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    基于毫米波雷达监测高层建筑物形变的装置及方法

    126118577513B2
    发明人
    HU WEN, CHEN YUTAO, ZHOU SHUANG
    受让人
    NANJING YUDADIAN INFORMATION TECH CO LTD, ZHEJIANG LIUJI INFORMATION TECH CO LTD
    申请人
    上海卓钢链科技有限公司
    申请号
    18062424
    申请日
    1999-02-18
    公开(公告)号
    126118577513B2
    公开(公告)日
    2021-05-27
    IPC分类号
    A61K039/395A61P001/04A61P011/06A61P017/06A61P019/02A61P019/08A61P019/10A61P025/00A61P029/00A61P035/00A61P037/02C07K016/24C07K019/00G01N033/53C07K000/00G01N000/00A61K000/00A61P000/00
    CPC分类号
    -
    优先权号
    890222
    优先权日
    1998-07-30
    摘要

    NOVELTY - The pump has a powder suction element (7) formed with materials. A pneumatic boxer-type piston (3) presses force on a powder discharge element (8), where the materials are transferred through a storage reservoir (1). The pneumatic boxer-type piston adjusts amount of transfer and transfer time of the materials in adjusted manner. Pump modules are connected with each other in parallel manner. An air pressurized part (5) enables transfer of the materials through the storage reservoir. A main control unit (12) controls amount and quantity of materials during operation of the pump.

    USE - Pump for transfer of paint, enamel and coating content in a metal furniture, a window paver, a radiator, a pipe and a computer.

    ADVANTAGE - The air pressurized part enables transfer of the materials through the storage reservoir to control amount and quantity of the materials during operation of the pump by the main control unit, thus avoiding failure of assembling of a valve to reduce operating cost of the pump.

    DESCRIPTION OF DRAWING(S) - The drawing shows a schematic view of a pump.

    Storage reservoir (1)

    Pneumatic boxer-type piston (3)

    Air pressurized part (5)

    Powder suction element (7)

    Powder discharge element (8)

    Main control unit (12)

