CN106679621B - Structural sections relative settlement monitoring method based on inclination angle measurement - Google Patents
Structural sections relative settlement monitoring method based on inclination angle measurement Download PDFInfo
- Publication number
- CN106679621B CN106679621B CN201710050524.5A CN201710050524A CN106679621B CN 106679621 B CN106679621 B CN 106679621B CN 201710050524 A CN201710050524 A CN 201710050524A CN 106679621 B CN106679621 B CN 106679621B
- Authority
- CN
- China
- Prior art keywords
- node
- structural sections
- inclination angle
- point
- coordinate
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
- G01C5/00—Measuring height; Measuring distances transverse to line of sight; Levelling between separated points; Surveyors' levels
Landscapes
- Physics & Mathematics (AREA)
- Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Radar, Positioning & Navigation (AREA)
- Remote Sensing (AREA)
- Length Measuring Devices With Unspecified Measuring Means (AREA)
- Testing Or Calibration Of Command Recording Devices (AREA)
Abstract
The present invention provides a kind of structural sections relative settlement monitoring methods based on inclination angle measurement, since the corner of structural sections is respectively provided with a node, at least one is respectively provided in addition to the node positioned at the side two-end-point in the curved side of structural sections, a measuring point is respectively provided in the corner of structural sections, the quantity of node is no less than in the quantity for the measuring point that the curved side of structural sections is respectively provided with, obliquity sensor is set at each measuring point, obliquity sensor can measure at the measuring point with respect to the horizontal plane at the first inclination angle of orthogonal both direction and the second inclination angle, the settling amount of any point in structural sections is obtained based on predetermined inversion algorithm according to the first inclination angle of each measuring point measurement and the second inclination angle, therefore, the structural sections relative settlement monitoring method based on inclination angle measurement of the invention can not only in monitoring of structures section arbitrary point settling amount, measurement result essence Exactness is high, and applied widely.
Description
Technical field
The invention belongs to civil engineering structures to monitor field, and in particular to a kind of structural sections relative settlement prison based on inclination angle measurement
Survey method.
Background technique
In the construction and the monitoring of operation phase of the municipal works such as bridge and tunnel, the differential settlement of works is often
Engineering staff pays close attention to monitoring item the most.The bulk settling and differential settlement of works are property and construction quality reasonable in design
Most intuitive reaction.Meanwhile relative settlement also results in structure crack, influence structure service life and vehicle pass-through it is smooth
Property is structural health conditions and the mostly important index of military service performance.
The artificial measurement of the level, hydrostatic level, GPS (global positioning system) are structure sediment monitoring hands the most conventional
Section, but these methods have respective limitation: artificial measurement of the level program is complicated, is only capable of maintaining lower monitoring frequency,
It is unable to satisfy the trend that infrastructure maintenance system develops towards intelligent O&M；Hydrostatic level is by measuring each measuring point
Liquid level or the hydraulic settling amount for obtaining measuring point, the system are influenced by a variety of environmental factors such as temperature, air pressure, pressure sensing
The measurement accuracy and measurement range of device limit the structure that such system monitoring has larger depth displacement, and furthermore hydrostatic level is
A kind of concatenated measuring system, the damage of single measuring node will affect the precision of whole system；The precision of global positioning system
Lower, algorithm is complicated, and insensitive for the variation in measuring point short transverse.
In recent years, people have made many explorations in the structure sediment monitoring method based on inclination angle.Disclosed skill
During art is converged, patent document CN103993530A discloses a kind of track sedimentation two sides device and measurement side based on angle measurement
Multiple surveys and a measurement vehicle is arranged in method, this method in orbit, measures and uses on vehicle equipped with position sensor and measuring point encoder
In ensuring that vehicle reaches measuring point and carry out angle measurement, by measuring obtained angle inverting track elevation；Patent document
CN104142137A discloses a kind of tunnel Longitudinal Settlement monitoring method based on wireless tilt angle sensor, and this method is in advance in tunnel
Road side wall fixed height lays a pipeline, a monitoring trolley equipped with obliquity sensor is moved in pipeline, Mei Geyi
Set a distance measures the inclination angle of a pipeline, to pass through the distance of movement and the settling amount of the whole shield tunnel of inclination value inverting.
