Method, system, device and storage medium for recognizing bending patterns of segment annular joints

Abstract

The present invention provides a method, system, device and storage medium for identifying bending modes of circumferential joints of pipe segments. The method obtains parameter information at the cross section of the circumferential joint and divides the bending modes of the circumferential joint according to a preset classification standard to obtain a plurality of circumferential joint bending modes. Then, according to the parameter information at the cross section, the stress and deformation state of the circumferential joints of each circumferential joint bending mode is analyzed to obtain corresponding bending moment rotation angle expressions respectively. After obtaining the critical bending moment expressions corresponding to different stress states according to each bending moment rotation angle expression and different axial force types, an internal force distribution area diagram of the circumferential joint is generated according to the critical bending moment expression. After obtaining the measured bending moment value and the measured axial force value of the circumferential joint in the actual project, a technical solution is provided to obtain the actual circumferential joint bending mode according to the measured bending moment value, the measured axial force value and the circumferential joint internal force distribution area diagram. The nonlinear characteristics at the circumferential joint are fully considered, and a high-reliability calculation formula for each critical bending moment is obtained simply and efficiently. The deformation mode of the joint is determined according to the position of the bending moment and axial force values ​​obtained in the project in the internal force area distribution diagram, thereby efficiently guiding the project.

Description

Technical Field

[0001] The present invention relates to the technical field of construction monitoring of assembled stations, and in particular to a method, system, computer equipment and storage medium for recognizing bending patterns of annular joints of pipe segments of assembled stations. Background Art

[0002] Prefabricated station structure is an emerging structure in my country's urban rail transit projects, and is also one of the important directions for my country to vigorously develop new green construction methods. Prefabricated station structure assembles the prefabricated components in the factory into a whole ring structure through circumferential joints according to the load-bearing and use requirements of different parts, and then assembles each whole ring structure into an overall station structure through longitudinal joints. This method has the characteristics of high construction efficiency, energy saving, and pollution reduction, which greatly improves the problems commonly encountered in the construction of subway stations.

[0003] In order to ensure that the strength grade of the joints of prefabricated components is not lower than the concrete strength grade of the prefabricated components, the joints are generally connected by mortise and tenon and bolts. However, compared with traditional cast-in-place stations, the rigidity of the circumferential joints of prefabricated stations is discontinuous, which reduces the integrity of the station when it is subjected to external loads, causing a certain degree of decrease in the overall resistance of the structure. The concrete at the joints is prone to cracking, and the bolts between the joints will also fail. That is, the stability of the circumferential joints in actual projects will directly affect the safety performance of the prefabricated station structure. Accurate monitoring and analysis of the stress state and bending mode at the circumferential joints has important practical significance and engineering application value.

[0004] However, due to the nonlinear characteristics of the circumferential joints of prefabricated structures, the existing theoretical calculation models for circumferential joints are not perfect, and there is no circumferential joint bending mode recognition method that can simply and effectively monitor and identify the deformation of circumferential joints and can truly and effectively guide engineering construction. Summary of the invention

[0005] The purpose of the present invention is to provide a method for identifying the bending mode of the annular joint of a pipe segment. The method determines the deformation position area and identifies the bending mode of the joint by using the actual bending moment value and the actual axial force value of the joint position measured in actual engineering, combined with the internal force distribution area diagram generated by the force-deformation theoretical analysis based on each bending mode of the annular joint. While solving the problem of imperfect theoretical model of annular joint calculation in the prior art, a high-reliability calculation formula for each critical bending moment is simply and efficiently given, so as to determine the deformation mode of the joint in real time and accurately, thereby effectively guiding the engineering construction and providing reliable guarantee for the safety performance of the prefabricated station structure.

[0006] In order to achieve the above objectives, it is necessary to provide a method, system, computer equipment and storage medium for recognizing the bending pattern of the annular joint of a pipe segment in response to the above technical problems.

[0007] In a first aspect, an embodiment of the present invention provides a method for identifying a bending pattern of a segment annular joint, the method comprising the following steps:

[0008] Obtaining parameter information at a cross section of the circumferential joint, and dividing the bending modes of the circumferential joint according to a preset classification standard to obtain a plurality of bending modes of the circumferential joint; the parameter information at the cross section includes a cross section size parameter and a cross section material parameter;

[0009] According to the parameter information at the cross section, the stress-deformation state of the circumferential joint of each circumferential joint bending mode is analyzed to obtain the corresponding bending moment rotation angle expressions respectively;

[0010] According to the expressions of various bending moment rotation angles and different axial force types, the critical bending moment expressions corresponding to different stress states are obtained;

[0011] According to the critical bending moment expression under each stress state, the internal force distribution area diagram of the circumferential joint is obtained;

[0012] The measured bending moment value and the measured axial force value of the circumferential joint in the actual project are obtained, and the corresponding actual circumferential joint bending mode is obtained according to the measured bending moment value, the measured axial force value and the circumferential joint internal force distribution area diagram.

[0013] Furthermore, the step of obtaining parameter information at the cross section of the annular joint includes:

[0014] The cross-sectional dimension parameters are obtained by actual measurement or according to the design drawing of the prefabricated station; the cross-sectional dimension parameters include the joint cross-sectional width, the joint cross-sectional height, the joint length, the height of the bolt from the edge of the concrete in the compression zone, and the effective area of ​​the bolt;

[0015] The cross-sectional material parameters are obtained according to the material physical property standard; the cross-sectional material parameters include the elastic modulus of concrete, the elastic modulus of bolts, the bolt yield strength and the compressive yield strength of concrete.

[0016] Furthermore, the step of dividing the annular joint bending modes according to a preset classification standard to obtain a plurality of annular joint bending modes includes:

[0017] According to the contact state at the seam of the circumferential joint and the stress stage of the connecting material of the circumferential joint, the bending mode of the circumferential joint is divided to obtain the bending mode of the circumferential joint; the bending mode of the circumferential joint includes a first bending mode, a second bending mode, a third bending mode, a fourth bending mode and a fifth bending mode;

[0018] The first bending mode is a state where the seams of the circumferential joint are not fully in contact;

[0019] The second bending mode is a state in which the circumferential joint is opened and the bolts are not under tension;

[0020] The third bending mode is a state where the bolt is subjected to elastic tension;

[0021] The fourth bending mode is a state in which the bolt is subjected to plastic tension and the concrete compression zone is subjected to elastic stress;

[0022] The fifth bending mode is that the compression zone of the concrete enters a plastic state.

