CN113254853A - Bending method, bending device, electronic device and readable storage medium - Google Patents
Bending method, bending device, electronic device and readable storage medium Download PDFInfo
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- CN113254853A CN113254853A CN202110618822.6A CN202110618822A CN113254853A CN 113254853 A CN113254853 A CN 113254853A CN 202110618822 A CN202110618822 A CN 202110618822A CN 113254853 A CN113254853 A CN 113254853A
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Abstract
The application provides a bending method, a bending device, an electronic device and a readable storage medium, wherein the method comprises the steps of determining a reference position and an initial bending position of a pipe to be bent, obtaining a first distance between a preset bending position and the reference position of the pipe to be bent, and obtaining a second distance between an actual bending position and the reference position of the pipe to be bent. And determining a deviation value according to the first distance and the second distance, and determining a target bending position of the pipe to be bent according to the initial bending position and the deviation value. The target bending position of the pipe to be bent can be determined by determining the deviation value between the calculated preset bending position and the actual bending position and combining the initial bending position, so that the deviation between the size of the preset part and the size of the bent actual part is reduced.
Description
Technical Field
The application relates to the technical field of bending, in particular to a bending method.
Background
The length of the steel pipe can change in the bending process, so that the deviation between the preset part size and the actual part size after bending exists, especially when more than two bending processes exist, the deviation between the preset part size and the actual part size after bending is large, and the working efficiency and the working precision of the part can be reduced by using the part with the deviation between the preset part size and the actual part size after bending.
Content of application
The embodiment of the application provides a bending method, and the problem that the deviation between the size of a preset part and the size of an actual part is large is solved.
In order to achieve the above object, in a first aspect, an embodiment of the present application provides a bending method, including:
determining a reference position and an initial bending position of a pipe to be bent, wherein the reference position comprises a position located at a half position of the length of the pipe to be bent;
acquiring a first distance between a preset bending position of the pipe to be bent and the reference position, wherein the preset bending position is a first target end point position of the pipe to be bent after the pipe to be bent is bent at the initial bending position, the first target end point position is a position point on a first bending arc far away from the reference position, and the first distance is a horizontal distance between the preset bending position and the reference position;
acquiring a second distance between an actual bending position of the pipe to be bent and the reference position, wherein the actual bending position is a second target end point position of the pipe to be bent after being bent at the initial bending position, the second target end point position is an end point position of a second bending arc far away from the reference position, and the second distance is a horizontal distance between the actual bending position and the reference position;
determining a deviation value according to the first distance and the second distance;
and determining the target bending position of the pipe to be bent according to the initial bending position and the deviation value.
Optionally, the obtaining a second distance between the actual bending position and the reference position includes:
under the condition that the preset bending positions are the same, obtaining N second distances after the pipes to be bent are bent, wherein N is a positive integer larger than 1;
determining a deviation value based on the first distance and the second distance, comprising:
acquiring a second difference value between each second distance and the first distance;
and determining the average value of the N second difference values as the deviation value.
Optionally, determining a target bending position of the pipe to be bent according to the initial bending position and the deviation value includes:
acquiring a third distance between the reference position and the initial bending position;
acquiring a third difference value between the third distance and the deviation value, and determining the third difference value as a fourth distance between the target bending position and the reference position;
and determining the target bending position according to the fourth distance and the reference position.
Optionally, after the step of determining the deviation value according to the first distance and the second distance, the method further includes:
determining the arc length of the second bending arc according to the deviation value;
acquiring target bending data of a pipe to be bent, wherein the target bending data comprises the target bending number and the target length of the part, which is not bent, of the pipe to be bent;
and determining the blanking length of the pipe to be bent according to the arc length and the target bending data.
