Method, system, medium and equipment for determining bending stiffness of joints of prefabricated station

Abstract

The present application relates to a method for determining the bending stiffness of joints of an assembled station, the method comprising: obtaining the segment ring section of the assembled station, the segment ring section being the section of the assembled station along the width direction of the top plate arch; creating a force method model of the segment ring section according to the load distribution of the segment ring section, and obtaining the external force model of the segment ring section through the force method model and the relationship between the load on the top plate arch in the segment ring section and the bending stiffness at the joint; obtaining the internal force model of the joint in the segment ring section according to the mechanical equilibrium model of the inner surface of the joint in the segment ring section under different stress states; and obtaining the bending stiffness value of each joint according to the external force model and the internal force model. Compared with the prior art, the present invention can accurately determine the bending stiffness of the joints of the assembled station, ensure the normal production of the station, and meet the actual application needs.

Description

Technical Field

[0001] The present application relates to the technical field of subway station assembly, and in particular to a method, system, medium and equipment for determining the bending stiffness of joints of an assembled station. Background Art

[0002] The prefabricated subway station is a new form of prefabricated construction. It is to concentrate the steel bars and concrete constructed by traditional methods in the factory and produce them into prefabricated components. Finally, they are assembled at the main structure construction site at one time, piece by piece like building blocks. Prefabricated construction makes the construction and production of building structures factory-based. Compared with the traditional cast-in-place subway station structure, the prefabricated station has the advantages of high efficiency, controllable quality, energy saving and environmental protection.

[0003] Among them, the prefabricated station can be regarded as being assembled from multiple concrete segments, which are pre-tightened by bolts. Due to the existence of inter-segment joints, the stiffness distribution of the segment ring structure is uneven, which also makes the inter-segment joint stiffness K an important parameter for prefabricated structure design and safety assessment. However, due to the particularity and complexity of the prefabricated structure joints, there are few circumferential calculation models for prefabricated stations. Therefore, it is urgent to provide a method for measuring the bending stiffness of the joints of prefabricated stations. Summary of the invention

[0004] Based on this, it is necessary to provide a method, system, medium and equipment for determining the bending stiffness of the joints of prefabricated stations that can accurately determine the bending stiffness of the joints of prefabricated stations to ensure that the stations are in normal operation, in response to the above-mentioned technical problems.

[0005] An embodiment of the present invention provides a method for determining the bending stiffness of a joint of an assembled station, wherein the assembled station includes a top plate and a bottom plate arranged in parallel up and down, and two side wall plates arranged in parallel left and right, and the joints of the top plate and the bottom plate are respectively fixedly connected to the corresponding side wall plates by a bolt, and the method includes the following steps:

[0006] Obtaining the segment ring cross section of the prefabricated station; wherein the segment ring cross section is the cross section of the prefabricated station along the width direction of the top plate arch;

[0007] A force method model of the segment ring section is created according to the load distribution of the segment ring section, and an external force model of the segment ring section is obtained through the force method model and the relationship between the load on the top plate vault in the segment ring section and the bending stiffness at the joint;

[0008] Building a mechanical balance model of the inner surface of the joint in the segment ring section under different stress states, and obtaining an internal force model of the joint in the segment ring section according to the mechanical balance model;

[0009] According to the external force model and the internal force model, the bending stiffness value of each joint is obtained.

[0010] Furthermore, before creating the force method model of the segment ring section according to the load distribution of the segment ring section, the method further includes:

[0011] Get the crown in the segment ring section O Load at x 1. x 2, among which, x 1 is the top plate vault O The axial force at the location, x 2 is the top plate vault O Bending moment at the location;

[0012] Get the deadweight load of the prefabricated station q 1, among which, q 1= cA s ,c is the concrete bulk density, A s is the segment ring cross-sectional area of ​​the prefabricated station; obtain the base reaction force of the prefabricated station q 2, among which, q 2= q 1*( R 1* i 1+ h 2+ R 2* i 2) / ( R 1*sin( i 1)), h 1 is the cross-sectional height of the top plate, h 2 is the side wall section height, h 3 is the cross-sectional height of the bottom plate, i 1 is the arc of the top plate segment, i 2 is the arc of the bottom plate segment;

[0013] Define the joint connected to the top plate as the first joint, and the joint connected to the bottom plate as the second joint. Suppose the bending moments at the first joint and the second joint are M 1. M 2. The bending stiffnesses at the first joint and the second joint are K1 and K2 respectively.

[0014] Furthermore, the force method model is:

[0015]

[0016] The relationship between the load on the top plate vault in the segment ring section and the bending stiffness at the joint is:

[0017]

[0018] in, d 11 For x Under the action of unit force in 1 direction, the top plate arches O along x 1. Displacement in direction; d 12 For x Under the action of unit force in two directions, the top plate arches O along x 1. Displacement in direction; d 21 For x Under the action of unit force in 1 direction, the top plate arches O along x Displacement in 2 directions; d 22 For x Under the action of unit force in two directions, the top plate arches O along x Displacement in 2 directions; D 1p For external load q 1. q 2, the top plate vaults O along x 1. Displacement in direction; D 2p For external load q 1. q 2, the top plate vaults O along x The angle generated in 1 direction, q 1 is the deadweight load of the prefabricated station, q 2 is the base reaction force of the prefabricated station.

