The Material Traces Determination and Significance of Reprinted Belt Conveyor Gui-Yu LIN 1,a*, Zhao-Yong LI 2,b, Yu ZHOU 3,c, Chao ZHANG 1,d

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1 International Conferene on Mehanis and Ciil Enineerin (ICMCE 014) The Material Traes Determination and Sinifiane of Reprinted Belt Coneyor Gui-Yu LIN 1,a*, Zhao-Yon LI,b, Yu ZHOU 3,, Chao ZHANG 1,d 1 Liaonin Shenyan Mehanial Enineerin and Automation of Northeastern Uniersity China Shandon Donyin The KERUI Group China 3 Liaonin Shenyan Enineerin Desin Institute of Northern heay industries roup China a lin_uiyu@163.om, b lizhaoyon1990@16.om, zynhisk@163.om, d @qq.om *Correspondin author Keywords: Material Trae, Dynamis, Belt Coneyor, Impat. Abstrat. The determination of material traes is to meet the needs of the Subsequent prodution proess and oneyor boom exitin fore dynamis alulations. Aordin to the oneyor s performane parameters, the thikness of the material layer an be known, in the ourse of alulatin material traes; By the stress analysis of partiles, the ritial speed of oneyor belt to realize throwin motion model an be established. Respetiely based on partile system dynamis theory and partile system momentum theorem to establish the enter of mass eloity of the material flow, material flow trae mathematial models and material impat in the state of air resistane and no air resistane. To determine the basi parameters, a speifi prototype is alulated based on the aboe priniple. This proides a useful referene for follow-up desin and work. The Sinifiane of Material Trae Researh The belt oneyer is ery important in manufature[1 ]. In the desin of belt oneyor transfer deie, the trae of materials and indiidual material bloks must be known when unloadin the materials from the drum to ensure the feeder and the hute of reprinted deie or keep-off olumn board and the installation position of buffer material oneyor idlers[3]; Determine the impat of the material reprodued to another oneyor to prepare for the boom oneyor dynamis alulation. At present, there is no onsideration or ien ways to alulate the material layer method when determinin the mathematial model of material traes. the material layer speed is replaed by the speed of the roller. This makes the results are different with the atual or lak of reliability. The trae of bulk materials and reprinted oneyin distane is related to the oneyor belt speed of material layer on the enter of mass. And If the speed of the oneyor belt does not reah a ertain alue, the material does not hae to be thrown out of the trend. The material s initial speed is the same with oneyor belt speed and it will fall ertially alon the drum. The material will hae the trend. To be thrown when the material is oneyed to the end of the drum when the speed of the oneyor belt t reah a ertain alue, so the distane from oneyor to transfer oneyor an be determined. The Method of Determinin the Bulk Material Traes The form of bulk material traes and reprinted oneyin distane is related to the entroid eloity of material layer while the oneyor belt speed plays a deisie role. Takin a partile from material layer for the study, analyze the stress and establish differential equation of motion by the funtion law of fore. And then alulated aordin to the motion onditions of the problem to determine the motion of the partiles. The Speed Model OF Material Break Away from the Coneyor Belt (1) The method of determinin the thikness of the material layer 014. The authors - Published by Atlantis Press 140

2 Hypothesis: 1There is no slip between the drie roller and the oneyor belt. The produtiity of unit time as unhaned. Approximate method for determinin Material thikness R : It s an be determined by produtiity Q (k/s),belt speed (Or anular eloity ω),bandwih B, material density ρ, roller radius R, entriod eloity of the material layer. After finishin, the material layer thikness is BR( kq ( BR)) R B k: oeffiient of material layer,0<k 1;k=0,that,s no material layer, R=0, =; () The material from the oneyor belt speed model That s the oneyor belt speed should reah a ertain alue, and this fore was determined by the entrifual fore omponent in the ertial diretion, the material an be thrown. The fore of a partile is shown in fiure 1. (1) Fi. 1 Fore Diaram of a Partile The material on the drum is the partile system that is made up by material partiles: f ma m os () n : oneyor belt speed,m/s; R: the roller radius, m; : the aeleration of raity, =9.8m/s. ( R k R) os Coneyor belt speed should meet the ondition: ( R k R) Put the formula (1) into formula (4): 3 kq R 0 B The ritial speed that meet the type is kq kq R kq kq R 1 ( ) ( ) ( ) ( ) B B 3 B B (3) (4) (5) It s obious that 1, the material an be separated from the oneyor belt. 141