[0023] Furthermore, the step of analyzing the stress-deformation state of the annular joints of the bending modes of each annular joint according to the parameter information at the cross section to obtain the corresponding bending moment rotation angle expressions includes:

[0024] According to the parameter information at the cross section, the stress-deformation state of the circumferential joint of each circumferential joint bending mode is analyzed to determine the force balance condition and deformation coordination condition of each circumferential joint bending mode;

[0025] According to the force balance condition and deformation coordination condition of each circumferential joint bending mode, the corresponding bending moment rotation expression is obtained.

[0026] Further, the bending moment angle expression includes a first bending moment angle expression, a second bending moment angle expression, a third bending moment angle expression, a fourth bending moment angle expression and a fifth bending moment angle expression;

[0027] The step of obtaining the critical bending moment expressions corresponding to different stress states according to the various bending moment angle expressions and different axial force types comprises:

[0028] According to the bending moment angle expression of each circumferential joint bending mode and the corresponding critical state, the corresponding critical joint angle is obtained; the critical joint angle includes the critical separation angle of the joint, the critical stress angle of the bolt, the critical yield angle of the bolt and the critical plastic angle at the upper edge of the concrete compression zone;

[0029] According to the critical joint rotation angle and the bending moment rotation angle expression, the critical bending moment expression between the adjacent circumferential joint bending modes under each stress state is determined.

[0030] Furthermore, the axial force types include pressure, 0 and tension, and the corresponding stress states include compression bending stress state, pure bending stress state and tension bending stress state;

[0031] The step of determining the critical bending moment expression between the bending modes of adjacent circumferential joints under each stress state according to the critical joint rotation angle and the bending moment rotation angle expression comprises:

[0032] When the axial force type is pressure, the first critical bending moment expression is determined according to the first bending moment angle expression, the second bending moment angle expression and the critical separation angle of the joint, and the second critical bending moment expression is determined according to the second bending moment angle expression, the third bending moment angle expression and the critical force angle of the bolt; the first critical bending moment expression is:

[0033]

[0034] Among them, M Y1 It represents the first critical positive bending moment acting on the circumferential joint; N represents the axial force acting on the circumferential joint, N>0; H represents the joint section height;

[0035] The second critical bending moment expression is:

[0036]

[0037] Among them, M Y2 represents the second critical positive bending moment acting on the circumferential joint; h b Indicates the height of the bolt from the edge of the compression zone;

[0038] When the axial force type is 0, the third critical bending moment expression is determined according to the third bending moment angle expression, the fourth bending moment angle expression and the critical yield angle of the bolt; the third critical bending moment expression is:

[0039]

[0040] Among them, M C represents the third critical positive bending moment acting on the circumferential joint; h b Indicates the height of the bolt from the edge of the compression zone; E b Indicates the elastic modulus of the bolt; E c represents the elastic modulus of concrete; T b Indicates the tensile force on the bolt when it yields; f b represents the stress when the bolt yields; b represents the width of the joint section;

[0041] When the axial force type is tension, the fourth critical bending moment expression is determined according to the fourth bending moment rotation angle expression, the fifth bending moment rotation angle expression and the critical plastic rotation angle at the upper edge of the concrete compression zone; the fourth critical bending moment expression is:

[0042]

[0043] Among them, M L represents the fourth critical positive bending moment acting on the circumferential joint; σ b Represents the stress when concrete enters plastic state.

[0044] Further, the step of obtaining the corresponding actual annular joint bending mode according to the measured bending moment value, the measured axial force value and the annular joint internal force distribution area diagram includes:

[0045] According to the measured bending moment value and the measured axial force value, the corresponding circumferential joint internal force coordinate value is obtained;

[0046] Determining an actual deformation position area corresponding to the internal force distribution area diagram of the annular joint according to the internal force coordinate value of the annular joint;

[0047] According to the actual deformation position area, the corresponding actual annular joint bending mode is obtained.

[0048] In a second aspect, an embodiment of the present invention provides a segment annular joint bending pattern recognition system, the system comprising:

[0049] A mode division module is used to obtain parameter information at the cross section of the circumferential joint, and divide the bending mode of the circumferential joint according to a preset classification standard to obtain a plurality of bending modes of the circumferential joint; the parameter information at the cross section includes a cross section size parameter and a cross section material parameter;

[0050] A deformation analysis module is used to analyze the stress deformation state of the annular joints of each annular joint bending mode according to the parameter information at the cross section, and obtain the corresponding bending moment rotation angle expressions respectively;

[0051] Critical analysis module, used to obtain the critical bending moment expression under different stress states according to various bending moment angle expressions and different axial force types;

[0052] Internal force diagram generation module, used to obtain the internal force distribution area diagram of the circumferential joint according to the critical bending moment expression under each stress state;

[0053] The pattern recognition module is used to obtain the measured bending moment value and the measured axial force value of the circumferential joint in the actual project, and obtain the corresponding actual circumferential joint bending mode according to the measured bending moment value, the measured axial force value and the circumferential joint internal force distribution area diagram.

[0054] In a third aspect, an embodiment of the present invention further provides a computer device, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor implements the steps of the above method when executing the computer program.

[0055] In a fourth aspect, an embodiment of the present invention further provides a computer-readable storage medium having a computer program stored thereon, wherein the computer program implements the steps of the above method when executed by a processor.

