CN105509673A - Steel-structure net rack center positioning method based on six points on sphere - Google Patents
Steel-structure net rack center positioning method based on six points on sphere Download PDFInfo
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- CN105509673A CN105509673A CN201510947879.5A CN201510947879A CN105509673A CN 105509673 A CN105509673 A CN 105509673A CN 201510947879 A CN201510947879 A CN 201510947879A CN 105509673 A CN105509673 A CN 105509673A
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- ball node
- steel
- steel construction
- axis coordinate
- measurement points
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
Abstract
A steel-structure net rack center positioning method based on six points on a sphere relates to the technical field of steel structure construction, and is disclosed to solve the technical problem on how to implement steel structure ball node center positioning. The method comprises the following steps: first, six measurement points are randomly taken from the surface of a ball node of a steel structure, and the 3D coordinates of the six measurement points are measured by a measuring instrument; then, six error equations are set according to the measured 3D coordinates of the six measurement points; and finally, the center coordinate of the steel-structure ball node is calculated using the least square method. The method provided by the invention is applicable to ball node steel net rack construction.
Description
Technical field
The present invention relates to the technology of Construction of Steel Structure, particularly relate to a kind of technology of the steel structure net rack center positioning method based on 6, sphere.
Background technology
Ball node Elements of Space Grid Truss is the space structure linked by spherical node according to certain grid configuration by many steel rod elements.There is the advantages such as space-load is little, lightweight, rigidity is large, anti-seismic performance is good; Be widely used as the roof system of the buildings such as gymnasium, cinema, show room, Waiting Lounge, Stadium canopy, hangar, two-way Large Column Spacing workshop.Its shortcoming is that the rod member quantity intersected on spherical node is more, and fabrication and installation complex structure, particularly proposes very high requirement to the central three-dimensional coordinate setting of spherical node.
Ball node is the totally-enclosed hollow ball of steel normally, is placed on correct position, space when mounted according to design three-dimensional coordinate.But because ball node center belongs to hidden place, directly cannot measure, the mode of indirect inspection can only be adopted to position.
Ball node center positioning method conventional at present has two kinds.One makes ball-type pallet, and become by the centralized positioning question variation of ball node tray center to measure problem, it is visible for becoming invisible, but each measurement all will use pallet, and heavy and inconvenient, cost is high, and efficiency is low.Second method adopts the measurement of ball node bottom centre to determine planimetric position, and absolute altitude is completed by the hidden place measuring method of radius calculation, and this method can be cost-saving preferably, but because of bottom centre's measurement accuracy problem, ratio of precision first method is lower.The greatest drawback of above-mentioned two kinds of ball node center positioning methods in arbitrarily position, collection point, ball surface, to measure very inconvenient, and complicated operation.
Summary of the invention
For the defect existed in above-mentioned prior art, technical matters to be solved by this invention is to provide a kind of measurement conveniently, and simple to operate, and positioning precision is high, can at the steel structure net rack center positioning method based on 6, sphere of random position, collection point, ball surface.
In order to solve the problems of the technologies described above, a kind of steel structure net rack center positioning method based on 6, sphere provided by the present invention, it is characterized in that, concrete steps are as follows:
1) get 6 measurement points from the ball node surface times of steel construction, and utilize surveying instrument to measure the three-dimensional coordinate of these 6 measurement points;
2) three-dimensional coordinate of 6 measurement points measured by step 1, setting 6 error equations is:
Wherein,
be the modified value of i-th measurement point,
be the X-axis coordinate of i-th measurement point,
be the Y-axis coordinate of i-th measurement point,
be the Z axis coordinate of i-th measurement point,
for the radius of steel construction ball node, the value of i is 1≤i≤6;
Wherein,
for the X-axis coordinate approximate value of steel construction ball node preset,
for the Y-axis coordinate approximate value of steel construction ball node preset,
for the Z axis coordinate approximate value of steel construction ball node preset,
for the X-axis coordinate approximate value of steel construction ball node preset;
3) adopt least square method to calculate the centre coordinate of steel construction ball node, the equation of least square method is:
Wherein,
for
matrix,
it is the weight matrix of 6 measurement points.
Steel structure net rack center positioning method based on 6, sphere provided by the invention, adopt measure at 6 and coordinate least square method to calculate steel construction ball node center, effectively can reduce the error of calculation, have the advantages that positioning precision is high, and can in arbitrarily position, collection point, ball surface, have and measure conveniently, feature simple to operate.
Embodiment
Below in conjunction with specific embodiment, technical scheme of the present invention is described in further detail; but the present embodiment is not limited to the present invention; every employing analog structure of the present invention and similar change thereof, all should list protection scope of the present invention in, the pause mark in the present invention all represent and relation.
A kind of steel structure net rack center positioning method based on 6, sphere that the embodiment of the present invention provides, it is characterized in that, concrete steps are as follows:
1) get 6 measurement points from the ball node surface times of steel construction, and utilize surveying instrument to measure the three-dimensional coordinate of these 6 measurement points;
2) three-dimensional coordinate of 6 measurement points measured by step 1, setting 6 error equations is:
Wherein,
be the modified value of i-th measurement point,
be the X-axis coordinate of i-th measurement point,
be the Y-axis coordinate of i-th measurement point,
be the Z axis coordinate of i-th measurement point,
for the radius of steel construction ball node, the value of i is 1≤i≤6;
Wherein,
for the X-axis coordinate approximate value of steel construction ball node preset,
for the Y-axis coordinate approximate value of steel construction ball node preset,
for the Z axis coordinate approximate value of steel construction ball node preset,
for the X-axis coordinate approximate value of steel construction ball node preset;
3) adopt least square method to calculate the centre coordinate of steel construction ball node, the equation of least square method is:
Wherein,
for
matrix,
it is the weight matrix of 6 measurement points.