In above-mentioned both methods, track and tunnel are regarded as to the summation of multistage broken line, and carry out the inverting of settling amount based on the hypothesis,
This will cause sizable error in the settlement monitoring of long range.Patent document CN104807434A discloses a kind of high-speed iron
Road subgrade settlement deformation monitoring method, this method is in a certain number of steel pipes of high speed railway track extending direction setting, steel pipe
Equipped with obliquity sensor, the shape of roadbed is assumed to be a quartic polynomial, is obtained by bringing inclination angle measured value into inverse
Undetermined coefficient, to obtain the shape of whole section of roadbed.
In the above-mentioned technology having disclosed, regard tunnel and roadbed as an one-dimensional linear structure, however in reality
In, even tunnel and the linear facility of this kind of overlength of bridge is also to be made of multiple structural sections, heavy in each structural sections
Drop amount be it is independent, single structure section under the action of external load will deformation occurs in the height direction, so that it is heavy to make a difference
Drop, in addition, single structure section is frequently not linear structure, relative settlement in the direction of the width is to cannot be neglected.
Summary of the invention
The present invention is to carry out to solve the above-mentioned problems, and it is an object of the present invention to provide one kind can be any in monitoring of structures section
The settling amount of point, measurement result accuracy is high, and the structural sections relative settlement monitoring side applied widely based on inclination angle measurement
Method.
The present invention provides a kind of structural sections relative settlement monitoring methods based on inclination angle measurement, which is characterized in that including
Following steps:
Step 1, multiple nodes, node setting principle are set in structural sections are as follows: are all provided in each corner point of structural sections
A node is set, when the side of structural sections is curve, the node of two-end-point when being at least arranged one in addition to being located at this.
Step 2, multiple measuring points are set in structural sections, in the position mounted angle sensor of each measuring point, for measuring
All measuring points with respect to the horizontal plane go up the first inclination angle and the second inclination angle between orthogonal both direction, measuring point setting principle
Are as follows: it is respectively provided with a measuring point in each corner point of structural sections, the quantity of measuring point is no less than on the side and saves in structural sections each edge
The quantity of point.
Step 3, structure is obtained using inversion algorithm according to the first inclination angle of all obliquity sensors measurement and the second inclination angle
The sedimentation value of arbitrary point in section,
The step of inversion algorithm, includes:
Step 3-1 establishes rectangular coordinate system, the phase that two reference axis of rectangular coordinate system are measured with obliquity sensor respectively
Mutually vertical both direction is identical, and the coordinate in structural sections is (x, y), then the coordinate of node is (xi,yi), the coordinate of measuring point is
(xak,yak), wherein i, ak are positive integer, and ak >=i；
Step 3-2 establishes natural system of coordinates, natural coordinates in isoparametric element in the natural system of coordinates and Finite Element Method
It is that method for building up is identical, the structural sections is mapped as to a square shaped cells, the square under the natural system of coordinates
The center of unit is overlapped with the natural system of coordinates origin, and the coordinate in square shaped cells is (ζ, η), then node in structural sections
Coordinate be mapped as (ζi,ηi), the coordinate of measuring point is mapped as (ζak,ηak), wherein i, ak are positive integer, and ak >=i；
Step 3-3 establishes shape function N corresponding with each node under the natural system of coordinatesi(ζ, η), the shape
Function NiThe characteristics of (ζ, η): for the shape function at each node, the N at the nodei(ζ, η)=1, the N at other nodesi
(ζ, η)=0；
Step 3-4 is based on pre-defined rule according to the coordinate of the shape function of each node, each node and obtains the rectangular coordinate system
Under coordinate (x, y) and the natural system of coordinates under coordinate (ζ, η) between mapping relations,
Wherein, mapping relations are obtained by following steps:
Step 3-4a, by the letter of the shape function of each node of the abscissa of arbitrary point in structural sections and the abscissa of each node
Number indicates that formula is as follows:
By the function representation of the shape function of each node of the ordinate of arbitrary coordinate in structural sections and the ordinate of each node,
Formula is as follows:
Step 3-4b, between the coordinate (ζ, η) on the coordinate (x, y) and isoparametric element under rectangular coordinate system under natural system of coordinates
Mapping relations it is as follows:
Wherein, x is the abscissa of arbitrary point, xiFor the abscissa of each node, y is the ordinate of arbitrary point, yiFor each node
Ordinate,Local derviation is asked to obtain ζ and η respectively by formula (1) (2)；
Step 3-5 establishes sedimentation value at arbitrary point sedimentation value and each node shape function and each node based on pre-defined rule
Function；
Step 3-6 is obtained according in the first inclination angle of the measurement of each measuring point updip angle transducer and the second inclination angle, step 3-5
The mapping between coordinate (ζ, η) under the function arrived, coordinate (x, y) and the natural system of coordinates under the rectangular coordinate system is closed
System obtains the sedimentation value at each node based on pre-defined rule；
Step 3-7 is based on obtaining in step 3-5 according to the sedimentation value at each node, mapping relations obtained in step 3-4
Function obtain the sedimentation value of arbitrary point in structural sections.