[0056] The above-mentioned application provides a method, system, computer equipment and storage medium for identifying the bending mode of the circumferential joint of a pipe segment. Through the method, it is possible to obtain parameter information at the cross section of the circumferential joint, and divide the bending mode of the circumferential joint into several circumferential joint bending modes according to a preset classification standard. Then, according to the parameter information at the cross section, the stress and deformation state of the circumferential joint of each circumferential joint bending mode is analyzed, and the corresponding bending moment angle expressions are obtained respectively. According to each bending moment angle expression and different axial force types, the critical bending moment expressions corresponding to different stress states are obtained, and then the circumferential joint internal force distribution area diagram is generated according to the critical bending moment expression. After obtaining the measured bending moment value and the measured axial force value of the circumferential joint in the actual project, a technical solution for obtaining the actual circumferential joint bending mode is obtained according to the measured bending moment value, the measured axial force value and the circumferential joint internal force distribution area diagram. Compared with the existing technology, the bending mode recognition method of the circumferential joint of the pipe segment can fully consider the nonlinear characteristics of the circumferential joint, establish a force-deformation analysis model based on force balance conditions and deformation coordination conditions, and solve the problem of imperfect theoretical calculation model of the circumferential joint in the existing technology. At the same time, it simply and efficiently gives a high-reliability calculation formula for each critical bending moment, and accurately determines the deformation mode of the circumferential joint in real time, thereby effectively guiding the engineering construction and providing reliable guarantee for the safety performance of the prefabricated station structure. BRIEF DESCRIPTION OF THE DRAWINGS

[0057] Figure 1 Schematic diagram of an application scenario of a method for recognizing bending patterns of circumferential joints of pipe segments according to an embodiment of the present invention;

[0058] Figure 2 1 is a schematic flow chart of a method for identifying bending patterns of circumferential joints of pipe segments according to an embodiment of the present invention;

[0059] Figure 3 Schematic diagram of the structure and dimensions of the segment annular joint in an embodiment of the present invention;

[0060] Figure 4 a and b represent Figure 3 The schematic diagram of the force and deformation distribution of the segment annular joint in the first bending mode is shown;

[0061] Figure 5 a and b represent Figure 3 The schematic diagram of the force and deformation distribution of the segment annular joint in the second bending mode is shown;

[0062] Figure 6 a and b represent Figure 3 The schematic diagram of the force and deformation distribution of the segment annular joint in the third bending mode is shown;

[0063] Figure 7 a and b represent Figure 3The schematic diagram of the force and deformation distribution of the segment annular joint in the fourth bending mode is shown;

[0064] Figure 8 a and b represent Figure 3 The schematic diagram of the force and deformation distribution of the segment annular joint in the fifth bending mode is shown;

[0065] Fig. 9 a and b represent Figure 3 A schematic diagram of the joint internal force distribution area corresponding to the segment annular joint is shown;

[0066] Fig.10 2 is a schematic diagram of the structure of a segment annular joint bending pattern recognition system according to an embodiment of the present invention;

[0067] Fig.11 It is a diagram of the internal structure of a computer device in an embodiment of the present invention. DETAILED DESCRIPTION

[0068] In order to make the purpose, technical scheme and beneficial effects of the present application clearer, the present invention is further described in detail below in conjunction with the accompanying drawings and embodiments. Obviously, the embodiments described below are part of the embodiments of the present invention and are only used to illustrate the present invention, but are not used to limit the scope of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0069] The segment annular joint bending pattern recognition method provided by the present invention can be applied to the following Figure 1 On the terminal or server shown. Among them, the terminal can be but not limited to various personal computers, laptops, smart phones, tablet computers and portable wearable devices, and the server can be implemented by an independent server or a server cluster composed of multiple servers. The present invention takes into account that the tongue-and-groove type and other joint structural forms have little effect on the bending stiffness of the joint. In order to facilitate the establishment of the calculation theoretical model, the server or terminal can be based on the segment annular joint bending mode recognition method of the present invention. In advance, based on the collected parameter information at the cross section of the annular joint in the actual monitoring project, a representative flat section and bolt fixing method are used to derive the theoretical model to generate the corresponding internal force distribution area diagram, and then combined with the bending moment value and axial force value collected in real time by the strain gauge arranged at the annular joint position to perform simple, efficient and reliable bending mode recognition, which is used for other application needs of the server or terminal to effectively guide engineering construction; the following embodiments will explain the segment annular joint bending mode recognition method of the present invention in detail.

[0070] In one embodiment, Figure 2 As shown, a method for identifying bending patterns of segment annular joints is provided, comprising the following steps:

[0071] S11, obtaining parameter information of the cross section of the annular joint, and dividing the bending modes of the annular joint according to a preset classification standard to obtain a plurality of bending modes of the annular joint; the parameter information at the cross section includes cross-sectional size parameters and cross-sectional material parameters, which are used for derivation of a theoretical model of the annular joint; wherein the annular joint is as follows Figure 3 As shown, the steps for obtaining the parameter information of the cross section of the annular joint include:

[0072] The cross-sectional dimension parameters are obtained by actual measurement or according to the design drawing of the prefabricated station; the cross-sectional dimension parameters include the joint cross-sectional width, the joint cross-sectional height, the joint length, the height of the bolt from the edge of the concrete in the compression zone, and the effective area of ​​the bolt;

[0073] According to the material physical property standard, the cross-sectional material parameters are obtained; the cross-sectional material parameters include the elastic modulus of concrete, the elastic modulus of bolts, the yield strength of bolts and the compressive yield strength of concrete;

[0074] It should be noted that the above cross-sectional size parameters and cross-sectional material parameters are given for the circumferential joint with a flat cross section and bolt fixing method. In practical applications, the parameter content can be adjusted according to the joint structure actually used in the project, and does not affect the application effect of the identification method of the present invention.

[0075] In principle, the preset classification standard can be determined according to the actual application analysis requirements. In order to improve the reliability of theoretical modeling analysis, this embodiment preferably divides the bending modes of the annular joint according to different contact states at the annular joint seam that may appear in actual applications and different stress stages of the annular joint connection materials, and obtains a representative bending mode classification standard; specifically, the step of dividing the annular joint bending mode according to the preset classification standard to obtain a plurality of annular joint bending modes includes:

[0076] According to the contact state at the joint of the circumferential joint and the stress stage of the connecting material of the circumferential joint, the bending modes of the circumferential joint are divided to obtain the bending modes of the circumferential joint; the bending modes of the circumferential joint include a first bending mode, a second bending mode, a third bending mode, a fourth bending mode and a fifth bending mode; the first bending mode is the full contact state of the joints of the circumferential joint that are not opened; the second bending mode is the state in which the circumferential joint is opened and the bolts are not subjected to tension; the third bending mode is the state in which the bolts are subjected to elastic tension; the fourth bending mode is the state in which the bolts are subjected to plastic tension and the concrete compression zone is subjected to elastic stress; the fifth bending mode is the state in which the concrete compression zone enters a plastic state.

[0077] After obtaining the classification of the bending modes of the annular joints of the prefabricated structure segments through the above steps, the force-deformation coordination analysis of various joint bending modes is carried out on this basis, and a theoretical calculation model is established according to the following method steps.