[0019] Furthermore, the step of obtaining the external force model of the segment ring section through the force method model and the relationship between the load on the top plate vault in the segment ring section and the bending stiffness at the joint includes:

[0020] Obtaining a total bending moment calculation model and a total axial force calculation model of the segment ring section under the external load, and obtaining an external force model of the segment ring section according to the total bending moment calculation model, the total axial force calculation model, and the relationship between the load on the top plate arch and the bending stiffness at the joint;

[0021] The total bending moment calculation model is:

[0022] The total shaft force calculation model is:

[0023] The external force model is

[0024] in, M q The deadweight load of the prefabricated station q 1 and base reaction q 2 The bending moment generated on any segment ring section, N q The deadweight load of the prefabricated station q 1 and base reaction q 2 Axial force generated on any segment ring section, M θ The deadweight load of the prefabricated station q 1 and base reaction force q 2 、 Top plate vault O Axial force at x 1 and top plate vault O Bending moment x 2 The sum of the bending moments generated in any segment ring section, N θ The deadweight load of the prefabricated station q 1 and base reaction force q 2 、 Top plate vault O Axial force at x 1 and top plate vault O Bending moment x 2 The sum of the axial forces generated in any segment ring section, , Along x The bending moment and axial force generated by the unit force in the 1st direction on any segment ring section; , Along x The bending moment and axial force generated by unit forces in two directions on any segment ring section.

[0025] Furthermore, the mechanical equilibrium model of the inner surface of the joint in the segment ring section under different stress states is:

[0026]

[0027] in, N is the axial force on the joint, M is the bending moment on the joint, is the tension of a single bolt, is the number of bolts in the joint, is the distance from the bolt to the outer surface of the segment ring section, is the joint section height, k is the joint compression stiffness, , are the concrete compressive stresses at the top and bottom of the joint edge, E is the elastic modulus of the material, is the width of the joint section, is the bending angle value of the single-side joint surface, is the joint rotational stiffness.

[0028] Further, according to the mechanical equilibrium model of the inner surface of the joint in the segment ring section under different stress states, the step of obtaining the internal force model of the joint in the segment ring section includes:

[0029] The mechanical equilibrium model is solved to obtain the rotational stiffness of the joint inner surface in the segment ring section under different stress states. K θ , , then the internal force model of the joint in the segment ring section is:

[0030]

[0031] in, N 1. N 2 are the axial forces at the first joint and the second joint respectively.

[0032] Furthermore, according to the external force model and the internal force model, the step of obtaining the bending stiffness value of each joint includes:

[0033] Substituting the internal force model into the external force model, we can obtain ,

[0034] Provide bending resistance at the first joint K 1 and the bending stiffness at the second joint K 2An initial value K 0 ,by For the convergence standard, an iterative calculation is performed to obtain the bending stiffness value of each joint in the prefabricated station, and δ is a preset value.

[0035] Another embodiment of the present invention provides a joint bending stiffness determination system for an assembled station, wherein the assembled station includes a top plate and a bottom plate arranged in parallel up and down, and two side wall plates arranged in parallel left and right, and the joints of the top plate and the bottom plate are respectively fixedly connected to the corresponding side wall plates by a bolt, and the system includes:

[0036] The segment data acquisition module is used to acquire the segment ring section of the prefabricated station; wherein the segment ring section is the section of the prefabricated station along the width direction of the top plate vault;

[0037] The first model creation module is used to establish the load distribution of the segment ring section to create a force method model of the segment ring section, and obtain the external force model of the segment ring section through the force method model and the relationship between the load on the top plate vault in the segment ring section and the bending stiffness at the joint;

[0038] A second model creation module is used to obtain an internal force model of the joint in the segment ring section according to a mechanical balance model of the inner surface of the joint in the segment ring section under different stress states, and according to the mechanical balance model;

[0039] The bending stiffness calculation module is used to obtain the bending stiffness value of each joint according to the external force model and the internal force model.

[0040] Another embodiment of the present invention further proposes a computer-readable storage medium, which includes a stored computer program; wherein, when the computer program is running, it controls the device where the computer-readable storage medium is located to execute the method for determining the bending stiffness of the joints of the prefabricated station as described above.

[0041] Another embodiment of the present invention also proposes a terminal device, including a processor, a memory, and a computer program stored in the memory and configured to be executed by the processor, and the processor implements the method for determining the bending stiffness of the joints of the prefabricated station as described above when executing the computer program.

