Method for Controlling a Wall Saw System When Making a Separating Cut
20170291324 · 2017-10-12
Assignee
Inventors
- Wilfried Kaneider (Rankweil, AT)
- Dragan Stevic (Feldkirch-Tosters, AT)
- Christian Bereuter (Lingenau, AT)
- Dieter Profunser (Zwischenwasser, AT)
Cpc classification
B28D1/045
PERFORMING OPERATIONS; TRANSPORTING
B28D7/005
PERFORMING OPERATIONS; TRANSPORTING
B28D1/044
PERFORMING OPERATIONS; TRANSPORTING
International classification
B28D7/00
PERFORMING OPERATIONS; TRANSPORTING
Abstract
A method for controlling a wall system when creating a separating cut in a workpiece between a first and a second end point is disclosed. The wall saw system includes a wall saw having a saw head, a pivotable saw arm, a saw blade and a blade guard. The separating cut is carried out in a plurality of main cuts. The pivoting movement of the saw arm in a main cutting angle is carried out in at least two steps with at least one intermediate angle, where a free cut of the saw blade is carried out in the respective intermediate angle between the pivoting movements of the saw arm.
Claims
1.-14. (canceled)
15. A method for controlling a wall saw system, wherein the wall saw system comprises a guide track and a wall saw with a saw head, a motorized feed unit that displaces the saw head parallel to a feed direction along the guide track, at least one saw blade that is attached to a saw arm which is pivotable about a pivot axis of a saw head and is driven about a rotation axis, and at least one removable blade guard enclosing the saw blade; and comprising the steps of: making a separating cut of an end depth (T) in a workpiece having a workpiece thickness (d) between a first end point (E.sub.1) and a second end point (E.sub.2); wherein, prior to starting a processing of the separating cut, controlled by a control unit of the wall saw system, at least a saw blade diameter (D) of at least one saw blade, positions of the first and second end points (E.sub.1, E.sub.2) in the feed direction, the end depth (T) of the separating cut, and a main cutting sequence of m main cuts, where m≧2, are established; wherein the main cutting sequence comprises at least a first main cut having a first main cutting angle (α.sub.1) of the saw arm and a first diameter (D.sub.1) of the utilized saw blade and a following second main cut having a second main cutting angle (α.sub.2) of the saw arm and a second diameter (D.sub.2) of the utilized saw blade; wherein, during the processing controlled by the control unit: the first main cut is performed with the saw arm tilted at a positive or a negative first main cutting angle (±α.sub.1); and the second main cut is performed with the saw arm tilted at a positive or a negative second main cutting angle (±α.sub.2); wherein a pivot motion of the saw arm from the first main cutting angle (±α.sub.1) into a new main cutting angle (±α.sub.1, ±α.sub.2) is performed in at least two steps with at least one intermediate angle (±β.sub.1, ±β.sub.2), wherein between pivot motions of the saw arm, there occurs in the at least one intermediate angle (±β.sub.1, ±β.sub.2) a free-cutting of the saw blade in each case.
16. The method according to claim 15, wherein the pivot motion of the saw arm from the first main cutting angle (±α.sub.1) into the new main cutting angle (±α.sub.1, ±α.sub.2) is performed in n steps with n−1 intermediate angles (±β.sub.1,j, ±β.sub.2,j), j=1 to n−1, wherein between the pivot motions of the saw arm, there occurs in the at least one intermediate angle ((±β.sub.1,j, ±β.sub.2,j)) a free-cutting of the saw blade in each case.
17. The method according to claim 15, wherein prior to starting the processing controlled by the control unit, a saw arm length (δ) of the saw arm, which is defined as a distance between the pivot axis and the rotation axis, and a distance (Δ) between the pivot axis and a top side of the workpiece are also established.
18. The method according to claim 17, wherein prior to starting the controlled processing, a first width (B.sub.1) is established for a blade guard used in the first main cut and a second width (B.sub.2) is established for a blade guard used in the second main cut, wherein the first and second widths (B.sub.1, B.sub.2) respectively are comprised of a first distance (B.sub.1a, B.sub.2a) of the rotation axis to a first blade guard edge of the blade guard and a second distance (B.sub.1b, B.sub.2b) of the rotation axis to a second blade guard edge of the blade guard.