[0078] S12, according to the parameter information at the cross section, analyzing the stress and deformation state of the annular joints of each annular joint bending mode, and obtaining corresponding bending moment rotation angle expressions respectively;

[0079] Among them, the stress-deformation state analysis can be understood as analyzing the stress and deformation state of the cross section when the annular joint is subjected to the combined action of positive bending moment and axial force, as well as the pressure in the compression area and the deformation amount in the compression area, and establishing a model based on the force balance condition and deformation coordination condition for theoretical analysis. Specifically, the stress-deformation state analysis of the annular joint of each annular joint bending mode is performed according to the parameter information at the cross section, and the steps of obtaining the corresponding bending moment rotation angle expressions respectively include:

[0080] According to the parameter information at the cross section, the stress-deformation state of the circumferential joint of each circumferential joint bending mode is analyzed to determine the force balance condition and deformation coordination condition of each circumferential joint bending mode;

[0081] According to the force balance condition and deformation coordination condition of each circumferential joint bending mode, the corresponding bending moment rotation angle expression is obtained;

[0082] Specifically, the stress analysis and deformation coordination analysis of the above five circumferential joint bending modes are carried out to obtain the bending moment rotation angle expression corresponding to each bending mode as follows:

[0083] First bending mode analysis:

[0084] according to Figure 4 The stress and deformation state of the left section when the annular joint is subjected to positive bending moment M and axial force N in the first bending mode, and the pressure E in the compression area c ε 1 b and E c ε 2 b, and the deformation of the compressed area ε 1 B and ε 2 B. According to the force balance condition and deformation coordination condition, we can get:

[0085]

[0086]

[0087] Where N is the axial force acting on the annular joint, assuming that the pressure is positive; E c represents the elastic modulus of concrete; b represents the width of the joint section; ε 1It represents the strain at the upper edge of the circumferential joint when it is under compression and bending stress and the joint has not yet opened; ε 2 It represents the strain at the lower edge of the circumferential joint when it is under compression and bending stress and the joint has not yet opened; H represents the cross-sectional height of the circumferential joint; θ represents the rotation angle of the circumferential joint under the action of axial force and bending moment; B represents the length of the circumferential joint; M represents the positive bending moment acting on the circumferential joint;

[0088] Combining (1) and (2) we can get the moment rotation angle expression shown in formula (3):

[0089]

[0090] It can be seen from formula (3) that in the first bending mode, the bending moment and the rotation angle of the circumferential joint are in a linear relationship.

[0091] Second bending mode analysis:

[0092] according to Figure 5 The stress and deformation state of the annular joint under the action of positive bending moment M and axial force N in the second bending mode shown in the figure. At this time, the annular joint is slightly opened, and the lower edge of the joint is not stressed due to cracking. The tension zone has not extended to the bolts, and the bolts are not stressed. The height of the compression zone is h. According to the force balance condition and deformation coordination condition, it can be obtained:

[0093]

[0094]

[0095] Where ε represents the strain at the upper edge when the annular joint is opened; h represents the height of the compression zone when the annular joint is opened;

[0096] Combining (4) and (5) we can get the moment rotation angle expression shown in (6):

[0097]

[0098] It can be seen from formula (6) that in the second bending mode, the relationship between the bending moment and the rotation angle of the circumferential joint is nonlinear, and the relationship between the bending moment and the rotation angle is affected by the axial force.

[0099] Third bending mode analysis:

[0100] according to Figure 6 The stress and deformation state of the annular joint under the action of positive bending moment M and axial force N in the third bending mode shown in the figure. The bolt is subjected to tension T and the deformation is ε'B. According to the force balance condition and deformation coordination condition, it can be obtained:

[0101]

[0102]

[0103] Where ε′ represents the strain at the bolt when the circumferential joint is opened; h b Indicates the height of the bolt from the edge of the compression zone; T indicates the tension on the bolt when the circumferential joint is opened; A g Indicates the area of ​​the bolt hole; E b Indicates the elastic modulus of the bolt;

[0104] Combining (7) and (8) we can get the moment rotation angle expression shown in equation (9):

[0105]

[0106] In the formula, It can be seen from formula (9) that in the third bending mode of the circumferential joint, when the axial force N is not 0, the relationship between the bending moment and the rotation angle is nonlinear.

[0107] Fourth bending mode analysis:

[0108] according to Figure 7 The stress and deformation state of the annular joint under the action of positive bending moment M and axial force N in the fourth bending mode shown in the figure. At this time, the bolt has yielded. According to the ideal elastic-plastic assumption of the bolt material, the tensile force of the bolt in this bending mode is constant as T b According to the force balance condition and deformation coordination condition, we can get:

[0109]

[0110]

[0111] Among them, T b Indicates the tensile force on the bolt when it yields;

[0112] Combining (10) and (11) we can get the moment rotation angle expression shown in (12):

[0113]

[0114] It can be seen from formula (12) that in the fourth bending mode, the relationship between the bending moment and the rotation angle of the circumferential joint is nonlinear.

[0115] Fifth bending mode analysis:

[0116] according to Figure 8 The stress and deformation state of the annular joint under the action of positive bending moment M and axial force N in the fifth bending mode shown in the figure. At this time, the compression zone of the concrete enters the plastic stage. According to the ideal elastic-plastic assumption of concrete materials, the area h where the concrete enters the plastic stage 1As the joint opens, it gradually extends downward. According to the force balance condition and deformation coordination condition, we can get:

[0117]

[0118]

[0119] Among them, σ b Indicates the stress when concrete enters plasticity; h 1 It indicates the height of the area where the compression zone of the annular joint enters the plastic state;

[0120] Combining (13) and (14) we can get the moment rotation angle expression shown in (15):

[0121]

[0122] It can be seen from formula (15) that in the fifth bending mode, the relationship between the bending moment and the rotation angle of the circumferential joint is nonlinear.