In a second aspect, an embodiment of the present application provides a bending apparatus, including:
the device comprises a first determining module, a second determining module and a control module, wherein the first determining module is used for determining a reference position and an initial bending position of a pipe to be bent, and the reference position comprises a position located at a half position of the length of the pipe to be bent;
the first obtaining module is used for obtaining a first distance between a preset bending position of the pipe to be bent and the reference position, wherein the preset bending position is a first target end point position of the pipe to be bent after the pipe to be bent is bent at the initial bending position, the first target end point position is a position point on a first bending arc, the position point is far away from the reference position, and the first distance is a horizontal distance between the preset bending position and the reference position;
a second obtaining module, configured to obtain a second distance between an actual bending position of the pipe to be bent and the reference position, where the actual bending position is a second target end position of the pipe to be bent after being bent at the initial bending position, the second target end position is an end position of a second bending arc away from the reference position, and the second distance is a horizontal distance between the actual bending position and the reference position;
the second determining module is used for determining a deviation value according to the first distance and the second distance;
and the third determining module is used for determining the target bending position of the pipe to be bent according to the initial bending position and the deviation value.
Optionally, the second obtaining module includes:
under the condition that the preset bending positions are the same, obtaining N second distances after the pipes to be bent are bent, wherein N is a positive integer larger than 1;
the second determining module includes:
acquiring a second difference value between each second distance and the first distance;
and determining the average value of the N second difference values as the deviation value.
Optionally, the third determining module includes:
acquiring a third distance between the reference position and the initial bending position;
acquiring a third difference value between the third distance and the deviation value, and determining the third difference value as a fourth distance between the target bending position and the reference position;
and determining the target bending position according to the fourth distance and the reference position.
Optionally, after the second determining module, the apparatus further includes:
determining the arc length of the second bending arc according to the deviation value;
acquiring target bending data of a pipe to be bent, wherein the target bending data comprises the target bending number and the target length of the part, which is not bent, of the pipe to be bent;
and determining the blanking length of the pipe to be bent according to the arc length and the target bending data.
In a third aspect, an embodiment of the present application provides an electronic device, which includes a processor, a memory, and a computer program stored in the memory and executable on the processor, and when the computer program is executed by the processor, the steps in the bending method according to the first aspect are implemented.
In a fourth aspect, an embodiment of the present application provides a readable storage medium, where the readable storage medium stores a program, and the program, when executed by a processor, implements the steps in the bending method according to the first aspect.
In the embodiment of the application, the bending method comprises the steps of determining a reference position and an initial bending position of a pipe to be bent, obtaining a first distance between a preset bending position and the reference position of the pipe to be bent, and obtaining a second distance between an actual bending position and the reference position of the pipe to be bent. And determining a deviation value according to the first distance and the second distance, and determining a target bending position of the pipe to be bent according to the initial bending position and the deviation value. The target bending position of the pipe to be bent can be determined by determining the deviation value between the calculated preset bending position and the actual bending position and combining the initial bending position, so that the deviation between the size of the preset part and the size of the bent actual part is reduced.
Drawings
For a clear explanation of the technical solutions in the embodiments of the present application, the drawings of the specification are described below, it is obvious that the following drawings are only embodiments of the present application, and for those skilled in the art, other drawings can be obtained according to the listed drawings without any inventive effort.
Fig. 1 is a flowchart of a bending method provided in an embodiment of the present application;
FIG. 2 is one of schematic structural diagrams of a pipe to be bent according to an embodiment of the present application;
FIG. 3 is a second schematic structural diagram of a pipe to be bent according to an embodiment of the present application;
FIG. 4 is a third schematic structural diagram of a pipe to be bent according to an embodiment of the present application;
FIG. 5 is a fourth schematic structural view of a pipe to be bent according to an embodiment of the present application;
FIG. 6 is a fifth schematic view illustrating a structure of a pipe to be bent according to an embodiment of the present application;
FIG. 7 is a sixth schematic view of a pipe to be bent according to an embodiment of the present application;
FIG. 8 is a seventh schematic structural diagram of a pipe to be bent according to an embodiment of the present application;
FIG. 9 is a schematic structural diagram of a bending apparatus provided in an embodiment of the present application;
fig. 10 is a schematic structural diagram of an electronic device provided in an embodiment of the present application.
Detailed Description
The technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is obvious that the described embodiments are only a part of the embodiments of the present application, and not all of the embodiments. On the basis of the embodiments in the present application, all other embodiments obtained by a person of ordinary skill in the art without any creative effort belong to the protection scope of the present application.