    权利要求
    1 . A container application scheduling method, comprising: acquiring image file information of a container application to be scheduled and image file cache information of a plurality of compute nodes; wherein the image file cache information comprises local storage residual resources and cached container image layer file information of the plurality of compute nodes; determining a local storage resource requirement of the container application for each of the plurality of compute nodes according to the image file information and the cached container image layer file information of each compute node of the plurality of compute nodes; and determining, according to the local storage resource requirement and the local storage residual resources of each compute node of the plurality of compute nodes, a target compute node configured for performing container application scheduling.
    2 . The method according to claim 1 , wherein the determining a local storage resource requirement of the container application for each of the plurality of compute nodes according to the image file information and the cached container image layer file information of each compute node of the plurality of compute nodes comprises: determining container image layer file information to be cached of each compute node of the plurality of compute nodes according to the image file information and the cached container image layer file information of each compute node of the plurality of compute nodes; and determining the local storage resource requirement of the container application for each of the plurality of compute nodes according to the container image layer file information to be cached.
    3 . The method according to claim 1 , wherein the determining, according to the local storage resource requirement and the local storage residual resources of each compute node of the plurality of compute nodes, a target compute node configured for performing container application scheduling comprises: determining compute nodes where the local storage residual resources are enough to meet corresponding local storage resource requirements as candidate compute nodes, when the local storage residual resources of the compute node are enough to meet the corresponding local storage resource requirements; determining a priority of each candidate compute node of the candidate compute nodes according to a size of the corresponding local storage resource requirement of each candidate compute node of the candidate compute nodes; and determining a candidate compute node with a highest priority as the target compute node.
    4 . The method according to claim 3 , wherein the local storage resource requirement characterizes a total size of a container image layer file to be cached in a compute node of the plurality of compute nodes, and the determining a priority of each candidate compute node of the candidate compute nodes according to a size of the corresponding local storage resource requirement of each candidate compute node of the candidate compute nodes comprises: determining, for each container image layer file to be cached in each candidate compute node of the candidate compute nodes, a ratio of a number of compute nodes where the container image layer file to be cached has been cache-hit to a total number of the plurality of compute nodes as a weighting coefficient of the container image layer file to be cached; and determining the priority of each candidate compute node of the candidate compute nodes according to a size of each container image layer file to be cached in each candidate compute node of the candidate compute nodes and the respective weighting coefficient of each container image layer file to be cached.
    5 . The method according to claim 1 , further comprising: acquiring a resource request of the container application to be scheduled and internal memory resource information of each compute node of the plurality of compute nodes; and determining, according to the resource request of the container application to be scheduled and the internal memory resource information of each compute node, a compute node to be filtered.
    6 . The method according to claim 1 , further comprising: acquiring locating information of the target compute node; and sending the locating information to a container application management center to enable the container application management center to issue, based on the locating information, a container application scheduling task to the target compute node.
    7 . The method according to claim 1 , by further comprising: determining, based on a pre-set compute node forced anti-affinity policy, corresponding target compute node for each Pod when a container scheduling mode of the container application to be scheduled is multi-copy Pod scheduling.
    8 . The method according to claim 7 , further comprising: determining that one target compute node executes a subsequent container application scheduling flow when the container scheduling mode of the container application to be scheduled is single-copy Pod scheduling.
    9 . (canceled)
    10 . An electronic device, comprising a storage device and one or more processors, the storage device storing therein computer-readable instructions that, when executed by the one or more processors, cause the one or more processors to perform operations comprising: acquiring image file information of a container application to be scheduled and image file cache information of a plurality of compute nodes; wherein the image file cache information comprises local storage residual resources and cached container image layer file information of the plurality of compute nodes; determining a local storage resource requirement of the container application for each of the plurality of compute nodes according to the image file information and the cached container image laver file information of each compute node of the plurality of compute nodes; and determining, according to the local storage resource requirement and the local storage residual resources of each compute node of the plurality of compute nodes, a target compute node configured for performing container application scheduling.