Further, in the structural sections relative settlement monitoring method provided by the invention based on inclination angle measurement, can also have
There is such feature: where in step 3-5, the function of sedimentation value at arbitrary point sedimentation value and each node shape function and each node
Are as follows:
Wherein, u (x, y) indicates the sedimentation value of arbitrary point in structural sections, u (xi,yi) indicate the sedimentation value of each node.
Further, in the structural sections relative settlement monitoring method provided by the invention based on inclination angle measurement, can also have
There is such feature: where in step 3-5, the sedimentation value at each node is obtained by following steps:
Function in step 3-5 is asked local derviation to obtain two independents variable x and y in rectangular coordinate system by step 3-6a respectively
Each point is respectively relative to the slope expression of two reference axis in structural sections:
Wherein, kxSlope for each point in structural sections relative to x-axis, kySlope for each point in structural sections relative to y-axis, u
(x, y) indicates the sedimentation value of arbitrary point in structural sections,
And then obtain the slope expression that each measuring point is respectively relative to two reference axis:
Step 3-6b, the first inclination angle and the second inclination angle measured by obliquity sensor obtain each measuring point difference in structural sections
Relative to the slope value of two reference axis,
ky=-tan φak
kx=tan θak
Wherein, φakInclination angle for measuring point relative to y-axis direction, θakInclination angle for measuring point relative to x-axis direction, inclination angle pass
The angle that sensor is measured it is positive and negative, under rectangular coordinate system with right-hand screw rule determine.
Step 3-6c, the slope value that the slope expression obtained according to step 3-6a, step 3-6b are obtained utilize optimization
Method obtains the sedimentation value of each node,
Firstly, the form that the slope expression both sides obtained in step 3-6a are all made of matrix is indicated, then, by step
The slope value that 3-6b is obtained brings above formula into, is based on pre-defined rule using the sedimentation value that optimal method obtains each node and obtains each section
The sedimentation value of point.
Further, in the structural sections relative settlement monitoring method provided by the invention based on inclination angle measurement, can also have
There is such feature: where in step 1, the quantity of the node in the curved side of structural sections is curved according to the curved sides of structural sections
Bent mode setting.
Further, in the structural sections relative settlement monitoring method provided by the invention based on inclination angle measurement, can also have
There is such feature: where obliquity sensor is double-shaft tilt angle sensor, the angle between two axis of double-shaft tilt angle sensor
It is 90 °.
Further, in the structural sections relative settlement monitoring method provided by the invention based on inclination angle measurement, can also have
There is such feature: where obliquity sensor is inclinometer or gyroscope.Advantages of the present invention is as follows:
Structural sections relative settlement monitoring method based on inclination angle measurement involved according to the present invention, due to by structural sections
Corner is respectively provided with a node, the curved side of structural sections be respectively provided at least one in addition to be located at the side two-end-point node,
It is respectively provided with a measuring point in the corner of structural sections, is no less than node in the quantity for the measuring point that the curved side of structural sections is respectively provided with
The set-up mode of quantity, node and measuring point can according to the shapes of structural sections and the sedimentation profile reasonable Arrangement being likely to occur, from
And can more comprehensively reflect the stress condition of structural sections, the structural sections that edge is straight line are applicable not only to, edge is also applied for
For the structural sections of curve, the scope of application is wider, and obliquity sensor is arranged at each measuring point, and obliquity sensor can measure the measuring point
With respect to the horizontal plane at the first inclination angle of orthogonal both direction and the second inclination angle, obliquity sensor measurement measuring point is at place
Sedimentation in orthogonal both direction can reflect the stress condition at measuring point in more detail, so that measurement is more accurate,
The sedimentation of any point in structural sections is obtained based on predetermined inversion algorithm according to the first inclination angle of each measuring point measurement and the second inclination angle
Amount, therefore, the structural sections relative settlement monitoring method of the invention based on inclination angle measurement can not only be any in monitoring of structures section
The settling amount of point, measurement result accuracy is high, and applied widely.