[0123] In summary, the calculation formulas for the bending moment angles corresponding to the above five bending modes are as follows:

[0124]

[0125] S13. According to each bending moment angle expression and different axial force types, obtain the critical bending moment expression corresponding to different stress states; wherein the bending moment angle expression includes the first bending moment angle expression, the second bending moment angle expression, the third bending moment angle expression, the fourth bending moment angle expression and the fifth bending moment angle expression respectively shown in the above formulas (3), (6), (9), (12) and (15); specifically, the step of obtaining the critical bending moment expression corresponding to different stress states according to each bending moment angle expression and different axial force types includes:

[0126] According to the bending moment angle expression of each circumferential joint bending mode and the corresponding critical state, the corresponding critical joint angle is obtained; the critical joint angle includes the critical separation angle of the joint, the critical stress angle of the bolt, the critical yield angle of the bolt and the critical plastic angle at the upper edge of the concrete compression zone;

[0127] Specifically, it can be understood as:

[0128] In the first bending mode, when ε shown in equation (1) 2 When it is 0, the annular joint is in a critical separation state. 2 =0 Substituting into equation (1) and equation (2), the rotation angle of the annular joint at the critical separation of the annular joint can be obtained, that is, the critical separation rotation angle of the joint is:

[0129]

[0130] In the second bending mode, when the tensile zone of the joint extends to the bolt, the bolt is in a critical stress state, and h = h b Substituting into equations (4) and (5), the rotation angle of the circumferential joint when the bolt is subjected to critical force can be obtained, that is, the critical force rotation angle of the bolt is:

[0131]

[0132] In the third bending mode, as the joint continues to open, the tension on the bolt increases until the bolt begins to yield. The tension on the bolt when it yields is T b =f b A g Substituting into equations (7) and (8), we can obtain the rotation angle of the joint when the bolt reaches critical yield, that is, the critical yield rotation angle of the bolt is:

[0133]

[0134] Among them, f b Indicates the stress at which the bolt yields;

[0135] In the fourth bending mode, as the joint continues to open, the tensile force on the concrete in the compression zone increases until the upper edge of the concrete compression zone enters the plastic stage, and the strain ε when the concrete enters the plastic stage is b =σ b / E c Substituting the strain ε in equations (10) and (11), the rotation angle of the joint at the critical plastic stage at the upper edge of the concrete compression zone can be obtained, that is, the critical plastic rotation angle at the upper edge of the concrete compression zone is:

[0136]

[0137] According to the critical joint rotation angle and the bending moment rotation angle expression, the critical bending moment expression between the adjacent circumferential joint bending modes under each stress state is determined; wherein the axial force types include pressure, 0 and tension, and the corresponding stress states include compression bending stress state, pure bending stress state and tension bending stress state; specifically, according to the critical joint rotation angle and the bending moment rotation angle expression, the step of determining the critical bending moment expression between the adjacent circumferential joint bending modes under each stress state includes:

[0138] When the axial force type is pressure, the first critical bending moment expression is determined according to the first bending moment angle expression, the second bending moment angle expression and the critical separation angle of the joint, and the second critical bending moment expression is determined according to the second bending moment angle expression, the third bending moment angle expression and the critical force angle of the bolt; the first critical bending moment expression is:

[0139]

[0140] Among them, M Y1 It represents the first critical positive bending moment acting on the circumferential joint; N represents the axial force acting on the circumferential joint, N>0; H represents the joint section height;

[0141] The second critical bending moment expression is:

[0142]

[0143] Among them, M Y2 represents the second critical positive bending moment acting on the circumferential joint; h b Indicates the height of the bolt from the edge of the compression zone;

[0144] Specifically, the analysis process when the axial force is pressure is:

[0145] Considering that the bending moments applied in the theoretical model are all positive bending moments, it can be seen from formula (16) that the axial forces in the first bending mode I and the second bending mode II are both pressure. When the annular joint is in a critical separation state, that is, θ = θ 1 When , substituting (17) into equation (21) we can obtain the critical bending moment calculation formula for the first bending mode I and the second bending mode II;

[0146] When the circumferential joint is in the critical stress state of the bolt, that is, θ = θ 2 When , substituting formula (18) into formula (22) we can obtain the critical bending moment calculation formula of the second bending mode II and the third bending mode III;

[0147] When the circumferential joint is in the critical yield state of the bolt, that is, θ = θ 3 It is found that the third bending mode III and the fourth bending mode IV have no critical bending moment.

[0148] When the axial force type is 0, the third critical bending moment expression is determined according to the third bending moment angle expression, the fourth bending moment angle expression and the critical yield angle of the bolt; the third critical bending moment expression is:

[0149]

[0150] Among them, M C represents the third critical positive bending moment acting on the circumferential joint; h b Indicates the height of the bolt from the edge of the compression zone; E b Indicates the elastic modulus of the bolt; E c represents the elastic modulus of concrete; T b Indicates the tensile force on the bolt when it yields; f brepresents the stress when the bolt yields; b represents the width of the joint section;

[0151] Specifically, the analysis process when the axial force is 0 is:

[0152] When the circumferential joint is in the critical yield state of the bolt, that is, θ = θ 3 When (19) is substituted, the critical bending moment calculation formula of the third bending mode III and the fourth bending mode IV can be obtained as shown in (23);

[0153] When the axial force type is tension, the fourth critical bending moment expression is determined according to the fourth bending moment rotation angle expression, the fifth bending moment rotation angle expression and the critical plastic rotation angle at the upper edge of the concrete compression zone; the fourth critical bending moment expression is:

[0154]

[0155] Among them, M L represents the fourth critical positive bending moment acting on the circumferential joint; σ b Represents the stress at which concrete enters plasticity.

[0156] Specifically, the analysis process when the axial force is a tensile force is as follows:

[0157] When the circumferential joint is in the critical yield state of the bolt, that is, θ = θ 3 When , it is found that the third bending mode III and the fourth bending mode IV have no critical bending moment;

[0158] When the annular joint is in the critical plastic stage at the upper edge of the concrete compression zone, that is, θ = θ 4 When (20) is substituted, the critical bending moment calculation formula of the fourth bending mode IV and the fifth bending mode V can be obtained as shown in (24).