[0042] The above-mentioned method for determining the bending stiffness of the joints of the prefabricated station first obtains the segment ring section of the prefabricated station, and the segment ring section is the section of the prefabricated station along the width direction of the top plate arch; creates a force method model of the segment ring section according to the load distribution of the segment ring section, and obtains the external force model of the segment ring section through the force method model and the relationship between the load on the top plate arch in the segment ring section and the bending stiffness at the joint; obtains the internal force model of the joint in the segment ring section according to the mechanical equilibrium model of the inner surface of the joint in the segment ring section under different stress states; obtains the bending stiffness value of each joint according to the external force model and the internal force model. Compared with the prior art, the present invention can accurately determine the bending stiffness of the joints of the prefabricated station, ensure the normal production of the station, and meet the actual application needs. BRIEF DESCRIPTION OF THE DRAWINGS

[0043] Figure 1A schematic flow chart of a method for determining the bending stiffness of a joint of an assembled station provided in an embodiment of the present invention;

[0044] Figure 2 It is a schematic diagram of the force distribution diagram of the segment ring section of the prefabricated station;

[0045] Figure 3 It is a schematic diagram of the structural force analysis of the prefabricated station under the action of deadweight load;

[0046] Figure 4 It is a schematic diagram of the structural force analysis of the prefabricated station under the action of the base reaction force;

[0047] Figure 5 It is a schematic diagram of force analysis of the joint subjected to negative bending moment;

[0048] Figure 6 It is a schematic diagram of force analysis of the joint subjected to positive bending moment;

[0049] Figure 7 A structural block diagram of a system for determining the bending stiffness of joints of a prefabricated station provided in an embodiment of the present invention. DETAILED DESCRIPTION

[0050] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this technical field without creative work are within the scope of protection of the present invention.

[0051] It should be noted that the step numbers in the text are only for the convenience of explaining the specific embodiment and do not limit the order of execution of the steps. The method provided in this embodiment can be executed by a related server, and the following description will be given by taking the server as the execution subject as an example.

[0052] like Figure 1 As shown, the method for determining the bending stiffness of the joint of the prefabricated station provided by the embodiment of the present invention includes steps S11 to S14:

[0053] Step S11, obtaining the segment ring cross section of the prefabricated station.

[0054] It should be noted that the prefabricated station includes a top plate and a bottom plate arranged in parallel up and down, and two side wall plates arranged in parallel left and right, and the joints of the top plate and the bottom plate are fixedly connected to the corresponding side wall plates by a bolt. The segment ring cross section is the cross section of the prefabricated station along the width direction of the top plate arch. Since the segment ring cross section of the prefabricated station is a central symmetrical structure with the top plate arch and the bottom plate arch as the symmetry center, when determining the bending stiffness of the joint of the prefabricated station, the top plate arch and the bottom plate arch can be used as the symmetry center to perform a force analysis on the segment ring cross section corresponding to the prefabricated station on one side.

[0055] Specifically, before creating the force method model of the segment ring section according to the load distribution of the segment ring section, a force distribution diagram of the segment ring section of the prefabricated station is established according to the load distribution of the prefabricated station, such as Figure 2 shown.

[0056] Further, the vault in the segment ring section is obtained O Load at x 1. x 2, among which, x 1 is the top plate vault O The axial force at the location, x 2 is the top plate vault O Obtain the self-weight load of the prefabricated station q 1, among which, q 1= cA s ,c is the concrete bulk density, A s is the segment ring cross-sectional area of ​​the prefabricated station; obtain the base reaction force of the prefabricated station q 2, among which, q 2= q 1*( R 1* i 1+ h 2+ R 2* i 2) / ( R 1*sin( i 1)), h 1 is the cross-sectional height of the top plate, h 2 is the side wall section height, h 3 is the cross-sectional height of the bottom plate, i 1 is the arc of the top plate segment, i 2 is the arc of the bottom plate segment, is the curvature radius of the top plate, is the curvature radius of the bottom plate; define the joint connected to the top plate as the first joint, and the joint connected to the bottom plate as the second joint. Suppose the bending moments at the first joint and the second joint are M 1. M 2. The bending stiffnesses at the first joint and the second joint are K1 and K2 respectively.

[0057] Step S12, creating a force method model of the segment ring section according to the load distribution of the segment ring section, and obtaining the external force model of the segment ring section through the force method model and the relationship between the load on the top plate arch in the segment ring section and the bending stiffness at the joint.

[0058] Specifically, define the top plate vault O The direction of the bending moment at the segment is that the outer side of the segment ring section is tensile negative and the inner side is tensile positive. Then the force method model is:

[0059]

[0060] in, x 1 is the top plate vault O The axial force at the location, x 2 is the top plate vault O Bending moment at the location; d 11 For x Under the action of unit force in 1 direction, the top plate arches O along x 1. Displacement in direction; d 12 For x Under the action of unit force in two directions, the top plate arches O along x 1. Displacement in direction; d 21 For x Under the action of unit force in 1 direction, the top plate arches O along x Displacement in 2 directions; d 22 For x Under the action of unit force in two directions, the top plate arches O along x Displacement in 2 directions; D 1p For external load q 1. q 2, the top plate vaults O along x 1. Displacement in direction; D 2p For external load q 1.q 2, the top plate vaults O along x The angle generated in 1 direction, q 1 is the deadweight load of the prefabricated station, q 2 is the base reaction force of the prefabricated station.

[0061] Specifically, the relationship between the load on the top plate vault in the segment ring section and the bending stiffness at the joint is:

[0062]

[0063] in, x 1 is the top plate vault O The axial force at the location, x 2 is the top plate vault O K1 and K2 are the bending stiffnesses at the first joint and the second joint respectively.

