Method for designing refiner plates with equidistant curved bars

Patent metadata

Field	Value
Publication number	US-11090715-B2
Application number	US-201916578281-A
Country	US
Kind code	B2
Filing date	Sep 21, 2019
Priority date	Oct 30, 2018
Publication date	Aug 17, 2021
Grant date	Aug 17, 2021

Abstract

The present invention discloses a method for designing a refiner plate with equidistant curved bars, comprising following steps of: designing a central bar are of center curved bar and defining the bar angle for the equidistant curved bar; designing circle arcs for curved bars on two sides of center curved bar of equidistant curved bar segment; when the whole refining segment is full of circle arcs, trimming lines of outer circle arcs of the refining segment to complete the design of equidistant circle arcs on the two sides; and if required, dividing the bars into zones. In the present invention, by the definition of the bar angle for the curved bars and the parametric design of the equidistant curved bars by using circle are equations, it is ensured that the flexibility in designing an equidistant curved bar refiner plate is improved.

First claim

What is claimed is:

1. A method for designing a refiner plate with equidistant curved bars, comprising the following steps:
step 1)
defining, on the basis of defining a bar angle of the curved bars, a center circle arc for the curved bars, and establishing an equation for the circle arc for the curved bars by establishing a polar coordinate system; wherein the step 1) comprises the following steps:
substep 1 ): setting an inner diameter of the refining segment as R i ; setting an outer diameter of the refining segment as R o ; setting a circle center of the refining segment as O; setting a center circle arc of the refining segment as MN; setting a radius of the center circle arc MN as (R i +R o )/2; defining a bisector of the refining segment as OB; and intersecting the center circle arc in the refining segment with OB at a point B, making BD passing through the point B at the top right of OB if the curved bars are right-hand bars and making BD passing through the point B at the top left of OB if the curved bars are left-hand bars;
representing an included angle between BD and OB by α, selecting any point A from an inner circle in the refining segment as a starting point of the curve bars, connecting the points O and A, making a circle O 1 passing through the points A and B by using BD as a tangent line, making a tangent line AE, passing through the point A, which is tangent to the circle O 1 with an included angle between AE and OA represented by β, with a line perpendicular to the tangent line AE and a line perpendicular to BD intersecting at a point O 1 and the radius of the circle O 1 being measured as R 1 ; and
obtaining an intersected portion of the circle O 1 with inner and outer circles in the refining segment as a center line for curved bars, and assuming that an included angle a between the tangent line BD that is tangent to the center line for curved bars at the point B and OB starting from the point B in the radius direction is the angle of inclination of the equidistant curved bars and an included angle βbetween the tangent line AE that is tangent to the circle O 1 at the point A and OA is a starting angle of inclination of the equidistant curved bars;
substep 2): designing a center circle arc AC for the equidistant curved bars by determining the points A and B and defining a bar angle a, wherein A is the starting point of the center arc for the bars, which can be expressed by (γ, r A ), where γ is an included angle between the OA and the center line of the refining segment, r A is the radius of the circle where the starting point is located, and then the center arc AC for the equidistant curved bars can be determined by the point A and the bar angle α; and
obtaining an equation for the circle O 1 according to the polar coordinate system by:
using the point O 1 as a pole and drawing a horizontal ray O-x from the pole as a polar axis, using the clockwise direction as the 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
1

⁢
cos
⁢

⁢
θ

y
=

R
1

×
sin
⁢

⁢
θ

}

(
1
)

wherein the equation (1) is the equation for the circle of the center circle arc AC for the equidistant curved bars;
substep 3): setting the width of the curved bars as b, and respectively representing equations for inner and outer circle arcs for the center bars as:

{

x
=

(

R
1

+

b
2

)

⁢
cos
⁢

⁢
θ

y
=

(

R
1

+

b
2

)

⁢
sin
⁢

⁢
θ

}

⁢

Assignees

• Shaanxi Univ Of Science & Technology

Inventors

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

Classifications

• B22D46/00 Primary

  Controlling, supervising, not restricted to casting covered by a single main group, e.g. for safety reasons (controlling or regulating in general G05) · CPC title

• B22D25/02 Primary

  by its peculiarity of shape; of works of art {(cylinders, pistons B22D15/02)} · CPC title

• B24D7/00 Primary

  Bonded abrasive wheels, or wheels with inserted abrasive blocks, designed for acting otherwise than only by their periphery, e.g. by the front face; Bushings or mountings therefor · CPC title

• B02C7/12

  Shape or construction of discs · CPC title

• D21D1/306

  Discs · CPC title