Referring to fig. 1, 2, 3 and 4, an embodiment of the present application provides a bending method, including:
102, obtaining a first distance L1 between a preset bending position of the pipe to be bent and the reference position a, where the preset bending position is a first target end point position C obtained through calculation after the pipe to be bent is bent at the initial bending position B, the first target end point position C is a position point on a first bending arc far away from the reference position a, and the first distance L1 is a horizontal distance between the preset bending position and the reference position a;
103, obtaining a second distance C1 between an actual bending position of the pipe to be bent and the reference position a, where the actual bending position is a second target end point position D of the pipe to be bent after being bent at the initial bending position B, the second target end point position D is an end point position of a second bending arc far away from the reference position a, and the second distance C1 is a horizontal distance between the actual bending position and the reference position a;
104, determining a deviation value according to the first distance L1 and the second distance C1;
and 105, determining a target bending position of the pipe to be bent according to the initial bending position B and the deviation value.
Specifically, the reference position a may be any position on the pipe to be bent, and the selection of the reference position a is determined according to the actual bending requirement.
Referring to fig. 2 and 3, a position at a half of the length of the pipe to be bent can be taken as a reference position a. The distance between the reference position a and the initial bending position B is T1. Under the condition that the preset bending angle is 90 degrees, a first target end point position C of the pipe to be bent after being bent at the initial bending position B is obtained through calculation, and a horizontal distance between the preset bending position and the reference position A, namely a first distance L1, can be obtained through calculation. Under the condition that the preset bending angle is 90 degrees, bending operation is performed on the pipes to be bent which are made of the same material and have the same size, after the pipes to be bent are bent, as shown in fig. 4, the bent pipes after the bending operation are measured, and a second distance C1 between the actual bending position of the pipes to be bent and the reference position A can be measured. The difference between the second distance C1 and the first distance L1, C1-L1, may be determined directly as the offset value. And determining the target bending position of the pipe to be bent according to the initial bending position B and the deviation value, and performing bending operation with the preset bending angle of 90 degrees at the target bending position to reduce the deviation between the preset part size and the actual part size after bending caused by length change of the pipe to be bent in the bending process.
It should be noted that, the deviation values of the pipes to be bent with different preset bending angles, different materials and different sizes are different, but the deviation values can be determined by the method provided by the embodiment of the present application, so as to determine the target bending position of the pipe to be bent.
In the embodiment of the application, the bending method comprises the steps of determining a reference position A and an initial bending position B of a pipe to be bent, obtaining a first distance L1 between a preset bending position of the pipe to be bent and the reference position A, and obtaining a second distance C1 between an actual bending position of the pipe to be bent and the reference position A. And determining a deviation value according to the first distance L1 and the second distance C1, and determining a target bending position of the pipe to be bent according to the initial bending position B and the deviation value. The target bending position of the pipe to be bent can be determined by determining the deviation value between the calculated preset bending position and the actual bending position and combining the initial bending position B, so that the deviation between the size of the preset part and the size of the bent actual part is reduced.
Optionally, the obtaining of the second distance C1 between the actual bending position and the reference position a includes:
under the condition that the preset bending positions are the same, obtaining N second distances C1 after the pipes to be bent are bent, wherein N is a positive integer larger than 1;
determining a deviation value according to the first distance L1 and the second distance C1, including:
obtaining a second difference value of each of the second distances C1 and the first distance L1;
and determining the average value of the N second difference values as the deviation value.
Specifically, in order to avoid errors, after a plurality of pipes to be bent are bent, the N second distances C1 after the pipes to be bent are obtained. It should be understood that the bending operation is performed under the condition that the preset bending angle, the material and the size of the pipe to be bent are the same. By calculating the average value of the N second difference values, errors can be reduced, and the deviation between the preset part size and the bent actual part size is further reduced.
Optionally, referring to fig. 1, the determining, according to the initial bending position B and the deviation value, a target bending position of the pipe to be bent includes:
acquiring a third distance between the reference position A and the initial bending position B;
acquiring a third difference value between the third distance and the deviation value, and determining the third difference value as a fourth distance between the target bending position and the reference position A;
and determining the target bending position according to the fourth distance and the reference position A.
It should be understood that, referring to fig. 1 and 5, the length of the third distance between the reference position a and the initial bending position B is T1, in the case that the deviation value is C1-L1, the fourth distance T3 between the target bending position and the reference position a is T1- (C1-L1), the target bending position E1 is a position on the pipe to be bent, which is at a distance T1- (C1-L1) from the reference position a, and the bending operation is performed at the target bending position E1, so that the deviation between the preset part size and the actual part size after bending can be reduced.