19. The method according to claim 17, wherein the pivot motion from the first main cutting angle (±α.sub.1) into the new main cutting angle (±α.sub.1, ±α.sub.2) occurs at the first end point E.sub.1, and the saw head in the j.sup.th step, j=1 to n−1, is positioned in such a manner that after the pivot motion of the saw arm into the j.sup.th intermediate angle (±β.sub.1,j), a first boundary, facing the first end point (E.sub.1), of the wall saw coincides with the first end point (E.sub.1), wherein the first boundary is formed by a first upper exit point, facing the first end point (E.sub.1), of the utilized saw blade on the top side of the workpiece when the first end point (E.sub.1) represents a free end point without an obstacle, by a first saw blade edge, facing the first end point (E.sub.1), of the utilized saw blade when the first end point (E.sub.1) represents an obstacle and the cutting occurs without a blade guard, and by a first blade guard edge, facing the first end point (E.sub.1), of the utilized blade guard when the first end point (E.sub.1) represents an obstacle and cutting occurs with a blade guard.
20. The method according to claim 19, wherein after the pivot motion of the saw arm into the j.sup.th intermediate angle (±β.sub.1,j), where j=1 to n−1, the first upper exit point coincides with the first end point (E.sub.1) when the pivot axis has a distance to the first end point (E.sub.1) of √[h(±β.sub.1,j).Math.(D−h(±β.sub.1,j))]−δ.Math.sin(±β.sub.1,j) wherein h(±β.sub.1,j)=D/2−Δ−δ.Math.cos(±β.sub.1,j) refers to a penetration depth of the utilized saw blade into the workpiece for the j.sup.th intermediate angle (±β.sub.1,j), the first saw blade edge of the utilized saw blade coincides with the first end point (E.sub.1) when the pivot axis has a distance to the first end point (E.sub.1) of D/2−δ.Math.sin(±β.sub.1,j), and the first blade guard edge of the utilized blade guard coincides with the first end point (E.sub.1) when the pivot axis has a distance to the first end point (E.sub.1) of B.sub.a−δ.Math.sin(±β.sub.1,j).
21. The method according to claim 20, wherein the saw head in the j.sup.th step, where j=1 to n−1, with the saw arm tilted at the j.sup.th intermediate angle (±β.sub.1,j) is moved by a displacement distance of √[h.sub.2.Math.(D−h.sub.2)]−δ.Math.sin(±α.sub.2), wherein h.sub.2=h(±α.sub.2, D)=D/2−Δ−δ.Math.cos(±α.sub.2) refers to the penetration depth of the utilized saw blade into the workpiece for the second main cutting angle (±α.sub.2).
22. The method according to claim 21, wherein the saw head after the n−1.sup.th step is positioned in such a manner that after the pivot motion of the saw arm into the new main cutting angle (±α.sub.1, ±α.sub.2), the first boundary, facing the first end point (E.sub.1), of the wall saw coincides with the first end point (E.sub.1).
23. The method according to claim 22, wherein after the pivot motion of the saw arm into the second main cutting angle (±α.sub.2), the first upper exit point coincides with the first end point (E.sub.1) when the pivot axis has a distance to the first end point (E.sub.1) of √[h.sub.2.Math.(D−h.sub.2)]−δ.Math.sin(±α.sub.2), wherein h(±α.sub.2)=D/2−Δ−δ.Math.cos(±α.sub.2) refers to the penetration depth of the utilized saw blade into the workpiece for the second main cutting angle (±α.sub.2) with the second diameter (D.sub.2), the first saw blade edge of the utilized saw blade coincides with the first end point (E.sub.1) when the pivot axis has a distance to the first end point (E.sub.1) of D.sub.2/2−δ.Math.sin(±α.sub.2), and the first blade guard edge of the utilized blade guard coincides with the first end point (E.sub.1) when the pivot axis has a distance to the first end point (E.sub.1) of B.sub.2a−δ.Math.sin(±α.sub.2).
