Spring stiffness calculation method, device, equipment and medium for side plate reinforced joint

Abstract

The present invention provides a method, device, equipment and medium for the spring stiffness of a side plate reinforced node. The method comprises: determining a macroscopic mechanical model of a target node based on a component method; wherein the target node is a side plate reinforced beam-column connection node, and the macroscopic mechanical model includes a cover plate and a side plate; setting equivalent springs corresponding to various parts of the target node based on the deformation coordination principle; wherein the equivalent springs corresponding to the cover plate and the side plate parts are a first spring and a second spring connected in series, the first spring represents the force contribution of the cover plate without the side plate part, and the second spring represents the force contribution of the cover plate with the side plate part; for each part, the stiffness of the equivalent spring corresponding to the part is determined based on the structural parameters and elastic modulus of the part. The present invention can accurately represent the force contribution of the side plate and the cover plate part in the side plate reinforced beam-column connection node, which is convenient for the analysis of the anti-continuous collapse performance of the steel tube concrete composite column frame.

Description

Technical Field

[0001] The invention relates to the technical field of structural anti-collapse, and in particular to a spring stiffness calculation method, device, equipment and medium for a side plate reinforced node. Background Art

[0002] Although traditional steel structure beam-column connection nodes have certain seismic resistance and sufficient bearing capacity, there are many restrictions on their application in steel structure residential systems. Therefore, side plate reinforced beam-column connection nodes are widely used in high-rise prefabricated steel structure residential buildings.

[0003] In order to analyze the progressive collapse resistance of steel tube concrete composite column frame structure system, it is usually necessary to analyze the stress conditions of beam-column connection nodes used in steel tube concrete composite column frame structure system. At present, the macroscopic mechanical model of beam-column connection node is usually constructed, and the equivalent spring stiffness of the macroscopic mechanical model is derived. However, the internal stress conditions of the side plate reinforced beam-column connection node are complex. The equivalent spring stiffness of the side plate reinforced beam-column connection node is determined by the current equivalent spring stiffness derivation method, and the calculation process is complicated and the accuracy is not high. Summary of the invention

[0004] The embodiments of the present invention provide a method, device, equipment and medium for calculating the spring stiffness of a side plate reinforced node, so as to solve the problem that the calculation method of the equivalent spring stiffness of the side plate reinforced beam-column connection node is complex and has low accuracy.

[0005] In a first aspect, an embodiment of the present invention provides a method for calculating the spring stiffness of a side plate reinforced node, comprising:

[0006] The macroscopic mechanical model of the target node is determined based on the component method; wherein the target node is a side plate reinforced beam-column connection node, and the macroscopic mechanical model includes the cover plate and the side plate;

[0007] The equivalent springs corresponding to the various parts of the target node are set based on the deformation coordination principle; wherein the equivalent springs corresponding to the cover plate and the side plate parts are the first spring and the second spring connected in series, the first spring represents the force contribution of the cover plate without the side plate part, and the second spring represents the force contribution of the cover plate with the side plate part;

[0008] For each part, the stiffness of the equivalent spring corresponding to the part is determined based on the structural parameters and elastic modulus of the part.

[0009] In a possible implementation, the stiffness of the equivalent springs corresponding to the cover plate and the side plate is:

[0010]

[0011] Among them, K bf is the stiffness of the axial deformation spring, KI is the stiffness of the first spring, K II is the stiffness of the second spring.

[0012] In a possible implementation, if the target node is a flat flange side plate reinforced beam-column node, an arc expansion plate side plate reinforced beam-column connection node, or a slotted side plate reinforced connection beam-column node, the stiffness of the first spring is:

[0013]

[0014] Among them, K I is the stiffness of the first spring, I1 is the moment of inertia of the cover section around the center of the steel beam flange, A cp is the cover area, E s is the elastic modulus of steel, l cp is the cover length, l vs is the length of the side panel, t cp is the cover plate thickness, t bf is the thickness of the steel beam flange.

[0015] In a possible implementation, if the target node is a conventional side plate reinforced beam-column connection node, the stiffness of the first spring is:

[0016]

[0017] Among them, K I is the stiffness of the first spring, E s is the elastic modulus of steel, A cp is the cover area, l cp is the cover length, l vs is the length of the side panel.

[0018] In a possible implementation, the stiffness of the second spring is:

[0019]

[0020] Among them, K II is the stiffness of the second spring, E s is the elastic modulus of steel, A cp is the cover area, A vs is the area of ​​the side plate, I2 is the moment of inertia of the cover plate section to the centroid of the combined section of the cover plate and the two side plates, l vs is the length of the side panel, and a is the distance between the cover plate and the centroid of the combined section of the cover plate and the two side panels.

[0021] In a possible implementation, the macroscopic mechanical model also includes a beam web, and the equivalent spring corresponding to the beam web is a shear deformation spring; the stiffness of the shear deformation spring is:

[0022]

[0023] Among them, K web is the stiffness of the shear deformation spring, k is the hole coefficient of the friction type high-strength bolt connection, n f is the number of force transmission friction surfaces, μ is the anti-slip coefficient, P is the pre-tension design value of the friction type high-strength bolt, and d is the relative displacement of the friction type high-strength bolt in the friction bearing stage.