[0159] In summary, the bending deformation of the circumferential joint develops with the bending moment as shown in Table 1:

[0160] Table 1 Bending mode development process with bending moment

[0161]

[0162] S14. According to the critical bending moment expressions under various stress states, the distribution area diagram of the internal force of the annular joint is obtained; wherein, the distribution area diagram of the internal force of the annular joint can be understood as the distribution diagram obtained by plotting the four critical bending moment expressions corresponding to (21)-(24) on the same coordinate system diagram with the bending moment as the horizontal coordinate and the axial force as the vertical coordinate. Assuming that the elastic modulus of concrete E c =33GPa, elastic modulus of the bolt E b =210GPa, yield strength of bolt f b=900MPa, compressive yield strength of concrete σ b =50MPa, joint section width b = 0.016m, joint section height H = 0.25m, joint length B = 1m, height h of bolt from concrete edge of compression zone b =0.165m, effective area of ​​bolt A g =7×10 -4 m 2 , that is, Fig. 9 The regional distribution MN diagram corresponding to different bending modes is shown in the figure, which divides the first quadrant of the coordinate system by the critical bending moment expression, and the marked areas I, II, III, IV and V in the figure correspond to 5 types of bending modes respectively. The following method can be directly used to monitor and identify the stress state and bending mode of the circumferential joint in real time during the subsequent construction process; it should be noted that Fig. 9 M max It is obtained by the following formula (25) and in M max After determination, N can be directly determined according to the above critical bending moment expression max :

[0163]

[0164] S15, obtaining the measured bending moment value and the measured axial force value of the circumferential joint in the actual project, and obtaining the corresponding actual circumferential joint bending mode according to the measured bending moment value, the measured axial force value and the circumferential joint internal force distribution area diagram; wherein the measured bending moment value and the measured axial force value can be obtained in real time by installing a strain gauge at the position of the circumferential joint, and no specific limitation is made here;

[0165] In order to ensure the high efficiency of the stress state and bending mode identification of the circumferential joint, the present embodiment preferably adopts the coordinate positioning method to determine the bending mode of the circumferential joint in the actual project, and timely and reliably guides the construction of the project; specifically, the step of obtaining the corresponding actual circumferential joint bending mode according to the measured bending moment value, the measured axial force value and the circumferential joint internal force distribution area diagram includes:

[0166] According to the measured bending moment value and the measured axial force value, the corresponding circumferential joint internal force coordinate value is obtained;

[0167] Determining an actual deformation position area corresponding to the internal force distribution area diagram of the annular joint according to the internal force coordinate value of the annular joint;

[0168] According to the actual deformation position area, a corresponding actual circumferential joint bending mode is obtained;

[0169] Specifically, it can be understood that the position of a coordinate point on the annular joint internal force distribution area diagram is obtained by taking the measured axial force value and the measured bending moment value as the X-axis and Y-axis coordinate values ​​respectively, and the internal force coordinate value of the annular joint is determined. Then, the actual deformation position area is determined according to the area to which the internal force coordinate value of the annular joint belongs on the annular joint internal force distribution area diagram. Finally, according to the corresponding relationship between different areas on the annular joint internal force distribution area diagram and the joint bending mode, the actual annular joint bending mode of the current annular joint is directly identified, and based on the determination process of the above-mentioned critical bending expression, the stress state of the current annular joint can be directly inferred according to the area position of the annular joint internal force distribution area diagram.

[0170] It should be noted that, although the above scheme of the present invention adopts a representative flat cross section and bolt fixing method to derive the theoretical model, since the tensile strength of the epoxy resin at the joint in the actual project is greater than the tensile strength of the concrete, after the joint contact surface is pulled, the epoxy resin bonding surface will not separate from the bonded concrete. Therefore, the joint cross section including the concave and convex tenon surface remains flat during the load-bearing process, and the method of the present invention can still be used for analysis and identification;

[0171] The embodiment of the present application obtains the bending mode of the annular joint in advance according to the contact state at the joint of the annular joint and the stress stage division of the connecting material of the annular joint, and then analyzes the stress-deformation state of the annular joint of each annular joint bending mode according to the parameter information at the cross section of the annular joint, establishes each critical bending moment model in combination with the force balance condition, deformation coordination condition and corresponding critical condition of each annular joint bending mode, and generates the corresponding internal force distribution area map accordingly, which is used to determine the deformation position area according to the actual bending moment value and the actual axial force value at the joint position measured in the actual project, and then obtain the corresponding bending mode and stress state. The technical solution can fully consider the nonlinear characteristics of the annular joint, establish the stress-deformation analysis model based on the force balance condition and the deformation coordination condition, solve the problem of imperfect theoretical model of annular joint calculation in the prior art, and simply and efficiently give a high-reliability calculation formula for each critical bending moment and generate a reasonable and effective internal force distribution area map, and simply, in real time and accurately determine the deformation mode of the annular joint through the coordinate point positioning method, provide reasonable and effective guidance for engineering construction, and then provide reliable guarantee for the safety performance of the prefabricated station structure.

[0172] It should be noted that although the steps in the above flowchart are shown in sequence according to the arrows, these steps are not necessarily executed in the order indicated by the arrows. Unless otherwise specified in this document, there is no strict order restriction for the execution of these steps, and these steps can be executed in other orders.

[0173] In one embodiment, Fig.10As shown, a segment annular joint bending pattern recognition system is provided, the system comprising:

[0174] Mode division module 1 is used to obtain parameter information of the cross section of the circumferential joint, and divide the bending mode of the circumferential joint according to a preset classification standard to obtain a plurality of bending modes of the circumferential joint; the parameter information of the cross section includes cross section size parameters and cross section material parameters;

[0175] The deformation analysis module 2 is used to analyze the stress deformation state of the annular joints of each annular joint bending mode according to the parameter information at the cross section, and obtain the corresponding bending moment rotation angle expressions respectively;

[0176] Critical analysis module 3, used to obtain critical bending moment expressions corresponding to different stress states according to various bending moment angle expressions and different axial force types;

[0177] The internal force diagram generation module 4 is used to obtain the internal force distribution area diagram of the circumferential joint according to the critical bending moment expression under each stress state;

[0178] The pattern recognition module 5 is used to obtain the measured bending moment value and the measured axial force value of the circumferential joint in the actual project, and obtain the corresponding actual circumferential joint bending mode according to the measured bending moment value, the measured axial force value and the circumferential joint internal force distribution area diagram.

[0179] For the specific definition of a segment annular joint bending pattern recognition system, please refer to the definition of a segment annular joint bending pattern recognition method mentioned above, which will not be repeated here. Each module in the above-mentioned segment annular joint bending pattern recognition system can be implemented in whole or in part through software, hardware and their combination. The above-mentioned modules can be embedded in or independent of the processor in the computer device in the form of hardware, or can be stored in the memory of the computer device in the form of software, so that the processor can call and execute the operations corresponding to the above modules.

