2 f 2g
a1 (1 + cos g - f sin g )2 + 4 f 2 a (1 + cosg - f sing)a2A - g
cos at -
+ [
2 fa2
g - (1 + cosg - f sing)a2A
sin at S e
IV f 2+(cosg-f si
1
2f
R-
4 f 2a3
(PVg + FTP1)(sin ß+ f cos ß)
(cosg - f sing)ma g (1 + cosg- f sing) - 2 f2 g
(17)
a22 (1 + cos g - f sin g )2 + 4 f2a2
cos at -
(1 + cosg- f sing)a2A - g . +--5— .„ „ -- sin at
4 f a
f2 +(cosg- f sing ) - f )]e + g (1 + cosg- f sing) - 2 f 2g a2 (1 + cos g - f sin g )2 + 4 f2a' (1 + cosg - f sing)a2A - g
-at f,/ f 2+(cosg-f sing )a2+f \
-cosat -
2fa2
sin at.
The analysis shows, that process dragging fibres ulyuk a tooth saw the cylinder from raw chambers saw fibre branch the second step occurs basically in the absence of movement of fibres on a surface of a tooth of a saw, at x = 0, x = 0; x = 0.
The law of movement of fibres ulyuk on a forward side of a tooth saw the cylinder has in the cores oscillatory parametre with frequency wt and amplitude, depends, a set of values of weight of a bunch of fibres ulyuk, factor of a friction and a corner of an arrangement of fibres concerning an axis saw the cylinder. Problem decisions it is numerically possible to define necessary conditions of weight in saw gin of the second step.
4 f V
x^ f2 + (cosg- f sing) - f). Delivering values c1 and c2 in (15) we will definitively receive expression describing movement of fibres ulyuk on a tooth surface saw the cylinder.
References:
Zikirjaev E. Z. Is primary clap-raw processing. To publish. Mehnat. - Tashkent, 1999. - 398 p. Dzhuraev A., etc. The Theory of mechanisms and cars. To publish. G. Guloma. - Tashkent, 2004. - 592 p. Bat M. I., etc. The Theoretical mechanics in examples and problems. To publish. A science. - M., 1964. - 664 p. Sobirov K., Dzhuraev A. Calculation of force of a friction of seeds about a grid-iron saw Z//Vestnik's TSTU gin, Mechanical engineering. - Tashkent, 2007. - № 2. - P. 88-91.
Djuraev Anvar Djuraevich, technical sciences associate, professor, Tashkent institute of textile and light industry, Uzbekistan E-mail: [email protected] Turdalieyv Vohidjon Maxsudovich, candidatefor technical sciences, Tashkent institute of textile and light industry
E-mail: [email protected] Qosimov Azamjon Adixamjonovich, senior scientific employee-researcher, Namangan Engineering Pedagogical Institute, Uzbekistan
Definition of movement laws of winging and milling drums of the unit for processing of soil and crops of seeds
Abstract: In article the settlement scheme and mathematical model of five-mass system of the combined unit for processing of soil and crops of seeds are resulted. On the basis of numerical decisions of system of the differential equations laws of