Further, referring to FIG. 5, if two bends are required and located on either side of the reference position A, the target bend position E2 for the second bend is a distance T2 from the reference position A of T1-2(C1-L1) to compensate for the offset C1-L1 from the first bend and the offset C1-L1 from the second bend itself. Similarly, if N bending is needed, where N is a positive integer greater than 2, the target bending position of the pipe to be bent may be determined according to the above method.
Optionally, after the step of determining a deviation value according to the first distance L1 and the second distance C1, the method further includes:
determining the arc length of the second bending arc according to the deviation value;
acquiring target bending data of a pipe to be bent, wherein the target bending data comprises the target bending number and the target length of the part, which is not bent, of the pipe to be bent;
and determining the blanking length of the pipe to be bent according to the arc length and the target bending data.
Specifically, referring to fig. 6, after the deviation value is determined, by measuring a distance L2 between the reference position a and an endpoint N of the second bending arc near the reference position a, the length of half the arc length MN of the second bending arc can be determined, the length of MN being T1- (C1-L1) -L2, and thus the length of the second bending arc being twice as long as T1- (C1-L1) -L2. And under the condition that the target bending number is determined and the target length of the un-bent part of the pipe to be bent is determined, the blanking length of the pipe to be bent is equal to the target length of the un-bent part of the pipe to be bent plus the total bending arc length, and the total bending arc length is equal to the length of the second bending arc multiplied by the target bending number.
Referring to fig. 7 and 8, the pipe to be bent is bent four times under the condition that the preset bending angle is 90 degrees, and the pipe to be bent is symmetrical left and right after being bent. From the above, P1 ═ P2 ═ L2+ arc length MN ═ L2+ T1- (C1-L1) -L2 ═ T1- (C1-L1); p3 ═ P4 ═ X1+2 ═ X1+2 ═ T1- (C1-L1) -L2; p5 ═ P6 ═ X2+ arc length MN ═ X2+ T1- (C1-L1) -L2. Then, the blanking length is 2 (P1+ P3+ P5) ═ 2 (T1- (C1-L1) +2X1+ 2X 2+6 (T1- (C1-L1) -L2) ═ 2(X1+ X2) +8 (T1- (C1-L1) — 6L 2 ═ 2(X1+ X2) -6 (L2 +8 [ T1- (C1-L1) ].
Similarly, if N bending is needed, where N is a positive integer greater than 2, the blanking length of the pipe to be bent may be determined according to the above method.
The embodiment of the present application further provides a bending apparatus 200, see fig. 9, including:
the first determining module 201 is configured to determine a reference position and an initial bending position of a pipe to be bent, where the reference position includes a position located at a half of the length of the pipe to be bent;
a first obtaining module 202, configured to obtain a first distance between a preset bending position of the pipe to be bent and the reference position, where the preset bending position is a first target end position obtained through calculation after the pipe to be bent is bent at the initial bending position, the first target end position is a position point on a first bending arc, the position point being far away from the reference position, and the first distance is a horizontal distance between the preset bending position and the reference position;
a second obtaining module 203, configured to obtain a second distance between an actual bending position of the pipe to be bent and the reference position, where the actual bending position is a second target end position of the pipe to be bent after being bent at the initial bending position, the second target end position is an end position of a second bending arc far away from the reference position, and the second distance is a horizontal distance between the actual bending position and the reference position;
a second determining module 204, configured to determine a deviation value according to the first distance and the second distance;
and a third determining module 205, configured to determine a target bending position of the pipe to be bent according to the initial bending position and the deviation value.
Optionally, the second obtaining module 203 includes:
under the condition that the preset bending positions are the same, obtaining N second distances after the pipes to be bent are bent, wherein N is a positive integer larger than 1;
the second determining module 204 includes:
acquiring a second difference value between each second distance and the first distance;
and determining the average value of the N second difference values as the deviation value.
Optionally, the third determining module 205 includes:
acquiring a third distance between the reference position and the initial bending position;
acquiring a third difference value between the third distance and the deviation value, and determining the third difference value as a fourth distance between the target bending position and the reference position;
and determining the target bending position according to the fourth distance and the reference position.