[0064] Furthermore, the step of obtaining the external force model of the segment ring section by using the force method model and the relationship between the load on the top plate vault in the segment ring section and the bending stiffness at the joint includes:

[0065] Obtaining a total bending moment calculation model and a total axial force calculation model of the segment ring section under the external load, and obtaining an external force model of the segment ring section according to the total bending moment calculation model, the total axial force calculation model, and the relationship between the load on the top plate arch and the bending stiffness at the joint;

[0066] The total bending moment calculation model is:

[0067] The total shaft force calculation model is:

[0068] The external force model is

[0069] in, M q The deadweight load of the prefabricated station q 1 and base reaction q 2 The bending moment generated on any segment ring section, N q The deadweight load of the prefabricated station q 1 and base reaction q 2 Axial force generated on any segment ring section, M θ The deadweight load of the prefabricated station q 1 and base reaction force q 2 、 Top plate vault OAxial force at x 1 and top plate vault O Bending moment x 2 The sum of the bending moments generated in any segment ring section, N θ The deadweight load of the prefabricated station q 1 and base reaction force q 2 、 Top plate vault O Axial force at x 1 and top plate vault O Bending moment x 2 The sum of the axial forces generated in any segment ring section, M 1. M 2 are the bending moments at the first joint and the second joint, K1 and K2 are the bending stiffnesses at the first joint and the second joint, , Along x The bending moment and axial force generated by the unit force in the 1st direction on any segment ring section; , Along x The bending moment and axial force generated by unit forces in two directions on any segment ring section.

[0070] In the specific calculation process, according to the force distribution diagram of the segment ring section of the prefabricated station Figure 2 ,set up x 1, x 2 Action Points O As the origin of coordinates, establish a rectangular coordinate system (x, y), then , , , , and The calculation expression is:

[0071]

[0072] in, E is the elastic modulus of the material, I is the section moment of inertia.

[0073] In progress , , and In pursuit,

[0074] When 0< y < h 1 o'clock, x=R 1sin i , i ∈(0, i1);

[0075] h 1< y < h 1 +h 2 o'clock, x=R 1sin i 1, where i 1 is a fixed value;

[0076] h 1 +h 2< y < h hour, x=R 2sin i , i ∈(0, i 2).

[0077] Category discussion:

[0078] 0< y < h hour, , ;

[0079] 0< y < h 1 o'clock, , i ∈(0, i 1) (The direction of θ1 change is as follows Figure 2 shown);

[0080] h 1< y < h 1+ h 2 o'clock, ;

[0081] h 1 +h 2< y < h hour, , i ∈(0, i 2) (The direction of θ2 change is as follows Figure 2 shown);

[0082] 0< y < h hour, .

[0083] From this we can find:

[0084]

[0085]

[0086] f For Figure 2 The top plate and bottom plate shown in the figure have any cross-sectional angle, and the rotation direction is Figure 2 Already marked.

[0087] ∵

[0088] ∵

[0089] ∴0< y < h 1 o'clock, , i ∈(0, i 1)

[0090] h 1< y < h 1+ h 2 o'clock, ;

[0091] h 1 +h 2< y < h hour, , i ∈(0, i 2).

[0092] In progress and In the process of obtaining, the segment ring section force distribution diagram is divided into three sections according to the y value from small to large: h 1 The corresponding section (Section I), h 2 The corresponding section (Section II) and h 3 The corresponding sections (Section III) are respectively q 1 and base reaction q 2. Analyze the structural forces under the action of

[0093] Among them, the prefabricated station is under its own weight load. q 1 Structural stress analysis under the action of Figure 3 As shown in the figure, the stress conditions of each section are as follows:

[0094] Section I: ;

[0095] f For Figure 3 The top plate and bottom plate shown in the figure have any cross-sectional angle, and the rotation direction is Figure 3 Already marked.

[0096] Section II:

[0097] Section III: ;

[0098] Among them, the prefabricated station has a base reaction force q 2 Structural stress analysis under the action of Figure 4 As shown in the figure, the stress conditions of each section are as follows:

[0099] Section I~II: M q1 = N q1 =0;

[0100] Section III: ;

[0101] according to expression:

[0102]

[0103] Then we have:

[0104]

[0105] according to expression:

[0106]

[0107] Then there is,

[0108]

[0109] By

[0110] Solved , .

[0111] Solved

[0112] Will , , , , , Substitute the expression into the above formula x 1. x 2 can be obtained

[0113] .

[0114] ∵

[0115]

[0116] When 0< y < h 1 o'clock, , i ∈(0, i 1);

[0117] when h 1< y < h 1+ h 2 o'clock, ;

[0118] when h 1 +h 2< y < h hour, , i ∈(0, i 2);

[0119] So we can find:

[0120] .

[0121] Step S13, building a mechanical balance model of the inner surface of the joint in the segment ring section under different stress states, and obtaining an internal force model of the joint in the segment ring section according to the mechanical balance model.

