CN111832108A - Structural displacement response estimation method and device based on dip angle monitoring data - Google Patents
Structural displacement response estimation method and device based on dip angle monitoring data Download PDFInfo
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Abstract
The application relates to a structural displacement response estimation method and device based on dip angle monitoring data. The structural displacement response estimation method based on the inclination angle monitoring data comprises the following steps: constructing a slope at a node and establishing a relation between the slope and a dip angle at the node; constructing a section node position curve mathematical model; determining a section node position curve according to the relation between the slope and the inclination angle, the relation between the slope and the curve and the monitoring data; wherein, the monitoring data includes: measuring the inclination angle of a point; the real measuring points are nodes for which inclination angle data can be obtained by installing an inclinometer in the divided sections of the space steel structure; and determining the static displacement of the space steel structure according to the section node position curve.
Description
Technical Field
The application relates to the technical field of monitoring data processing of civil engineering structures, in particular to a structure displacement response estimation method and device based on inclination angle monitoring data.
Background
Due to the special stress of the large-span space steel structure and the complexity of the structure, safety accidents are easily caused in the construction process, performance deterioration is inevitably caused in the use process, and even accidents such as structural collapse are caused. The structure health monitoring technology is characterized in that sensors are arranged at key parts of a structure, sensor data are collected, response information under the real environment of the structure is obtained, and the current health state of the structure is determined. Among the commonly adopted monitoring projects, displacement monitoring is a relatively intuitive monitoring means, because the actual change condition of the structure in the construction stage or the use stage can be directly reflected by displacement and deformation. In the construction process, the displacement monitoring can judge whether the spatial displacement of the structure meets the requirement of construction errors, ensure that the elevation and the horizontal displacement of the spatial structure meet the design requirement, and provide basis and guidance for the adjustment of the construction scheme. In the using process, the displacement monitoring can reflect the deformation characteristics of the structure and is an important index for controlling the strength of the structure.
In the related large-span space structure displacement monitoring technology, a control point selected by a structure is mainly measured by instruments such as a displacement meter, a level, a theodolite, a total station and a GPS. Traditional instruments such as displacement meters and leveling instruments which are not suitable for high-altitude operation are gradually replaced by total stations. When the data obtained by deformation monitoring is small, the total station cannot be aimed visually due to the limitation of elevation factors. The GPS measurement technology can better monitor the deformation of the structure for a long time, but high-frequency vibration is difficult to monitor due to low space-time sampling rate, and the high-frequency vibration is influenced by various non-modeling system errors, such as multipath errors, residual atmospheric delay errors, observation noise and the like, the dynamic measurement precision is difficult to guarantee, and for a large-span space steel structure, when deformation monitoring is carried out through a GPS, a large number of deformation measuring points need to be arranged, and the measurement cost is high.
Disclosure of Invention
To overcome at least some of the problems in the related art, the present application provides a method and apparatus for estimating structural displacement response based on tilt monitoring data.
Based on the first aspect of the present application, a structural displacement response estimation method based on tilt monitoring data is provided, including:
constructing a slope at a node and establishing a relation between the slope and a dip angle at the node;
constructing a section node position curve mathematical model;
determining a section node position curve according to the relation between the slope and the inclination angle, the relation between the slope and the curve and the monitoring data; wherein, the monitoring data includes: measuring the inclination angle of a point; the real measuring points are nodes for which inclination angle data can be obtained by installing an inclinometer in the divided sections of the space steel structure;
and determining the static displacement of the space steel structure according to the section node position curve.
Optionally, the constructing a slope at a node and establishing a relationship between the slope and a tilt angle at the node includes:
dividing the structure into a transverse section and a longitudinal section;
constructing a slope at a node;
and establishing a relation between the slope and the inclination angle.
Optionally, the determining a slope at a node includes:
establishing an initial section node two-dimensional curve in the section according to the node two-dimensional coordinates;
determining two intersection points of the node and the adjacent rod piece according to the initial section node two-dimensional curve; wherein the intersection point is: the intersection point of the first circle and the adjacent rod piece; the first circle is a circle which takes the node as the center of a circle and takes a first preset length as the radius. The first preset length is smaller than the length of the adjacent rod piece;
drawing tangent lines at the nodes of the circumscribed circle structure according to the nodes and the three points of the two intersection points;
and constructing the slope at the node according to the tangent of the circumcircle at the node.
