CN111578881A - Accurate processing method for monitoring data of vertical line of arch dam - Google Patents
Accurate processing method for monitoring data of vertical line of arch dam Download PDFInfo
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- CN111578881A CN111578881A CN202010497149.0A CN202010497149A CN111578881A CN 111578881 A CN111578881 A CN 111578881A CN 202010497149 A CN202010497149 A CN 202010497149A CN 111578881 A CN111578881 A CN 111578881A
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- arch dam
- vertical line
- displacement
- coordinate system
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- 238000003672 processing method Methods 0.000 title claims abstract description 10
- 238000006073 displacement reaction Methods 0.000 claims abstract description 45
- 230000001131 transforming Effects 0.000 claims abstract description 21
- 230000000875 corresponding Effects 0.000 claims abstract description 11
- 239000011159 matrix material Substances 0.000 claims abstract description 8
- 238000005259 measurement Methods 0.000 description 4
- 238000010276 construction Methods 0.000 description 2
- 230000000694 effects Effects 0.000 description 1
- 239000000463 material Substances 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 1
Classifications
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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 in so far as they are not adapted to particular types of measuring means of the preceding groups
- G01B21/02—Measuring arrangements or details thereof in so far as they are not adapted to particular types of measuring means of the preceding groups for measuring length, width, or thickness
- G01B21/04—Measuring arrangements or details thereof in so far as they are not adapted to particular types of measuring means of the preceding groups for measuring length, width, or thickness by measuring coordinates of 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 in so far as they are not adapted to particular types of measuring means of the preceding groups
- G01B21/32—Measuring arrangements or details thereof in so far as they are not adapted to particular types of measuring means of the preceding groups for measuring the deformation in a solid
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- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/16—Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
Abstract
The invention relates to an accurate processing method of monitoring data of an arch dam vertical line. The invention aims to provide an accurate processing method of monitoring data of an arch dam vertical line, which is suitable for a hyperbolic arch dam. The technical scheme of the invention is as follows: determining a global coordinate system of the arch dam; respectively establishing a local coordinate system taking the tangential direction and the radial direction of the corresponding measuring points as coordinate axes at the positions of the vertical line measuring points at different elevations of the arch dam; calculating according to the body type equation of the arch dam to obtain a coordinate transformation matrix of the local coordinates of each measuring point to the overall coordinate system; measuring and reading the tangential and radial displacement increment of the corresponding point position at each measuring point of the vertical line; according to the vector coordinate transformation rule, transforming the increment of the displacement component of each measuring point to a whole coordinate system by using a coordinate transformation matrix; and calculating the displacement component of each measuring point of the vertical line of the arch dam under the whole coordinate system by an algebraic summation method, and obtaining the accurate values of the radial displacement and the tangential displacement of each measuring point by the coordinate inverse transformation of the displacement vector. The invention is suitable for the field of dam safety monitoring.
Description
Technical Field
The invention relates to an accurate processing method of monitoring data of an arch dam vertical line. The method is suitable for the field of dam safety monitoring.
Background
With the rapid development of the water conservancy and hydropower construction industry in China, the number of arch dams built and put into operation is continuously increased. The arch dam is a space shell structure, the operation state of the arch dam is greatly influenced by self structural characteristics, geological conditions and operation environment, the service time of part of the arch dam which is put into operation in the early year is longer and longer along with the continuous increase of the dam height of the arch dam which is built in recent years, the long-term operation safety of the arch dam faces serious challenges, and particularly the safety problem of the high arch dam is prominent.
The operation state of the arch dam is difficult to observe by naked eyes, and although numerical calculation means has been developed sufficiently, the numerical calculation cannot really simulate the structural state of the arch dam due to the geological conditions of the dam foundation, the operation environment and the complexity of dam foundation materials of the dam body, so that the safety monitoring at the present stage is still the most important means for mastering the operation state of the dam.
The horizontal displacement is an important monitoring index of the arch dam, the vertical line method is an important method for monitoring the horizontal displacement of the arch dam, and the monitoring result of the vertical line has important significance for evaluating and judging the safety of the arch dam structure. In terms of horizontal displacement of the arch dam, radial components and tangential components, namely radial displacement and tangential displacement, are usually concerned in engineering, so that the monitoring result of the vertical line needs to be finally processed into the radial displacement and the tangential displacement of each measuring point of the arch dam.
In actual engineering, the vertical lines of the arch dam are often arranged in sections, measuring points are arranged in galleries with different elevations, radial deformation increment and tangential deformation increment of corresponding positions are obtained through direct measurement and reading, and finally, radial displacement and tangential displacement of each measuring point are obtained through direct algebraic summation of measured values of each section of the vertical line.