[0122] The mechanical equilibrium model of the inner surface of the joint in the segment ring section under different stress states is:

[0123]

[0124] in, N is the axial force on the joint, M is the bending moment on the joint, is the tension of a single bolt, is the number of bolts in the joint, is the distance from the bolt to the outer surface of the segment ring section, is the joint section height, k is the joint compression stiffness, , are the concrete compressive stresses at the top and bottom of the joint edge, E is the elastic modulus of the material.

[0125] Further, according to the mechanical equilibrium model of the inner surface of the joint in the segment ring section under different stress states, the step of obtaining the internal force model of the joint in the segment ring section includes:

[0126] The mechanical equilibrium model is solved to obtain the rotational stiffness of the joint inner surface in the segment ring section under different stress states. K θ , , then the internal force model of the joint in the segment ring section is:

[0127]

[0128] in, M 1. M 2 are the bending moments at the first joint and the second joint respectively, N 1. N 2 are the axial forces at the first joint and the second joint, respectively; K1 and K2 are the bending stiffnesses at the first joint and the second joint, respectively.

[0129] In the specific calculation process,

[0130] When the joint is subjected to negative bending moment (tension on the outer surface and compression on the inner surface):

[0131] In the normal stress stage of the segment ring section, the joint is less affected by external load, and the entire section of the joint is under pressure. The stress diagram of the joint under the action of negative bending moment is as follows: Figure 5 At this time, the concrete resultant force in the compression zone can be divided into two parts, of which the resultant force in the rectangular part is , the resultant force of the remaining triangle is , from the joint force balance we can get:

[0132]

[0133] Where N is the axial force on the segment joint, is the tension of a single bolt, is the eccentricity of the internal force of the joint, , is the number of bolts in the segment joint, is the distance from the bolt to the outer surface of the segment, is the joint section height.

[0134] Resultant force of the rectangular part of the compression zone of the segment joint section And the triangle part They are:

[0135]

[0136] According to the deformation coordination relationship, the bolt strain when the entire cross section of the joint is under compression can be obtained: :

[0137]

[0138] The stress-strain relationship of concrete within the elastic range satisfies:

[0139]

[0140] In the formula, , is the concrete compressive strain at the joint section, is the elastic modulus of concrete.

[0141] According to the geometric coordination relationship of the bolt, we can get:

[0142]

[0143] Where: is the initial preload of the bolt, is the tensile force after the bolt is deformed, E b is the elastic modulus of the bolt, A b is the cross-sectional area of ​​the bolt, h is the section height, d is the distance between the bolt action point and the edge of the concrete, and its value is a constant.

[0144] definition E / L seg is the joint compression stiffness k , k is a constant 。 Then the section rotation formula and joint rotation stiffness formula can be expressed as:

[0145]

[0146]

[0147] By combining the above formulas, the mechanical equilibrium model of the inner surface of the joint in the segment ring section under different stress states is obtained:

[0148]

[0149] Calculation results:

[0150]

[0151]

[0152]

[0153]

[0154] in i is the bending angle value of the single-side joint surface, is the width of the joint section, k is the compressive stiffness of the joint.

[0155]

[0156] Solve in order from ① to ⑤ to obtain the rotational stiffness of the joint under the condition of negative bending moment (external surface tension, internal surface compression). Kth expression:

[0157] When the joint is subjected to positive bending moment (external surface is under tension, internal surface is under compression): the force diagram of the joint under positive bending moment is as follows: Figure 6 shown.

[0158] Similarly, list the following equations:

[0159]

[0160] Calculation results:

[0161]

[0162]

[0163]

[0164]

[0165] In the formula i is the bending angle value of the single-side joint surface, k is the compressive stiffness of the joint.

[0166]

[0167] Solve in order from ① to ⑤ to get the joint rotation stiffness K θ expression: .

[0168] Based on the above cross-sectional internal force analysis, the bending stiffness at each joint section is related to the internal force (bending moment) at the section. M i With axial force N i ) is shown in the following formula. In the formula, the stiffness expression of each joint is Each one corresponds to an analytical expression.

[0169]

[0170] The external force analysis of the segment ring section is carried out for joints 1 and 2. At this time, there are:

[0171]

[0172] The formula Substitution ), then:

[0173] .

[0174] Step S14, obtaining the bending stiffness value of each joint according to the external force model and the internal force model.

[0175] Specifically, the internal force model is introduced into the external force model to obtain , giving the first joint bending stiffness K 1 and the bending stiffness at the second joint K 2An initial value K 0 Perform iterative calculations to is the convergence criterion. K n , K n For the n sequence n +1 iteration calculation value. δ is a small value (for example, 10 -6 ), we can get K 1, K 2 values. Among them, the iterative calculation table of the bending stiffness value at the joints of the prefabricated subway station is shown in Table 1, and the iterative verification table of the bending stiffness value at the joints of the prefabricated subway station is shown in Table 2.