Optionally, the establishing a relationship between a slope and an inclination angle includes:
determining the rotation condition of a tangent line at a load change node;
and determining the relation between the slope and the inclination angle at the load change node according to the rotation condition of the tangent line at the node.
Optionally, the constructing a section node position curve mathematical model includes:
establishing a group of discrete orthogonal function groups;
and constructing a mathematical model of the section node position curve containing the coefficient to be solved according to the orthogonal function group, the boundary condition of the section and the position of the actual measuring point.
Optionally, determining a section node position curve according to the relationship between the slope and the inclination angle, the relationship between the slope and the curve, and the inclination angle at the measured point, includes:
fitting the slopes of all node structures of the cross section with X coordinates of all nodes;
determining a fitted slope value at each node;
determining the slope of the load acting node according to the relation between the slope and the slope of the actually measured point;
deriving a section node position curve equation to obtain a node slope equation;
and substituting the slope of the load acting node into a slope equation of the node to determine a position curve of the section node.
Optionally, confirm the static displacement of spatial steel structure according to section node position curve, include:
determining the bidirectional displacement of the section node according to the section node position curve;
determining three-way displacement of the cross section intersection node according to the two-way displacement of the cross section node;
determining the three-way displacement of the displacement point to be estimated according to the three-way displacement of the displacement known point;
the known displacement points are intersection nodes of three-way displacement and boundary nodes of the space steel structure determined by the two-way displacement of the section nodes;
and the displacement to-be-estimated points are all nodes of which the displacements are unknown except the intersected nodes and the boundary nodes of the space steel structure.
Optionally, the determining the three-way displacement of the cross section intersection node according to the two-way displacement of the cross section node includes:
determining the displacement of the node X, Z in the cross section of the structural division;
determining node X, Y direction displacement on the structural division vertical section;
determining X, Y, Z three-way displacement of the intersection node of the intersecting sections.
Optionally, the determining the three-way displacement of the displacement point to be estimated according to the three-way displacement of the displacement known point includes:
and respectively determining a three-way displacement estimation formula according to an inverse distance weighted interpolation method, so that the displacement value of the displacement point to be estimated is equal to the weighted average of the displacement values of all displacement known points in the selected range of the displacement point to be estimated.
According to a second aspect of the present application, there is provided a structural displacement response estimation device based on tilt monitoring data, including:
a construction module for constructing a slope at a node;
the establishing module is used for establishing the relation between the slope and the inclination angle at the node;
the construction module is also used for constructing a section node position curve mathematical model;
the determining module is used for determining a section node position curve according to the relation between the slope and the inclination angle, the relation between the slope and the curve and the monitoring data; wherein, the monitoring data includes: measuring the inclination angle of a point; the real measuring points are nodes for which inclination angle data can be obtained by installing an inclinometer in the divided sections of the space steel structure;
and the determining module is also used for determining the static displacement of the space steel structure according to the section node position curve.
The technical scheme provided by the embodiment of the application can have the following beneficial effects:
the method can use the existing structure finite element model to obtain the initial two-dimensional coordinate of the structure, construct the slope of the node based on the initial two-dimensional coordinate of the structure, and further use the dip angle monitoring data of the structure health monitoring system to realize the estimation of the static displacement response of the space steel structure. Compared with the scheme in the comparison file, the deformation measuring point measuring method has the advantages that fewer deformation measuring points need to be arranged during measurement, fewer instruments need to be arranged, and maintenance is simpler.
It is to be understood that both the foregoing general description and the following detailed description are exemplary and explanatory only and are not restrictive of the application.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments consistent with the present application and together with the description, serve to explain the principles of the application.
FIG. 1 is a flow chart illustrating a method for structural displacement response estimation based on tilt monitoring data according to an exemplary embodiment.
Fig. 2 is a two-dimensional plot of the initial cross-section nodes.
FIG. 3 is a first circular diagram with the i-th node as the center.
FIG. 4 is a three-point tangent line at a node of the circular configuration.
FIG. 5 is a partial flow diagram illustrating a method for structure displacement response estimation based on tilt monitoring data according to an exemplary embodiment.
FIG. 6 is a partial flow diagram illustrating a method for structure displacement response estimation based on tilt monitoring data according to an exemplary embodiment.
Fig. 7 is a schematic structural diagram illustrating a structural displacement response estimation apparatus based on tilt monitoring data according to an exemplary embodiment.