[0180] Fig.11 FIG. 1 shows an internal structure diagram of a computer device in an embodiment, and the computer device may specifically be a terminal or a server. Fig.11As shown, the computer device includes a processor, a memory, a network interface, a display and an input device connected through a system bus. Among them, the processor of the computer device is used to provide computing and control capabilities. The memory of the computer device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system and a computer program. The internal memory provides an environment for the operation of the operating system and the computer program in the non-volatile storage medium. The network interface of the computer device is used to communicate with an external terminal through a network connection. When the computer program is executed by the processor, a method for recognizing the bending pattern of the annular joint of a pipe segment is implemented. The display screen of the computer device can be a liquid crystal display screen or an electronic ink display screen, and the input device of the computer device can be a touch layer covered on the display screen, or a key, trackball or touchpad set on the computer device shell, or an external keyboard, touchpad or mouse, etc.

[0181] It can be understood by those skilled in the art that Fig.11 The structure shown in the figure is only a block diagram of a part of the structure related to the present application scheme, and does not constitute a limitation on the computer device to which the present application scheme is applied. The specific computing device may include more or fewer components than shown in the figure, or combine certain components, or have the same component arrangement.

[0182] In one embodiment, a computer device is provided, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the steps of the above method are implemented when the processor executes the computer program.

[0183] In one embodiment, a computer-readable storage medium is provided, on which a computer program is stored, and when the computer program is executed by a processor, the steps of the above method are implemented.

[0184] In summary, an embodiment of the present invention provides a method, system, computer device and storage medium for identifying bending modes of circumferential joints of pipe segments. The method for identifying bending modes of circumferential joints of pipe segments realizes obtaining parameter information of the cross section of the circumferential joint, and divides the bending modes of the circumferential joints according to preset classification standards to obtain a number of bending modes of the circumferential joints. Then, according to the parameter information at the cross section, the stress-deformation state of the circumferential joints of each circumferential joint bending mode is analyzed to obtain corresponding bending moment rotation angle expressions respectively, and according to each bending moment rotation angle expression and different axial force types, the critical bending moment expressions corresponding to different stress states are obtained, and then the internal force distribution area diagram of the circumferential joint is generated according to the critical bending moment expression, and the actual working state is obtained. After the measured bending moment value and the measured axial force value of the circumferential joint in the process, a technical solution is obtained to obtain the actual bending mode of the circumferential joint according to the measured bending moment value, the measured axial force value and the distribution area diagram of the internal force of the circumferential joint. This method can fully consider the nonlinear characteristics of the circumferential joint, establish a force-deformation analysis model based on the force balance condition and the deformation coordination condition, and solve the problem of imperfect theoretical calculation model of the circumferential joint in the prior art. At the same time, a high-reliability calculation formula for each critical bending moment is simply and efficiently given and a reasonable and effective internal force distribution area diagram is generated. The deformation mode of the circumferential joint is determined simply, in real time and accurately through the coordinate point positioning method, which provides reasonable and effective guidance for engineering construction, and further provides reliable guarantee for the safety performance of the prefabricated station structure.

[0185] Each embodiment in this specification is described in a progressive manner, and the same or similar parts of each embodiment can be directly referred to each other, and each embodiment focuses on the differences from other embodiments. In particular, for the system embodiment, since it is basically similar to the method embodiment, the description is relatively simple, and the relevant parts can be referred to the partial description of the method embodiment. It should be noted that the technical features of the above-mentioned embodiments can be combined arbitrarily. In order to make the description concise, all possible combinations of the technical features in the above-mentioned embodiments are not described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0186] The above-mentioned embodiments only express several preferred implementation modes of the present application, and the descriptions thereof are relatively specific and detailed, but they cannot be understood as limiting the scope of the invention patent. It should be pointed out that, for ordinary technicians in the technical field, several improvements and substitutions can be made without departing from the technical principles of the present invention, and these improvements and substitutions should also be regarded as the protection scope of the present application. Therefore, the protection scope of the patent of the present application shall be based on the protection scope of the claims.

Claims

1. A method for identifying bending patterns of segment annular joints, characterized in that: The method comprises the following steps: Obtaining parameter information at a cross section of the circumferential joint, and dividing the bending modes of the circumferential joint according to a preset classification standard to obtain a plurality of bending modes of the circumferential joint; the parameter information at the cross section includes a cross section size parameter and a cross section material parameter; According to the parameter information at the cross section, the stress-deformation state of the circumferential joint of each circumferential joint bending mode is analyzed to obtain the corresponding bending moment rotation angle expressions respectively; According to the expressions of various bending moment rotation angles and different axial force types, the critical bending moment expressions corresponding to different stress states are obtained; According to the critical bending moment expression under each stress state, the internal force distribution area diagram of the circumferential joint is obtained; Obtaining the measured bending moment value and the measured axial force value of the circumferential joint in the actual project, and obtaining the corresponding actual circumferential joint bending mode according to the measured bending moment value, the measured axial force value and the circumferential joint internal force distribution area diagram; The step of analyzing the stress-deformation state of the annular joints of the bending modes of each annular joint according to the parameter information at the cross section to obtain the corresponding bending moment rotation angle expressions includes: According to the parameter information at the cross section, the stress-deformation state of the circumferential joint of each circumferential joint bending mode is analyzed to determine the force balance condition and deformation coordination condition of each circumferential joint bending mode; According to the force balance condition and deformation coordination condition of each circumferential joint bending mode, the corresponding bending moment rotation expression is obtained.

2. The method for recognizing bending patterns of segment annular joints according to claim 1, characterized in that: The step of obtaining parameter information at the cross section of the annular joint comprises: The cross-sectional dimension parameters are obtained by actual measurement or according to the design drawing of the prefabricated station; the cross-sectional dimension parameters include the joint cross-sectional width, the joint cross-sectional height, the joint length, the height of the bolt from the edge of the concrete in the compression zone, and the effective area of ​​the bolt; The cross-sectional material parameters are obtained according to the material physical property standard; the cross-sectional material parameters include the elastic modulus of concrete, the elastic modulus of bolts, the yield strength of bolts and the compressive yield strength of concrete.