    11 . One or more non-transitory computer-readable storage media storing computer-readable instructions, wherein the computer-readable instructions, when executed by one or more processors, cause the one or more processors to perform operations comprising: acquiring image file information of a container application to be scheduled and image file cache information of a plurality of compute nodes; wherein the image file cache information comprises local storage residual resources and cached container image layer file information of the plurality of compute nodes; determining a local storage resource requirement of the container application for each of the plurality of compute nodes according to the image file information and the cached container image layer file information of each compute node of the plurality of compute nodes; and determining, according to the local storage resource requirement and the local storage residual resources of each compute node of the plurality of compute nodes, a target compute node configured for performing container application scheduling.
    12 . The method according to claim 1 , wherein the image file information comprises at least an identification (ID) identifier of an image file of the container application to be scheduled and an ID identifier and a size of each container image layer file.
    13 . The method according to claim 12 , further comprising: obtaining the ID identifier of the image file and the ID identifier of each container image layer file by performing digest computation through a preset hash algorithm.
    14 . The method according to claim 2 , wherein the container image layer file information to be cached comprises an identification (ID) identifier of a container image layer file to be cached, and the determining a local storage resource requirement of the container application for each of the plurality of compute nodes according to the image file information and the cached container image layer file information of each compute node of the plurality of compute nodes comprises: computing a total size of container image layer files to be cached for each compute node of the plurality of compute nodes according to the image file information and the ID identifier and a size of the container image layer file to be cached; and determining the local storage resource requirement according to the total size of the container image layer files to be cached for each compute node of the plurality of compute nodes.
    15 . The method according to claim 4 , further comprising: in response to an increase in the weighting coefficient, increasing a score of the priority.
    16 . The electronic device according to claim 10 , wherein the computer-readable instructions, when executed by the one or more processors, cause the one or more processors to perform operations further comprising: determining container image layer file information to be cached of each compute node of the plurality of compute nodes according to the image file information and the cached container image layer file information of each compute node of the plurality of compute nodes; and determining the local storage resource requirement of the container application for each of the plurality of compute nodes according to the container image layer file information to be cached.
    17 . The electronic device according to claim 10 , wherein the computer-readable instructions, when executed by the one or more processors, cause the one or more processors to perform operations further comprising: determining compute nodes where the local storage residual resources are enough to meet corresponding local storage resource requirements as candidate compute nodes, when the local storage residual resources of the compute node are enough to meet the corresponding local storage resource requirements; determining a priority of each candidate compute node of the candidate compute nodes according to a size of the corresponding local storage resource requirement of each candidate compute node of the candidate compute nodes; and determining a candidate compute node with a highest priority as the target compute node.
    18 . The electronic device according to claim 17 , wherein the local storage resource requirement characterizes a total size of a container image layer file to be cached in a compute node of the plurality of compute nodes, and the computer-readable instructions, when executed by the one or more processors, cause the one or more processors to perform operations further comprising: determining, for each container image layer file to be cached in each candidate compute node of the candidate compute nodes, a ratio of a number of compute nodes where the container image layer file to be cached has been cache-hit to a total number of the plurality of compute nodes as a weighting coefficient of the container image layer file to be cached; and determining the priority of each candidate compute node of the candidate compute nodes according to a size of each container image layer file to be cached in each candidate compute node of the candidate compute nodes and a respective weighting coefficient of each container image layer file to be cached.
    19 . The one or more non-transitory computer-readable storage media according to claim 11 , wherein the computer-readable instructions, when executed by the one or more processors, cause the one or more processors to perform operations further comprising: determining container image layer file information to be cached of each compute node of the plurality of compute nodes according to the image file information and the cached container image layer file information of each compute node of the plurality of compute nodes; and determining the local storage resource requirement of the container application for each of the plurality of compute nodes according to the container image layer file information to be cached.