3 The Determination of Material Trae Model Hain Air Resistane Thrown up the material with Inlined anle β and initial eloity, takin onsideration of air resistane and no wind speed. Takin a partile from the material layer as the researh objet. Its oordinate system as shown in the diaram, and ensure the initial eloity of the partile in the plane oxy. As shown in fiure. Fi. The Material Trae Struture β: Anle of horizontal axis and the free fall startin material partile eloity diretion; Initial ondition: 1)t=0, os ( R k R) os, sin ( R k R) sin x )t=0, x= 0; y H ( R k R)os h ; y In the aboe formula, ω: Anular eloity of roller, 1/s,ω=/R; h: Distane of the roller enter to the surfae reprint on tape, m; : Speed of a layer of material, m/s. Considerin air resistane, its alue is the material of the runnin speed of the enter of mass of first power relations, namely air resistane F= m, for the known resistane oeffiient; Is loated in the trajetory of a partile for m, the quality of its raity G = m; Its eloity diretion and horizontal anle as the amma. For partile differential equations: dx m F os m os (6) d y m m F sin m m sin Obtained from type (6): dx x Obtained from type (7), dy (1 y) (9) Based on the onlusion from type interal (9) (10), x Ce t De y t 1 Aordin to the initial onditions (1), dx x os (7) (8) 14

4 dy y sin C os D sin 1 dx t x Ce os e t t t dy De 1 ( sin 1) e 1 y Based on the onlusion from type interal (10) (11), (10) (11) os e x t C t t y ( sin ) e D1 Aordin to the initial onditions (), x os t (1 e ) (1) 1 1 ( sin ) D1 H 1 1 t y ( sin )(1 t e ) H The material trae model elimination time t, by type (1), 1 os ln( x t ) os And plu in type (14), draw material trae model, 1 x 1 os x y H ( sin ) ln( ) os os Material partiles in the ertial plane of the release bean to fall, when the material partile eloity for onstant free fall, material throwin trajetory should be is a parabola. Material layer in speed by type (10) (11),and ask for any time of the material layer and speed. (13) (14) t t ( sin 1) e 1 h 1 ( os e ) + ( ) R ( R k R) k R (15) Suppose type (8) for y=0,et, t 1 1 e ( sin )t-( + H sin ) 0 (16) Solution of the transendental equation, fall to reprodue on the surfae of the transport time t an be obtained; usin type (15) the speed at the end of the material an be obtained. 143

5 Material throwin trajetory of horizontal distane sin 1 1 os ln( x H x ) 0 To (14) of y=0, os os (17) Solution of the transendental equation, an et material astin trajetory of horizontal distane x, in order to arrane feeder to feed slot position transfer deie. Horizontal distane to sole the material throwin traks, os sin x ( sin 1) The type plu in (14), astin the maximum heiht of the material. Without Air Resistane Material Trae Model Without air resistane material trae model and with air resistane model with trae model, namely the air dra oeffiient = 0. In the same way, it is onluded that the followin parameters: The displaement equation x os t (18) (19) y H sin t t Material down time : by type (0) for y=0, t ( ) 4 sin sin H The maximal displaement x diretion, xmax, Suppose y=0, x os ( sin sin H ) Resultant eloity sin t ( t) h (0) (1) () (3) R ( R k R) k R The trajetory equation for materials 1 x y x tan H ( os ) (4) The Impat of the Material Material layer is omposed of n partiles, partile system applied impulse theorem and aordin to the ollision of partile system reoery oeffiient definition e= I/I1, there is, I= e I1, In the formula, e means oeffiient of restitution, its alue and transport belt tension, related to the size of the fators suh as elasti modulus, 0< e 1,intend to take e =0. 1; I1 refers to ollision proess beins the instantaneous impulse of ollision, I1= m ht.i means end of the ollision proess instantaneous impulse of ollision. h t,that is, at the end of the enter of mass eloity of material layer. 144

6 I =e I 1 = e m ht (KN) (5) Beause the material is ontinuously on the reprodued transport mahine, an be onsidered a retanular wae exitin fore. Pratial Calulation Known: a prototype proess parameters: Q= 5616t/h ( 1.560t/s), the bandwih B=1.m,ρ=1.4t/m3, roller radius R=0.5m,=0.01 ; Fallin distane, H=1.5m, =4m/s,β=0,e=0.1,k=1. Calulation of Releant Parameters Generation into the related formula will be known parameters, as the followin table, Conlusion Throuh alulation and analysis aboe, the followin onlusions: (1) the air resistane of the eloity, displaement, material trae and influential impat alue; Greatly influened by the inrease of air resistane to impat and influene on the displaement is small; () if the formation of astin speed, should make the smallest workin speed of oneyor belt min.87m/s; (3) the material flow astin line in a horizontal distane of.63 m, the baffle end oneyor should be in the rane arranement; (4)When there is no air resistane, the impat of the KN, an exitin fore is the retanular wae type ontinuous funtion in the reprodued transport mahine. Aknowledements This work was finanially supported by Chinese National 863 Projet(01AA0600). Referene [1]Zhao Yuwen, Li Yunhai, The present and future deelopment in manufuture, The oal mine mahine. 004(4):1-3. []Son Weian, Wan Yin, The proress of the belt oneryer, Hoistin and oneryin mahinery, 004():1-3. [3]Ф.К. Yin wan, Qin Ke, et, Shen Jinbao et al. Liftin transportation mahinery omputation. Beijin: China railway publishin house, 198. P348~