Abrasive article having a non-uniform distribution of openings

Patent metadata

Field	Value
Publication number	US-10076820-B2
Application number	US-201715481526-A
Country	US
Kind code	B2
Filing date	Apr 7, 2017
Priority date	Dec 31, 2011
Publication date	Sep 18, 2018
Grant date	Sep 18, 2018

Abstract

An abrasive article having a plurality of apertures arranged in a non-uniform distribution pattern, wherein the pattern is spiral or phyllotactic, and in particular those patterns described by the Vogel equation. Also, provided is a back-up pad having a spiral or phyllotactic patterns of air flow paths, such as in the form of open channels. The back-up pad can be specifically adapted to correspond with an abrasive article having a non-uniform distribution pattern. Alternatively, the back-up pad can be used in conjunction with conventional perforated coated abrasives. The abrasive articles having a non-uniform distribution pattern of apertures and the back-up pads can be used together as an abrasive system.

First claim

What is claimed is:

1. A back-up pad comprising:
a plurality of air flow paths disposed in a pattern,
wherein the pattern of air flow paths comprises a combination of clock-wise radiating spiral paths and counter clock-wise radiating spiral paths.

2. The back-up pad of claim 1 , wherein the pattern of air flow paths comprises a combination of inner radiating spiral paths and outer radiating spiral paths.

3. The back-up pad of claim 1 , wherein the pattern of air flow paths further comprises an annular airflow path that intersects the radiating spiral paths.

4. A back-up pad comprising: a pattern of air flow paths, wherein the pattern of air flow paths is generated from x and y co-ordinates of a controlled non-uniform distribution pattern, and
wherein:

[

x
′

y
′

]

=

[

cos
⁢

⁢
θ

-

sin
⁢

⁢
θ

sin
⁢

⁢
θ
⁢

⁢
cos
⁢

⁢
θ

]

⁡

[

x

y

]

.

(
II
)

5. The back-up pad of claim 4 , wherein the pattern of air flow paths comprises a spiral pattern or a phyllotactic pattern.

6. The back-up pad of claim 4 , wherein the controlled non-uniform distribution pattern is a phyllotactic pattern.

7. The back-up pad of claim 6 , wherein the controlled non-uniform distribution pattern is the Vogel equation.

8. The back-up pad of claim 4 , wherein n is any integer from 1 to 10.

9. The back-up pad of claim 8 , wherein n is 1, 2, 3, 4, 5, or 6.

10. The back-up pad of claim 4 , wherein the pattern of air flow paths comprises a plurality of openings, cavities, channels, passages, or combinations thereof.

11. The back-up pad of claim 10 , wherein the pattern of air flow paths comprises open channels disposed in a resilient material.

12. A back-up pad comprising:
a plurality of air flow paths disposed in a pattern adapted to correspond with a controlled non-uniform distribution pattern or a random distribution pattern,

wherein x and y co-ordinates of the controlled non-uniform distribution pattern or the random distribution pattern are transposed and rotated according to Equation (II), below, to determine x′ and y′ co-ordinates of the pattern of the air flow paths, wherein θ is equal to π/n in radians and n is any integer:

[

x
′

y
′

]

=

[

cos
⁢

⁢
θ

-

sin
⁢

⁢
θ

sin
⁢

Assignees

• Saint Gobain Abrasives Inc
• Saint Gobain Abrasifs Sa

Inventors

• Seth Anuj
• Dinh-Ngoc Julie M
• Cheruvari Kottieth Raman Vivek
• Krupa Paul A
• Garrah James M

Classifications

• C09G1/02

  containing abrasives or grinding agents {(abrasives as such C09K3/14; polishing of semi-conductors H10P52/40)} · CPC title

• B24D11/00 Primary

  Constructional features of flexible abrasive materials; Special features in the manufacture of such materials · CPC title

• B24D2203/00

  Tool surfaces formed with a pattern · CPC title

• C09K3/1409 Primary

  Abrasive particles per se (preparation of diamond C01B32/25) · CPC title

• B24D9/08

  Circular back-plates for carrying flexible material · CPC title