Detailed description of the invention
Fig. 1 is the inserting knot figure of structural sections in the embodiment of the present invention；
Fig. 2 is the measuring point value arrangement map of structural sections in the embodiment of the present invention；
Fig. 3 is the mapping of natural system of coordinates flowering structure section in the embodiment of the present invention.
Specific embodiment
It is real below in order to be easy to understand the technical means, the creative features, the aims and the efficiencies achieved by the present invention
Example combination attached drawing is applied to be specifically addressed the structural sections relative settlement monitoring method measured the present invention is based on inclination angle.
In the present embodiment, based on inclination angle measurement structural sections relative settlement monitoring method the following steps are included:
Step 1, multiple nodes, node setting are arranged in structural sections according to the shape of structural sections and the sedimentation profile of prediction
Principle are as follows: when each corner point of structural sections is respectively provided with a node, and the side of structural sections is curve, be at least arranged one on the side
A node in addition to being located at the side two-end-point.Wherein, the quantity of the node in the curved side of structural sections is according to the curves of structural sections
The beam mode on side is arranged,.And 1,2 is numbered to each node ..., i ..., i are positive integer.
In the present embodiment, as shown in Figure 1, it is curve that structural sections, which there are two sides, one is respectively provided in the corner point of structural sections
1 node, and number 5,6 is respectively set in the middle position of every curved side in a node, and number 1,2,3,4 respectively.
Step 2, multiple measuring points are set in structural sections, in the position mounted angle sensor of each measuring point, in this implementation
In example, obliquity sensor is double-shaft tilt angle sensor, and the angle between two axis of double-shaft tilt angle sensor is 90 °.Inclination angle passes
Sensor can be inclinometer, gyroscope etc..Obliquity sensor is with respect to the horizontal plane upper orthogonal for measuring all measuring points
The first inclination angle and the second inclination angle between both direction.In the present embodiment, orthogonal both direction is respectively structural sections
Length and width both direction, therefore the first inclination angle and the second inclination angle are respectively equivalent to the point in structural sections relative to level
The inclination angle of the inclination angle of face length direction, with respect to the horizontal plane width direction.Measuring point setting principle are as follows: in each angle point of structural sections
Place is respectively provided with a measuring point, and the quantity of measuring point is no less than the quantity of node on the side in structural sections each edge.Wherein, the position of measuring point
Setting can be completely coincident with node, can also not exclusively be overlapped.And 1,2 is numbered to each node ..., ak ..., ak are
Positive integer.
In the present embodiment, as shown in Fig. 2, wherein structural sections shown in Fig. 2 are identical as structural sections in Fig. 1, in structure
The corner point of section is respectively provided with a measuring point, and number a1, a2, a3, a4 respectively, and 2 measuring points are respectively set in every curved side,
Two measuring points are located at the quartering, and number a5, a6, a7, a8 respectively.Obliquity sensor measures phase at 8 measuring points respectively
For the first inclination angle and the second inclination angle between both direction orthogonal on horizontal plane.
Step 3, it is obtained according to the first inclination angle of all obliquity sensors measurement and the second inclination angle based on pre-defined rule described
The sedimentation value of arbitrary point in structural sections.In the present embodiment, the sedimentation value of arbitrary point is obtained using inversion algorithm in structural sections, instead
Algorithm comprises the steps of:
Step 3-1 establishes rectangular coordinate system, the phase that two reference axis of rectangular coordinate system are measured respectively at obliquity sensor
Mutually vertical both direction is identical.In the present embodiment, x-axis is consistent with structural sections length direction, y-axis and structural sections width direction
Unanimously.Coordinate in structural sections is (x, y), then the coordinate of node is (xi,yi), the coordinate of measuring point is (xak,yak), wherein i, ak
It is positive integer, and ak >=i.