    20 . The one or more non-transitory computer-readable storage media according to claim 11 , wherein the computer-readable instructions, when executed by the one or more processors, cause the one or more processors to perform operations further comprising: determining compute nodes where the local storage residual resources are enough to meet corresponding local storage resource requirements as candidate compute nodes, when the local storage residual resources of the compute node are enough to meet the corresponding local storage resource requirements; determining a priority of each candidate compute node of the candidate compute nodes according to a size of the corresponding local storage resource requirement of each candidate compute node of the candidate compute nodes; and determining a candidate compute node with a highest priority as the target compute node.
    21 . The one or more non-transitory computer-readable storage media according to claim 20 , wherein the local storage resource requirement characterizes a total size of a container image layer file to be cached in a compute node of the plurality of compute nodes, and wherein the computer-readable instructions, when executed by the one or more processors, cause the one or more processors to perform operations further comprising: determining, for each container image layer file to be cached in each candidate compute node of the candidate compute nodes, a ratio of a number of compute nodes where the container image layer file to be cached has been cache-hit to a total number of the plurality of compute nodes as a weighting coefficient of the container image layer file to be cached; and determining the priority of each candidate compute node of the candidate compute nodes according to a size of each container image layer file to be cached in each candidate compute node of the candidate compute nodes and a respective weighting coefficient of each container image layer file to be cached.
    说明书
    [0001]This application is a continuation of International Patent Application No. PCT/JP2007/054695, filed Mar. 9, 2007. This PCT application was not in English as published under PCT Article 21(2).
    [0002]FIELD OF THE INVENTION
    [0003]The present invention relates to a mechanical pipe-end expander, which is applied for a seamless steel pipe to be used in a pipeline for transporting fluid such as petroleum and natural gas, and a method for manufacturing a seamless steel pipe with an expanded pipe-end zone, which is characterized in applying this mechanical pipe-end expander.
    [0004]BACKGROUND OF THE INVENTION
    [0005]The pipeline is laid at a field by bonding steel pipes in series by means of a circumferential welding.
    [0006]Therefore, the steel pipes require a good welding operability, that is, high welding efficiency with less welding defects.
    [0007]An inner diameter at a welded pipe requires a high dimensional accuracy, particularly at a pipe-end zone, which is at least 100 mm zone towards a longitudinally deep direction from a pipe-end, preferably at 300 mm zone towards a longitudinally deep direction from a pipe-end. Because, if a welding defect is detected after circumferential welding, a tip of the pipe-end zone is cut off, and then a new tip of the pipe-end for the line pipes is circumferentially welded again.
    [0008]It may be difficult for a hot-worked seamless steel pipe to ensure an inner diameter dimensional accuracy with a narrow tolerance, which affects more on the welding workability compared with a cold-worked welded steel pipe. For ensuring an inner diameter dimensional accuracy particularly at the pipe-end zone, a correction using a grinder or cutter and a correction by cold working has been generally adopted.
    [0009]It is disclosed in Patent Document 1 that the inner diameter of the pipe-end zone is corrected by inserting a plug having a cylindrical body. It is also disclosed in Patent Document 2 that the material of a pipe expansion die is substituted with a synthetic resin so that pipe expansion is performed with elasticity of a die segment.
    [0010][Patent Document 1] Japanese Patent No. 2820043
    [0011][Patent Document 2] Japanese Patent No. 2900819
    [0012]However, the correction using the grinder or cutter may cause reduction in strength at a weld bonding between both of steel pipes since the thickness of the pipe-end zone is reduced. In addition, the correction using the grinder does not result in a uniform correction towards a longitudinally deep direction from a pipe-end.
    [0013]The techniques disclosed in Patent Documents 1 and 2 do not reduce the thickness of the pipe-end zone. But, they do not result in a uniform pipe expansion towards a longitudinally deep direction from a pipe-end, because a cylindrical body of a die or a plug has the same outer diameter as described below. In addition, the technique disclosed in Patent Document 1 requires many sizes of plugs for responding to various diameters of pipes, which results in an increased manufacturing cost.
    [0014]The prior technology for improving an inner diameter dimensional accuracy at a pipe-end zone of a hot-worked seamless steel pipe causes a reduction in strength and does not result in a uniform pipe expansion towards a longitudinally deep direction from a pipe-end.
    [0015]SUMMARY OF THE INVENTION
    [0016]An objective of the present invention is to improve an inner diameter dimensional accuracy at a pipe-end zone of a hot-worked seamless steel pipe.
    [0017]The present invention relates to a mechanical pipe-end expander comprising a cone, and a hollow die having a first end and a second end, the first end adapted to be inserted in a pipe end portion of a steel pipe for pipe expansion, wherein the hollow die is circumferentially dividable into a plurality of tapered wedge bodies and a taper angle of an inner surface of the hollow die is the same as a taper angle of an outer surface of the cone, wherein an inner radius of the hollow die is larger in a direction from the second end to the first end of hollow die, and an outer radius of a part of the hollow die adapted to be inserted into a pipe-end portion to be expanded is larger in a direction from the second end to the first end of the hollow die, and wherein the cone is adapted to be inserted into the pipe-end portion to be expanded, the tapered wedge bodies of the hollow die adapted to surround the cone once inserted into the pipe end portion; and the cone is adapted to be axially drawn out of the pipe-end portion leaving the hollow die within the pipe-end portion and causing enlargement of a radius of the hollow die.