The processing method of the monitoring data of the vertical lines is accurate for a single-curved arch dam, but most of the built arch dams with larger scale are hyperbolic arch dams, because the radial direction and the tangential direction of arch rings with different elevations of the hyperbolic arch dam under the same horizontal coordinate are not consistent, if the radial displacement increment and the tangential displacement increment of vertical line measuring points with different elevations are directly processed by an algebraic summation method, a larger error occurs in the displacement measuring value of the arch dam.
Disclosure of Invention
The technical problem to be solved by the invention is as follows: aiming at the existing problems, the method for accurately processing the monitoring data of the vertical line of the arch dam suitable for the double-curved arch dam is provided.
The technical scheme adopted by the invention is as follows: an accurate processing method for monitoring data of an arch dam vertical line is characterized by comprising the following steps:
determining a global coordinate system of the arch dam;
respectively establishing a local coordinate system taking the tangential direction and the radial direction of the corresponding measuring points as coordinate axes at the positions of the vertical line measuring points at different elevations of the arch dam;
calculating according to the body type equation of the arch dam to obtain a coordinate transformation matrix of the local coordinates of each measuring point to the overall coordinate system;
measuring and reading the tangential and radial displacement increment of the corresponding point position at each measuring point of the vertical line;
according to the vector coordinate transformation rule, transforming the increment of the displacement component of each measuring point to a whole coordinate system by using a coordinate transformation matrix;
and calculating the displacement component of each measuring point of the vertical line of the arch dam under the whole coordinate system by an algebraic summation method, and obtaining the accurate values of the radial displacement and the tangential displacement of each measuring point by the coordinate inverse transformation of the displacement vector.
The whole coordinate system is arranged along the river direction and the cross river direction.
The invention has the beneficial effects that: the method avoids monitoring data processing errors caused by radial and tangential inconsistency of arch rings with different elevations of the double-curved arch dam in the traditional method, provides an accurate vertical line monitoring data processing method for the safety monitoring of the arch dam, and also provides better technical support for better mastering the real deformation condition of the arch dam in the future.
Drawings
Fig. 1 is a schematic view of an arch dam in an embodiment.
FIG. 2 is a schematic view of a local coordinate system of the PL1-1 measurement point in the example.
FIG. 3 is a schematic view of a local coordinate system of the PL1-2 measurement point in the example.
FIG. 4 is a schematic view of a local coordinate system of the IP1-1 measuring point in the embodiment.
Detailed Description
The embodiment is an accurate processing method of monitoring data of an arch dam vertical line, comprising the following steps of:
taking a coordinate system adopted in an arch dam construction layout as a whole coordinate system (x, y), wherein the general coordinate system is arranged along the river direction and the cross river direction;
respectively establishing local coordinate systems (x ', y '), (x ", y '), (x ', y ') with tangential and radial coordinate axes at corresponding measuring points as coordinate axes at positions (PL1-1 measuring point, PL1-2 measuring point and IP1-1 measuring point) of vertical measuring points with different elevations by taking an overall coordinate system (x, y) as reference;
calculating according to an arch dam body type equation to obtain coordinate transformation matrixes of corresponding local coordinates of each measuring point to the whole coordinate system (the local coordinate system is represented by a base vector of the whole coordinate system) which are respectively A ', A ' and A ';
measuring and reading the tangential and radial displacement increment of the corresponding point position at each measuring point of the vertical line to obtain the tangential and radial displacement increment of PL1-1 of (u'1,u′2) The tangential and radial displacement increments of PL1-2 are (u ″)1,u″2) Increment of tangential and radial displacement of IP1-1 of (u ″)'1,u″′2);
According to a vector coordinate transformation rule, the increment of the displacement components of the three measuring points is transformed into a whole coordinate system by using a coordinate transformation matrix to obtain the transverse river direction and forward river direction displacement increment of PL1-1 of (v'1,v′2) The increase in the transverse and forward river displacements of PL1-2 is (v ″)1,v″2) The transverse and forward river displacement increments of IP1-1 are (v ')'1,v″′2) Wherein:
(v′1,v′2)=(u′1,u′2)·A′-1;
(v″1,v″2)=(u″1,u″2)·A″-1;
(v″′1,v″′2)=(u″′2,u″′2)·A″′-1;
and (V ') respectively obtaining the total displacement measurement value of each measuring point from the top to the bottom of the arch dam by superposing the cross river displacement increment and the forward river displacement increment of each measuring point of the vertical line'1,V′2),(V″1,V″2),(V″′1,V″′2) Wherein:
(V″′1,V″′2)=(v″′1,v″′2);
(V″1,V″2)=(V″′1,V″′2)+(v″1,v″2);
(V′1,V′2)=(V″1,V″2)+(v′1,v′2);
according to a vector coordinate transformation rule, transforming the transverse river displacement and the along river displacement of each vertical line measuring point to the tangential direction and the radial direction of the corresponding point by utilizing a coordinate transformation matrix to obtain that the tangential direction displacement and the radial direction displacement of each measuring point of the vertical line of the arch dam are respectively (U'1,U′2),(U″1,U″2),(U″′1,U″′2) Wherein:
(U′1,U′2)=(V′1,V′2)·A′;
(U″1,U″2)=(V″1,V″2)·A″;
(U″′1,U″′2)=(V″′1,V″′2)·A″′。
it is to be understood that the above description is not intended to limit the present invention, and the present invention is not limited to the above examples, and those skilled in the art should understand that they can make various changes, additions and substitutions within the scope of the present invention.