Step 3-2, establishes natural system of coordinates, in this patent, in natural system of coordinates and Finite Element Method in isoparametric element from
Right establishment of coordinate system method is identical.As shown in figure 3, structural sections to be mapped as to the pros that a side length is 2 under natural system of coordinates
The center of shape unit, square shaped cells is overlapped with natural system of coordinates origin, and the coordinate in square shaped cells is (ζ, η), then structure
The coordinate of node is mapped as (ζ in sectioni,ηi), the coordinate of measuring point is mapped as (ζak,ηak), wherein i, ak are positive integer, and ak >=
i。
Step 3-3 establishes shape function N corresponding with each node under natural system of coordinatesi(ζ,η).Shape function Ni(ζ,
η) the characteristics of: for the shape function at each node, the N at the nodei(ζ, η)=1, the N at other nodesi(ζ, η)=0.
In the present embodiment, under natural system of coordinates, the shape function at each node is as follows:
Step 3-4 is obtained under ordinary coor system according to the coordinate of the shape function of each node, each node based on pre-defined rule
The mapping relations between coordinate (ζ, η) on coordinate (x, y) and isoparametric element under natural system of coordinates, mapping relations pass through following steps
It obtains:
Step 3-4a, by the letter of the shape function of each node of the abscissa of arbitrary point in structural sections and the abscissa of each node
Number indicates that formula is as follows:
By the function representation of the shape function of each node of the abscissa of arbitrary coordinate in structural sections and the abscissa of each node,
Formula is as follows:
Step 3-4b, between the coordinate (ζ, η) on the coordinate (x, y) and isoparametric element under rectangular coordinate system under natural system of coordinates
Mapping relations it is as follows:
Wherein, x is the abscissa of arbitrary point, xiFor the abscissa of each node, y is the ordinate of arbitrary point, yiFor each node
Ordinate,Local derviation is asked to obtain ζ and η respectively by formula (1) (2).
Step 3-5 establishes sedimentation value at arbitrary point sedimentation value and each node shape function and each node based on pre-defined rule
Function, function expression are as follows:
Wherein, u (x, y) indicates the sedimentation value of arbitrary point in structural sections, u (xi,yi) indicate the sedimentation value of each node.
Step 3-6 is obtained according in the first inclination angle of the measurement of each measuring point updip angle transducer and the second inclination angle, step 3-5
The mapping between coordinate (ζ, η) in function, the coordinate (x, y) under rectangular coordinate system and the isoparametric element arrived under natural system of coordinates is closed
System obtains the sedimentation value at each node based on pre-defined rule.Sedimentation value at each node is obtained by following steps:
Function in step 3-5 is asked local derviation to obtain two independents variable x and y in rectangular coordinate system by step 3-6a respectively
Each point is respectively relative to the slope expression of two reference axis in structural sections:
Wherein, kxSlope for each point in structural sections relative to x-axis, kySlope for each point in structural sections relative to y-axis,
And then obtain the slope expression that each measuring point is respectively relative to two reference axis:
Wherein, ky(ak)Slope for ak measuring point relative to y-axis, kx(ak)Slope for ak measuring point relative to x-axis.
Step 3-6b, the first inclination angle and the second inclination angle measured by obliquity sensor obtain each measuring point difference in structural sections
Relative to the slope value of two reference axis,
ky(ak)=-tan φak
kx(ak)=tan θak
Wherein, φakInclination angle for ak measuring point in y-axis direction, θakIt is ak measuring point in the inclination angle of x-axis direction, obliquity sensor
The angle measured it is positive and negative, under rectangular coordinate system with right-hand screw rule determine.
Step 3-6c, the slope value that the slope expression obtained according to step 3-6a, step 3-6b are obtained utilize optimization
Method obtains the sedimentation value of each node.
