US2026027608A1PendingUtilityA1

Shape control method and system for three-dimensional curved profile formed by four-direction differential velocity extrusion

Assignee: UNIV SHANDONGPriority: Jul 26, 2024Filed: Jul 15, 2025Published: Jan 29, 2026
Est. expiryJul 26, 2044(~18 yrs left)· nominal 20-yr term from priority
B21C 31/00B21C 23/12B21C 26/00B21C 25/02
62
PatentIndex Score
0
Cited by
0
References
0
Claims

Abstract

The present invention provides a shape control method for a three-dimensional (3D) curved profile formed by four-direction differential velocity extrusion, wherein: by controlling extrusion velocities in four directions, 3D curved profiles with different bending radii and deflection angles can be obtained; according to bending radii of curved profile under different extrusion velocity combinations, a functional relationship between the bending radii and bending radius control factors of the profile is established, enabling accurate regulation of the bending radius of the three-dimensional curved profile; and, according to deflection angles of curved profile under different extrusion velocity combinations, a functional relationship between the deflection angles and deflection angle control factors of the profile is established, enabling accurate regulation of the deflection angle of the 3D curved profile.

Claims

exact text as granted — not AI-modified
1 . A shape control method for a three-dimensional (3D) curved profile formed by four-direction differential velocity extrusion, comprising steps of:
 selecting no fewer than six groups of different extrusion velocity combinations within an allowable extrusion velocity range of an extruded material, measuring bending radii of a curved profile corresponding to the different extrusion velocity combinations, and calculating bending radius control factors of the profile corresponding to the different extrusion velocity combinations; and fitting a relationship curve between the bending radii of the curved profile and the bending radius control factors of the profile to obtain a functional relationship between the two;   selecting no fewer than six groups of different extrusion velocity combinations within the allowable extrusion velocity range of the extruded material, measuring deflection angles of the curved profile corresponding to the different extrusion velocity combinations, and calculating deflection angle control factors of the profile corresponding to the different extrusion velocity combinations; and fitting a relationship curve between the deflection angles of the curved profile and the deflection angle control factors of the profile to obtain a functional relationship between the two; and   calculating a first extrusion velocity, a second extrusion velocity, a third extrusion velocity and a fourth extrusion velocity required for a curved profile to be formed by extrusion according to the two established functional relationships, with a bending radius and a deflection angle of the curved profile to be formed by extrusion as targets;   placing a billet into an extrusion die, applying simultaneously the calculated first extrusion velocity, the calculated second extrusion velocity, the calculated third extrusion velocity and the calculated fourth extrusion velocity to the billet through respectively a first extrusion ram, a second extrusion ram, a third extrusion ram, and a fourth extrusion ram of the extrusion die, to extrude the billet from the extrusion die, and then obtaining a formed curved profile.   
     
     
         2 . The shape control method for the 3D curved profile formed by four-direction differential velocity extrusion according to  claim 1 , wherein the first extrusion velocity {right arrow over (v 1 )} and the second extrusion velocity {right arrow over (v 2 )} are on a same plane and symmetrically distributed, and an angle between the first extrusion velocity and a discharge direction is equal to an angle between the second extrusion velocity and the discharge direction; and
 the third extrusion velocity {right arrow over (v 3 )} and the fourth extrusion velocity {right arrow over (v 4 )} are on a same plane and symmetrically distributed; and an angle between the third extrusion velocity and the discharge direction is equal to an angle between the fourth extrusion velocity and the discharge direction.   
     
     
         3 . The shape control method for the 3D curved profile formed by four-direction differential velocity extrusion according to  claim 2 , wherein a dihedral angle between the plane where the first extrusion velocity and the second extrusion velocity are located and the plane where the third extrusion velocity and the fourth extrusion velocity are located is 90°; and ranges of the angles between the directions of the four extrusion velocities and the discharge direction are 90°-180°. 
     
     
         4 . The shape control method for the 3D curved profile formed by four-direction differential velocity extrusion according to  claim 1 , wherein a formula for calculating the bending radius control factors of the profile is as follows: 
       
         
           
             
               
                 
                   F 
                   r 
                 
                 = 
                 
                   
                     [ 
                     
                       
                         
                           ( 
                           
                             1 
                             - 
                             
                               g 
                               x 
                             
                           
                           ) 
                         
                         2 
                       
                       + 
                       
                         
                           ( 
                           
                             1 
                             - 
                             
                               g 
                               y 
                             
                           
                           ) 
                         
                         2 
                       
                     
                     ] 
                   
                   × 
                   
                     ( 
                     
                       1 
                       / 
                       G 
                     
                     ) 
                   
                 
               
               ; 
             
           
         
         wherein, F r  represents the bending radius control factor of the profile, g x  represents a first velocity ratio, i.e., a ratio of a smaller value to a larger value in a modulus |{right arrow over (v 1 )}| of the first extrusion velocity and a modulus |{right arrow over (v 2 )}| of the second extrusion velocity; g y  represents a second velocity ratio, i.e., a ratio of a smaller value to a larger value in a modulus |{right arrow over (v 3 )}| of the third extrusion velocity and a modulus |{right arrow over (v 3 )}| of the fourth extrusion velocity; and G represents a velocity gradient ratio being of a smaller velocity ratio to a larger velocity ratio in the first velocity ratio and the second velocity ratio. 
       
