CN115982815A - Initial state extraction and analysis method for reeving type ridge rod ring stay cable dome assembly node - Google Patents
Initial state extraction and analysis method for reeving type ridge rod ring stay cable dome assembly node Download PDFInfo
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Abstract
The application discloses an initial state extraction and analysis method for a reeving type ridge rod, ring stay cable and dome assembly node, which comprises the steps of firstly segmenting a component measuring module and a connection measuring module from an assembly node model, extracting the centroid and the radial length of the component measuring module, and simultaneously calculating a component design module; then extracting the centroid deviation [ delta C ] through a centroid algorithm; extracting the deviation [ delta L ] of the radial length of all the two-dimensional sections by a radial length algorithm; then, counting general rules of [ delta C ] and [ delta L ], and judging whether parameter analysis is carried out according to the fitting of the general rules to fit the function expression or not; and finally, combining the [ delta C ] and [ delta L ] function expressions according to the assembly angle of the component module to finish the extraction and analysis of the initial state. The method makes up the deficiency of efficiency and precision of the traditional method, perfects the initial necessary data and technology of the stability analysis of the reeving type ridge rod ring stay cable dome in the whole process of assembling components, assembling nodes and the whole structure, and assists in the digital development of buildings.
Description
Technical Field
The invention belongs to the field of civil engineering, and relates to a method for extracting and analyzing an initial state of a rigging type ridge rod, ring bracing cable and dome assembly node.
Background
The reeving type ridge rod ring stay cable dome is mainly formed by connecting assembling nodes with assembling components of different sizes and types in an assembling mode, wherein the assembling nodes are used as important connecting devices and are generally formed by prefabricating and welding component modules and connecting modules in a factory, the safety and the reliability of the assembling nodes are related to the safety and the stability of the whole structure, and the initial state of the assembling nodes is a key index for quantifying the reliability of the nodes, so that the extraction and analysis method of the initial state of the assembling nodes is a key scientific problem. At the present stage, because the node structure is relatively complex, the initial state research is relatively less, and meanwhile, the traditional method (such as a scale, a micrometer and the like) is poor in precision and low in efficiency, and especially the node is assembled in a complex structure, and the measurement work is difficult to implement. Therefore, a fast, efficient, practical and accurate method is needed to extract and quantify the initial state of the rigging-type ridge rod and ring strut cable dome assembly node, so as to perfect the initial necessary data and technology for analyzing the stability of the rigging-type ridge rod and ring strut cable dome in the whole process of assembly component-assembly node-integral structure, and assist in the digital development of buildings.
Disclosure of Invention
The invention aims to overcome the defects and provides a method for extracting and analyzing the initial state of a reeving type ridge rod ring stay cable dome assembly node, which solves the problems that the node structure is complex and the measurement is difficult to be accurate in the traditional method.
In order to achieve the purpose, the invention adopts the technical scheme that: a method for extracting and analyzing an initial state of a rigging joint of a reeving type ridge rod, a ring brace and a cable dome is characterized by comprising the following steps:
s1: dividing a component measuring module and a connection measuring module from the assembly node model, extracting the centroid and the radial length of the component measuring module, and calculating a component design module;
s2: comparing and calculating the centroid deviation [ delta C ] of the component measuring module and the component designing module through a centroid algorithm; calculating the deviation [ delta L ] of all two-dimensional section radial lengths of the component measuring module and the component designing module by a radial length algorithm;
s3: counting the general rules of [ Delta C ] and [ Delta L ], judging whether a parameter kappa is analyzed according to fitting to judge whether to fit a function expression directly according to the general rules, if kappa is less than or equal to 10%, selecting a proper function form according to the statistical rules to fit, and executing the next step; if kappa is more than 10%, obtaining an initial state function expression of the assembly node after carrying out signalization processing on general rules of [ delta C ] and [ delta L ];
s4: and combining the [ Delta C ] and [ Delta L ] function expressions according to the assembly angles of the component modules to complete the extraction and analysis of the initial state of the assembly node.
Further, in step S1, the centroid and the radial length of the component measuring module are calculated by dividing the cross section constituting the component measuring module according to the configuration and the geometric characteristics thereof.
Further, in step S1, the geometric form of the constituent section is determined from the divided component measurement module.
Further, in step S2, the centroid algorithm calculates a plane coordinate difference between the centroid coordinates of the component measuring module and the centroid coordinates of the design module by comparison.
Further, in step S2, the calculated [ Δ C ] coordinates include data obtained from the space xoz plane and the yoz plane.
Further, in step S2, the radial length algorithm is to obtain the radial length values of all the two-dimensional cross-sectional points formed by the component measuring module and the design module.