By the slope expression both sides obtained in step 3-6a be all made of matrix form indicate, the right arrange after obtain as
Following formula:
In the present embodiment,
It brings the obtained slope value of step 3-6b into above formula, obtains the sedimentation value of each node using optimal method
Step 3-7 is based on obtaining in step 3-5 according to the sedimentation value at each node, mapping relations obtained in step 3-4
Function obtain the sedimentation value of arbitrary point in structural sections.
By the sedimentation value u (x at each node obtained in step 3-6i,yi) bring function obtained in step 3-5 into, by x, y
The mapping relations obtained according to step 3-4 be scaled ζ, η, function obtained in step 3-5 is brought into, to obtain arbitrary point
Sedimentation value.
Above embodiment is preferred case of the invention, the protection scope being not intended to limit the invention.
Claims (6)
1. a kind of structural sections relative settlement monitoring method based on inclination angle measurement characterized by comprising
Step 1, multiple nodes, the node setting principle are set in structural sections are as follows: in each corner point of the structural sections
It is respectively provided with a node, when the side of the structural sections is curve, the section of two-end-point when being at least arranged one in addition to being located at this
Point；
Step 2, multiple measuring points are set in the structural sections, in the position mounted angle sensor of each measuring point, are used for
First inclination angle and second inclination angle of all measuring points with respect to the horizontal plane between upper orthogonal both direction are measured, it is described
Measuring point setting principle are as follows: be respectively provided with a measuring point, measuring point in the structural sections each edge in each corner point of the structural sections
Quantity be no less than the quantity of node on the side；
Step 3, it is obtained according to the first inclination angle of all obliquity sensor measurements and the second inclination angle using inversion algorithm described
The sedimentation value of arbitrary point in structural sections,
The step of inversion algorithm, includes:
Step 3-1, establishes rectangular coordinate system, and two reference axis of rectangular coordinate system are hung down with the mutual of obliquity sensor measurement respectively
Straight both direction is identical, and the coordinate in structural sections is (x, y), then the coordinate of node is (xi,yi), the coordinate of measuring point is (xak,
yak), wherein i, ak are positive integer, and ak >=i；
Step 3-2, establishes natural system of coordinates, and the natural system of coordinates is built with natural system of coordinates in isoparametric element in Finite Element Method
Cube method is identical, and the structural sections are mapped as to a square shaped cells, the square shaped cells under the natural system of coordinates
Center be overlapped with the natural system of coordinates origin, the coordinate in square shaped cells be (ζ, η), then in structural sections node seat
Mark is mapped as (ζi,ηi), the coordinate of measuring point is mapped as (ζak,ηak), wherein i, ak are positive integer, and ak >=i；
Step 3-3 establishes shape function N corresponding with each node under the natural system of coordinatesi(ζ, η), the shape function
NiThe characteristics of (ζ, η): for the shape function at each node, the N at the nodei(ζ, η)=1, the N at other nodesi(ζ,η)
=0；
Step 3-4 is obtained under the rectangular coordinate system according to the coordinate of the shape function of each node, each node based on pre-defined rule
The mapping relations between coordinate (ζ, η) under coordinate (x, y) and the natural system of coordinates,
Wherein, mapping relations are obtained by following steps:
Step 3-4a, by the function table of the shape function of each node of the abscissa of arbitrary point in structural sections and the abscissa of each node
Show, formula is as follows:
By the function representation of the shape function of each node of the ordinate of arbitrary coordinate in structural sections and the ordinate of each node, formula
It is as follows:
Step 3-4b, reflecting between the coordinate (ζ, η) on the coordinate (x, y) and isoparametric element under rectangular coordinate system under natural system of coordinates
It is as follows to penetrate relationship:
Wherein, x is the abscissa of arbitrary point, xiFor the abscissa of each node, y is the ordinate of arbitrary point, yiFor the vertical of each node
Coordinate,Local derviation is asked to obtain ζ and η respectively by formula (1) (2)；
Step 3-5 establishes the function of sedimentation value at arbitrary point sedimentation value and each node shape function and each node based on pre-defined rule；
Step 3-6, according to obtained in the first inclination angle of the measurement of each measuring point updip angle transducer and the second inclination angle, step 3-5
The mapping relations base between the coordinate (ζ, η) under coordinate (x, y) and the natural system of coordinates under function, the rectangular coordinate system
The sedimentation value at each node is obtained in pre-defined rule；
Step 3-7 is based on letter obtained in step 3-5 according to the sedimentation value at each node, mapping relations obtained in step 3-4
Number obtains the sedimentation value of arbitrary point in structural sections.