    [0018]The present invention also relates to a method for manufacturing a seamless steel pipe with an expanded pipe-end portion, using a mechanical expander comprising a cone and a hollow die having first and second ends, the first end adapted to be inserted in a pipe end portion of a steel pipe for pipe expansion, wherein the hollow die is circumferentially dividable into a plurality of tapered wedge bodies and a taper angle of an inner surface of the hollow die is the same as a taper angle of an outer surface of the cone, and wherein the inner radius of the hollow die is larger in a direction from the second end to the first end of hollow die and an outer radius of a part of the hollow die to be inserted into the pipe-end portion to be expanded is larger in a direction from the second end to the first end of the hollow die, the method comprising the steps of:
    [0019](1) inserting the cone into the pipe end portion of the steel pipe to be expanded,
    [0020](2) inserting the first end of the hollow die with each of the tapered wedge bodies into the pipe end portion of the steel pipe such that the tapered wedge bodies surround the cone, and
    [0021](3) drawing the cone axially out of the steel pipe while leaving the hollow die within the steel pipe to push out the hollow die radially and expand the pipe end portion of the steel pipe.
    [0022]In the present invention, a preferable taper value of the outer radius of the wedge body is determined based on experimental results by the present inventors described below.
    [0023]BRIEF DESCRIPTION OF THE DRAWINGS FIG. 1 schematically illustrates a conventional mechanical expander, wherein (a) is a vertically cross-sectional view of an essential part thereof, and (b) is a cross-sectional view taken along line A-A of FIG. 1( a ); FIG. 2 illustrates the conventional mechanical expander, wherein (a) is a view illustrating a clearance caused between a die and a cone, (b) is a view illustrating inclination of the die caused by radial abrasion of the wedge body at a flangeless end; and FIG. 3 is an illustrative view of a mechanical pipe-end expander according to the present invention.
    [0024]BEST MODE FOR CARRYING OUT THE INVENTION
    [0025]The present invention presents a seamless steel pipe with a satisfactory dimensional accuracy at a pipe-end zone, which exhibits an excellent field welding workability in bonding steel pipes by circumferential welding at a field.
    [0026]Some findings for the inventors to solve the problem above-mentioned and a best mode for carrying out the present invention will be described in detail using the accompanying drawings.
    [0027]The pipe expansion technique by plug insertion as disclosed in Patent Document 1 requires many sizes of plugs for correcting various diameters of steel pipes, which results in an increased manufacturing cost.
    [0028]The present inventors conceived that a mechanical expander capable of expanding various diameters for a UOE steel pipe could be applied to expand only a pipe-end zone for a seamless steel pipe, although the mechanical expander for a UOE steel pipe is applied over the whole length of the UOE steel pipe.
    [0029]This mechanical expander for a UOE steel pipe comprises, as shown in FIG. 1 , a die 1 that is inserted into a steel pipe P to be expanded and a cone 2 that can radially push the die 1 out.
    [0030]The die 1 is circumferentially divided into a plurality of wedge pieces having a tapered wedge body 1 a whose outer radius is constant and whose inner radius is larger towards a flangeless end direction from a flange end, wherein an outer surface of the tapered wedge body contacts an inner surface of the steel pipe P and an inner surface of the tapered wedge body contacts an outer surface of the cone 2 .
    [0031]On the other hand, an outer surface of the cone 2 has the same taper angle as the inner surface of the die 1 whose inner radius is larger towards a flangeless end direction from a flange end.
    [0032]Expansion of the steel pipe P using this mechanical expander can be performed as follows.
    [0033]The cone 2 is firstly inserted into an end zone of the steel pipe P, and then each of the wedge bodies 1 a of the die 1 is inserted into the end zone of the steel pipe P.
    [0034]Then, the cone 2 is axially drawn out of the pipe leaving the die 1 within the steel pipe P. The die 1 is radially pushed out by a wedge effect caused by both the tapers of the cone 2 and the die 1 while the cone 2 is axially drawn out.
    [0035]Therefore, since an expansion extent of the steel pipe P caused by the die 1 can be controlled by a drawing extent of the cone 2 , the steel pipe P can be expanded to various inner diameters using this mechanical expander for a UOE steel pipe.
    [0036]The present inventors tried to apply this mechanical expander to only a pipe-end zone of a seamless steel pipe. As a result, an inner diameter of the tip of the pipe-end zone could be controlled within a tolerance of a predetermined range, however, an inner diameter of the pipe-end zone was smaller towards a longitudinally deep direction from a pipe-end.
    [0037]The present inventors noticed that, in order to ensure a longitudinally uniform inner diameter in a pipe-end zone, the pipe expansion must be finished to work in a state where the axis of the pipe-end zone is in parallel to a working surface during a pipe expansion. In other words, an outer surface of the wedge body of the die that contacts the inner surface of the pipe-end zone must be in parallel to the axis of the pipe-end zone when the pipe expansion finishes.
    [0038]However, because of a constraint by a non-expanded part of the steel pipe P, the pipe expansion only to the pipe-end zone causes a surface pressure on the die 1 higher towards a flangeless end direction from a flange end. Therefore, a pipe expansion only to a pipe-end zone causes a larger abrasion loss towards a flangeless end direction from a flange end at the inner surface of the wedge body 1 a that contacts a cone, and the clearance between the wedge body 1 a and the cone 2 consequently becomes larger towards a flangeless end direction from a flange end (refer to FIG. 2( a )).