Detailed Description
Reference will now be made in detail to the exemplary embodiments, examples of which are illustrated in the accompanying drawings. When the following description refers to the accompanying drawings, like numbers in different drawings represent the same or similar elements unless otherwise indicated. The embodiments described in the following exemplary embodiments do not represent all embodiments consistent with the present application. Rather, they are merely examples consistent with certain aspects of the present application, as detailed in the appended claims.
As shown in fig. 1, the present invention provides a structural displacement response estimation method based on tilt monitoring data, which includes the following steps:
s1, constructing the slope at the node and establishing the relation between the slope and the inclination angle at the node;
s2, constructing a section node position curve mathematical model;
s3, determining a section node position curve according to the relation between the slope and the inclination angle, the relation between the slope and the curve and the monitoring data; wherein, the monitoring data includes: measuring the inclination angle of a point; the real measuring points are nodes for which inclination angle data can be obtained by installing an inclinometer in the divided sections of the space steel structure;
and S4, determining the static displacement of the space steel structure according to the section node position curve.
The monitoring data are obtained by monitoring an inclinometer, and the inclinometer is set according to the section optimal arrangement scheme.
The method can use the existing structure finite element model to obtain the two-dimensional coordinates of the initial node of the structure, construct the slope of the node based on the two-dimensional coordinates, and further use the dip angle monitoring data of the structure health monitoring system to realize the structure displacement response estimation method based on the dip angle monitoring data.
In the specific application of the above embodiment, the above embodiment is described in detail by specific examples, which specifically include the following:
the step S1 includes:
s11 dividing the structure into transverse and longitudinal sections;
s12, constructing the slope at the node;
s13 relates the slope to the inclination angle.
S12, the slope at the construction node adopts the following method:
s121, as shown in FIG. 2, n nodes are arranged in a structural section, and an initial section node two-dimensional curve is established according to two-dimensional coordinates of the n nodes of the section;
s122, as shown in the figure 3, making a circle by taking the ith node as the circle center and the length r (which is less than the length of the adjacent rod piece of the node) as the radius, and determining two intersection points of the node and the adjacent rod piece;
s123, as shown in the figure 4, three points are used as circumscribed circles through the ith node and two intersection points of the circle and the adjacent rod piece to construct a tangent line at the node;
and S124, the slope of the tangent line at the node is the slope at the node of the structure. Position coordinates (X) of the ith node and two adjacent nodes when the structure model is builti-1,Zi-1),(Xi,Zi),(Xi+1,Zi+1) The equation of the circumscribed circle can be obtained as follows:
(X-a)2+(Z-b)2=R2(1)
R=(Xi-a)2+(Zi-b)2(4)
obtaining the slope k of the ith node according to the circumscribed equationiComprises the following steps:
s13, the relationship between the slope and the inclination angle is established by the following method:
s131, when the load changes, the variation delta alpha of the included angle alpha between the tangent line at the ith node and the X axis is a node inclination angle;
s132, determining the relation between the slope and the inclination angle at the node according to the rotation condition when the tangential load at the node changes as follows:
γj=arctank1-arctank2(6)
the step S2 includes S21 establishing a group of discrete orthogonal function groups, and S22 constructing a section node position curve mathematical model containing a coefficient to be solved according to the orthogonal function groups, the boundary condition of the section and the position of the actual measuring point.
S21, the following method is adopted for establishing a group of discrete orthogonal functions:
given aBased on survey point arrangement position Xj(j ═ 1,2, …, m), a set of entries is defined using a cubic recurrence formulaThe set of discrete orthogonal functions involved is:
s22, constructing a mathematical model of a section node position curve of the coefficient to be solved according to the orthogonal function group, the boundary condition of the section and the position of the actual measuring point by adopting the following method:
by discrete orthogonal function setsBoundary condition G (X) satisfying section constrainti)=(Xi-X1)(Xi-Xn) And the mathematical model of the section node position curve under the action of the construction load is as follows:
wherein A is1,A2,…,AmIs the set of coefficients to be found.
FIG. 5 is a partial flow diagram illustrating a method for structure displacement response estimation based on tilt monitoring data according to an exemplary embodiment. Referring to fig. 5, the step S3 includes:
s31, fitting the slopes of all node structures of the cross section with X coordinates of all nodes;
s32, determining the fitted slope value at each node;
s33, determining the slope of the load acting node according to the relation between the slope and the slope of the actually measured point;
s34, deriving a section node position curve equation to obtain a node slope equation;
and S35, substituting the slope of the load acting node into a slope equation at the node to determine a section node position curve.