Claims (2)
1. An accurate processing method for monitoring data of an arch dam vertical line is characterized by comprising the following steps:
determining a global coordinate system of the arch dam;
respectively establishing a local coordinate system taking the tangential direction and the radial direction of the corresponding measuring points as coordinate axes at the positions of the vertical line measuring points at different elevations of the arch dam;
calculating according to the body type equation of the arch dam to obtain a coordinate transformation matrix of the local coordinates of each measuring point to the overall coordinate system;
measuring and reading the tangential and radial displacement increment of the corresponding point position at each measuring point of the vertical line;
according to the vector coordinate transformation rule, transforming the increment of the displacement component of each measuring point to a whole coordinate system by using a coordinate transformation matrix;
and calculating the displacement component of each measuring point of the vertical line of the arch dam under the whole coordinate system by an algebraic summation method, and obtaining the accurate values of the radial displacement and the tangential displacement of each measuring point by the coordinate inverse transformation of the displacement vector.
2. The method for accurately processing the monitoring data of the vertical line of the arch dam according to claim 1, wherein the method comprises the following steps: the whole coordinate system is arranged along the river direction and the cross river direction.
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Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
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CN112923887A (en) * | 2021-01-21 | 2021-06-08 | 西南交通大学 | Method for testing nonlinear least square adjustment data of arbitrary plane measurement control network |
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JPH09279549A (en) * | 1996-04-12 | 1997-10-28 | ▲高▼津 和夫 | Dam construction method |
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CN102299948A (en) * | 2011-05-13 | 2011-12-28 | 浙江大学 | Wireless detection system and method of building structure relative storey displacement under vibration environment |
CN103791882A (en) * | 2014-02-28 | 2014-05-14 | 中国水电顾问集团昆明勘测设计研究院有限公司 | Arch dam complete-deformation monitoring method |
CN106096245A (en) * | 2016-06-01 | 2016-11-09 | 浙江华电器材检测研究所 | A kind of quick-installation scaffold structure analysis method based on cubic spline function |
CN110186420A (en) * | 2019-05-22 | 2019-08-30 | 中国铁道科学研究院集团有限公司铁道建筑研究所 | A kind of tunnel cross section convergence deformation auto-monitoring system |
CN110806192A (en) * | 2019-11-20 | 2020-02-18 | 武汉大学 | Method for monitoring internal deformation of high rock-fill dam |
CN111046463A (en) * | 2019-11-28 | 2020-04-21 | 郑州大学 | Truss structure deformation decomposition method based on orthogonal theory |
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2020
- 2020-06-04 CN CN202010497149.0A patent/CN111578881A/en active Pending
Patent Citations (8)
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JPH09279549A (en) * | 1996-04-12 | 1997-10-28 | ▲高▼津 和夫 | Dam construction method |
CN1632461A (en) * | 2004-12-29 | 2005-06-29 | 西安华腾光电有限责任公司 | Symmetrical closed laser arch dam deformation monitoring method |
CN102299948A (en) * | 2011-05-13 | 2011-12-28 | 浙江大学 | Wireless detection system and method of building structure relative storey displacement under vibration environment |
CN103791882A (en) * | 2014-02-28 | 2014-05-14 | 中国水电顾问集团昆明勘测设计研究院有限公司 | Arch dam complete-deformation monitoring method |
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Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
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CN112923887A (en) * | 2021-01-21 | 2021-06-08 | 西南交通大学 | Method for testing nonlinear least square adjustment data of arbitrary plane measurement control network |
CN112923887B (en) * | 2021-01-21 | 2021-08-20 | 西南交通大学 | Method for testing nonlinear least square adjustment data of arbitrary plane measurement control network |
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Application publication date: 20200825 |