[0176] Table 1 Iterative calculation table of bending stiffness values ​​at joints of prefabricated subway stations

[0177]

[0178] It can be seen from this that the bending stiffness value of the joint of the prefabricated station is K 1=3.04e+10, K 2=5.26e+10. (Keep two significant figures after the decimal point)

[0179] In order to verify the accuracy of the iterative calculation, different initial values ​​are substituted for calculation, as shown in the following table: Table 2 Iterative calculation table of bending stiffness values ​​at joints of prefabricated subway stations

[0180]

[0181] It can be seen from this that the bending stiffness value of the joint of the prefabricated station is K 1=3.04e+10, K 2=5.26e+10. (Keep two significant figures after the decimal point)

[0182] The above-mentioned method for determining the bending stiffness of the joints of the prefabricated station first obtains the segment ring section of the prefabricated station, and the segment ring section is the section of the prefabricated station along the width direction of the top plate arch; creates a force method model of the segment ring section according to the load distribution of the segment ring section, and obtains the external force model of the segment ring section through the force method model and the relationship between the load on the top plate arch in the segment ring section and the bending stiffness at the joint; obtains the internal force model of the joint in the segment ring section according to the mechanical equilibrium model of the inner surface of the joint in the segment ring section under different stress states; obtains the bending stiffness value of each joint according to the external force model and the internal force model. Compared with the prior art, the present invention can accurately determine the bending stiffness of the joints of the prefabricated station, ensure the normal production of the station, and meet the actual application needs.

[0183] It should be understood that, although the various steps in the above-mentioned flow chart are displayed in sequence according to the indication of the arrows, these steps are not necessarily executed in sequence according to the order indicated by the arrows. Unless there is a clear explanation in this article, the execution of these steps is not strictly limited in order, and these steps can be executed in other orders. Moreover, at least a part of the steps in the above-mentioned flow chart may include a plurality of sub-steps or a plurality of stages, and these sub-steps or stages are not necessarily executed at the same time, but can be executed at different times, and the execution order of these sub-steps or stages is not necessarily to be carried out in sequence, but can be executed in turn or alternately with other steps or at least a part of the sub-steps or stages of other steps.

[0184] See also Figure 7 The present invention also provides a joint bending stiffness determination system for an assembled station, wherein the assembled station includes a top plate and a bottom plate arranged in parallel up and down, and two side wall plates arranged in parallel left and right, and the joints of the top plate and the bottom plate are respectively fixedly connected to the corresponding side wall plates by a bolt, and the system includes:

[0185] The segment data acquisition module 21 is used to acquire the segment ring section of the prefabricated station; wherein the segment ring section is the section of the prefabricated station along the width direction of the top plate vault;

[0186] The first model creation module 22 is used to create a force method model of the segment ring section according to the load distribution of the segment ring section, and obtain the external force model of the segment ring section through the force method model and the relationship between the load on the top plate vault in the segment ring section and the bending stiffness at the joint;

[0187] The second model creation module 23 is used to obtain the internal force model of the joint in the segment ring section according to the mechanical equilibrium model of the inner surface of the joint in the segment ring section under different stress states;

[0188] The bending stiffness calculation module 24 is used to build a mechanical equilibrium model of the inner surface of the joint in the segment ring section under different stress states, and obtain the internal force model of the joint in the segment ring section according to the mechanical equilibrium model.

[0189] The system for determining the bending stiffness of joints of prefabricated stations provided in an embodiment of the present invention first obtains the segment ring section of the prefabricated station, where the segment ring section is the section of the prefabricated station along the width direction of the top plate arch; creates a force method model of the segment ring section according to the load distribution of the segment ring section, and obtains the external force model of the segment ring section through the force method model and the relationship between the load on the top plate arch in the segment ring section and the bending stiffness at the joint; obtains the internal force model of the joint in the segment ring section according to the mechanical equilibrium model of the inner surface of the joint in the segment ring section under different stress states; obtains the bending stiffness value of each joint according to the external force model and the internal force model. Compared with the prior art, the present invention can accurately determine the bending stiffness of the joints of prefabricated stations, ensure the normal production of the station, and meet the actual application needs.

[0190] An embodiment of the present invention also provides a computer-readable storage medium, which includes a stored computer program; wherein, when the computer program is running, it controls the device where the computer-readable storage medium is located to execute the method for determining the bending stiffness of the joints of the prefabricated station as described above.

[0191] An embodiment of the present invention also provides a terminal device, which includes a processor, a memory, and a computer program stored in the memory and configured to be executed by the processor, and the processor implements the method for determining the bending stiffness of the joints of the prefabricated station as described above when executing the computer program.

[0192] Preferably, the computer program can be divided into one or more modules / units (such as computer program 1, computer program 2, ...), and the one or more modules / units are stored in the memory and executed by the processor to complete the present invention. The one or more modules / units can be a series of computer program instruction segments that can complete specific functions, and the instruction segments are used to describe the execution process of the computer program in the terminal device.

[0193] The processor may be a central processing unit (CPU), or other general-purpose processors, a digital signal processor (DSP), an application-specific integrated circuit (ASIC), a field-programmable gate array (FPGA) or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. The general-purpose processor may be a microprocessor, or the processor may be any conventional processor. The processor is the control center of the terminal device, and various parts of the terminal device are connected using various interfaces and lines.