Optionally, after the second determining module 204, the apparatus further includes:
determining the arc length of the second bending arc according to the deviation value;
acquiring target bending data of a pipe to be bent, wherein the target bending data comprises the target bending number and the target length of the part, which is not bent, of the pipe to be bent;
and determining the blanking length of the pipe to be bent according to the arc length and the target bending data.
The bending device 200 provided in the embodiment of the present application can implement each process that can be implemented in the above-described bending method embodiment, and achieve the same beneficial effects, and for avoiding repetition, the description is not repeated here.
The embodiment of the application also provides the electronic equipment. As shown in fig. 10, the electronic device 300 includes: a processor 301, a memory 302 and a computer program stored on and executable on said memory 302, the various components in the electronic device 300 being coupled together by a bus system 303. It will be appreciated that the bus system 303 is used to enable communications among the components.
The processor 301 is configured to determine a reference position and an initial bending position of a pipe to be bent, where the reference position includes a position located at a half of the length of the pipe to be bent;
acquiring a first distance between a preset bending position of the pipe to be bent and the reference position, wherein the preset bending position is a first target end point position of the pipe to be bent after the pipe to be bent is bent at the initial bending position, the first target end point position is a position point on a first bending arc far away from the reference position, and the first distance is a horizontal distance between the preset bending position and the reference position;
acquiring a second distance between an actual bending position of the pipe to be bent and the reference position, wherein the actual bending position is a second target end point position of the pipe to be bent after being bent at the initial bending position, the second target end point position is an end point position of a second bending arc far away from the reference position, and the second distance is a horizontal distance between the actual bending position and the reference position;
determining a deviation value according to the first distance and the second distance;
and determining the target bending position of the pipe to be bent according to the initial bending position and the deviation value.
Further, the processor 301 is further configured to obtain second distances after bending N pipes to be bent under the condition that preset bending positions are the same, where N is a positive integer greater than 1;
acquiring a second difference value between each second distance and the first distance;
and determining the average value of the N second difference values as the deviation value.
Further, processor 301 is further configured to obtain a third distance between the reference position and the initial bending position;
acquiring a third difference value between the third distance and the deviation value, and determining the third difference value as a fourth distance between the target bending position and the reference position;
and determining the target bending position according to the fourth distance and the reference position.
Further, the processor 301 is further configured to determine an arc length of the second bending arc according to the deviation value;
acquiring target bending data of a pipe to be bent, wherein the target bending data comprises the target bending number and the target length of the part, which is not bent, of the pipe to be bent;
and determining the blanking length of the pipe to be bent according to the arc length and the target bending data.
The electronic device 300 provided in the embodiment of the present application can implement each process that can be implemented in the embodiment of the bending method of the present application, and achieve the same beneficial effects, and for avoiding repetition, the details are not repeated here.
The embodiment of the present application further provides a computer-readable storage medium, where a computer program is stored on the computer-readable storage medium, and when the computer program is executed by a processor, the computer program implements each process of the above bending method embodiment, and can achieve the same technical effect, and in order to avoid repetition, details are not repeated here. The computer-readable storage medium may be a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk or an optical disk.
While the present embodiments have been described with reference to the accompanying drawings, it is to be understood that the invention is not limited to the precise embodiments described above, which are meant to be illustrative and not restrictive, and that various changes may be made therein by those skilled in the art without departing from the spirit and scope of the invention as defined by the appended claims.
Claims (10)
1. A method of bending, comprising:
determining a reference position and an initial bending position of a pipe to be bent, wherein the reference position comprises a position located at a half position of the length of the pipe to be bent;
acquiring a first distance between a preset bending position of the pipe to be bent and the reference position, wherein the preset bending position is a first target end point position of the pipe to be bent after the pipe to be bent is bent at the initial bending position, the first target end point position is a position point on a first bending arc far away from the reference position, and the first distance is a horizontal distance between the preset bending position and the reference position;
acquiring a second distance between an actual bending position of the pipe to be bent and the reference position, wherein the actual bending position is a second target end point position of the pipe to be bent after being bent at the initial bending position, the second target end point position is an end point position of a second bending arc far away from the reference position, and the second distance is a horizontal distance between the actual bending position and the reference position;
determining a deviation value according to the first distance and the second distance;
and determining the target bending position of the pipe to be bent according to the initial bending position and the deviation value.
