CN107560559B - A kind of prism-shaped pipeline axial direction bending distortion measurement calculation method - Google Patents

A kind of prism-shaped pipeline axial direction bending distortion measurement calculation method Download PDF

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CN107560559B
CN107560559B CN201710609129.6A CN201710609129A CN107560559B CN 107560559 B CN107560559 B CN 107560559B CN 201710609129 A CN201710609129 A CN 201710609129A CN 107560559 B CN107560559 B CN 107560559B
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pipeline
calculating
bending
pipeline axial
calculation
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CN107560559A (en
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陈珂
蒋伟
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Sichuan University
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Sichuan University
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Abstract

The invention discloses a kind of prism-shaped pipeline axial direction bending distortion measurement calculation methods.The survey calculation method includes the survey calculation of three curvature calculating parameters and two twist calculating parameters, specific survey calculation method comprises the following steps: detection obtains the coordinates measurements of pipeline each measuring point along the outer profile in each section of axis, and calculates each section center-of-mass coordinate;Utilize each section centroid calculation pipeline axial bending the first calculating parameter of degree;The second calculating parameter of pipeline axial bending degree and third calculating parameter are calculated in datum plane subpoint using each section mass center;It is projected on datum plane using the equation and apex coordinate on each section side of calculating, the first calculating parameter of pipeline axial torsion degree and the second calculating parameter are established in calculating.The present invention establishes multiple prismatic channel axial bending degree calculating parameters by detecting each section mass center of pipeline, and the twist calculating parameter of multiple prismatic channel axial directions is established with the projection of section the Fitting Calculation side and vertex on datum plane;Each section whole test point information is taken full advantage of, while multiple calculating parameters can reflect pipeline bending deformed state more comprehensively, improves the accuracy that prismatic channel axial direction bending distortion measurement determines.