2. the structural sections relative settlement monitoring method according to claim 1 based on inclination angle measurement, it is characterised in that:
Wherein, in step 3-5, the function of sedimentation value at arbitrary point sedimentation value and each node shape function and each node are as follows:
Wherein, u (x, y) indicates the sedimentation value of arbitrary point in structural sections, u (xi,yi) indicate the sedimentation value of each node.
3. the structural sections relative settlement monitoring method according to claim 2 based on inclination angle measurement, it is characterised in that:
Wherein, in step 3-6, the sedimentation value at each node is obtained by following steps:
Function in step 3-5 is asked local derviation to be tied two independents variable x and y in rectangular coordinate system by step 3-6a respectively
Each point is respectively relative to the slope expression of two reference axis in structure section:
Wherein, kxSlope for each point in structural sections relative to x-axis, kySlope for each point in structural sections relative to y-axis, u (x,
Y) sedimentation value of arbitrary point in structural sections is indicated,
And then obtain the slope expression that each measuring point is respectively relative to two reference axis:
Step 3-6b, it is opposite respectively that the first inclination angle and the second inclination angle measured by obliquity sensor obtains each measuring point in structural sections
In the slope value of two reference axis,
ky=-tan φak
kx=tan θak
Wherein, φakInclination angle for measuring point relative to y-axis direction, θakInclination angle for measuring point relative to x-axis direction, obliquity sensor
The angle measured it is positive and negative, under rectangular coordinate system with right-hand screw rule determine；
Step 3-6c, the slope value that the slope expression obtained according to step 3-6a, step 3-5b are obtained utilize optimal method
The sedimentation value of each node is obtained,
Firstly, the form that the slope expression both sides obtained in step 3-6a are all made of matrix is indicated, then, by step 3-6b
Obtained slope value brings above formula into, obtains each node based on pre-defined rule using the sedimentation value that optimal method obtains each node
Sedimentation value.
4. the structural sections relative settlement monitoring method according to claim 1 based on inclination angle measurement, it is characterised in that:
Wherein, in step 1, the quantity of the node in the curved side of the structural sections is according to the bending of the curved side of the structural sections
Mode setting.
5. the structural sections relative settlement monitoring method according to claim 1 based on inclination angle measurement, it is characterised in that:
Wherein, the obliquity sensor is double-shaft tilt angle sensor, the angle between two axis of the double-shaft tilt angle sensor
It is 90 °.
6. the structural sections relative settlement monitoring method method according to claim 5 based on inclination angle measurement, it is characterised in that:
Wherein, the obliquity sensor is inclinometer or gyroscope.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710050524.5A CN106679621B (en) | 2017-01-23 | 2017-01-23 | Structural sections relative settlement monitoring method based on inclination angle measurement |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710050524.5A CN106679621B (en) | 2017-01-23 | 2017-01-23 | Structural sections relative settlement monitoring method based on inclination angle measurement |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN106679621A CN106679621A (en) | 2017-05-17 |
| CN106679621B true CN106679621B (en) | 2019-02-22 |
Family
ID=58859882
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201710050524.5A Active CN106679621B (en) | 2017-01-23 | 2017-01-23 | Structural sections relative settlement monitoring method based on inclination angle measurement |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN106679621B (en) |
Families Citing this family (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107764236B (en) * | 2017-09-20 | 2020-07-31 | 东华大学 | Geotechnical engineering settlement monitoring system and method based on wireless sensing technology |
| CN109238223B (en) * | 2018-07-30 | 2021-04-27 | 中铁七局集团西安铁路工程有限公司 | Differential settlement accumulation measuring method and device |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102564333A (en) * | 2010-12-29 | 2012-07-11 | 中国铁道科学研究院铁道建筑研究所 | Test method for dynamic deflection of railway subgrade |