2. The bending method of claim 1, wherein said obtaining a second distance of the actual bending location from the reference location comprises:
under the condition that the preset bending positions are the same, obtaining N second distances after the pipes to be bent are bent, wherein N is a positive integer larger than 1;
determining a deviation value based on the first distance and the second distance, comprising:
acquiring a second difference value between each second distance and the first distance;
and determining the average value of the N second difference values as the deviation value.
3. The bending method according to claim 1, wherein the determining a target bending position of the pipe to be bent according to the initial bending position and the deviation value comprises:
acquiring a third distance between the reference position and the initial bending position;
acquiring a third difference value between the third distance and the deviation value, and determining the third difference value as a fourth distance between the target bending position and the reference position;
and determining the target bending position according to the fourth distance and the reference position.
4. The method of bending according to claim 1, wherein after the step of determining a deviation value based on the first distance and the second distance, the method further comprises:
determining the arc length of the second bending arc according to the deviation value;
acquiring target bending data of a pipe to be bent, wherein the target bending data comprises the target bending number and the target length of the part, which is not bent, of the pipe to be bent;
and determining the blanking length of the pipe to be bent according to the arc length and the target bending data.
5. A bending device, comprising:
the device comprises a first determining module, a second determining module and a control module, wherein the first determining module is used for determining a reference position and an initial bending position of a pipe to be bent, and the reference position comprises a position located at a half position of the length of the pipe to be bent;
the first obtaining module is used for obtaining a first distance between a preset bending position of the pipe to be bent and the reference position, wherein the preset bending position is a first target end point position of the pipe to be bent after the pipe to be bent is bent at the initial bending position, the first target end point position is a position point on a first bending arc, the position point is far away from the reference position, and the first distance is a horizontal distance between the preset bending position and the reference position;
a second obtaining module, configured to obtain a second distance between an actual bending position of the pipe to be bent and the reference position, where the actual bending position is a second target end position of the pipe to be bent after being bent at the initial bending position, the second target end position is an end position of a second bending arc away from the reference position, and the second distance is a horizontal distance between the actual bending position and the reference position;
the second determining module is used for determining a deviation value according to the first distance and the second distance;
and the third determining module is used for determining the target bending position of the pipe to be bent according to the initial bending position and the deviation value.
6. The bending device according to claim 5, wherein the second acquisition module comprises:
under the condition that the preset bending positions are the same, obtaining N second distances after the pipes to be bent are bent, wherein N is a positive integer larger than 1;
the second determining module includes:
acquiring a second difference value between each second distance and the first distance;
and determining the average value of the N second difference values as the deviation value.
7. The bending device according to claim 5, wherein the third determination module comprises:
acquiring a third distance between the reference position and the initial bending position;
acquiring a third difference value between the third distance and the deviation value, and determining the third difference value as a fourth distance between the target bending position and the reference position;
and determining the target bending position according to the fourth distance and the reference position.
8. The bending device according to claim 5, wherein after the second determination module, the device further comprises:
determining the arc length of the second bending arc according to the deviation value;
acquiring target bending data of a pipe to be bent, wherein the target bending data comprises the target bending number and the target length of the part, which is not bent, of the pipe to be bent;
and determining the blanking length of the pipe to be bent according to the arc length and the target bending data.
9. An electronic device comprising a processor, a memory and a computer program stored on the memory and executable on the processor, the computer program, when executed by the processor, implementing the steps in the bending method according to any one of claims 1 to 4.
10. A readable storage medium, characterized in that the readable storage medium has stored thereon a program which, when being executed by a processor, carries out the steps in the bending method according to any one of claims 1 to 4.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202110618822.6A CN113254853B (en) | 2021-06-03 | 2021-06-03 | Bending method, bending device, electronic setting and readable storage medium |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202110618822.6A CN113254853B (en) | 2021-06-03 | 2021-06-03 | Bending method, bending device, electronic setting and readable storage medium |
Publications (2)
| Publication Number | Publication Date |
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| CN113254853A true CN113254853A (en) | 2021-08-13 |
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