24. The method according to claim 17, wherein the pivot motion from the first main cutting angle (±α.sub.1) into the new main cutting angle (±α.sub.1, ±α.sub.2) occurs at the second end point (E.sub.2) and the saw head in the j.sup.th intermediate cut, j=1 to n−1, is positioned in such a manner that after the pivot motion of the saw arm into the j.sup.th intermediate angle (±.sub.2,j), a second boundary, facing the second end point (E.sub.2), of the wall saw coincides with the second end point (E.sub.2), wherein the second boundary of the wall saw is formed by a second upper exit point, facing the second end point (E.sub.2), of the utilized saw blade on the top side of the workpiece when the second end point (E.sub.2) represents a free end point without an obstacle, by a second saw blade edge, facing the second end point (E.sub.2), of the utilized saw blade when the second end point (E.sub.2) represents an obstacle and the processing occurs without a blade guard, and by a second blade guard edge, facing the second end point (E.sub.2), of the utilized blade guard when the second end point (E.sub.2) represents an obstacle and the processing occurs with a blade guard.
25. The method according to claim 24, wherein after the pivot motion of the saw arm into the j.sup.th intermediate angle (±β.sub.2,j), where j=1 to n−1, the second upper exit point coincides with the second end point (E.sub.2) when the pivot axis has a distance to the second end point (E.sub.2) of √[h(±.sub.2,j).Math.(D−h(±.sub.2,j))]+δ.Math.sin(±β.sub.2,j), wherein h(±.sub.2,j)=D/2−Δ−δ.Math.cos(±β.sub.2,j) refers to the penetration depth of the utilized saw blade into the workpiece for the j.sup.th intermediate angle (±.sub.2,j), the second saw blade edge of the utilized saw blade coincides with the second end point (E.sub.2) when the pivot axis has a distance to the second end point (E.sub.2) of D/2+δ.Math.sin(±β.sub.2,j), and the second blade guard edge of the utilized blade guard coincides with the second end point (E.sub.2) when the pivot axis has a distance to the second end point of B.sub.b+δ.Math.sin(±β.sub.2,j).
26. The method according to claim 25, wherein the saw head in the j.sup.th step, where j=1 to n−1, with the saw head tilted at the j.sup.th intermediate angle (±.sub.2,j) is moved by a displacement distance of √[h.sub.2.Math.(D−h.sub.2)]−δ.Math.sin(±α.sub.2), wherein h.sub.2=h(±α.sub.2, D)=D/2−Δ−δ.Math.cos(±α.sub.2) refers to the penetration depth of the utilized saw blade into the workpiece for the second main cutting angle (±α.sub.2).
27. The method according to claim 26, wherein the saw head after the n−1.sup.th step is positioned in such a manner that after the pivot motion of the saw arm into the new main cutting angle (±α.sub.1, ±α.sub.2), the second boundary facing the second end point (E.sub.2), of the wall saw coincides with the second end point (E.sub.2).
28. The method according to claim 27, wherein after the pivot motion of the saw arm into the second main cutting angle (±α.sub.2), the second upper exit point coincides with the second end point (E.sub.2) when the pivot axis has a distance to the second end point (E.sub.2) of √[h.sub.2.Math.(D−h.sub.2)]+δ.Math.sin(±α.sub.2), wherein h(±α.sub.2)=D/2−Δ−δ.Math.cos(±α.sub.2) refers to the penetration depth of the utilized saw blade into the workpiece for the second main cutting angle (±α.sub.2), the second saw blade edge of the utilized saw blade coincides with the second end point (E.sub.2) when the pivot axis has a distance to the second end point (E.sub.2) of D/2+δ.Math.sin(±α.sub.2), and the second blade guard edge of the utilized blade guard coincides with the second end point (E.sub.2) when the pivot axis has a distance to the second end point (E.sub.2) of B.sub.2b+δ.Math.sin(±α.sub.2).