Description

A kind of prism-shaped pipeline axial direction bending distortion measurement calculation method
Technical field
The invention belongs to detection technique field, in particular to a kind of prism-shaped pipeline axial direction bending distortion measurement calculating side Method.
Background technique
Prism-shaped pipeline and correlative tubular class part are widely used in the industrial production, in complicated work condition environment, by Making pipeline under the action of the factors such as high temperature, high pressure and mechanical presses, deformation occurs, causes its ability of losing the job.Cause This, needs accurately to detect pipeline and tubulose class part and make calculating and determines.It is detected by sensor and obtains pipeline The coordinate value of each test point on outer profile handles each test point coordinate value by certain survey calculation method, obtains Reflect every calculating parameter of pipeline axial direction bending deformation.
In existing survey calculation method, pipeline axial direction bending distortion measurement calculating parameter is not perfect, not can accurately reflect The practical deformation situation of pipeline.For the survey calculation of axial bending degree, is established and calculated using the relationship of the adjacent test point in each section Parameter does not consider section overall condition, and calculating parameter is insufficient, not accurate enough to the survey calculation of axial bending degree;For axis The survey calculation of twist there are no more targetedly survey calculation method.Therefore, in order to be made accurately to pipeline bending deformation Assessment, need to establish perfect measurement survey calculation method.
Summary of the invention
In view of above-mentioned deficiencies of the prior art, the invention proposes a kind of measurements of prism-shaped pipeline axial direction bending distortion measurement Calculation method improves the accuracy of pipeline deformation assessment for improving pipeline bending distortion measurement survey calculation method.
The present invention to achieve the goals above, proposes a kind of prism-shaped pipeline axial direction bending distortion measurement calculation method, institute Stating survey calculation method includes three curvature calculating parameters and two twist calculating parameters, and the survey calculation method is specific It comprises the following steps:
(1) detection obtains the coordinates measurements of pipeline each measuring point along the outer profile in each section of axisWherein j For each section serial number, i is measuring point serial number on section;
(2) pass through the coordinates measurements of each measuring point on the outer profile in each sectionCalculate each section mass center Coordinate
(3) it calculates in pipeline axial direction and contains each section mass centerSmallest circle cylinder diameter value, As pipeline axial bending the first calculating parameter of degree
(4) along pipeline theory axis direction, by each section mass centerIt projects on datum plane, The minimum envelop radius of circle value for calculating each mass center subpoint, as pipeline axial bending the second calculating parameter of degree rm
(5) the round heart O of minimum envelop of each mass center subpoint is calculated2(xe,ye), with the mass center in theoretical sectionWith the round heart O of the minimum envelop2(xe,ye) distance value, as pipeline axial bending degree third calculate Parameter h,
(6) pass through the coordinates measurements of each measuring point on the outer profile in each sectionThe Fitting Calculation obtains each section Detect side equation in faceWherein k is section side serial number;Each side in section is projected on datum plane again, The maximum value of the corresponding projection side angle in each section is the first calculating parameter of pipeline axial torsion degree on datum plane
Wherein, m and n be section serial number, m=1,2,3 ..., n=1,2,3 ...
(7) pass through the coordinates measurements of each measuring point on the outer profile in each sectionEach section inspection is calculated Survey apex coordinateWherein l is section vertex serial number;Vertex is detected into each sectionIt is flat to project to benchmark Face, each section corresponding vertex is on datum plane with theoretical mass center line institute at maximum central angle
Section corresponding vertex is on datum plane with theoretical mass center line institute at minimum central angle
The maximum central angleWith the minimum central angleDifference is as pipeline axial torsion degree second Calculating parameter ωl,
Detect apex coordinate in section described in above-mentioned steps (7)For the intersection point on section side, by section side side JourneyIt is calculated.
Said reference plane is the specified plane perpendicular to theoretical axis.
The beneficial effects of the present invention are: the present invention establishes multiple pipeline axial bending degree by detecting each section mass center of pipeline Calculating parameter takes full advantage of each section whole test point information, while multiple calculating parameters can reflect that more comprehensively pipeline is curved Bent deformed state;It is projected using section the Fitting Calculation side and vertex in datum plane, respectively obtains the corresponding projection side institute in each section At maximum angle value and each section correspond to projected vertex distribution central angle value range, for calculating the torsion of pipeline axial direction Degree, can accurately reflect pipeline torsional deflection, the perfect survey calculation method of pipeline axial direction bending shape changing detection.
Detailed description of the invention
Fig. 1 is prism-shaped pipeline axial direction detection sectional plane schematic diagram.
Fig. 2 is the first calculating parameter of curvature schematic diagram.
Fig. 3 is curvature second and third calculating parameter schematic diagram.
Fig. 4 is the first calculating parameter of twist schematic diagram.
Fig. 5 is the second calculating parameter of twist schematic diagram.
Specific embodiment
The present invention will be further described with reference to the accompanying drawing.
As shown in Figure 1, being each detection sectional plane F of hexagonal cross-section prism-shaped pipelineiSchematic diagram is obtained each by detection A section measuring point coordinateWherein j is each section serial number, and i is measuring point serial number on section.
As shown in Fig. 2, being each section mass centerMinimum envelop cylindrical surface, make the least square of each mass center Middle line contains each center of mass point with the cylindrical surface of the parallel least squares of axis, seeks the minimum diameter that contains as pipeline axial direction The first calculating parameter of curvatureApproximate calculation can be carried out such as with the maximum value d_max of each center of mass point to least squares Under:
Wherein each section mass centerIt can be calculated with the methods of cumulative summation or triangle split plot design.
As shown in figure 3, each section mass center is projected on datum plane, pipeline axis along pipeline theory axis direction It is the minimum envelop radius of circle value r of each mass center subpoint to the second calculating parameter of curvaturem, can be preferentially asymptotic using farthest point Method solves radius value rmWith envelope circle central coordinate of circle O2(xe,ye)。
Pipeline axial bending degree third calculating parameter is the mass center in theoretical sectionWith the most parcel The round heart O of network2(xe,ye) distance value h:
As shown in figure 4, passing through the coordinate value of each measuring point on the outer profile in each sectionPass through least square Fitting obtains each section detection side equationEach side in section is projected on datum plane, in datum plane The maximum value of the upper corresponding projection side angle in each section is the first calculating parameter of pipeline axial torsion degree
Wherein, m and n is section serial number, and m=1,2,3 ..., n=1,2,3 ..., k is section side serial number.
As shown in figure 5, passing through section side equationEach section detection apex coordinate is calculatedWherein l is section vertex serial number.By the detection sectional plane vertex Pl jProject to datum plane, each section pair Answer vertex on datum plane with theoretical mass center line institute at maximum central angle
Section corresponding vertex is on datum plane with theoretical mass center line institute at minimum central angle
The maximum central angleWith the minimum central angleDifference is as pipeline axial torsion degree second Calculating parameter ωl,
The above description is only a preferred embodiment of the present invention, is not intended to restrict the invention, it is clear that those skilled in the art Member can carry out various changes and deformation to the present invention without departing from the spirit and scope of the present invention.If these of the invention are repaired Change and deform and belong within the scope of claim and its equivalent technologies of the invention, then the present invention also comprising these changes and becomes Including shape.