[0194] The memory mainly includes a program storage area and a data storage area, wherein the program storage area can store an operating system, an application required for at least one function, etc., and the data storage area can store related data, etc. In addition, the memory can be a high-speed random access memory, or a non-volatile memory, such as a plug-in hard disk, a smart memory card (SmartMedia Card, SMC), a secure digital (Secure Digital, SD) card, and a flash card (Flash Card), etc., or the memory can also be other volatile solid-state storage devices.

[0195] It should be noted that the above-mentioned terminal device may include, but is not limited to, a processor and a memory. Those skilled in the art may understand that the terminal device may also include more or fewer components than the above-mentioned, or a combination of certain components, or different components.

[0196] The above is only a preferred embodiment of the present invention. It should be pointed out that for ordinary technicians in this technical field, several improvements and modifications can be made without departing from the technical principles of the present invention. These improvements and modifications should also be regarded as the scope of protection of the present invention.

Claims

1. A method for determining the bending stiffness of a joint of an assembled station, wherein: The assembled station comprises a top plate and a bottom plate arranged in parallel up and down, and two side wall plates arranged in parallel left and right, and the joints of the top plate and the bottom plate are respectively fixedly connected to the corresponding side wall plates by a bolt, and is characterized in that the method comprises the following steps: Obtaining the segment ring cross section of the prefabricated station; wherein the segment ring cross section is the cross section of the prefabricated station along the width direction of the top plate arch; A force method model of the segment ring section is created according to the load distribution of the segment ring section, and an external force model of the segment ring section is obtained through the force method model and the relationship between the load on the top plate vault in the segment ring section and the bending stiffness at the joint; Building a mechanical balance model of the inner surface of the joint in the segment ring section under different stress states, and obtaining an internal force model of the joint in the segment ring section according to the mechanical balance model; According to the external force model and the internal force model, the bending stiffness value of each joint is obtained; The steps of obtaining the external force model of the segment ring section by using the force method model and the relationship between the load on the top plate vault in the segment ring section and the bending stiffness at the joint include: Obtaining a total bending moment calculation model and a total axial force calculation model of the segment ring section under the external load, and obtaining an external force model of the segment ring section according to the total bending moment calculation model, the total axial force calculation model, and the relationship between the load on the top plate arch and the bending stiffness at the joint; The total bending moment calculation model is: The total shaft force calculation model is: The external force model is Among them, M q is the bending moment caused by the self-weight load q1 of the prefabricated station and the base reaction force q2 on any segment ring section, N q M is the axial force generated by the self-weight load q1 of the prefabricated station and the base reaction force q2 on any segment ring section, θ It is the sum of the self-weight load q1 and the base reaction force q2 of the prefabricated station, the axial force x1 at the top plate arch O, and the bending moment x2 at the top plate arch O generated at any segment ring section, N θ It is the sum of the axial forces generated by the self-weight load q1 and the base reaction force q2 of the prefabricated station, the axial force x1 at the top plate arch O, and the bending moment x2 at the top plate arch O in any segment ring section. are the bending moment and axial force generated by the unit force along the x1 direction on any segment ring section; are the bending moment and axial force generated by the unit force along the x2 direction on any segment ring section; The mechanical equilibrium model of the inner surface of the joint in the segment ring section under different stress states is: Where N is the axial force on the joint, M is the bending moment on the joint, and T b is the tensile force of a single bolt, n is the number of bolts in the joint, d is the distance from the bolt to the outer surface of the segment ring section, h is the joint section height, k is the joint compression stiffness, σ′ c , σ c are the concrete compressive stress at the top and bottom of the joint edge, E is the elastic modulus of the material, b is the width of the joint section, θ is the bending angle of the single-sided joint surface, and K θ is the joint rotational stiffness.

2. The method for determining the bending stiffness of the joint of the prefabricated station according to claim 1 is characterized in that: Before creating the force method model of the segment ring section according to the load distribution of the segment ring section, the method further includes: Obtain loads x1 and x2 at the dome O in the segment ring section, wherein x1 is the axial force at the dome O of the top plate, and x2 is the bending moment at the dome O of the top plate; Obtain the deadweight load q1 of the prefabricated station, where q1 = γA s , γ is the concrete density, A s is the cross-sectional area of ​​the segment ring of the prefabricated station; Obtain the base reaction force q2 of the prefabricated station, where q2 = q1*(R1*θ1+h2+R2*θ2) / (R1*sin(θ1)), h1 is the cross-sectional height of the top plate, h2 is the cross-sectional height of the side wall plate, h3 is the cross-sectional height of the bottom plate, θ1 is the arc of the top plate, θ2 is the arc of the bottom plate, R1 is the curvature radius of the top plate, and R2 is the curvature radius of the bottom plate; Define the joint connected to the top plate as the first joint, and the joint connected to the bottom plate as the second joint. Suppose the bending moments at the first joint and the second joint are M1 and M2 respectively, and the bending stiffnesses at the first joint and the second joint are K1 and K2 respectively.