| CN104792306A (en) * | 2014-11-28 | 2015-07-22 | 郑州合智汇金电子科技有限公司 | Inclination angle measuring method |
| CN105808818A (en) * | 2016-01-28 | 2016-07-27 | 中煤科工集团唐山研究院有限公司 | Method for evaluating foundation stability of coal mining subsidence area |
| CN105937879A (en) * | 2016-06-30 | 2016-09-14 | 嘉兴同禾传感技术有限公司 | Slope displacement and inclination angle monitoring device and method |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101793630B (en) * | 2010-04-02 | 2011-06-01 | 东南大学 | Cable structure health monitoring method based on angle monitoring |
-
2017
- 2017-01-23 CN CN201710050524.5A patent/CN106679621B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102564333A (en) * | 2010-12-29 | 2012-07-11 | 中国铁道科学研究院铁道建筑研究所 | Test method for dynamic deflection of railway subgrade |
| CN104792306A (en) * | 2014-11-28 | 2015-07-22 | 郑州合智汇金电子科技有限公司 | Inclination angle measuring method |
| CN105808818A (en) * | 2016-01-28 | 2016-07-27 | 中煤科工集团唐山研究院有限公司 | Method for evaluating foundation stability of coal mining subsidence area |
| CN105937879A (en) * | 2016-06-30 | 2016-09-14 | 嘉兴同禾传感技术有限公司 | Slope displacement and inclination angle monitoring device and method |
Also Published As
| Publication number | Publication date |
|---|---|
| CN106679621A (en) | 2017-05-17 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN106767686B (en) | Structural settlement monitoring method and system based on inclination angle and structural joint deformation measurement | |
| US8209134B2 (en) | Methods for modeling the structural health of a civil structure based on electronic distance measurements | |
| CN103499340B (en) | Measurement device and measurement method for vertical great-height difference height transmission | |
| CN104897133B (en) | A kind of on-line monitoring method for the sedimentation test of long range wire infrastructure | |
| CN109029882A (en) | Method for improving bridge deflection test precision based on inclinometer | |
| Teza et al. | Geometric characterization of a cylinder-shaped structure from laser scanner data: Development of an analysis tool and its use on a leaning bell tower | |
| CN106908028A (en) | Piping lane sedimentation detecting system and detection method | |
| CN106679621B (en) | Structural sections relative settlement monitoring method based on inclination angle measurement | |
| McAnallen et al. | Initial geometric imperfection measurement and characterization of cold-formed steel C-section structural members with 3D non-contact measurement techniques | |
| CN104674855A (en) | Foundation pit displacement monitoring method based on difference technology | |
| He et al. | New method for high-speed railway bridge dynamic deflection measurement | |
| CN106989718A (en) | A kind of Monitoring method of the subsidence based on MEMS | |
| CN104613886A (en) | Long-gauge FBG (Fiber Bragg Grating) based settlement joint two-dimensional deformation and opposite inclination monitoring method | |
| Chen et al. | Internal deformation monitoring for earth-rockfill dam via high-precision flexible pipeline measurements | |
| CN206787542U (en) | Structure sediment monitoring system based on inclination angle Yu structural joint deformation measurement | |
| CN110132161A (en) | A method of based on strain measurement mid-span deflection in bridge span | |
| Beshr | Structural data analysis for monitoring the deformation of oil storage tanks using geodetic techniques | |
| Bagherbandi et al. | Physical and geometric effects on the classical geodetic observations in small-scale control networks | |
| Parker | Nondestructive testing and monitoring of stiff large-scale structures by measuring 3D coordinates of cardinal points using electronic distance measurements in a trilateration architecture | |
| CN207963844U (en) | Mining influence lower room basic slope settles stretcher strain measuring device | |
| Previtali et al. | Informative content models for infrastructure load testing management: the Azzone Visconti Bridge In Lecco | |
| El-Ashmawy | Developing and testing a method for deformations measurements of structures | |
| CN102072719B (en) | Vertical height-transmitting instrument | |
| CN107504947B (en) | Device for measuring relative deformation | |
| Qiu et al. | Terrestrial laser scanning for deformation monitoring of the thermal pipeline traversed subway tunnel engineering |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |