Studying Interaction of Cotton-Raw Material with Working Bodies of Cotton-Cleaning Machines

Transcription

1 ISSN: Iteratioal Joural of AdvacedResearch i Sciece, Egieerig ad Techology Vol. 5, Issue, Deceber 8 Studyig Iteractio of Cotto-Raw Material with Workig Bodies of Cotto-Cleaig Machies R.H. Rosulov, DVNorboeva, NR Djurabekova, * M.Abduvokhidov Associate rofessor of the Departet of "Techological Machies ad Equipet" Doctoral studet of the departet "Techological achies ad equipet", Assistat of the departet "Techological achies ad equipet" Tashket Istitute of Textile ad Light Idustry, * Associate rofessor of the Departet "Techological Machies ad Equipet", Naaga Egieerig ad Techology Istitute ABSTRACT: The article presets the elastic-plastic iteractio of raw cotto with the workig orgas of cotto giig achies. The iu deforig force ad the iu collisio rate of the fly with the grate are experietally deteried. KEYWORDS: physical bodies, raw cotto, cotto cleaer fro large litter, grate, seed daage. All real physical bodies have both elastic ad plastic properties. Raw cotto also acts as a elastic as well as a plastic body durig ipact. It should be oted that there are a uber of studies o the iproveet of desigs ad ethods for calculatig the graters of cotto cleaers fro large litter []. Let us cosider the process of blowig a fly about the grate takig ito accout the elastoplastic properties of cotto. We assue that the deforatio of the volatility has a elastic-plastic character. Accordig to Gerster's epirical law, the local deforatio α cosists of a elastic ad plastic copoet that develops uder loadig idepedetly of oe aother. We assue that the elastic strai obeys the Hertz law, while the plastic deforatio depeds liearly o the cotact force. Whe loaded, the deforatio equatio has the for Whe uloadig b x, () b x () where b ad, are the coefficiets characterizig the elastic deforatio; - the curret shock load; is the iu shock load. We cosider the solutio of this proble without takig ito accout the wave oscillatios, sice we are aily iterested i the chages occurrig i the vol- ue, ad the diesios of the volatility are sall. It is usually assued that the wave ature of the processes is eglected if the total duratio of the ipact is several (5-8) ties greater tha the tie of travel of the elastic wave alog the body. I our case, the total duratio of the ipact is hudreds of ties greater tha the travel tie of the elastic wave alog the volcao. Equatios of otio of collidig bodies will have the for d X dv d X dv (3) Copyright to IJARSET 75

2 ISSN: Iteratioal Joural of AdvacedResearch i Sciece, Egieerig ad Techology Vol. 5, Issue, Deceber 8 where X, ad X - the otio of the ceters of the fly ad the grate; V, ad V-velocities fro collidig bodies. X X (4) Differetiatig equatio (4), we obtai V V V, (5) where V is the speed of flyig relative to the grate. Fro the above equatios, we ca forulate the followig deforatio equatio dv d M (6) where is the reduced ass of the collidig bodies; M - ass of flyig; - ass of the body. The displaceet of the ceters of the volatility ad the grate durig the ipact is equal to the deforatio of the fly (the stiffess of the grate is uch higher tha the rigidity of the fly, so the deforatio of the fly will be uch greater tha the deforatio of the workig eber, ie, X << X). The ipact process is divided ito two stages. Durig the first (active) stage of ipact, the cotact force icreases, ad deforatios i the cotact zoe of collidig bodies are of a elasto-plastic character, i.e. Durig the active stage of ipact, the bodies are loaded. I this case, the ceters of the collidig bodies approach each other. Durig the secod (passive) stage, the bodies are uloaded, i.e. the restoratio of elastic deforatios, ad the distace betwee the ceters of iertia of collidig bodies icreases, the cotact force decreases, ad as soo as it becoes zero the cotact of collidig bodies will fail. Let's cosider each stage separately: a) active stage of ipact. Substitutig i (6) the expressio for elastic deforatio b, (7) we get Iitial coditios: whe dv d M / V / (8) t,, V V. Itegratig equatio (8), we obtai V V (9) / MV b Fro here we ca fid the iu value of elastic-elastic deforatio, which is achieved at V = Where E MV / / b Eb () V reduced kietic eergy of collidig bodies Copyright to IJARSET 753