     
     
         5 . The shape control method for the 3D curved profile formed by four-direction differential velocity extrusion according to  claim 1 , wherein a process for obtaining the functional relationship between the bending radii of the curved profile and the bending radius control factors of the profile is as follows:
 selecting the no fewer than six groups of different extrusion velocity combinations within the allowable extrusion velocity range of the extruded material, conducting four-direction differential velocity extrusion experiments, and measuring the bending radii of the curved profile corresponding to the different extrusion velocity combinations;   calculating the bending radius control factors of the profile according to four-direction extrusion velocities; and   fitting the bending radii of the curved profile and the bending radius control factors of the profile to obtain the functional relationship between the bending radii of the curved profile and the bending radius control factors of the profile.   
     
     
         6 . The shape control method for the 3D curved profile formed by four-direction differential velocity extrusion according to  claim 4 , wherein different deflection angle control factors F θ  of the profile are established according to magnitudes of the first velocity ratio g x  and the second velocity ratio g y , magnitudes of the modulus |{right arrow over (v 1 )}| of the first extrusion velocity and the modulus |{right arrow over (v 2 )}| of the second extrusion velocity, and magnitudes of the modulus |{right arrow over (v 3 )}| of the third extrusion velocity and the modulus |{right arrow over (v 4 )}| of the fourth extrusion velocity. 
     
     
         7 . The shape control method for the 3D curved profile formed by four-direction differential velocity extrusion according to  claim 6 , wherein:
 when g y ≤g x , |{right arrow over (v 1 )}|≤|{right arrow over (v 2 )}|, and |{right arrow over (v 3 )}|≤|{right arrow over (v 4 )}|; a formula for calculating the deflection angle control factors is:   
       
         
           
             
               
                 
                   F 
                   θ 
                 
                 = 
                 
                   
                     { 
                     
                       
                         [ 
                         
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 y 
                               
                             
                             ) 
                           
                           / 
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 x 
                               
                             
                             ) 
                           
                         
                         ] 
                       
                       × 
                       
                         ( 
                         
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 4 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                           / 
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 2 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                         
                         ) 
                       
                     
                     } 
                   
                   2 
                 
               
               ; 
             
           
         
         when g y ≤g x , |{right arrow over (v 1 )}|≤|{right arrow over (v 2 )}|, and |{right arrow over (v 4 )}|≤|{right arrow over (v 3 )}|; a formula for calculating the deflection angle control factors is: 
       
       
         
           
             
               
                 
                   F 
                   θ 
                 
                 = 
                 
                   
                     { 
                     
                       
                         [ 
                         
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 y 
                               
                             
                             ) 
                           
                           / 
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 x 
                               
                             
                             ) 
                           
                         
                         ] 
                       
                       × 
                       
                         ( 
                         
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 3 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                           / 
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 2 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                         
                         ) 
                       
                     
                     } 
                   
                   2 
                 
               
               ; 
             
           
         
         when g y ≤g x , |{right arrow over (v 2 )}|≤|{right arrow over (v 1 )}|, and |{right arrow over (v 3 )}|≤|{right arrow over (v 4 )}|; a formula for calculating the deflection angle control factors is: 
       
       
         
           
             
               
                 
                   F 
                   θ 
                 
                 = 
                 
                   
                     { 
                     
                       
                         [ 
                         
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 y 
                               
                             
                             ) 
                           
                           / 
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 x 
                               
                             
                             ) 
                           
                         
                         ] 
                       
                       × 
                       
                         ( 
                         
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 4 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                           / 
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 1 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                         
                         ) 
                       
                     
                     } 
                   
                   2 
                 
               
               ; 
             
           
         
         and, when g y ≤g x , |{right arrow over (v 2 )}|≤|{right arrow over (v 1 )}|, and |{right arrow over (v 4 )}|≤|{right arrow over (v 3 )}|; a formula for calculating the deflection angle control factors is: 
       
       
         
           
             
               
                 F 
                 θ 
               
               = 
               
                 
                   
                     { 
                     
                       
                         [ 
                         
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 y 
                               
                             
                             ) 
                           
                           / 
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 x 
                               
                             
                             ) 
                           
                         
                         ] 
                       
                       × 
                       
                         ( 
                         
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 3 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                           / 
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 1 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                         
                         ) 
                       
                     
                     } 
                   
                   2 
                 
                 . 
               