S31, fitting the slopes of all node structures of the section with the X coordinates of all nodes by adopting the following method:
slope of the node structure of the cross section is k2,k3,…,ki,…,kn-1The initial transverse coordinate of the section node is X2,X3,…,Xi,…,Xn-1They were subjected to a cubic polynomial fit to:
f1(Xi)=λ3Xi 3+λ2Xi 2+λ1Xi+λ0(13)
wherein λ3,λ2,λ1,λ0Are fitting coefficients.
S32, determining the fitted slope value at each node as k12k13…k1i…k1n-1;
S33, determining the slope of the load acting node according to the relation between the slope and the inclination angle by adopting the following method:
assuming that m inclinometers are arranged on the cross section, the inclination angles of m nodes of the arranged inclinometers are measured to be gamma respectively1,γ2,…,γmDetermining the slope k of m nodes on which the inclinometer is arranged when the load acts through the relation between the node inclination angle and the slope2j(j=1,2,…,m);
The inclinometer adopts the arrangement principle that three measuring points are arranged on each section, the inclinometer is arranged on a middle node and a symmetrical node of each section at different time, the measuring points are uniformly arranged on the section as far as possible, and at least one inclinometer is arranged between two points close to the boundary of the section.
S34, the following method is adopted for deriving the slope equation at the node by the section node position curve equation:
the derivation of the section node position curve equation under the load action is as follows:
s35, substituting the slope at the load acting node into a slope equation at the node to determine a section node position curve by adopting the following method:
the slope equation under the load action is as follows:
when the load is acted, the abscissa X at the node of the arrangement inclinometer is determinedjAnd slope k at the corresponding node2jAnd substituting the slope equation to determine a coefficient group to be solved in the section node position curve equation so as to determine a load acting section node position curve.
FIG. 6 is a partial flow diagram illustrating a method for structure displacement response estimation based on tilt monitoring data according to an exemplary embodiment. Referring to fig. 6, the step S4 includes:
s41, determining the two-way displacement of the section node according to the section node position curve;
s42, determining the three-way displacement of the cross section intersection node according to the two-way displacement of the cross section node;
s43, determining the three-way displacement of the displacement point to be estimated according to the three-way displacement of the displacement known point;
the step S41 of determining the bidirectional displacement of the section node according to the section node position curve adopts the following method:
determining the vertical estimated position of each node according to the node position curve of the loading action sectionAnd further determining the vertical estimated displacement of each node as:
and constructing a slope for fitting, wherein the initial deviation between the vertical position of the initial node meeting the fitting slope condition and the vertical position of the initial node when the actual model is built is generated by the error between the fitting slope and the construction slope, and the initial deviation compensation calculation is as follows:
substituting the fitting slope equation in the model building process into the section boundary condition (X)1,Z1),(Xn,Zn) Integration, determining an initial cross-sectional nodal point position curve satisfying the fitted slope, thereby determined from the initial cross-sectional nodal point position curveNode vertical position Z when building with structural model2,Z3,…,Zi,…,Zn-1The initial deviation between is:
after considering the initial deviation compensation, the vertical estimated displacement of the node is:
and determining the transverse displacement of the section node according to the vertical position coordinates of the section node. Suppose a rod member L connected to the ith nodei-1,i(the rod piece connected with the ith node) has the same projection length on the XOZ section, and takes the ith-1 node as the center of a circle and Li-1,iMaking a circle for the radius, the equation for the circle is:
(X-X2i-1)2+(Z-Z2i-1)2=Li-1,i 2(19) coordinate Z of vertical position of ith node under load action2iSubstituting the circular equation to determine the transverse displacement of the ith node of the load action as follows:
s42, determining the three-way displacement of the cross section intersection node according to the two-way displacement of the cross section node by adopting the following method:
s421 according to the structural section displacement estimation method based on the dip angle monitoring, section node displacement estimation is carried out in the cross section of the structural division, and X, Z two-way displacement of the node is determined;
s422, according to a structural section displacement estimation method based on dip monitoring, section node displacement estimation is carried out in the longitudinal section divided by the structure, and X, Y two-way displacement of the node is determined;
and S423, determining X, Y, Z three-way displacement of the intersected nodes according to the two-way displacement of the intersected nodes of the transverse and longitudinal sections.
