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Investigation on Kinetic Features of Multi-Liners in Coupler Plane of Single Toggle Jaw Crusher Cao Jinxi, Qin Zhiyu, Wang Guopeng, Rong Xingfu, Yang Shichun College of Mechanical Engineering, Taiyuan University of Technology, Taiyuan, 030024, China Abstract- A jaw crusher is a kind of size reduction machine which is widely used in mineral, aggregates and metallurgy fields. The performance of jaw crusher is mainly determined by the kinetic characteristic of the liner during the crushing process. The practical kinetic characteristic of the liners which are located in certain domain of the coupler plane are computed and discussed. Based on those computing results and analysis for the points chosen from the liners paralleling coupler plane, unique swing features and kinematics arguments are determined in order to build the kinetic characteristic arguments. The job is helpful for a design of new prototype of this kind of machine on optimizing the frame, designing the chamber and recognizing the crushing character. Keywords - jaw crusher, liners, kinetic features, kinematics arguments I. INTRODUCTION The performance of a jaw crusher is mainly determined by the kinetic characteristic of the liner during the crushing process. The liner motion is not in translation, but complex swing one 1. Features and analysis of liner motion is a necessary foundation for better jaw crusher design In previous researches much attention has focused on an analysis of the straight-line along the direction of the couple of the fourbar crank-rocker 2345 or the designed liner in a stereotypy jaw crusher 6 based on a fourbar crank-rocker model, the results of which cannot reflect the kinetic characteristic and the variation trend of optimizing points which should be used in a crushing interface. With those kinds of traditional designing ways the kinetic characteristic of any points in the coupler plane and the correlation among those characteristic can not be fully described. In this paper, a certain domain, called the liner domain, of the coupler plane is chosen to discuss the kinetic characteristic of a liner or a crushing interface in the domain. Based on the computation and the analysis of the practical kinetic characteristic of the points along a liner paralleling to the direction of coupler line, some kinematics arguments are determined in order to build some kinetic characteristic arguments for the computing, analyzing and designing. The job is helpful for a design of new prototype of this kind of machine on optimizing a frame, designing a chamber and recognizing a crushing character. II. CHOOSING THE POINTS ON LINERS FOR COMPUTING A liner of jaw crusher is an interface for analyzing the crushing force, on which the crushing force occurs, in other words, the directly contact and the interaction between the material and the liner occur there. So the interface has great effect on the crushing feature of jaw crusher. The liner is one of the curves in the cross-section of the couple plane, which is also given a definition as one of the coupler curves in a fourbar crank-rocker model. Since different positions of liners in the coupler plane have different moving features, the motion of points along the liners in the computing domain is quite different from that of them in the straight-line coupler of the simple fourbar crank-rocker model. Therefore, it is necessary to consider motion differences caused by different liner positions and their motion features to select a coupler curve as the swing liner with good crushing character. Based on the fourbar crank-rocker model, the system sketch of jaw crusher for calculating is shown in Fig. 1. The global static coordinate is XOY and the dynamic coordinate is UCV. Although a real shape and position of a fixed working liner is usually determined by a suspension point of the jaw crusher, computation of a liner will be done on the one of chosen curves in the liner domain. Thus with different position on the liner, each computing point on it liners will arrive at the limit position at different time. On a traditional designing way, the limit position is usually determined by the horizontal motion distance which is simply used as a designing factor or parameter to describe a moving feature of the liner. However it is well known that a practical crushing force exerted on fractured