Further, in step S3, the fitting determination parameter κ:
wherein, maxy i Is [ Delta C ]]、[ΔL]Maximum value of y coordinate of (g), miny i Is [ Delta C ]]、[ΔL]Minimum value of y coordinate.
Further, in step S4, the component module assembly angle is a relative angle between the assembly node component measurement modules, and the angle of the first component module with respect to the horizontal line is obtained using the first component module as an initial component, and thus the angles of the other component modules are obtained.
Further, in step S3, [ Δ C ] data on the xoz plane and the yoz plane appear as sine waves.
Further, the component module assembly angle range is [0,2 pi ].
The invention has the beneficial effects that:
the method is simple to realize, a component measuring module and a connection measuring module are segmented by aiming at the construction of an assembly node model in advance, a centroid algorithm and a radial length algorithm are introduced, double breakthroughs of calculation efficiency and precision are realized, compared with a traditional manual mode, the efficiency is improved by about 7.5 times, and the extraction precision of an initial state reaches 100%. Meanwhile, on the aspect of an analysis method, in order to realize high-precision analysis, a rule analysis and judgment step is introduced, the influence of data fluctuation on a result is greatly improved, and the initial state extraction and the result expression of an assembly node are optimized by combining according to the assembly angles of component modules. The method can rapidly, reliably and accurately extract and express the initial state of the reeving type ridge rod ring stay cable dome assembly node with a complex structure.
Drawings
FIG. 1 is a flow chart of a reeving ridge rod ring bracing cable dome assembly node initial state extraction and analysis method of the present invention;
FIG. 2 is a schematic view of a reeved ridge rod eye stay cable dome assembly node model of an embodiment of the present invention;
FIG. 3 is a schematic diagram of an assembly node model segmentation according to an embodiment of the present invention;
FIG. 4 is a schematic view of a segmented component measurement module according to an embodiment of the present invention;
FIG. 5 is a schematic view of a component design module according to an embodiment of the present invention;
FIG. 6 is a diagram illustrating component measurement module centroid deviation data in accordance with an embodiment of the present invention;
FIG. 7 is a schematic cross-sectional view of a measurement module of all of the constituent components of an embodiment of the present invention;
FIG. 8 is a radial length deviation data of a component measurement module according to an embodiment of the present invention;
FIG. 9 is a schematic diagram of [ Δ C ] and [ Δ L ] signaling processing according to an embodiment of the present invention.
Detailed Description
As some terms are used throughout the description and claims to refer to particular components. As one skilled in the art will appreciate, manufacturers may refer to a component by different names. This specification and claims do not intend to distinguish between components that differ in name but not function. In the following description and in the claims, the terms "include" and "comprise" are used in an open-ended fashion, and thus should be interpreted to mean "include, but not limited to. "substantially" means within an acceptable error range, and a person skilled in the art can solve the technical problem within a certain error range to substantially achieve the technical effect. The following description is of the preferred embodiment for carrying out the present application, but is made for the purpose of illustrating the general principles of the application and is not to be taken in a limiting sense. The scope of the present application is to be considered as defined by the appended claims.
Referring to fig. 1, the present invention provides a method for extracting and analyzing an initial state of an assembling node of a reeving-type ridge rod, a ring strut and a cable dome, comprising:
s1: dividing a component measuring module and a connection measuring module from the assembly node model, extracting the centroid and the radial length of the component measuring module, and calculating a component design module;
s2: calculating the centroid deviation [ delta C ] of the component measuring module and the design module through centroid algorithm comparison; calculating the deviation [ delta L ] of the radial length of all two-dimensional sections of the component measuring module and the design module through a radial length algorithm;
s3: the step is a rule analysis and judgment step, counting general rules of [ delta C ] and [ delta L ], analyzing whether a function expression is directly fitted according to the general rules or not according to a fitting judgment parameter kappa, if kappa is less than or equal to 10%, selecting a proper function form according to the statistical rule for fitting, and executing the next step; if kappa is more than 10%, obtaining an initial state function expression of the assembly node after carrying out signalization processing on general rules of [ delta C ] and [ delta L ];
s4: and combining the [ delta C ] and [ delta L ] function expressions according to the assembly angle of the component module to finish the extraction and analysis of the initial state of the assembly node.
In a preferred embodiment provided by the present invention, step S1 specifically includes dividing a component measurement module and a connection measurement module with a reeved ridge rod and eye supporting cable dome assembly node model as an object, extracting a centroid and a radial length of the component measurement module, and calculating a component design module at the same time.