             
           
         
       
     
     
         8 . The shape control method for the 3D curved profile formed by four-direction differential velocity extrusion according to  claim 6 , wherein:
 when g x ≤g y , |{right arrow over (v 1 )}|≤|{right arrow over (v 2 )}|, and |{right arrow over (v 3 )}|≤|{right arrow over (v 4 )}|; a formula for calculating the deflection angle control factors is:   
       
         
           
             
               
                 
                   F 
                   θ 
                 
                 = 
                 
                   
                     { 
                     
                       
                         [ 
                         
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 x 
                               
                             
                             ) 
                           
                           / 
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 y 
                               
                             
                             ) 
                           
                         
                         ] 
                       
                       × 
                       
                         ( 
                         
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 2 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                           / 
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 4 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                         
                         ) 
                       
                     
                     } 
                   
                   2 
                 
               
               ; 
             
           
         
         when g x ≤g y , |{right arrow over (v 1 )}|≤|{right arrow over (v 2 )}|, and |{right arrow over (v 4 )}|≤|{right arrow over (v 3 )}|; a formula for calculating the deflection angle control factors is: 
       
       
         
           
             
               
                 
                   F 
                   θ 
                 
                 = 
                 
                   
                     { 
                     
                       
                         [ 
                         
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 x 
                               
                             
                             ) 
                           
                           / 
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 y 
                               
                             
                             ) 
                           
                         
                         ] 
                       
                       × 
                       
                         ( 
                         
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 2 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                           / 
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 3 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                         
                         ) 
                       
                     
                     } 
                   
                   2 
                 
               
               ; 
             
           
         
         when g x ≤g y , |{right arrow over (v 2 )}|≤|{right arrow over (v 1 )}|, and |{right arrow over (v 3 )}|≤|{right arrow over (v 4 )}|; a formula for calculating the deflection angle control factors is: 
       
       
         
           
             
               
                 
                   F 
                   θ 
                 
                 = 
                 
                   
                     { 
                     
                       
                         [ 
                         
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 x 
                               
                             
                             ) 
                           
                           / 
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 y 
                               
                             
                             ) 
                           
                         
                         ] 
                       
                       × 
                       
                         ( 
                         
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 1 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                           / 
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 4 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                         
                         ) 
                       
                     
                     } 
                   
                   2 
                 
               
               ; 
             
           
         
         and, when g x ≤g y , |{right arrow over (v 2 )}|≤|{right arrow over (v 1 )}|, and |{right arrow over (v 4 )}|≤|{right arrow over (v 3 )}|; a formula for calculating the deflection angle control factors is: 
       
       
         
           
             
               
                 F 
                 θ 
               
               = 
               
                 
                   
                     { 
                     
                       
                         [ 
                         
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 x 
                               
                             
                             ) 
                           
                           / 
                           
                             ( 
                             
                               1 
                               - 
                               
                                 g 
                                 y 
                               
                             
                             ) 
                           
                         
                         ] 
                       
                       × 
                       
                         ( 
                         
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 1 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                           / 
                           
                             
                               ❘ 
                               "\[LeftBracketingBar]" 
                             
                             
                               
                                 v 
                                 3 
                               
                               → 
                             
                             
                               ❘ 
                               "\[RightBracketingBar]" 
                             
                           
                         
                         ) 
                       
                     
                     } 
                   
                   2 
                 
                 . 
               
             
           
         
       
     
     
         9 . The shape control method for the 3D curved profile formed by four-direction differential velocity extrusion according to  claim 1 , wherein a process for obtaining the functional relationship between the deflection angles of the curved profile and the deflection angle control factors of the profile is as follows:
 selecting the no fewer than six groups of different extrusion velocity combinations within the allowable extrusion velocity range of the extruded material, conducting four-direction differential velocity extrusion experiments, and measuring the deflection angles of the curved profile corresponding to the different extrusion velocity combinations;   calculating the deflection angle control factors of the profile according to four-direction extrusion velocities; and   fitting the deflection angles of the curved profile and the deflection angle control factors of the profile to obtain the functional relationship between the deflection angles of the curved profile and the deflection angle control factors of the profile.

Join the waitlist — get patent alerts

Track US2026027608A1 — get alerts on status changes and closely related new filings.

We store only your email — no account needed. See our privacy policy.