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0027]
[0028]
[0029]
[0030]
[0031]
DETAILED DESCRIPTION OF THE DRAWINGS
[0032]
[0033] To protect the operator, saw blade 16 is enclosed by a blade guard 21, which is attached to saw arm 17. Saw arm 17 is designed to be pivotable by a pivot motor 22 about a pivot axis 23. Pivot angle α of saw arm 17 along with a saw blade diameter D of saw blade 16 determines how deep saw blade 16 penetrates into a workpiece 24 to be cut. Drive motor 18 and pivot motor 22 are arranged in a device housing 25. Motorized feed unit 15 comprises a guide carriage 26 and a feed motor 27, which in the embodiment is also arranged in device housing 25. Saw head 14 is attached on guide carriage 26 and is designed to be displaceable via feed motor 27 along guide track 11 in a feed direction 28. Arranged in device housing 25 are, besides motors 19, 22, 27, a control unit 29 for controlling saw head 14 and motorized feed unit 15.
[0034] To monitor wall saw system 10 and the cutting process, a sensor device having multiple sensor elements is provided. A first sensor element 32 is designed as a pivot angle sensor and a second sensor element 33 is designed as a displacement sensor. Pivot angle sensor 32 measures the current pivot angle of saw arm 17 and displacement sensor 33 measures the current position of saw head 14 on guide track 11. The measurement variables are transmitted by pivot angle sensor 32 and displacement sensor 33 to control unit 29 and are used to control wall saw 12.
[0035] Remote control 13 comprises a device housing 35, an input device 36, a display device 37, and a control unit 38, which is arranged inside device housing 35. Control unit 38 converts the inputs of input device 36 into control commands and data, which are transmitted via a first communications link to wall saw 12. The first communications link is designed as a wire- and cable-less communications link 41 or as communications cable 42. The wire- and cable-less communications link is designed in the embodiment as radio link 41, which is formed between a first radio unit 43 on remote control unit 13 and a second radio unit 44 on tool device 12. Alternatively, the wire- and cable-less communications link 41 may be designed in the form of an infrared, Bluetooth, WLAN, or WiFi link.
[0036]
[0037] The end point of a separating cut may be defined as a free end point without an obstacle or as an obstacle. Both end points can thereby be defined as free end points without obstacles, both end points as obstacles, or an end point as a free end point and the other end point as an obstacle. An overcut may be permitted at a free end point without an obstacle. By means of the overcut, the cutting depth at the end point reaches end depth T of the separating cut. In the embodiments of
[0038]
[0039] Alternatively, a different X-position can be established as a reference position on saw head 14, wherein the distance in direction X to pivot axis 23 must be known in this case.
[0040] In the embodiment, the X-positions of first and second end points E.sub.1, E.sub.2 are established by entering partial lengths. The distance between installation position X.sub.0 and first end point E.sub.1 are determined by a first partial length L.sub.1 and the distance between installation position X.sub.0 and second end point E.sub.2 are determined by a second partial length L.sub.2. Alternatively, the X-positions of end points E.sub.1, E.sub.2 may be established by entering a partial length (L.sub.1 or L.sub.2) and a total length L as a distance between end points E.sub.1, E.sub.2.
[0041] Separating cut 51 is made in multiple partial cuts until the desired end depth T is reached. The partial cuts between the first and second end points E.sub.1, E.sub.2 are defined as main cuts and the cutting sequence of the main cuts is defined as the main cutting sequence. At the end points of the separating cut, one can perform additional corner-cutting that is referred to as obstacle cutting for an obstacle, and overcut cutting for a free end point with overcutting.
[0042] The main cutting sequence can be established by the operator or the main cutting sequence can be established by the control unit of the wall saw system as a function of multiple boundary conditions. Conventionally, the first main cut, which is also referred to as a precut, is carried out with a reduced cutting depth and reduced power of the drive motor to prevent the saw blade from becoming polished. The additional main cuts are generally performed with the same cutting depth, but they may also have various cutting depths. The boundary conditions typically established by an operator include the cutting depth of the precut, the efficiency of the precut, and the maximum cutting depth of the additional main cuts. From these boundary conditions, the control unit can determine the main cutting sequence.