Preferably, as shown in fig. 2, the reeved ridge rod and ring vaulted dome assembly node model in the preferred embodiment provided by the present invention is a model that completely reflects the actual state of an assembly node in actual measurement, and may also be referred to as an assembly node measurement model, and the model has a relatively complex structure, and includes a component measurement module and connection measurement modules (b 1 to b 4), and the technology for obtaining the model mainly uses a non-contact measurement method, such as single (double) blue light scanning, multi-angle camera, multi-angle unmanned aerial vehicle fused image conversion, and the like.
It should be noted that the assembly node mainly functions to connect different component measurement modules according to the embodiments of the present invention, but the present invention is not limited to this type of assembly component or node, and those skilled in the art will understand that unless specifically stated otherwise.
Further, the centroid and the radial length of the component measuring module are calculated by dividing the cross section of the component measuring module according to the configuration and the geometrical characteristics thereof.
And (3) segmenting the assembly node model, as shown in fig. 3, segmenting a component measurement module and a connection measurement module:
wherein { B } represents a component measurement module of the assembly node model, { B { t Represents a single component measurement module. Preferably, as shown in fig. 4, n =4 in the embodiment of the present invention, that is, n =4
Determining the geometric form of the cross section according to the divided component measuring module, setting i points on the cross section as (x) i ,y i ) Expressed, substituting into the following equation:
[P]·[ν]＝[Q] (2)
calculating a characteristic coefficient matrix:
[ν]＝(P T P) -1 ·P T Q (3)
calculating centroid (x) c ,y c ) And radial length L:
wherein [ P ]]＝[x i ,y i ,1] i×3 ；[ν]Represents a characteristic coefficient matrix, [ v]＝[ν 1 ν 2 ν 3 ] T ；ν 1 、ν 2 、ν 3 Respectively representing the numerical values of the 1 st column, the 2 nd column and the 3 rd column of the characteristic coefficient matrix;
x i 、y i respectively representX and y coordinate values of the cross-sectional points.
Further, the component design module, as shown in fig. 5, is calculated from the component measurement module data relative to the component measurement module, and the centroid and radial length of the design module are defect-free and perfect, and the function is to calculate the characteristic deviation in comparison with the measurement module. The component design module is calculated from the following equation:
wherein (x) si ,y si ) Points of design of the modules for the building blocks, L i Denotes the radial length, [ theta ] xi ]、[θ yi ]The matrix is the direction angle matrix of the x axis and the y axis respectively.
Further, in a preferred embodiment provided by the present invention, step S2 is continuously implemented, specifically: comparing and calculating the centroid deviation [ delta C ] of the component measurement module and the design module through a centroid algorithm; and calculating the deviation [ delta L ] of the radial length of all two-dimensional sections of the component measuring module and the design module by a radial length algorithm.
Preferably, in order to obtain the axial initial state of the component measuring module, it is necessary to extract the value of the centroid deviation of the component measuring module from the design module, denoted by [ Δ C ], which is done using a centroid algorithm.
Further, the function of the centroid algorithm is to measure the centroid coordinates of the module and the design module through the acquired component, i.e., (x) cmn ,y cmn ,z n ) And (x) cdn ,y cdn ,z n ) N =1,2.. The difference in plane coordinates of the two are calculated by comparison, as shown in the following equation:
wherein, is xn 、ΔC yn Respectively representing the difference between the centroid coordinates x and y of the component measuring module and the centroid coordinates y of the component designing module, (x) cmn ,y cmn ,z n )、(x cdn ,y cdn ,z n ) n =1,2,. Represents the centroid coordinates of the component measurement module and the design module, respectively.
Preferably, the calculated [ Δ C [ ]]The coordinate is (Δ C) xn ,ΔC yn ,z n ) The space curve formed by the method is usually irregular, the data of the space xoz plane and the yoz plane needs to be obtained, the equation is shown as (8), and the calculation results are shown as (a) and (b) in fig. 6, [ Δ C ]]The data on the xoz and yoz surfaces of the space show a certain rule, are generally sine waves, have amplitude fluctuation between 0.2mm and 0.6mm, and realize submillimeter-level data extraction.
Wherein, is xn 、ΔC yn 、z n Respectively represents [ Delta C]XOZ represents the spatial XOZ plane, YOZ represents the spatial YOZ plane.
Further, in order to obtain the tangential initial state of the component measuring module, it is necessary to extract the radial length deviation values of the component measuring module from all n two-dimensional cross sections of the design module, which are denoted by [ Δ L ], and this is done using a radial length algorithm.