The positioning principle of the embodiment of the present invention is: a ball can not determined in 4, space at grade, sphere centre coordinate and radius can be calculated, but consider the impact due to the factors such as measurement environment or survey crew in actual measurement process, inevitably bring measuring error, thus need to increase measurement point position, strengthen the reliability of measurement result, effectively avoid the error result brought because of misoperation, in practice when adopt 5, sphere carry out least square resolve time, often have and resolve half wire diameter automatic convergence problem, and adopt 6, sphere to carry out ball node centre coordinate positioning calculation to avoid and resolve half wire diameter automatic convergence problem, and can in arbitrarily position, collection point, ball surface, effectively investigated the error measured in operation process by rich observation data simultaneously, measure flexibly, easy and simple to handle, precision is high, reliability is strong.
Claims (1)
1., based on a steel structure net rack center positioning method for 6, sphere, it is characterized in that, concrete steps are as follows:
1) get 6 measurement points from the ball node surface times of steel construction, and utilize surveying instrument to measure the three-dimensional coordinate of these 6 measurement points;
2) three-dimensional coordinate of 6 measurement points measured by step 1, setting 6 error equations is:
Wherein,
be the modified value of i-th measurement point,
be the X-axis coordinate of i-th measurement point,
be the Y-axis coordinate of i-th measurement point,
be the Z axis coordinate of i-th measurement point,
for the radius of steel construction ball node, the value of i is 1≤i≤6;
Wherein,
for the X-axis coordinate approximate value of steel construction ball node preset,
for the Y-axis coordinate approximate value of steel construction ball node preset,
for the Z axis coordinate approximate value of steel construction ball node preset,
for the X-axis coordinate approximate value of steel construction ball node preset;
3) adopt least square method to calculate the centre coordinate of steel construction ball node, the equation of least square method is:
Wherein,
for
matrix,
it is the weight matrix of 6 measurement points.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510947879.5A CN105509673A (en) | 2015-12-17 | 2015-12-17 | Steel-structure net rack center positioning method based on six points on sphere |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510947879.5A CN105509673A (en) | 2015-12-17 | 2015-12-17 | Steel-structure net rack center positioning method based on six points on sphere |
Publications (1)
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| CN105509673A true CN105509673A (en) | 2016-04-20 |
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| CN201510947879.5A Pending CN105509673A (en) | 2015-12-17 | 2015-12-17 | Steel-structure net rack center positioning method based on six points on sphere |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110207651A (en) * | 2019-05-31 | 2019-09-06 | 南宁奥博斯检测科技有限责任公司 | A kind of Elements of Space Grid Truss carrier setting bolt ball centre of sphere elevation location device and method |
| CN112330748A (en) * | 2020-09-30 | 2021-02-05 | 江苏智库智能科技有限公司 | Tray identification and positioning method based on binocular depth camera |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH06341826A (en) * | 1993-06-01 | 1994-12-13 | Mitsutoyo Corp | Screw-hole-center measuring method |
| CN101255767A (en) * | 2008-03-25 | 2008-09-03 | 浙江大学 | Method for measuring and locating virtual tetrahedron top of abnormity component |
| CN101324428A (en) * | 2008-07-25 | 2008-12-17 | 北京城建集团有限责任公司 | Method for measuring construction steel structure special-shaped component three-dimensional coordinates |
| CN101526344A (en) * | 2008-12-29 | 2009-09-09 | 青建集团股份公司 | Spatial measuring method of spherical net brace |
| CN104296734A (en) * | 2014-10-24 | 2015-01-21 | 上海通用金属结构工程有限公司 | Method for measuring position of curve profiled bar |
-
2015
- 2015-12-17 CN CN201510947879.5A patent/CN105509673A/en active Pending
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH06341826A (en) * | 1993-06-01 | 1994-12-13 | Mitsutoyo Corp | Screw-hole-center measuring method |
| CN101255767A (en) * | 2008-03-25 | 2008-09-03 | 浙江大学 | Method for measuring and locating virtual tetrahedron top of abnormity component |
| CN101324428A (en) * | 2008-07-25 | 2008-12-17 | 北京城建集团有限责任公司 | Method for measuring construction steel structure special-shaped component three-dimensional coordinates |
| CN101526344A (en) * | 2008-12-29 | 2009-09-09 | 青建集团股份公司 | Spatial measuring method of spherical net brace |
| CN104296734A (en) * | 2014-10-24 | 2015-01-21 | 上海通用金属结构工程有限公司 | Method for measuring position of curve profiled bar |
Non-Patent Citations (1)
| Title |
|---|
| 贺磊 等: "首都国际机场T3A屋顶金属网架球节点测量", 《工程勘察》 * |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110207651A (en) * | 2019-05-31 | 2019-09-06 | 南宁奥博斯检测科技有限责任公司 | A kind of Elements of Space Grid Truss carrier setting bolt ball centre of sphere elevation location device and method |
| CN112330748A (en) * | 2020-09-30 | 2021-02-05 | 江苏智库智能科技有限公司 | Tray identification and positioning method based on binocular depth camera |
| CN112330748B (en) * | 2020-09-30 | 2024-02-20 | 江苏智库智能科技有限公司 | Tray identification and positioning method based on binocular depth camera |
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Application publication date: 20160420 |