S43, determining the three-way displacement of the displacement point to be estimated according to the three-way displacement of the displacement known point by adopting the following method:
and performing three-way displacement estimation on the j-th displacement point to be estimated, wherein N displacement known points exist in the j-th node estimation range. The N displacement known points are selected from the surrounding of the displacement to-be-estimated point j, wherein the surrounding of the displacement known points are selected to form a closed area with the displacement known points as boundaries, and N is the number of the displacement known points of the boundary of the closed area.
Respectively determining a three-way displacement estimation formula according to an inverse distance weighted interpolation method as follows:
wherein W (j, c) is a weight function of
W(j,c)=Sjc -k(24)
Wherein SjcThe shortest rod piece distance from the jth node to the c node is defined as k.
SjcThe selection method comprises the following steps:
supposing that p rod piece paths are provided, the u rod piece path passes through g nodes, and the length of the rod piece connecting two adjacent nodes E and F is Lν. For g nodes, the length of the rod piece connecting two adjacent nodes is L in sequence1,L2,…,Lν,…,Lg-1The u-th rod path is
Wherein the length L of the rod between two adjacent nodes E and FνIs composed of
Fig. 7 is a schematic structural diagram illustrating a structural displacement response estimation apparatus based on tilt monitoring data according to an exemplary embodiment. Referring to fig. 7, the structural displacement response estimating apparatus based on tilt monitoring data includes:
a construction module 71 for constructing a slope at a node;
an establishing module 72 for establishing a relationship between the slope and a pitch angle at a node;
the construction module 71 is further used for constructing a section node position curve mathematical model;
the determining module 73 is configured to determine a section node position curve according to the relationship between the slope and the inclination angle, the relationship between the slope and the curve, and the monitoring data; wherein, the monitoring data includes: measuring the inclination angle of a point; the real measuring points are nodes for which inclination angle data can be obtained by installing an inclinometer in the divided sections of the space steel structure;
and the determining module 73 is further configured to determine the static displacement of the spatial steel structure according to the section node position curve. It is understood that the same or similar parts in the above embodiments may be mutually referred to, and the same or similar parts in other embodiments may be referred to for the content which is not described in detail in some embodiments.
It should be noted that, in the description of the present application, the terms "first", "second", etc. are used for descriptive purposes only and are not to be construed as indicating or implying relative importance. In addition, in the description of the present application, the meaning of "plurality" means at least two unless otherwise specified.
Any process or method descriptions in flow charts or otherwise described herein may be understood as: represents modules, segments or portions of code which include one or more executable instructions for implementing specific logical functions or steps of a process, and the scope of the preferred embodiments of the present application includes other implementations in which functions may be executed out of order from that shown or discussed, including substantially concurrently or in reverse order, depending on the functionality involved, as would be understood by those reasonably skilled in the art of the embodiments of the present application.
It should be understood that portions of the present application may be implemented in hardware, software, firmware, or a combination thereof. In the above embodiments, the various steps or methods may be implemented in software or firmware stored in memory and executed by a suitable instruction execution system. For example, if implemented in hardware, as in another embodiment, any one or combination of the following techniques, which are known in the art, may be used: a discrete logic circuit having a logic gate circuit for implementing a logic function on a data signal, an application specific integrated circuit having an appropriate combinational logic gate circuit, a Programmable Gate Array (PGA), a Field Programmable Gate Array (FPGA), or the like.
It will be understood by those skilled in the art that all or part of the steps carried by the method for implementing the above embodiments may be implemented by hardware related to instructions of a program, which may be stored in a computer readable storage medium, and when the program is executed, the program includes one or a combination of the steps of the method embodiments.
In addition, functional units in the embodiments of the present application may be integrated into one processing module, or each unit may exist alone physically, or two or more units are integrated into one module. The integrated module can be realized in a hardware mode, and can also be realized in a software functional module mode. The integrated module, if implemented in the form of a software functional module and sold or used as a stand-alone product, may also be stored in a computer readable storage medium.
The storage medium mentioned above may be a read-only memory, a magnetic or optical disk, etc.
In the description herein, reference to the description of the term "one embodiment," "some embodiments," "an example," "a specific example," or "some examples," etc., means that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the application. In this specification, the schematic representations of the terms used above do not necessarily refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
Although embodiments of the present application have been shown and described above, it is understood that the above embodiments are exemplary and should not be construed as limiting the present application, and that variations, modifications, substitutions and alterations may be made to the above embodiments by those of ordinary skill in the art within the scope of the present application.