Preferably, the function of the radial length algorithm is to measure the radial length value constituting all two-dimensional cross-sectional points (as shown in fig. 7) through the acquired component measurement module and the design module, namely, (x) lmi ,y lmi ,z n ) And (x) ldi ,y ldi ,z n ) N =1,2, the plane coordinate difference between the two is calculated by comparison, as shown in formula (9), the calculation result is shown in fig. 8, the radial length difference of all the components can be rapidly obtained by a radial length algorithm and counted, the result shown in fig. 8 intuitively shows that the maximum value of the radial length difference fluctuates between 0.4mm and 2mm without a general rule, the traditional method generally adopts a mode of taking an average value and a median to perform processing analysis, and in order to analyze the data with higher precision, the invention introduces a signaling processing mode, which will be specifically described in step S3.
Wherein [ Delta L ] is calculated]For coordinates of (Δ L) xn ,ΔL yn ,z n ) Is represented by (x) lmi ,y lmi )、(x ldi ,y ldi ) X and y coordinate values of all points of the two-dimensional cross section constituting the member measuring module and the design module are respectively expressed.
Further, in a preferred embodiment provided by the present invention, step S3 is continuously implemented, specifically: the step is a rule analysis and judgment step, counting general rules of [ delta C ] and [ delta L ], analyzing whether a function expression is directly fitted according to the general rules or not according to a fitting judgment parameter kappa, if kappa is less than or equal to 10%, selecting a proper function form according to the statistical rule for fitting, and executing the next step; if k is more than 10%, the general rule signalization processing of [ delta C ] and [ delta L ] is needed to obtain the initial state function expression of the assembly node.
Preferably, since the statistical data law differs by more than 10%, the direct fitting function expression is very susceptible to the influence of abnormal data, and the accuracy of the fitting result is affected, so that the fitting judgment parameter κ is introduced to judge whether to directly fit the function expression according to the general laws of [ Δ C ], [ Δ L ], and the calculation method is as follows:
wherein, maxy i Is [ Delta C ]]、[ΔL]Maximum value of y coordinate of (c), miny i Is [ Delta C ]]、[ΔL]If kappa is less than or equal to 10%, directly selecting a proper function form to perform function fitting according to a general rule; if κ > 10%, then the pair [ Δ C ] is required]、[ΔL]And obtaining an initial state function expression of the assembly node after the general rule is subjected to signalization processing. Here, [ Delta C ] is defined]、[ΔL]The fitted functions are G (z), H (z), respectively.
Further, as shown in FIGS. 6 (a), (b), where κ (Δ C) a )＝41.2％、κ(ΔC b ) As shown in fig. 8, k (Δ L) =65.3%, and the requirement of k ≦ 10% is not satisfied, and therefore, [ Δ C ≦ 41.5%]、[ΔL]The general rule of (2) is to perform the signaling process. The results of the signal processing are shown in FIGS. 9 (a) and (b), and [ Δ C ] is obtained by a general rule fitting]、[ΔL]The curves are all shown by dotted lines, and simultaneously [ Delta C ] can be quickly obtained by fitting the curves by the method provided by the invention]、[ΔL]The functions of (b) represent the initial states of the assembly node measurement modules with high accuracy.
Further, in a preferred embodiment provided by the present invention, step S4 is continuously implemented, specifically: and combining the [ delta C ] and [ delta L ] function expressions according to the assembly angle of the component module to finish the extraction and analysis of the initial state of the assembly node.
Preferably, the component module assembly angle is a relative angle between the assembly node component measurement modules, the first component module is used as an initial component, the angle between the first component module and the horizontal line is obtained, and the angles of the other component modules are obtained accordingly, the angle ranges are [0,2 pi ], [ Δ C ], [ Δ L ] function expressions are combined according to the component module assembly angle, and the equation is as follows:
wherein F is an initial state expression of the assembled node after combination, and G (z) and H (z) respectively represent [ Delta C]、[ΔL]The function of the fit is then determined,
the assembly angle of the component module is in the range of [0,2 pi]。
It should be noted that, in the embodiment S3 of the present invention, a calculation process of the initial state function expression of one measurement component module is provided, and the initial state function expressions of other measurement component modules need to be continuously calculated according to the same method, and the calculation methods are all consistent, but the calculation methods are not intentionally omitted or ignored in the embodiment of the present invention, and those skilled in the art can understand that.
Therefore, the initial state of the rigging-type ridge rod and ring bracing cable dome assembly node is extracted and analyzed, the initial state is represented through a function F, and initial data of stability analysis of the rigging-type ridge rod and ring bracing cable dome in the whole process of assembly component-assembly node-integral structure is improved.