material is in the normal direction of the liner. The normal direction of each point in the liner changes in one operation cycle. So a distance between the limit positions in normal direction of those points is quite different from that of the displacement of horizontal motion. In order to describe the kinetic characteristic of the points in the liner domain, the single toggle jaw crusher PE400*600 is taken as example to compute and analyze the distributed kinetic characteristic. The calculation parameters of the PE400600 are shown in Table I. In order to illustrate the motion of the points in liner domain, it is needed to define the liner domain. Some planes paralleling to the BC are selected and each plane is divided into 20 equal parts. In the U direction, 7 evenly distributed points are selected from the-300 to 300 and in the V direction 21 evenly distributed points are selected from -200 to 1800. So there are 21 points selected to be calculate in the V direction for a certain U. With the points for computing and the liner domain chosen as above mentioned, computing results are shown in the follows. 1639 1-4244-0737-0/07/$20.00 c 2007IEEEFig. 1 Jaw crusher sketch TABLE I PE400*600 JAW CRUSHER CALCULATION PARAMETERS (mm) r l k a b N(rpm) 12.0 1085.0 455.0 45.3 815.7 300 Where r is crank AB, l is the coupler BC, k is the rocker CO, a and b are X and Y component of the A point and N the rotation speed of the crank. III. MOVEMENT COMPUTATION AND FEATURE ANALYSIS OF POINTS The mechanism of the jaw crusher is shown in Fig. 1. Given the rotation direction of the crank AB is clockwise. Where 90 and 1 ) 1 )( 1 ( ) ( sin 2 2 2 2 + + + = n m n mn mn (1) sin cos n m + = (2) ) cos ( 2 ) cos sin ( 2 2 2 2 2 2 r b l b a r k l r b a m + + + + = (3) cos sin r b r a n = (4) Given the position of any point in coordinate UCV is (u, v) and in coordinate XOY is (x, y) Then sin sin ) ( cos r a v l u x + + = (5) cos cos ) ( sin r b v l u y + + = (6) And the velocity of the points can be express as following equations: () = d d u r d d v l v X sin cos cos (7) () + + = d d u r d d v l v Y sin sin sin (8) + = ) cos( ) ( r d d v l v U (9) + + = ) sin( r d d u v V (10) + + + = sin ) cos ( sin sin ) cos ( cos ) sin ( r b r a b l l a l r d d (11) -400 -200 0 200 400 600 800 -600 -400 -200 0 200 400 600 800 1000 1200 1400 1600 Y X U V mm mm Fig. 2 Calculation paths of different points The path of the points in liner domain is shown in Fig. 2. It is shown in Fig. 2 that the path of any point is a closed curve that is analogous to an ellipse. The path of different point is different, and the variation of the shape has a certain law. It is shown in equation 9 that the point with the same V component has the same velocity component in the U direction, i.e., the U component has no effect on the velocity component in the U direction. The variation of the velocity component in U direction relative to the angle parameter is shown in Fig. 3. It is obvious that the amplitude of the velocity variation is minimal for the points at the suspending point zone. The variation of the initial phase has a certain law. 0 60 120 180 240 300 360 -800 -600 -400 -200 0 200 400 600 800 velocity V mm/s O Fig. 3 Velocity component in U direction 1640 2007 Second IEEEConference on Industrial Electronics and Applications0 60 120 180 240 300 360 -600 -500 -400 -300 -200 -100 0 100 200 300 400 500 600 velocity U mm/s O Fig. 4 Velocity component in V direction It is shown in equation 10 that the point with the same U component has the same velocity component in the V direction. In other words the V component has no effect on the velocity component in the V direction. The variation of the velocity component in V direction relative to the angle parameter is shown in Fig. 4. It is obvious that the amplitude of the velocity variation is decreasing with the decreasing U component. The variation of the initial phase has a certain law. IV. KINETIC CHARACTERISTIC ARGUMENT OF POINTS IN LINER DOMAIN Taking the points in the liner domain as a distribution whole, the analysis to the kinetic characteristic of the points and its variation are carried out. The common feature and variation law is shown in the following A. Feature Argument of the Motion Path It is shown in Fig. 2 that the path of the points is analogous to the ellipse. In order to describe the feature of the path, the maximal distance between two dots on single path is called the long axis, and the angel between the long axis and the X axis is called the gradient. The path gradient of point in the liner scope plane is shown in Fig. 5. It is shown that path gradient of the points in the suspending point has the same value. For the points having the same U component, the gradient is gradually increasing at lower part of liner, and after the maximal value the gradient is gradually decreasing with the increasing of the V component. 