Claims (10)
1. A structural displacement response estimation method based on dip angle monitoring data is characterized by comprising the following steps:
constructing a slope at a node and establishing a relation between the slope and a dip angle at the node;
constructing a section node position curve mathematical model;
determining a section node position curve according to the relation between the slope and the inclination angle, the relation between the slope and the curve and the monitoring data; wherein, the monitoring data includes: measuring the inclination angle of a point; the real measuring points are nodes for which inclination angle data can be obtained by installing an inclinometer in the divided sections of the space steel structure;
and determining the static displacement of the space steel structure according to the section node position curve.
2. The method of claim 1, wherein constructing a slope at a node and establishing a relationship of the slope to an inclination at the node comprises:
dividing the structure into a transverse section and a longitudinal section;
constructing a slope at a node;
and establishing a relation between the slope and the inclination angle.
3. The method of claim 2, wherein determining a slope at a node comprises:
establishing an initial section node two-dimensional curve in the section according to the node two-dimensional coordinates;
determining two intersection points of the node and the adjacent rod piece according to the initial section node two-dimensional curve; wherein the intersection point is: the intersection point of the first circle and the adjacent rod piece; the first circle is a circle which takes the node as the center of a circle and takes a first preset length as the radius. The first preset length is smaller than the length of the adjacent rod piece;
drawing tangent lines at the nodes of the circumscribed circle structure according to the nodes and the three points of the two intersection points;
and constructing the slope at the node according to the tangent of the circumcircle at the node.
4. The method of claim 2, wherein said establishing a slope versus tilt angle relationship comprises:
determining the rotation condition of a tangent line at a load change node;
and determining the relation between the slope and the inclination angle at the load change node according to the rotation condition of the tangent line at the node.
5. The method of claim 1, wherein constructing the section node position curve mathematical model comprises:
establishing a group of discrete orthogonal function groups;
and constructing a mathematical model of the section node position curve containing the coefficient to be solved according to the orthogonal function group, the boundary condition of the section and the position of the actual measuring point.
6. The method of claim 1, wherein determining a profile node position curve from the slope to dip, the slope to curve, and the dip at the measured point comprises:
fitting the slopes of all node structures of the cross section with X coordinates of all nodes;
determining a fitted slope value at each node;
determining the slope of the load acting node according to the relation between the slope and the slope of the actually measured point;
deriving a section node position curve equation to obtain a node slope equation;
and substituting the slope of the load acting node into a slope equation of the node to determine a position curve of the section node.
7. The method of claim 1, wherein the determining the spatial steel structure static displacement according to the section node position curve comprises:
determining the bidirectional displacement of the section node according to the section node position curve;
determining three-way displacement of the cross section intersection node according to the two-way displacement of the cross section node;
determining the three-way displacement of the displacement point to be estimated according to the three-way displacement of the displacement known point;
the known displacement points are intersection nodes of three-way displacement and boundary nodes of the space steel structure determined by the two-way displacement of the section nodes;
and the displacement to-be-estimated points are all nodes of which the displacements are unknown except the intersected nodes and the boundary nodes of the space steel structure.
8. The method of claim 7, wherein determining a three-way displacement of a fracture intersection node from a two-way displacement of a fracture node comprises:
determining the displacement of the node X, Z in the cross section of the structural division;
determining node X, Y direction displacement on the structural division vertical section;
determining X, Y, Z three-way displacement of the intersection node of the intersecting sections.
9. The method of claim 7, wherein determining a three-way displacement of the point to be estimated from the three-way displacement of the known point of displacement comprises:
and respectively determining a three-way displacement estimation formula according to an inverse distance weighted interpolation method, so that the displacement value of the displacement point to be estimated is equal to the weighted average of the displacement values of all displacement known points in the selected range of the displacement point to be estimated.
10. A structural displacement response estimation device based on tilt monitoring data, comprising:
a construction module for constructing a slope at a node;
the establishing module is used for establishing the relation between the slope and the inclination angle at the node;
the construction module is also used for constructing a section node position curve mathematical model;
the determining module is used for determining a section node position curve according to the relation between the slope and the inclination angle, the relation between the slope and the curve and the monitoring data; wherein, the monitoring data includes: measuring the inclination angle of a point; the real measuring points are nodes for which inclination angle data can be obtained by installing an inclinometer in the divided sections of the space steel structure;
and the determining module is also used for determining the static displacement of the space steel structure according to the section node position curve.
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