Method for designing refiner plates with three-stage radial curved bars

Patent metadata

Field	Value
Publication number	US-11446673-B2
Application number	US-201916578222-A
Country	US
Kind code	B2
Filing date	Sep 20, 2019
Priority date	Oct 30, 2018
Publication date	Sep 20, 2022
Grant date	Sep 20, 2022

Abstract

The present invention discloses a method for designing a refiner plate with three-stage radial curved bars, comprising following steps of: designing a circle arc for 1st stage radial curved bars; designing a circle arc for the 2nd stage radial curved bars; designing a circle arc for 3rd stage radial curved bars; and designing a center angle for the refiner plate according to the size of the refiner plate and the manufacture requirements, to complete the design of the refiner plate. In the present invention, by the establishment of equations for the circle arcs and angles of inclination of the curved bars, it is ensured that the width of the bars will not change in the radial direction, and both the flexibility in designing a curved refiner plate and the uniformity of crushing are improved. This design method provides a theory basis and also instructions for designing multi-stage radial curved bars.

First claim

What is claimed is:

1. A method for designing a refiner plate with three-stage radial curved bars, comprising following steps of:
1) designing a first circle arc for 1 st stage radial curved bars: defining a first angle of inclination, establishing a center circle arc for the 1 st stage radial curved bars by the first angle of inclination and a starting position, and establishing a first equation of circle arcs for the 1 st stage radial curved bars;
2) designing a second circle arc for 2 nd stage radial curved bars: defining a second angle of inclination and a radius of a circle where the 2 nd stage radial curved bars start, dividing the refiner plate into zones, establishing a second equation of circle arcs for the 2 nd stage radial curved bars, and uniformly distributing the 2 nd stage radial curved bars between the adjacent 1 st stage radial curved bars;
3) designing a third circle arc for 3 rd stage radial curved bars: defining a third angle of inclination and a radius of a circle where the 3 rd stage radial curved bars start, dividing the refiner plate into zones, establishing a third equation of circle arcs for the 3 rd stage radial curved bars, and uniformly distributing the 3 rd stage radial curved bars between the 1 st stage radial curved bars and the 2 nd stage radial curved bars or between the adjacent 2 nd stage radial curved bars;
4) dividing the refiner plate into a plurality of segments by designing a center angle for each of the segments according to a size of the refiner plate and manufacture requirements and designing a bar shape of each of the segments according to the center angle for each of the segments; and
5) machining the refiner plate based on design results obtained in steps 1) to 4.

2. The method for designing a refiner plate with three-stage radial curved bars according to claim 1 , wherein the step 1) comprises following steps of:
step 1: defining the first angle of inclination:
given that the refiner plate has an inner diameter R i , an outer diameter R o and a circle center O, a center circle in a refining zone has a radius (R i +R o )/2, OB is a vertical bisector of the refining zone, and the center circle in the refining zone intersects with OB at a point B, making BE passing through the point B at a top left of OB if the 1 st stage radial curved bars are left-hand bars and making BE passing through the point B at a top right of OB if the 1 st stage radial curved bars are right-hand bars, with an included angle between BE and OB being represented by β, a value of which is preset;
selecting any point A from an inner circle in the refining zone, and making a circle passing through points A and B by using BE as a tangent line, with a line perpendicular to the tangent line BE and a line perpendicular to AD intersecting at a point O 1 that is a center of the circle which passes through the points A and B and is tangent to both BE and AD, a radius of the circle O 1 being measured as R a ; and
obtaining an intersected portion of the circle O 1 with inner and outer circles in the refining zone as a center line for curved bars, and assuming that an included angle β between BE and OB is the first angle of inclination and an included angle α between AD and OA is a starting angle of inclination of the 1 st stage radial curved bars;
step 2: designing an equation of the center circle arc for the 1 st stage radial curved bars:
obtaining an equation of the circle O 1 , by using the point O 1 as a pole and drawing a horizontal ray from the pole as a polar axis, using a counterclockwise direction as a positive direction, and representing an included angle between a connecting line from any one point on the circle O 1 to the pole, and the polar axis as θ:

{

x
=

R
a

⁢
cos
⁢
θ

y
=

R
a

⁢
sin
⁢
θ

}

;

(
1
)

wherein the equation (1) is the equation of the circle of the center circle arc AC for the 1 st stage radial curved bars;
step 3: designing equations for inner and outer circle arcs for the 1 st stage radial curved bars:
given that a width of the 1 st stage radial curved bars is b, respectively representing equations for inner and outer circle arcs for the 1 st stage radial curved bars as

{

x
=

(

R
a

+

b
2

)

⁢
cos
⁢
θ

y
=

(

R
a

+

b
2

)

Assignees

• Shaanxi Univ Of Science & Technology

Inventors

• Dong Jixian
• Liu Huan
• Guo Xiya
• Wang Bo
• Wang Dong
• Jing Hui
• Wang Sha
• Yang Ruifan

Classifications

• G06F30/20 Primary

  Design optimisation, verification or simulation (optimisation, verification or simulation of circuit designs G06F30/30) · CPC title

• G06F17/11

  for solving equations {, e.g. nonlinear equations, general mathematical optimization problems (optimization specially adapted for a specific administrative, business or logistic context G06Q10/04)} · CPC title

• D21D1/306

  Discs · CPC title

• B02C7/12 Primary

  Shape or construction of discs · CPC title