THE CENTRIFUGAL TYPE MINERAL FERTILIZERS SPREADER

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1 Kobets А. Numenko N. Ponomrenko N. Dnipropetrovsk Stte Agrrin-Economic University Yropud V. Vinnytsi Ntionl Agrrin University Кобець А.С. д.з держ. упр., професор Наумено М.М..т.н., професор Пономарено Н.О..т.н., доцент Дніпровсьий державний аграрноеономічний університет УДК (88) 08 THE CENTIFUGAL TYPE MINEAL FETILIZES SPEADE The scientific foundtions of justifiction of technologicl prmeters for centrifugl type minerl fertilizers spreders. It is founded out one of the possible resons of the uneven dispersion of fertilizers by centrifugl type spreder. Simplified for engineering ppliction formuls re derived, mking it possible to justify the construction of fertilizer spreder disk tht is gurnteed improves dispersion. Technicl mens re creted nd implemented into production. Key words: fertilizing, fertilizers, lloction qulity, effectiveness of mchines, spreder prmeters, working modes. Яропуд В.М..т.н., старший виладач Вінницьий національний аграрний університет Introduction. The uneven distribution of nutrients by surfce of fields ffects crop yields. The development of fertilizers fvorble primrily in direction of improving the efficiency of fertilizing by improving the qulity of their distribution by soil surfce.more thn 90% of modern fertilizers re equipped with spreding centrifugl working bodies tht successfully pplies grnulr nd crystlline fertilizers nd chemicl meliornts. Fertilizers must pply them ccurtely (evenly). Nowdys some prmeters of fertilizing re too big, so uneveness by working width with mchines of domestic production reches 60-80%, wht reduces the efficiency of fertilizers.thus, the justifiction nd design prmeters of the centrifugl working body for fertilizers is n ctul tsk [3-5]. Literture dt nlysis. P. Vsilenko ws recognized s founder of the centrifugl type spreders theory by lw. Lter theoreticl studies were conducted by V. V. Admchuk, E. V. Kozlovsky, Dohonovskyy M. G, M. K. Shtukov,. M. Hilis, V. F. Yroshenko, S. I. Nzrov. Among the ltest fundmentl nlyticl reserch ttrctes the ttention works of V. V. Admchuk, V. M.Bulgkov, P. M.Zik, S. F.Pylypky. An importnt contribution to science in sphere of the development nd implementtion of centrifugl type minerl fertilizers ws mde by S. I. Volosnykov, S. F. Bbryk, V. N. Dydy, L. I. Letkovskyy nd others. Anlyticl reserch of centrifugl spreders working body sowing process. The process of grnules distribution by surfce of field hs multifctoril probbilistic nture. It is influenced by: norml distribution coefficient of windge, logrithmic lw of dependnce of on flight distnce from windge coefficient, trnsltionl motion of the unit lw s whole. Superposition of these lws gives the finl picture of the distribution of fertilizers by the surfce. In generl, the lw cn not be norml. But if sufficiently lrge number of options for strting coming-off of grnules from the surfce is provided, from the point of view of probbility theory, this lw will be closer to norml. Grphicl interprettion of this provision is shown on Fig.. 3

2 (88) 08 Fig.. Grphicl interprettion of superposition of lws of fertilizers distribution by surfce of field in presence of one () two (b) nd three (c) coming-off points from surfce of the disc - single distribution lws; - re of norml distribution. As seen from the bove, the usul mount of single distribution lws llows to receive res close to the norml distribution. Therefore, it is necessry to provide coming-off of multiple strems of grnules with different initil velocities, preventing flow crossing during flight. As nlysis of the process of fertilizing showed [,8-0], centrifugl type spreders cn provide more dense sowing by the edges of coverge.to improve eveness, construction digrm is proposed (Fig. ), which provides vrious initil conditions for grnules escpe from ech of three edges plced onfour blded disk. In ccordnce with the ccepted disk construction, scttering scheme provides tht the width of the treted re, where fertilizers pply, divided into three prts. Ech edge on the blde should pply fertilizer on the territory ssigned to it. In order for this hppens, it is necessry to determine the length of ech edge, nd the it position on the blde. Let us ssume tht gol will be chieved if the grnules on the middle edge will gin escping velocity enough for sowing re with width /3B, nd with short edge - /3B. Velocity ddition theorem is usedto determine the escping velocity of fertilizer from edge, which strts t n rbitrry distnce from the center of disk. V V r V e, () where the reltive velocity long the guiding edge; trnsient velocity, which for escping from disk fertilizer determined by known ngulr velocity ω of disk nd edge length l s V e l cos The reltive speed cn be found by the theorem of chnging of kinetic energy in reltive motion from formul[6] mv mv0 AFe AFтл AFтр AP, () whereа(f е) work of trnsient force of inertif еon moving long the edge; А(F тр) work of the friction force tht occurs on the surfce of the blde becuse of force ctionf еnd fertilizer weightр;а(f тр) work of the friction force tht occurs on surfce of the verticl edge from the Coriolis force of inertif сnd trnsient force F е;а(f е) work of weight force;v0 initil reltive velocity. Work of trnsient inertil forces on movementldefines s ін F m а. А e (3) Friction force on the surfce of bldef тлdetermined through the norml rectionn, which is due fertilizer weightрnd trnsient inertil forcef ін е N ін Pcos F e sin sin.. 33