[0043] The main cuts of a separating cut are performed with one saw blade diameter or with two or more saw blade diameters. If multiple saw blades are used, the cutting generally begins with the smallest saw blade diameter. To be able to assemble saw blade 16 on saw arm 17, saw blade 16 must be arranged in the basic position of saw arm 17 above workpiece 24. Whether this boundary condition is met depends on two device-specific variables of wall saw system 10: on the one hand, a perpendicular distance Δ between pivot axis 23 of saw arm 17 and on the other, a top side 53 of workpiece 24 and a saw arm length δ of saw arm 17, which is defined as the distance between rotation axis 19 of saw blade 16 and pivot axis 23 of saw 17. When the sum of these two device-specific variables is greater than half the saw blade diameter D/2, saw blade 16 is arranged in the basic position above workpiece 24. Saw blade length δ is a fixed device-specific variable of wall saw 12, whereas perpendicular distance Δ between pivot axis 23 and surface 53 depends, besides on the geometry of wall saw 12, also on the geometry of utilized guide track 11.
[0044] Saw blade 16 is attached on a flange on saw arm 17 and is driven in sawing mode by drive motor 18 about rotation axis 19. In the basic position of saw arm 17, which is depicted in
[0045] To protect the operator, saw blade 16 is to be enclosed by blade guard 21 when in operation. Wall saw 12 is operated with blade guard 21 or without blade guard 21. To make the separating cut in the region of end points E.sub.1, E.sub.2, removal of blade guard 21 may be provided for example. If various saw blade diameters are used to make the separating cut, one generally also uses various blade guards with corresponding blade guard widths.
[0046]
[0047] Given a pivot angle of ±180°, the maximum penetration depth of saw blade 16 into workpiece 24 is reached. By means of the pivot motion of saw arm 17 about pivot axis 23, the position of rotation axis 19 is shifted in direction X and direction Y. The shift of rotation axis 19 is thereby dependent on saw arm length δ and pivot angle α of saw arm 17. The displacement distance δ.sub.x in direction X amounts to δ.Math.sin(±α) and the displacement distance δ.sub.y in direction Y amounts to δ.Math.cos(±α).
[0048] In workpiece 24, saw blade 16 produces a cutting wedge in the form of a circular segment having a height h and a width b. Height h of the circular segment corresponds to the penetration depth of saw blade 16 in workpiece 24. For penetration depth h, equation D/2=h+Δ+δ.Math.cos(α) applies, wherein D is the saw blade diameter, h is the penetration depth of saw blade 16, Δ is the perpendicular distance between pivot axis 23 and top side 53 of workpiece 24, δ is the saw arm length, and a is the first pivot angle; for width b, the equation b.sup.2=D/2−8h−4h.sup.2=4Dh−4h.sup.2=4h.Math.(D−h), wherein h is the penetration depth of saw blade 16 in workpiece 24 and D is the saw blade diameter.
[0049] Controlling wall saw 12 during the separating cut depends on whether the end points are defined as obstacles, and for an obstacle, whether cutting occurs with blade guard 21 or without blade guard 21. For a free end point without an obstacle, controlling wall saw 12 in the method according to the invention occurs by means of upper exit points of saw blade 16 on top side 53 of workpiece 24. The upper exit points of saw blade 16 can be calculated from reference position X.sub.Ref of pivot axis 23 in direction X, displacement path δ.sub.x of rotation axis 19 in direction X, and width b. An upper exit point facing first end point E.sub.1 is referred to as first upper exit point 58 and an upper exit point facing second end point E.sub.2 is referred to as second upper exit point 59. For first upper exit point 58, X(58)=X.sub.Ref+δ.sub.x−b/2 applies, and for second upper exit point 59, X(59)=X.sub.Ref+δ.sub.x+b/2 applies where b=√[h (D−h)] and h=h(α, D).
[0050] If end points E.sub.1, E.sub.2 are defined as obstacles, overrunning end points E.sub.1, E.sub.2 with wall saw 12 is not possible. In this case, wall saw 12 in the method according to the invention is controlled via reference position X.sub.Ref of pivot axis 23 and the boundary of wall saw 12. One thereby differentiates between processing without blade guard 21 and processing with blade guard 21.
[0051]
[0052] The X-positions of the first and second saw blade edge 61, 62 in direction X can be calculated from reference position X.sub.Ref of pivot axis 23, displacement distance δ.sub.x of rotation axis 19 and saw blade diameter D.
[0053]
[0054] The X-positions of the first and second blade guard edge 71, 72 in direction X can be calculated from reference position X.sub.Ref of pivot axis 23, displacement distance δ.sub.x of rotation axis 19 and blade guard width B.