The invention has the beneficial effects that:
the method is simple to realize, a component measuring module and a connection measuring module are segmented by aiming at the construction of an assembly node model in advance, a centroid algorithm and a radial length algorithm are introduced, double breakthroughs of calculation efficiency and precision are realized, compared with a traditional manual mode, the efficiency is improved by about 7.5 times, and the extraction precision of an initial state reaches 100%. Meanwhile, on the analysis method, in order to realize high-precision analysis, a rule analysis and judgment step is introduced, the influence of data fluctuation on the result is greatly improved, and the initial state extraction and the result expression of the assembly node are optimized by combining according to the assembly angles of the component modules. The method can rapidly, reliably and accurately extract and express the initial state of the reeving type ridge rod ring stay cable dome assembly node with a complex structure.
The foregoing description shows and describes several preferred embodiments of the present application, but as aforementioned, it is to be understood that the application is not limited to the forms disclosed herein, but is not to be construed as excluding other embodiments and is capable of use in various other combinations, modifications, and environments and is capable of changes within the scope of the application as described herein, commensurate with the above teachings, or the skill or knowledge of the relevant art. And that modifications and variations may be effected by those skilled in the art without departing from the spirit and scope of the application, which is to be protected by the claims appended hereto.
Claims (10)
1. A method for extracting and analyzing an initial state of a rigging joint of a rope penetrating type ridge rod, ring bracing and rope stretching dome is characterized by comprising the following steps:
s1: dividing a component measuring module and a connection measuring module from the assembly node model, extracting the centroid and the radial length of the component measuring module, and calculating a component design module;
s2: comparing and calculating the centroid deviation [ delta C ] of the component measuring module and the component designing module through a centroid algorithm; calculating the deviation [ delta L ] of the radial length of all two-dimensional sections of the component measuring module and the component designing module by a radial length algorithm;
s3: counting the general rules of [ Delta C ] and [ Delta L ], judging whether the function expression is directly fitted according to the general rule or not according to fitting judgment parameter kappa analysis, if kappa is less than or equal to 10%, selecting a proper function form according to the statistical rule for fitting, and executing the next step; if kappa is more than 10%, obtaining an initial state function expression of the assembly node after carrying out signalization processing on general rules of [ delta C ] and [ delta L ];
s4: and combining the [ Delta C ] and [ Delta L ] function expressions according to the assembly angles of the component modules to complete the extraction and analysis of the initial state of the assembly node.
2. The extraction and analysis method for initial state of assembling node of reeving type spinal rod and ring supporting cable dome as claimed in claim 1, wherein in step S1, the centroid and radial length of the member measuring module are calculated by dividing the cross section of the member measuring module according to its structure and geometrical characteristics.
3. The extraction and analysis method for initial state of rigging node of reeving type spinal chord ring bracing cable dome according to claim 1, wherein in step S1, geometric form of construction section is determined according to the divided member measuring module.
4. The extraction and analysis method for initial state of assembling node of reeving type ridge rod, ring stay cable dome according to claim 1, wherein in step S2, the centroid algorithm is to calculate the plane coordinate difference value of the obtained centroid coordinates of the component measuring module and the design module through comparison.
5. The extraction and analysis method for initial state of rigging node of reeving spinal rod-eye stay cable dome according to claim 1, wherein the [ Δ C ] coordinate calculated in step S2 comprises data of space xoz plane and yoz plane.
6. The method for extracting and analyzing the initial state of the rigging node of the reeving type ridge rod, annular bracing cable dome according to claim 1, wherein in the step S2, the radial length algorithm is based on the obtained radial length values of all the two-dimensional section points formed by the component measuring module and the design module.
7. The method for extracting and analyzing initial state of rigging node of reeving type ridge rod, ring bracing cable dome according to claim 1, wherein in step S3, fitting judgment parameter κ:
wherein, maxy i Is [ Delta C ]]、[ΔL]Maximum value of y coordinate of (g), miny i Is [ Delta C ]]、[ΔL]Minimum value of y coordinate.
8. The method for extracting and analyzing initial state of rigging node of strongback ring-braced cable dome according to claim 1, wherein in step S4, the assembly angle of component module is the relative angle between the assembly node component measuring modules, and the angle of the first component module is used as the initial component to obtain the angle with the horizontal line, and thus the angle of other component modules is obtained.
9. The extraction and analysis method for initial state of rigging joint of reeved ridge rod eye vaulting cable dome according to claim 1, characterized in that in step S3, [ Δ C ] represents sine wave in the space xoz plane and yoz plane.
10. The reeving spine and ring bracing cable dome assembly node initial state extraction and analysis method of claim 8, wherein the component module assembly angle range is [0,2 pi ].
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