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  HomeContents of Chinese Journal of Mechanical Engineering 2008 No.3Differential Shear Theory and Mathematical Model of High Pressure Double Roll Crush

Differential Shear Theory and Mathematical Model of
High Pressure Double Roll Crush

 

GAN Jianguo

(R & D Centre, Changsha Construction Machinery Research Institute, Changsha 410013)

 

Abstract: A new concept of the differential shear theory is presented, based on the study of process and result of the high pressure double roller cracker for brittleness material crushing. The existing of the differential shear force is proved through mathematical method, and the occurrence of shear force is proved to be related to the differential of compression speed of material passing the roller cracker at any moment. Further, it was explained what lumpy brittleness material passing the double roller cracker is crushed into caky powder, and the inherent law is revealed, of which high pressure double rolls cracker shears brittleness material continuously and densely. The nonlinear functions E(θ) and G(θ) related to the thickness, density and compactness of materials are obtained by experiment. The calculating formulas of the total force of running rollers acted on the layers of material and the power consumption are calculated by integration in the valid scope. The computer simulation of the mathematic model and experimental test of the physical prototype are applied to verify the calculation with the differential shear theory. The differential shear theory is practical and informative for product experiments and design, and with reference value for the mechanical study of rolling metal material and similar rolling process.

Key words: High pressure  Double roller  Crush  Differential shear  Mathematical model  Brittleness material

CLC No: TB44

Received 20070324, received in revised form 20071104

 
Open or Download Full Text of this Paper (PDF File)
 

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