3. The method for determining the bending stiffness of the joint of the prefabricated station according to claim 2 is characterized in that: The force method model is: The relationship between the load on the top plate vault in the segment ring section and the bending stiffness at the joint is: Among them, δ 11 is the displacement of the top plate vault O along the x1 direction under the action of the unit force in the x1 direction; δ 12 is the displacement of the top plate vault O along the x1 direction under the action of the unit force in the x2 direction; δ 21 is the displacement of the top plate vault O along the x2 direction under the action of the unit force in the x1 direction; δ 22 is the displacement of the top plate vault O along the x2 direction under the action of the unit force in the x2 direction; Δ 1p is the displacement of the top plate vault O along the x1 direction under the external loads q1 and q2; Δ 2p is the rotation angle of the top plate arch O along the x1 direction under the action of external loads q1 and q2, q1 is the deadweight load of the prefabricated station, and q2 is the base reaction force of the prefabricated station.

4. The method for determining the bending stiffness of the joint of the prefabricated station according to claim 1 is characterized in that: The step of obtaining the internal force model of the joint in the segment ring section according to the mechanical equilibrium model of the inner surface of the joint in the segment ring section under different stress states comprises: The mechanical equilibrium model is solved to obtain the joint rotation stiffness K of the inner surface of the joint in the segment ring section under different stress states. θ , K θ =f(M,N), then the internal force model of the joint in the segment ring section is: Wherein, N1 and N2 are the axial forces on the first joint and the second joint respectively.

5. The method for determining the bending stiffness of the joint of the prefabricated station according to claim 4 is characterized in that: According to the external force model and the internal force model, the step of obtaining the bending stiffness value of each joint includes: Substituting the internal force model into the external force model, we can obtain Assign an initial value K to the bending stiffness K1 at the first joint and the bending stiffness K2 at the second joint 0 , with Δ(K n , K n+1 )<δ is the convergence standard, and iterative calculation is performed to obtain the bending stiffness value of each joint in the prefabricated station, where δ is a preset value.

6. A system for determining the bending stiffness of joints of an assembled station, characterized in that: A method for determining the bending stiffness of a joint of an assembled station according to any one of claims 1 to 5, wherein the assembled station comprises a top plate and a bottom plate arranged in parallel up and down, and two side wall plates arranged in parallel left and right, and the joints of the top plate and the bottom plate are respectively fixedly connected to the corresponding side wall plates by a bolt, and the system comprises: The segment data acquisition module is used to acquire the segment ring section of the prefabricated station; wherein the segment ring section is the section of the prefabricated station along the width direction of the top plate vault; A first model creation module is used to create a force method model of the segment ring section according to the load distribution of the segment ring section, and obtain an external force model of the segment ring section through the force method model and the relationship between the load on the top plate vault in the segment ring section and the bending stiffness at the joint; The second model creation module is used to build a mechanical equilibrium model of the inner surface of the joint in the segment ring section under different stress states, and obtain an internal force model of the joint in the segment ring section according to the mechanical equilibrium model; A bending stiffness calculation module, used to obtain the bending stiffness value of each joint according to the external force model and the internal force model; The steps of obtaining the external force model of the segment ring section by using the force method model and the relationship between the load on the top plate vault in the segment ring section and the bending stiffness at the joint include: Obtaining a total bending moment calculation model and a total axial force calculation model of the segment ring section under the external load, and obtaining an external force model of the segment ring section according to the total bending moment calculation model, the total axial force calculation model, and the relationship between the load on the top plate arch and the bending stiffness at the joint; The total bending moment calculation model is: The total shaft force calculation model is: The external force model is Among them, M q is the bending moment caused by the self-weight load q1 of the prefabricated station and the base reaction force q2 on any segment ring section, N q M is the axial force generated by the self-weight load q1 of the prefabricated station and the base reaction force q2 on any segment ring section, θ It is the sum of the self-weight load q1 and the base reaction force q2 of the prefabricated station, the axial force x1 at the top plate arch O, and the bending moment x2 at the top plate arch O generated at any segment ring section, N θ It is the sum of the axial forces generated by the self-weight load q1 and the base reaction force q2 of the prefabricated station, the axial force x1 at the top plate arch O, and the bending moment x2 at the top plate arch O in any segment ring section. are the bending moment and axial force generated by the unit force along the x1 direction on any segment ring section; are the bending moment and axial force generated by the unit force along the x2 direction on any segment ring section; The mechanical equilibrium model of the inner surface of the joint in the segment ring section under different stress states is: Where N is the axial force on the joint, M is the bending moment on the joint, and T b is the tensile force of a single bolt, n is the number of bolts in the joint, d is the distance from the bolt to the outer surface of the segment ring section, h is the joint section height, k is the joint compression stiffness, σ' c , σ c are the concrete compressive stress at the top and bottom of the joint edge, E is the elastic modulus of the material, b is the width of the joint section, θ is the bending angle of the single-sided joint surface, and K θ is the joint rotational stiffness.

7. A computer-readable storage medium, characterized in that: The computer-readable storage medium includes a stored computer program; wherein, when the computer program is run, it controls the device where the computer-readable storage medium is located to execute the method for determining the bending stiffness of the joint of the prefabricated station as described in any one of claims 1 to 5.

8. A terminal device, comprising a processor, a memory, and a computer program stored in the memory and configured to be executed by the processor, wherein the processor implements the method for determining the bending stiffness of the joints of the prefabricated station as described in any one of claims 1 to 5 when executing the computer program.

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