    [0039]Namely, since a clearance d 1 between the cone 2 and the wedge body 1 a at a flangeless end is larger than a clearance d 2 between the cone 2 and the wedge body 1 a at a flange end, and the surface pressure on the die 1 is higher towards a flangeless end direction from a flange end, the die 1 is inclined to the pipe axis as shown in FIG. 2( b ) when a pipe expansion finishes. Consequently, the inner diameter of the pipe-end zone of the steel pipe P becomes smaller towards a longitudinally deep direction from a pipe-end.
    [0040]In the case of a UOE steel pipe, this problem is never caused since a mechanical expander is applied over the whole length of the pipe including pipe-end zones.
    [0041]The present inventors made various studies and experiments based on the above-mentioned knowledge, and improved a form of wedge pieces constituting a die such that the work can be completed in a state where the working surface is in parallel to the pipe axis even if abrasion of the die is progressed.
    [0042]An example of the experimental results made by the present inventors is shown as follows.
    [0043]A steel pipe having an outer diameter of 323.9 mm and a thickness of 25.4 mm was used for the experiment.
    [0044]Three kinds of mechanical pipe-end expanders were applied to expand a pipe-end zone of this steel pipe. The first expander comprises a die that is circumferentially divided to a plurality of wedge pieces having a single-tapered wedge body whose outer radius is constant, that is, 0.0 mm difference within the outer radius of the wedge body. The second expander comprises a die that is circumferentially divided to a plurality of wedge pieces having a double-tapered wedge body whose outer radius is larger by 0.5 mm along an outer axial length of 100 mm towards a flangeless end direction from a flange end, that is, a 0.5 mm difference exists within the outer radius of the wedge body. The third expander comprises a die that is circumferentially divided to a plurality of wedge pieces having a double-tapered wedge body whose outer radius is larger by 1.0 mm along an outer axial length of 100 mm towards a flangeless end direction from a flange end, that is, a 1.0 mm difference exists within the outer radius of the wedge body.
    [0045]A radial abrasion of 0.5 mm was caused on the flangeless end of the inner surface of each of the die.
    [0046]After correcting the pipe-end zone using each die, an outer diameter and a thickness of each expanded zone were measured and an inner diameter was calculated at the pipe-end and at 100 mm apart from pipe-end in order to evaluate the difference within the inner radius of the pipe-end zone that has a length of 100 mm. The result is shown in Table 1.
    [0047]TABLE 1 At 100 mm apart At pipe-end from pipe-end Difference Outer Inner Outer Inner Difference within within the outer diameter Thickness diameter diameter Thickness diameter the inner radius of radius of wedge (mm) (mm) (mm) (mm) (mm) (mm) pipe-end zone (mm) body (mm) ODa WTa IDa ODb WTb IDb (IDa − IDb)/2 0 326.24 25.48 275.28 325.22 25.39 274.44 0.42 0.5 326.26 25.33 275.60 326.31 25.31 275.69 −0.05 1.0 326.22 25.12 275.98 327.26 25.20 276.86 −0.44
    [0048]As is shown in Table 1, each value obtained by subtracting the difference within the outer radius of a wedge body (0.0 mm, 0.5 mm, 1.0 mm: each) from the radial abrasion loss (0.5 mm: all) of each die equals almost to each value of the difference within the inner radius of pipe-end zone that has a length of 100 mm (+0.42 mm, −0.05 mm, −0.44 mm: each).
    [0049]Not more than a 2 mm difference within the inner diameter of pipe-end zone, namely, not more than a 1 mm difference within the inner radius of pipe-end zone, would not cause a serious problem during welding. Therefore, a 1 mm difference within the inner radius of pipe-end zone (outer tapering of 2/100 when the outer length of the wedge body is 100 mm) can lead to not more than a 1.0 mm difference within the inner radius of pipe-end zone that has a length of 100 mm if the radial abrasion loss is not more than 2 mm.
    [0050]In other words, an expander comprising a die having a double-tapered wedge body whose outer radius is larger by 1.0 mm along an outer axial length of 100 mm towards a flangeless end direction from a flange end (outer tapering of 2/100) can be applied to correct a pipe-end zone of 100 mm (refer to FIG. 3 ). And, an expander comprising a die having a double-tapered wedge body whose outer radius is larger by 1.0 mm along an outer axial length of 300 mm towards a flangeless end direction from a flange end (outer tapering of 2/300) can be applied to correct a pipe-end zone of 300 mm (refer to FIG. 3 ).
    [0051]Such a mechanical pipe-end expander comprising a die 1 can lead to a pipe-end zone whose inner radius of pipe-end is 1 mm larger towards a longitudinally deep direction from a pipe-end at the start of applying the die. Consequently, even if radial abrasion of the die is progressed, the variation within the inner radius of the pipe-end zone can be more reduced, compared with that in a conventional tool. Therefore, a pipe expansion can be executed as long as it is within a tolerance, and the tool life can be largely extended.
    [0052]As mentioned above, not more than a 2 mm difference within the inner diameter of pipe-end zone, namely, not more than a 1 mm difference within the inner radius of pipe-end zone, would not cause a serious problem during welding. Therefore, a 0.5 to 1.5 mm difference within the outer radius of the wedge body (outer tapering of 1/100 to 3/100 when the outer length of the wedge body is 100 mm) can lead to not more than a 1.5 mm difference within the inner radius of pipe-end zone that has a length of 100 mm if the radial abrasion loss is not more than 2 mm.
    [0053]The present invention is never limited by the above-mentioned embodiment, and modifications thereof obviously can be made within the scope of the technical ideas described in each claim.
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