[0055] For first blade guard edge 71, X(71)=X.sub.Ref+δ sin(α)−B.sub.a applies, and for the second blade guard edge 72, X(72)=X.sub.Ref+δ sin(α)+B.sub.b applies.
[0056]
[0057] First upper exit point 58, first saw blade edge 61, and first blade guard edge 71 are combined under the term “first boundary” of wall saw 12 and the second upper exit point 59, second saw blade edge 62 and second blade guard edge 72 are combined under the term “second boundary.”
[0058]
[0059] Processing the separating cut occurs using the method according to the invention for controlling a wall saw system. The separating cut is made in a main cutting sequence of multiple main cuts until the desired end depth T is reached. The main cutting sequence comprises a first main cut having a first main cutting angle at of saw arm 17, a first diameter D.sub.1, and a first penetration depth h.sub.1 of the utilized saw blade, a second main cut having a second main cutting angle α.sub.2 of saw arm 17, a second diameter D.sub.2, and a second penetration depth h.sub.2 of the utilized saw blade, as well as a third main cut having a third main cutting angle α.sub.3 of saw arm 17, a third diameter D.sub.3, and a third penetration depth h.sub.3 of the utilized saw blade.
[0060] The first, second, and third main cuts are performed by saw blade 16 having saw blade diameter D and by blade guard 21 having blade guard width B. The diameters D.sub.1, D.sub.2, D.sub.3 of main cuts coincide with saw blade diameter D; likewise, widths B.sub.1, B.sub.2, B.sub.3 of main cuts coincide with blade guard width B.
[0061] The main cuts of a separating cut are performed advantageously either with a saw arm 17 in a pulling configuration or saw arm 17 is arranged alternatingly in a pulling and pushing configuration. The pulling configuration of saw arm 17 allows for a stable guiding of the saw blade when cutting and a narrow cutting gap. A separating cut, in which saw arm 17 is configured in an alternating pulling and pushing manner, has the advantage that the non-productive times required to position saw head 14 and pivoting around saw arm 17 are reduced. In the embodiment, saw head 14 in the first main cut and third main cut along with saw arm 17 configured in a pulling manner is moved in positive feed direction 56; for the intermediate second main cut, saw head 14 with saw arm 17 configured in a pushing manner is moved in negative direction 57. In the three main cuts, saw arm 17 is arranged in each case in negative rotation direction 54.
[0062] The processing of the separating cut begins at first end point E.sub.1. After starting the method according to the invention, saw head 14 is positioned in a start position X.sub.Start, in which pivot axis 23 has a distance of √[h.sub.1.Math.(D.sub.1−h.sub.1)]−δ.Math.sin(−α.sub.1) to first end point E.sub.1, wherein h.sub.1=h(−α.sub.1, D.sub.1)=D.sub.1/2−Δ−δ.Math.cos(−α.sub.1) refers to the penetration depth of the utilized saw blade into workpiece 24 for a negative first main cutting angle −α.sub.1 with first diameter D.sub.1. First diameter D.sub.1 for the first main cut thereby corresponds to sawblade diameter D. In start position X.sub.Start, saw arm 17 is pivoted out of the basic position at 0° in negative rotation direction 54 into negative first cutting angle −α.sub.1. After the pivot motion into negative first cutting angle −α.sub.1, first blade guard edge 71 of blade guard 21 abuts the obstacle at first end point E.sub.1. Then, saw head 14, with saw arm 17 tilted at negative first main cutting angle −α.sub.1 and rotating saw blade 16, is moved into positive feed direction 56 (
[0063] The feed motion of saw head 14 is stopped when pivot axis 23 has a distance to second end point E.sub.2 of √[h.sub.1.Math.(D.sub.1−h.sub.1)]+δ.Math.sin(−α.sub.1), wherein h.sub.1=h(−α.sub.1, D.sub.1)=D.sub.1/2−Δ−δ.Math.cos(−α.sub.1) refers to the penetration depth of the utilized saw blade into workpiece 24 given a negative first main angle −α.sub.1 with first diameter D.sub.1, which corresponds to saw blade diameter D. In this position, second upper exit point 59, facing second end point E.sub.2, of saw blade 16 coincides with second end point E.sub.2.
