Method for designing grinding disc for high-wear-resistant workpieces

Abstract

A method for designing a grinding disc for workpieces includes the following steps: determining process dimension parameters of a grinding process, and the process dimension parameters of the grinding process comprising a rotational speed ωm of the grinding disc and a rotational speed ωw of a workpiece or a rotational speed ωs of a sun wheel, a radius r of the workpiece, a radius R of the grinding disc, and an eccentric distance e; dividing the grinding disc is into regions; calculating trajectory densities of a point Pi on the workpiece relative to the different divided regions of the grinding disc; calculating areas of the different divided regions in proportion based on the trajectory densities on the different divided regions to obtain a grinding disc pattern; and obtaining a patterned grinding disc through machining or by arranging hot-pressed sintered blocks per unit area according to the grinding disc pattern.

What is claimed is: 
     
         1 . A method for designing a grinding disc comprising the following steps:
 (1) determining process dimension parameters of a grinding process, and the process dimension parameters of the grinding process comprising a rotational speed ω m  of the grinding disc and a rotational speed ω w  of a workpiece or a rotational speed ω s  of a sun wheel, a radius r of the workpiece, a radius R of the grinding disc, and an eccentric distance e;   (2) dividing the grinding disc into different divided regions;   (3) calculating trajectory densities of a point P i  on the workpiece relative to the different divided regions of the grinding disc;   (4) calculating areas of the different divided regions in proportion based on the trajectory densities on the different divided regions to obtain a grinding disc pattern; and   (5) obtaining a patterned grinding disc through machining or by arranging hot-pressed sintered blocks per unit area according to the grinding disc pattern.   
     
     
         2 . The method for designing the grinding disc according to  claim 1 , wherein:
 when the grinding disc is divided into the different divided regions, the different divided regions are concentric rings with a center of the grinding disc as an origin, or the different divided regions are rectangles arranged in an array with equal areas.   
     
     
         3 . The method for designing the grinding disc according to  claim 1 , wherein:
 an actual area of each of the different divided regions of the grinding disc is calculated according to a formula   
       
         
           
             
               
                 
                   A 
                   u 
                 
                 = 
                 
                   
                     A 
                     b 
                   
                   ⁢ 
                   
                     
                       ρ 
                       u 
                     
                     
                       ρ 
                       max 
                     
                   
                   ⁢ 
                   
                     ( 
                     
                       
                         u 
                         = 
                         1 
                       
                       , 
                       2 
                       , 
                       … 
                           
                       , 
                       M 
                     
                     ) 
                   
                 
               
               , 
             
           
         
         the A b  is an area base value, 
         the A b  is not greater than an area of a region of the different divided regions with a maximum track density, 
         the ρ max  is the maximum track density among the different divided regions, and 
         the ρ u  is a trajectory density on a corresponding one of the different divided regions. 
       
     
     
         4 . The method for designing the grinding disc according to  claim 3 , wherein the step 3 comprises:
 dividing a surface of the workpiece into grids with a spacing of 1 mm,   calculating trajectory lengths of all of the grids of the workpiece on the different divided regions of the disc grinding according to a formula l iu,t =√{square root over ([x i (t+t p )−x i (t)] 2 +[y i (t+t p )−y i (t)] 2 )}, wherein the (x i , y i ) is a coordinate of the point P i , and the t p  is a time step, and   calculating the trajectory density ρ u  on the corresponding one of the different divided regions.   
     
     
         5 . The method for designing the grinding disc according to  claim 1 , wherein:
 a base material of the grinding disc obtained through the machining is an active metal.   
     
     
         6 . The method for designing the grinding disc according to  claim 1 , wherein:
 the hot-pressed sintered blocks are made of active metal powder and abrasive grains through a hot-press sintering process.