3 (88) 08 x Thn F тл f mgcos m r cos sin fmg cos xcos sin, r Where f friction coefficient. Work of the friction force on the surfce of bldeа(f тл)defines s F fmg а fm а sin / cos. 34 A тл (4) Friction force on the edge surfce is defined s F f mv cos m (5) Work of this force is defined s тр. r l l тр fm Vr cosdx fm dx. A F Assuming tht initil reltive velocityv0=cosforа(f тр) we will get A 0 (6) F fm cos V а fm а / cos. тh Work of weight forceр defines s А(Р) = -mgl sin. (8) Substituting expressions (3), (4), (7), (8) into formul () we will get mv mv 0 fm m а fmg а fm а а cos V а fm а / cos mgl sin. 0 (7) sin / cos (9) If into the lst expression substitute distnce from center to the first edge (а = а), we will get mv m cos m а fmg а fm а sin / cos fm cos а fmv а fm а cos Where for the reltive velosity on escping from the long edge you cn get c cos fg mgl sin. V c c, (0) c с f а where, cos f а а f sin / cos а Then definition of bsolute velocity is: V f а / cos gl V cos V sin, 0 r sin. () where0 ngle of fertilize escping; V cos0 projection of escping velosity on horizontl plne; V rsin0 projection of escping velosity on verticl plne. Thn for escping ngle we cn get rccos These formuls llow to justify some constructionl chrcteristics of the spreder. Clcultions re mde by the following initil dt: ngulr disk velocity ω = 57,6rd/sec; disk rdius = 0,3m; blde inclintion ngle α = 0,536 rd; friction coefficient of fertilize by the blde surfcef = 0,35. V cos V V V cos cos / V. 0 r 0 e e r () Anlysis of possible options of constructions of centrifugl working body for fertilizing llowed to ccept spreder scheme, construction of which involves formtion rrngement of grnule flows when loding. To perform the tsk working body scheme is proposed Fig.. Spreder consists of disk 7, four bldes

4 (88) 08 (sectors 4), ech of which is formed by two bldes whose side wlls re formed by verticl edges nd bottoms re inclined t ngles αnd α to horizontl disk surfce. Ech edge ( 3) is perpendiculr to the common line of intersection bldes bottoms nd disk plne (t Fig. directions of ech edge mrked with nglesγ, γ, γ3ccordingly). In the center of the disc there is conicl feeder 4, interior spce of which is divided onto seprte sectors by rdil verticl pltes (6 0). Ech plte t the bottom prt goes beyond the feeder on edge height nd by bottom prt ttched to horizontl centrl prt of the disk. The lterl end of protruding from the feeder prt (conicl) is connected to the curviliner section of the edge, which is plced on the horizontl plne of the disk. In the sme wy edge 3 is connected to the protruding side end of the plte 8, nd edge with 9. In ech qurter of the centrifugl working body where the working blde is, feeder divided into four sectors by pltes. Three of them workble, through two bldesfertilizer fll on upper disk, nd on the second sector ccounts 53,6 % mount of fertilizer from first, nd onto the lst third the lest,4 % of the sme mount. From this sector fertilizer flls onto disk 5, which is situted lower on 60 mm from the upper which is provided by cup 5, on which re plced perpendiculr one to ech other guiding edges 6. One of feeder sectors closed from bove (fig., shded). Sectors res re ssigned proportionl to the expenditure of mteril which flls on ech edge. The mteril getting into the sectors flls on the horizontl surfce of the disc from which, moves between the curved portions of edges gets to the inclined bldes. Fig.. Constructive nd technologicl scheme of the centrifugl working body for fertiliztion At fig.there is scheme, which qulittively describes the distribution of grnules by simultneous dispersion with three edges. As we cn see, res re limited by intensity distribution curve,on ech of the three units of bndwidth cpture pproximtely the sme, so on ech lne pproximtely the sme number of grnules. eltively to uneven distribution of grnules within lne, we cn note tht bove-mentioned sitution is idelized nd includes: ll grnules flies on the sme distnce during work of one of the edges. The relity is tht the grnules re not identicl in shpe nd cpcity. They hve different erodynmic chrcteristics, providing different rnge of flight nd improves uniformity of distribution which cn be tested experimentlly. Conclusions. In this pper, the scientific nd pplince problem of efficiency improvement Fig.. Distribution of three strems 35 of mechnicl ppliction of solid fertilizers is solved through improvement of qulity of their distribution by the surfce of soil nd incresing of mchine productivity.. New construction of spreder is proposed, which cn relize better uniform dispersion, in condition of ensuring of individul supply of ech of three strems of grnules, which re escping from disc.. Firly simple formuls for engineering ppliction re derived, which gives the possibility to justify the construction of disk fertilizers spreder, which improves dispersion gurnteed. 3. The resulting formul cn determine the bsolute velocity of fertilizer escping from the disc nd the ngle of escping tht re necessry to