3. The method for recognizing bending patterns of segment annular joints according to claim 1, characterized in that: The step of dividing the annular joint bending modes according to the preset classification standard to obtain a plurality of annular joint bending modes comprises: According to the contact state at the seam of the circumferential joint and the stress stage of the connecting material of the circumferential joint, the bending mode of the circumferential joint is divided to obtain the bending mode of the circumferential joint; the bending mode of the circumferential joint includes a first bending mode, a second bending mode, a third bending mode, a fourth bending mode and a fifth bending mode; The first bending mode is a state where the seams of the circumferential joint are not fully in contact; The second bending mode is a state in which the circumferential joint is opened and the bolts are not under tension; The third bending mode is a state where the bolt is subjected to elastic tension; The fourth bending mode is a state in which the bolt is subjected to plastic tension and the concrete compression zone is subjected to elastic stress; The fifth bending mode is that the compression zone of the concrete enters a plastic state.

4. The method for recognizing bending patterns of segment annular joints according to claim 3, characterized in that: The bending moment angle expression includes a first bending moment angle expression, a second bending moment angle expression, a third bending moment angle expression, a fourth bending moment angle expression and a fifth bending moment angle expression, which are respectively expressed as: Where N represents the axial force acting on the annular joint; E c represents the elastic modulus of concrete; b represents the width of the joint section; H represents the height of the circumferential joint section; θ represents the rotation angle of the circumferential joint under the action of axial force and bending moment; B represents the length of the circumferential joint; M represents the positive bending moment acting on the circumferential joint; σ b Indicates the stress when concrete enters plasticity; T b Indicates the tensile force on the bolt when it yields; h b It indicates the height of the bolt from the edge of the compression zone; h indicates the height of the compression zone when the annular joint is opened; The step of obtaining the critical bending moment expressions corresponding to different stress states according to the various bending moment angle expressions and different axial force types comprises: According to the bending moment angle expression of each circumferential joint bending mode and the corresponding critical state, the corresponding critical joint angle is obtained; the critical joint angle includes the critical separation angle of the joint, the critical stress angle of the bolt, the critical yield angle of the bolt and the critical plastic angle at the upper edge of the concrete compression zone; According to the critical joint rotation angle and the bending moment rotation angle expression, the critical bending moment expression between the adjacent circumferential joint bending modes under each stress state is determined.

5. The method for recognizing bending patterns of segment annular joints according to claim 4, characterized in that: The axial force types include pressure, 0 and tension, and the corresponding stress states include compression bending stress state, pure bending stress state and tension bending stress state; The step of determining the critical bending moment expression between the bending modes of adjacent circumferential joints under each stress state according to the critical joint rotation angle and the bending moment rotation angle expression comprises: When the axial force type is pressure, the first critical bending moment expression is determined according to the first bending moment angle expression, the second bending moment angle expression and the critical separation angle of the joint, and the second critical bending moment expression is determined according to the second bending moment angle expression, the third bending moment angle expression and the critical force angle of the bolt; the first critical bending moment expression is: Among them, M Y1 It represents the first critical positive bending moment acting on the circumferential joint; N represents the axial force acting on the circumferential joint, N>0; H represents the joint section height; The second critical bending moment expression is: Among them, M Y2 represents the second critical positive bending moment acting on the circumferential joint; h b Indicates the height of the bolt from the edge of the compression zone; When the axial force type is 0, the third critical bending moment expression is determined according to the third bending moment angle expression, the fourth bending moment angle expression and the critical yield angle of the bolt; the third critical bending moment expression is: Among them, M C represents the third critical positive bending moment acting on the circumferential joint; h b Indicates the height of the bolt from the edge of the compression zone; E b Indicates the elastic modulus of the bolt; E c represents the elastic modulus of concrete; T b Indicates the tensile force on the bolt when it yields; f b represents the stress when the bolt yields; b represents the width of the joint section; When the axial force type is tension, the fourth critical bending moment expression is determined according to the fourth bending moment rotation angle expression, the fifth bending moment rotation angle expression and the critical plastic rotation angle at the upper edge of the concrete compression zone; the fourth critical bending moment expression is: Among them, M L represents the fourth critical positive bending moment acting on the circumferential joint; σ b Represents the stress at which concrete enters plasticity.

6. The method for recognizing bending patterns of segment annular joints according to claim 1, characterized in that: The step of obtaining the corresponding actual annular joint bending mode according to the measured bending moment value, the measured axial force value and the annular joint internal force distribution area diagram comprises: According to the measured bending moment value and the measured axial force value, the corresponding circumferential joint internal force coordinate value is obtained; Determining an actual deformation position area corresponding to the internal force distribution area diagram of the annular joint according to the internal force coordinate value of the annular joint; According to the actual deformation position area, the corresponding actual annular joint bending mode is obtained.

7. A segment annular joint bending pattern recognition system, characterized in that: The system comprises: A mode division module is used to obtain parameter information at the cross section of the circumferential joint, and divide the bending mode of the circumferential joint according to a preset classification standard to obtain a plurality of bending modes of the circumferential joint; the parameter information at the cross section includes a cross section size parameter and a cross section material parameter; A deformation analysis module is used to analyze the stress deformation state of the annular joints of each annular joint bending mode according to the parameter information at the cross section, and obtain the corresponding bending moment rotation angle expressions respectively; Critical analysis module, used to obtain the critical bending moment expression under different stress states according to various bending moment angle expressions and different axial force types; Internal force diagram generation module, used to obtain the internal force distribution area diagram of the circumferential joint according to the critical bending moment expression under each stress state; A pattern recognition module is used to obtain the measured bending moment value and the measured axial force value of the circumferential joint in the actual project, and obtain the corresponding actual circumferential joint bending mode according to the measured bending moment value, the measured axial force value and the circumferential joint internal force distribution area diagram; The step of analyzing the stress-deformation state of the annular joints of the bending modes of each annular joint according to the parameter information at the cross section to obtain the corresponding bending moment rotation angle expressions includes: According to the parameter information at the cross section, the stress-deformation state of the circumferential joint of each circumferential joint bending mode is analyzed to determine the force balance condition and deformation coordination condition of each circumferential joint bending mode; According to the force balance condition and deformation coordination condition of each circumferential joint bending mode, the corresponding bending moment rotation expression is obtained.

8. A computer device comprising a memory, a processor and a computer program stored in the memory and executable on the processor, characterized in that: When the processor executes the computer program, the steps of the method according to any one of claims 1 to 6 are implemented.

9. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the steps of the method according to any one of claims 1 to 6 are implemented.

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