Curve cutting with a circular saw blade

1. A method for curve sawing a curved block in a cutting direction with a division saw that includes at least a first circular saw blade, such that the division saw cuts the block along a desired cutting path that follows the curvature of the block and extends through opposite first and second sides of the block, wherein the cutting direction lies within a first plane and the first circular saw blade lies within said first plane while in a reference position, and the first circular saw blade is rotatable about a rotational axis, which method comprises:

determining a first inclination angle for the first circular saw blade relative to the first plane based at least on a radius of curvature of a first portion of the block, wherein the first inclination angle is an angle of inclination about a first axis, and the first axis extends through the axis of rotation and the circular saw blade generally parallel to the cutting direction; and

causing a control unit operatively coupled with the first circular saw blade to incline the first circular saw blade about a first axis, in a first direction, to a first inclination angle to thereby position the first circular saw blade to saw the first portion of the block along the curvature, wherein the first inclination angle is an angle of inclination about a first axis, and the first axis extends through the axis of rotation and the circular saw blade generally parallel to the cutting direction, and wherein the first inclination angle is an angle at which the first circular saw blade is positioned to enter and exit the block along the cutting path.

2. The method of claim 1 , further including

obtaining one or more measurements of the curvature of the first portion of the block; and

determining the radius of curvature based on the one or more measurements.

3. The method of claim 2 , wherein obtaining the one or more measurements includes obtaining the one or more measurements while cutting a preceding portion of the block.

4. The method of claim 1 , wherein determining the first inclination angle includes identifying the first inclination angle from a look-up table based at least on the radius of curvature of the first portion of the block, wherein the look-up table contains a plurality of curve radii and associated corresponding angles of inclination relative to the first plane.

5. The method of claim 1 , wherein the first inclination angle is determined based at least in part on a diameter of the first circular saw blade or a distance between a center of the first circular saw blade and a saw base on which the block is placed.

6. The method of claim 5 , wherein determining the first inclination angle includes calculating the first inclination angle according to the following algorithm:

β=arctan( X average −X top )/(( d/ 2)− u ),

and wherein

X average =(X start +X end )/2;

X top =R(1−cos α top )/cos α top ;

X end =R(1−cos α end )/cos α end ;

X start =R(1−cos α start )/cos α start ;

α top =arctan (−e/2)/R;

α end =arctan (d/2 sin γ end −(e/2))/R;

α start =arctan (d/2 sin γ start −(e/2))/R;

γ start =arccos (u/(d/2));

γ end =−γ start ;

γ top =0;

u=the vertical distance between the centre of the circular saw blade and the saw base on which the block is placed during the sawing; and

d=diameter of the circular saw blade.

7. The method of claim 1 , wherein the first plane is a vertical plane.

8. The method of claim 1 , wherein the curve sawing is performed by means of the first circular saw blade and a second circular saw blade that is offset in the first plane relative to the first circular saw blade, to thereby jointly create a common saw cut through the first portion of the block along the curvature of said first portion, the method further comprising:

inclining the second circular saw blade, in a second direction that is opposite to the first direction, to an angle of the same magnitude as the first inclination angle such that the first and second circular saw blades are inclined in opposite directions relative to the first plane.

9. The method of claim 8 , further comprising:

determining a second inclination angle for the first circular saw blade about a second axis based at least on the determined radius of curvature, wherein the second axis extends through the first circular saw blade perpendicular to the first axis;

inclining the first circular saw blade about the second axis to the determined second inclination angle; and

inclining the second circular saw blade about a corresponding axis, but in an opposite direction, as the first circular saw blade to a respective inclination angle of the same magnitude as the second inclination angle.

10. The method of claim 9 , wherein determining the second inclination angle includes identifying the second inclination angle from a look-up table based at least on the determined radius, wherein the look-up table contains a plurality of curve radii and associated corresponding angles of inclination relative to the second plane.

11. The method of claim 10 , wherein determining the second inclination angle includes calculating the second inclination angle according to the following algorithm:

ε=arctan(( e/ 2)/ R ),

and wherein:

e/2=a distance in the cutting direction between the centre of the corresponding circular saw blade and a center plane of the radius of curve sawing of the block.

12. The method of claim 10 , wherein the first axis is generally horizontal and the second axis is generally vertical.

13. The method of claim 1 , wherein the first circular saw blade is mounted to a shaft, and wherein inclining the first circular saw blade to the first inclination angle includes inclining the shaft.

14. The method of claim 1 , wherein the first circular saw blade is one of a plurality of circular saw blades disposed in parallel to one another, and wherein inclining the first circular saw blade to the first inclination angle includes inclining the plurality of circular saw blades to the first inclination angle.