5 (88) 08 determine the opertion width of spreder. List of references. Кобець А.С. Обгрунтування онструції чотирилопатевого відцентрового розидача мінеральних добрив / М.М. Наумено, Н.О. Пономарено. // Вісни Дніпропетровсього держагроуніверситету 03. С Василено П.М. Теория движения частицы по шероховатым поверхностям сельсохозяйственных машин / Василено П.М. - Изд-во Ураинсой аадемии сельсохозяйственных нау.киев с. 3. Адамчу В.В. Механіо-технологічні і технічні основи підвищення ефетивності внесення твердих мінеральних добрив та хіммеліорантів: Автореф. дис. до. техн. нау: Національний аграрний університет, Київ, с. 4. Сметнев С.Д. «Состояние и перспетива механизации применения минеральных удобрений «Механизация и элетрифиация социалистичесого сельсого хозяйства» 97, с. 5. Кравчу В.І. Сучасні тенденції розвиту онструції с/г техніи/ М.І. Грицигінна, С.М. Коваля, - К.: Аграрна науа, с. 6. Яблонсьий А.А. "Теоретичесая механиа", том - Статиа и инематиа, 967г., 5 с. 7. Фихтенгольц. Курс дифференциального и интегрального исчесления / Фихтенгольц. Том «Науа». М., 970, с. 8. Mitchell D. Uneven ppliktionleds to clcre grn losses / D. Mitchell // Power Frmg S Thimon J. Uneven distributon cn no longer be bken for grnted / J. Thimon // Fertilirer Solution S Wiemnn К. ichtiy Verteiet wirkt Dunger besser / К. Wiemnn // Ubersicht G S Списо джерел в транслітерації. Kobets A.S. Obhruntuvnny konstruktsiyi chotyryloptevoho vidtsentrovoho rozkydch minerlnykh dobryv / M.M. Numenko, N.O. Ponomrenko. // Visnyk Dnipropetrovskoho derzhhrouniversytetu 03. P Vsylenko P.M. Teoryy dvyzhenyy chstytsy po sherokhovtym poverkhnostym selskokhozyystvennykh mshyn / Vsylenko P.M.- Yzd-vo Ukrynskoy kdemyy selskokhozyystvennykh nuk. Kyev P. 3. Admchuk V.V. Mekhnikotekhnolohichni i tekhnichni osnovy pidvyshchenny efektyvnosti vnesenny tverdykh minerlnykh dobryv t khimmeliorntiv: Avtoref. dys. dok. tekhn. nuk: Ntsionlnyy hrrnyy universytet, Kyyiv, P. 4. Smetnev S.D. «Sostoynye y perspektyv mekhnyztsyy prymenenyy mynerlnykh udobrenyy «Mekhnyztsyy y élektryfyktsyy sotsylystycheskoho selskoho khozyystv» - 97, P. 5. Krvchuk V.I. Suchsni tendentsiyi rozvytku konstruktsiyi s/h tekhniky/ M.I. Hrytsyhinn, S.M. Kovly, - K.: Ahrrn nuk, P. 6. Yblonskyy A.A. "Teoretychesky mekhnyk", tom - Sttyk y kynemtyk, 967h., 5 P. 7. Fykhtenholts. Kurs dyfferentsylnoho y yntehrlnoho yscheslenyy / Fykhtenholts. Tom «Nuk». M., 970, P. 8. Mitchell D. Uneven ppliktionleds to clcre grn losses / D. Mitchell // Power Frmg P Thimon J. Uneven distributon cn no longer be bken for grnted / J. Thimon // Fertilirer Solution P Wiemnn K. ichtiy Verteiet wirkt Dunger besser /K. Wiemnn// Ubersicht G P РОЗКИДАЧ МІНЕРАЛЬНИХ ДОБРИВ ВІДЦЕНТРОВОГО ТИПУ В науовій статті наведено обґрунтування технологічних параметрів розидача мінеральних добрив відцентрового типу. Виявлено одну з можливих причин нерівномірного розсіювання добрив розидачем відцентрового типу. Отримано спрощену формулу для інженерних розрахунів, що дає можливість обґрунтувати онструцію диса розидача добрив, яа гарантує поращення дисперсії. Запропонований розидач мінеральних добрив відцентрового типу можливий до впровадження у виробництво. Ключові слова: внесення добрив, добрива, яість розподілу, ефетивність машин, параметри розидачів, режими роботи. РАЗБРАСЫВАТЕЛЬ МИНЕРАЛЬНЫХ УДОБРЕНИЙ ЦЕНТРОБЕЖНОГО ТИПА В научной статье приведено обоснование технологичесих параметров разбрасывателя минеральных удобрений центробежного типа. Обнаружена одна из возможных причин неравномерного внесения удобрений разбрасывателем центробежного типа. Получено упрощенную формулу для 36