[0064] The pivot motion from negative first main cutting angle −α.sub.1 into negative second main cutting angle −α.sub.2 occurs in two steps with an intermediate angle −β.sub.2,1. Regarding the intermediate angle, the first index indicates whether the pivot motion occurs at first or second end point E.sub.1, E.sub.2, wherein index “1” stands for first E.sub.1 and index “2” stands for second end point E.sub.2. The second index indicates the step and varies from 1 to n−1, n≧2. After the pivot motion of saw arm 17 into intermediate angle −β.sub.2,1, a free-cutting of saw blade 16 occurs.
[0065] Saw head 14 is positioned in feed direction 28 in such a manner that pivot axis 23 has a distance to second end point E.sub.2 of √[h.sub.2(−β.sub.2,1)].Math.(D−h(−β.sub.2,1))]+δ.Math.sin(−β.sub.1,1), wherein h(−β.sub.2,1)=D.sub.2/2−Δ−δ.Math.cos(−β.sub.2,1) refers to the penetration depth of the utilized saw blade in workpiece 24 given intermediate angle −β.sub.2,1 (
[0066] For cutting saw blade 16 free, saw head 14 is moved in negative feed direction 57 by a displacement distance of √[h.sub.2.Math.(D.sub.2−h.sub.2)], wherein h.sub.2=h(−α.sub.2, D.sub.2)=D.sub.2/2−Δ−δ.Math.cos(−α.sub.2) refers to the penetration depth of the saw blade into workpiece 24 given a negative second main cut angle −α.sub.2 with second diameter D.sub.2, which corresponds to saw blade diameter D (
[0067] Saw head 14 is moved in negative feed direction 57 toward first end point E.sub.1, wherein the position of saw head 14 during the feed motion is measured on a regular basis by displacement sensor 33. The feed motion of saw head 14 is stopped when pivot axis 23 has a distance of B.sub.2/2−δ.Math.sin(−α.sub.2) to first end point E.sub.1 and first blade guard edge 71 of blade guard 21 abuts the obstacle at first end point E.sub.1 (
[0068] The pivot motion from negative main cutting angle −α.sub.2 into negative third main cutting angle −α.sub.3 occurs in two steps with an intermediate angle −γ.sub.2,1. Regarding the intermediate angle, the first index indicates whether the pivot motion occurs at first or second end point E.sub.1, E.sub.2, wherein index “1” stands for first E.sub.1, and index “2” stands for second end point E.sub.2. The second index indicates the step and varies from 1 to n−1, n≧2.
[0069] Prior to the pivot motion of saw arm 17 into intermediate angle −γ.sub.2,1, a positioning of saw head 14 occurs. Since the positioning occurs at the obstacle at E.sub.1 and intermediate angle −γ.sub.2,1 is less than −90°, it is not possible to position saw head 14 in such a manner that second blade guard edge 72 abuts obstacle E.sub.1 after the pivot motion into intermediate angle −γ.sub.2,1. The positioning of saw head 14 occurs by means of critical angle α.sub.krit of −90° and saw arm 17 is subsequently pivoted into intermediate angle −β.sub.2,1 (
[0070] After the pivot motion of saw arm 17 into intermediate angle −γ.sub.2,1, a free-cutting of saw blade 16 occurs. To do so, saw head 14, with saw arm 17 tilted at intermediate angle −γ.sub.2,1 and rotating saw blade 16, is moved in positive feed direction 56 by a displacement distance of √[h.sub.3.Math.(D.sub.3−h.sub.3)] (
[0071] Since the third main cut represents the last main cut of the main cutting sequence, there occurs prior to making the last main cut a corner cutting of first end point E.sub.1. To do so, saw head 14, with saw arm 17 tilted at −α.sub.3, is moved in negative feed direction 57 until first blade guard edge 71 of blade guard 21 abuts the obstacle at first end point E.sub.1(
[0072] After the corner-cutting of first end point E.sub.1, the third main cut, with saw arm 17 tilted at negative third main cutting angle −α.sub.3, is performed in positive feed direction 56 (