Claims (3)

1. a kind of prism-shaped pipeline axial direction bending distortion measurement calculation method, the survey calculation method includes three curvature meters It calculates parameter and two twist calculating parameters, the survey calculation method specifically includes the following steps:
(1) detection obtains the coordinates measurements of pipeline each measuring point along the outer profile in each section of axisWherein j is each Section serial number, i are measuring point serial number on section;
(2) pass through the coordinates measurements of each measuring point on the outer profile in each sectionCalculate each section center-of-mass coordinate
(3) it calculates in pipeline axial direction and contains each section mass centerSmallest circle cylinder diameter value, as Pipeline axial bending the first calculating parameter of degree
(4) along pipeline theory axis direction, by each section mass centerIt projects on datum plane, calculates each The minimum envelop radius of circle value of mass center subpoint, as pipeline axial bending the second calculating parameter of degree rm
(5) the round heart O of minimum envelop of each mass center subpoint is calculated2(xe,ye), with the mass center in theoretical sectionWith the round heart O of the minimum envelop2(xe,ye) distance value, as pipeline axial bending degree third calculate Parameter h,
(6) pass through the coordinates measurements of each measuring point on the outer profile in each sectionThe Fitting Calculation obtains each section inspection Survey side equationWherein k is section side serial number;Each side in section is projected on datum plane again, in benchmark The maximum value of the corresponding projection side angle in each section is the first calculating parameter of pipeline axial torsion degree in plane
Wherein, m and n be section serial number, m=1,2,3 ..., n=1,2,3 ...;
(7) pass through the coordinates measurements of each measuring point on the outer profile in each sectionEach section detection top is calculated Point coordinateWherein l is section vertex serial number;Vertex is detected into each sectionDatum plane is projected to, Each section corresponding vertex is on datum plane with theoretical mass center line institute at maximum central angle
Section corresponding vertex is on datum plane with theoretical mass center line institute at minimum central angle
The maximum central angleWith the minimum central angleDifference is calculated as pipeline axial torsion degree second Parameter ωl,
2. a kind of prism-shaped pipeline axial direction bending distortion measurement calculation method according to claim 1, it is characterised in that: Detect apex coordinate in section described in step (7)For the intersection point on section side, by section side equationIt is calculated.
3. a kind of prism-shaped pipeline axial direction bending distortion measurement calculation method according to claim 1, it is characterised in that: The datum plane is the specified plane perpendicular to theoretical axis.
CN201710609129.6A 2017-07-24 2017-07-24 A kind of prism-shaped pipeline axial direction bending distortion measurement calculation method Active CN107560559B (en)

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