6 (88) 08 инженерных расчетов, оторая дает возможность обосновать онструцию диса разбрасывателя удобрений, оторая гарантирует улучшения дисперсии. Предложенный разбрасыватель минеральных удобрений центробежного типа возможен до Informtion bout the uthors внедрения в производство. Ключевые слова: внесение удобрений, удобрения, ачество распределения, эффетивность машин, параметры разбрасывателя, режимы работы. Kobets А.S. doctor of public dministrtion,professor of the deprtment of griculturl mchines of Dnipro ntionl grrin-economic university (St.S.Efremov, 5, Dnipro, Ukrine, 49000) Numenko N.N. cndidte of technicl sciences,professor of the deprtment of theoretic mechnic ndmteril recoveryof Dnipro ntionl grrin-economic university (St.S.Efremov, 5, Dnipro, Ukrine, 49000, e-mil: Ponomrenko N.A cndidte of technicl sciences, ssistnt professor of the deprtment of expiuttion mchinery-trctor prk of Dnipro ntionl grrin-economic university (St.S.Efremov, 5, Dnipro, Ukrine, 49000, e-mil: Yropud V.M. cndidte of technicl sciences, senior lecturer of the deprtment of griculturl mchines of Vinnytsi ntionl grrin university (St.Sonichn, 3, Vinnytsi, Ukrine, 008, e-mil: Кобець Анатолій Степанович дотор з державного управління, професор афедри сільсьогосподарсьих машин Дніпровсього державного аграрно-еономічного університету (вул. Сергія Єфремова, 5, м. Дніпро, Ураїна, 49000) Наумено Миола Миолайович андидат технічних нау, професор афедри теоретичної механіи та опору матеріалів Дніпровсього державного аграрно-еономічного університету (вул. Сергія Єфремова, 5, м. Дніпро, Ураїна, 49000, e-mil: Пономарено Наталія Олесандрівна андидат технічних нау, доцент афедри есплуатації машинно-траторного пару Дніпровсього державного аграрно-еономічного університету (вул. Сергія Єфремова, 5, м. Дніпро, Ураїна, 49000, e-mil: Яропуд Віталій Миолайович андидат технічних нау, старший виладач афедри сільсьогосподарсьих машин Вінницього національного аграрного університету (вул. Сонячна, 3, м. Вінниця, Ураїна, 008, e-mil: Кобец Анатолий Степанович дотор государственного управления, профессор афедры сельсохозяйственных машин Днепровсого государственного аграрно-эономичесого университета (ул. Сергея Ефремова, 5, г.. Днепр, Ураина, 49000) Наумено Ниолай Ниолаевич андидат техничесих нау, профессор афедры теоретичесой механии и сопротивления материалов Днепровсого государственного аграрноэономичесого университета (ул. Сергея Ефремова, 5, г.. Днепр, Ураина, 49000, e-mil: Пономарено Наталья Алесандровна андидат техничесих нау, доцент афедры эсплуатации машинно-траторного пара Днепровсого государственного аграрноэономичесого университета (ул. Сергея Ефремова, 5, г.. Днепр, Ураина, 49000, e-mil: Яропуд Виталий Ниолаевич андидат техничесих нау, старший преподаватель афедры сельсохозяйственных машин Винницого национального аграрного университета (ул. Солнечная, 3, г.винница, Ураина, 008, e-mil: 37

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