3 ISSN: Iteratioal Joural of AdvacedResearch i Sciece, Egieerig ad Techology Substitutig (9) ito (), we obtai Locatio V t Vol. 5, Issue, Deceber 8 d V V () () X We itroduce the diesioless paraeter (3) which varies withi.. The expressio (3) has the for Itegral I,, V t X X I ca ot be expressed i ters of eleetary fuctios because the paraeter is arbitrary. But with =youcafiheexactsolutio I, X X dx 4) (5) those. we obtai a beta fuctio whose solutio has the for I Г Г, 3 Г (6) Takig ito accout the well-kow property of the gaa fuctios we obtai (fort ) Ã X I XÃX, (7) V I, F Substitutig here the well-kow expressio of iu stregth b (8) (9) Copyright to IJARSET 754

4 ISSN: Iteratioal Joural of AdvacedResearch i Sciece, Egieerig ad Techology Vol. 5, Issue, Deceber 8 we get F M V F. () The values of the fuctios F () ad F () are give i the literature []. Sice», we obtai M. () Let us deterie the iu velocity of the collisio of the fly with the grate V F Expressio () allows us to deterie the iu velocity if the reaiig ters of the expressio are kow. he collisio tie ad ass of the volatility were deteried by us earlier [3]. The values of the fuctio F () deped o. The value of was deteried i [4]. If =, secods; =. kg; is.3; the F () =.88. It reais oly to deterie the iu deforig force. Experietal deteriatio of the iu deforig force. The iu deforig force is the force that, whe applied to flyig, the deforatio of the seed of volatility will be iu. A further icrease i stregth leads to the destructio of the seed. Sice the force depeds o ay physicoechaical properties of cotto raw cotto, it ca ot be deteried theoretically. Therefore, the value of the force is deteried experietally. The experiet was carried out o a special bech cosistig of a screw rod, a elastic eleet, two idicators accordig to the followig procedure: The cotto raw cotto loaf was istalled o the elastic eleet ad loaded with a screw rod. Oe idicator showed the value of the load, ad the secod - the deforatio of the volatility. Letuchka loaded util the destructio of the seed. The force at which the seed is destroyed is fixed. Durig the experiet 5 seeds were destroyed, the frequecy was deteried by the aout of destroyed seeds. Assuig that the depedece of seed daage o the loadig force obeys the law of oral distributio, calculate the theoretical frequecy of seed daage i each load force iterval ad the total uber of daaged seeds. Substitutig the agitude of the destructive force i equatio (), the speed of the volatility at which the seed is daaged is deteried. The results of the experiet, processed by ethods of atheatical statistics, are give i Table. Table robability of seed daage depedig o the speed of the fly. Speed, Itervals of the The frequecy of The frequecy of The theoretical correspodig to robability of seed stregth, daage to seeds daage to seeds uber of the force of the seed daage,% N (expert) (theoretical) daaged seeds load / s - 3,5, ,9, ,4,8 () Copyright to IJARSET 755

5 ISSN: Iteratioal Joural of AdvacedResearch i Sciece, Egieerig ad Techology Vol. 5, Issue, Deceber ,9 6, ,4 3, ,8 3, ,3 36, ,8 5, ,3 66, ,7 78, , 88, ,7 94, , 97, ,6 99, , 99, ,6, As ca be see fro the table, eve at a velocity V = 3.5 / s, the daage to the seeds will be about.%, at a velocity V = 6.9 / s about -.%, ad at a speed of /.8%. With further icrease i speed, the daage quickly icreases. Nevertheless, to obtai a % daage to the seeds, a speed of ore tha 55 / s is required. I coclusio, it should be oted that the quatities, give above are averaged. For a ore accurate deteriatio of the perissible speed of the workig orgas of cotto giig achies whe liitig the daaged seeds, it is ecessary to clarify the above paraeters for each variety ad raw cotto grade, takig ito accout its oisture cotet CONCLUSION. Daage to raw cotto seeds occurs at ay speed of the workig orgas of cotto giig achies, but its itesity at low speeds is isigificat, ad icreases with speed.. To deterie the perissible speed of the workig bodies of cotto giig achies, it is ecessary to deterie the values,, for each variety ad raw cotto grade, takig ito accout its oisture cotet. REFERENCES. Fuk, A.ual, Wajura, D.Joh.Cotto seed uloadig systes. Joural of Cotto Sciece Vol., Issue, pp. 5-59, published 7.. Groyko G.L. Statistics. ublishig house of Moscow Uiversity, 98.fro Fazylov S. Techological paraeters of cotto wool cleaers fro large weed ipurities with adjustable grate asseblies. Diss. Cad. Sc. Tashket Burashev RZ Theoretical foudatios of the techology of cotto raw cotto cleaig, Diss. Doctor of Techical Scieces, Kostroa, 985. Copyright to IJARSET 756