0 400 800 1200 1600 -100 -80 -60 -40 -20 0 20 40 60 80 100 angle V U o mm Fig. 5 Paths gradient of the points in the liner domain 0 400 800 1200 1600 0.0 0.2 0.4 0.6 0.8 1.0 ellipticity U V mm Fig. 6 The ellipticity of the points in the liner scope plane The ration between the longest axis and the shortest axis of single path is called ellipticity that can reflect the basic feature the closed curves. The ellipticity of the points in the liner domain is shown in Fig. 6. The ellipticity of the point having the same U component got the maximal value in the suspending point zone. B. Critical Value of the Motion during the Crushing Process The start points in the U direction during the close and the open process in one operation cycle is shown in Fig. 7. It can be seen that the start of the close process is not simultaneous. However, the calculation indicates that the start of close process of the point with the same V component is simultaneous. C. Distance in the U and V Direction The distance of points in the U direction during one crushing cycle is shown in Fig. 8. It is obviously that the points having the same V component have the same close and open distance, i.e., the distance in the U direction has no relationship with the U component. 0 400 800 1200 1600 0 50 100 150 200 250 300 350 V start of open process start of open process O mm Fig. 7 The start of the close and the open process in the U direction 2007Second IEEE Conferenceon IndustrialElectronics and Applications 16410 400 800 1200 1600 0 5 10 15 20 25 30 35 40 45 close process open process distance v mm mm Fig. 8 The distance of points in the U direction during one crushing cycle -300 -200 -100 0 100 200 300 8 10 12 14 16 18 distance upward do wnwa r d U mm mm Fig. 9 Upward and downward distances in the V direction of the points in the liner scope plane The upward and the downward distances in the V direction of the points in the liner scope plane are shown in Fig. 9. The result shows that the points with the same U component have the same distance in the V direction. The distance in V direction is decreasing with the decreasing of U component, which will relive the liner wear. V. CONCLUSIONS A certain domain of the coupler plane and some points in it are chosen to discuss the kinetic characteristic of the crushing interface or the liner. Based on the computation and the analysis of the practical kinetic characteristic of the points in the liner domain, some traditional motion parameters and some kinetic arguments are calculated. According to the requirement for the squeezing motion of different zone in the crushing chamber, the chamber geometry can be improved. The required squeezing motion of the particles in different chamber position is the function of its property, and this will be the job of the next step. REFERENCES 1 LIAO HanYuan, KUN JianYi, NIU GuoHui, Jaw crusher, China Machine Press, Beijing, 1998. 2 Qin Zhiyu, Xu Ximin, An Investigation on the Kinematical Characteristics and Capacity of the Compound Swing Jaw Crusher, JOURNAL OF TAIYUAN HEAVY MACHINERY INSTITUTE, VOL 12, pp 97-105, Feb, 1991 3 Qin Zhiyu, Xu ximin, A Method of preoptimization of the Mechanism of Compound Swing Jaw Crusher, JOURNAL OF TAIYUAN HEAVY MACHINERY INSTITUTE, VOL 13, pp 56-63, Feb, 1992 4 Qin Zhiyu, Rong Xingfu, Calculation and Analysis of the Adjusted Width of Discharge opening with Wedge in a Compound Swing Jaw Crusher, JOURNAL OF TAIYUAN HEAVY MACHINERY INSTITUTE, VOL 13, pp 92-98, April, 1992 5. Qin Zhiyu, Rong Xingfu, Analysis and Optimization of Crushing Energy of a Compound Swing Jaw Crusher, JOURNAL OF TAIYUAN HEAVY MACHINERY INSTITUTE, VOL 14, pp 85-98, Jan, 1993 6 FAN Guangjun, MU Fusheng, The Study of Breaking Force of Jaw Crusher, HUNAN METALLURGY, No 14, PP15-17, July, 2001 1642 2007 Second IEEEConference on Industrial Electronics and Applications
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