[0024] In a possible implementation, the macroscopic mechanical model also includes a core area, and the equivalent spring corresponding to the core area is an oblique axial deformation spring; the stiffness of the oblique axial deformation spring is:

[0025]

[0026] Among them, K pz is the stiffness of the oblique axial deformation spring, B c is the core area width, t c is the thickness of the steel pipe, h b is the height of the steel beam, t cp is the thickness of the cover plate, l1 is the distance from the upper side of the node core area to the inflection point of the upper column, l2 is the distance from the upper side of the node core area to the inflection point of the lower column, E c is the composite elastic modulus of the steel tube concrete composite column coplanar with the steel beam, I c is the combined inertia moment of the steel tube concrete composite column coplanar with the steel beam, G c is the composite shear modulus of the steel tube concrete composite column coplanar with the steel beam, A c It is the composite area of ​​the steel tube concrete composite column coplanar with the steel beam.

[0027] In a second aspect, an embodiment of the present invention provides a spring stiffness calculation device for a side plate reinforced node, comprising:

[0028] A model determination module is used to determine the macroscopic mechanical model of the target node based on the component method; wherein the target node is a side plate reinforced beam-column connection node, and the macroscopic mechanical model includes a cover plate and a side plate;

[0029] The spring equivalent module is used to set the equivalent springs corresponding to each part of the target node based on the deformation coordination principle; wherein the equivalent springs corresponding to the cover plate and the side plate part are the first spring and the second spring connected in series, the first spring represents the force contribution of the cover plate without the side plate part, and the second spring represents the force contribution of the cover plate with the side plate part;

[0030] The stiffness calculation module is used to determine the stiffness of the equivalent spring corresponding to each part based on the structural parameters and elastic modulus of the part.

[0031] In a third aspect, an embodiment of the present invention provides an electronic device, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the computer program, the processor implements the steps of the method described in the first aspect or any possible implementation manner of the first aspect.

[0032] In a fourth aspect, an embodiment of the present invention provides a computer-readable storage medium, wherein the computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, the steps of the method described in the first aspect or any possible implementation method of the first aspect are implemented.

[0033] The embodiment of the present invention provides a method, device, equipment and medium for calculating the spring stiffness of a side panel reinforced node. A macroscopic mechanical model is constructed for the side panel reinforced beam-column connection node, equivalent springs are set for each part of the node, and the stiffness of each equivalent spring is determined through structural parameters. Specifically for the complex force relationship of the side panel and the cover plate, two equivalent springs in series are used to represent the two force contributions of the side panel and the cover plate according to the contact position of the side panel and the cover plate, and then the stiffness of the two equivalent springs are integrated. The calculation process is simple and can accurately represent the force contribution of the side panel and the cover plate in the side panel reinforced beam-column connection node, which is convenient for analyzing the anti-continuous collapse performance of the steel tube concrete composite column frame. BRIEF DESCRIPTION OF THE DRAWINGS

[0034] In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative labor.

[0035] Figure 1 It is a flow chart of the implementation of a method for calculating the spring stiffness of a side plate reinforced node provided by an embodiment of the present invention;

[0036] Figure 2 It is a flow chart of the implementation of a method for calculating the spring stiffness of a side plate reinforced node provided by an embodiment of the present invention;

[0037] Figure 3A It is a structural force diagram of a traditional side plate reinforced connecting beam-column node provided by an embodiment of the present invention;

[0038] Figure 3B It is a structural force diagram of a circular arc expansion plate type side plate reinforced beam-column connection node provided by an embodiment of the present invention;

[0039] Figure 3CIt is a structural force diagram of a slotted side plate reinforced connecting beam-column node provided by an embodiment of the present invention;

[0040] Figure 3D It is a structural force diagram of a flat flange side plate reinforced beam-column node provided by an embodiment of the present invention;

[0041] Figure 3E It is a schematic diagram of an equivalent spring of a conventional side plate reinforced connecting beam-column node provided by an embodiment of the present invention;

[0042] Figure 3F It is a schematic diagram of an equivalent spring of a circular arc expansion plate type side plate reinforced beam-column connection node provided by an embodiment of the present invention;

[0043] Figure 3G It is a schematic diagram of an equivalent spring of a slotted side plate reinforced connecting beam-column node provided by an embodiment of the present invention;

[0044] Figure 3H It is a schematic diagram of an equivalent spring of a flat flange side plate reinforced beam-column node provided by an embodiment of the present invention;

[0045] Figure 4 is a schematic diagram of a node domain spring deformation provided by an embodiment of the present invention;

[0046] Figure 5 It is a schematic diagram of the stress and deformation of the core area of ​​the frame column node provided by an embodiment of the present invention;

[0047] Figure 6 It is a structural schematic diagram of a spring stiffness calculation device for a side plate reinforced node provided by an embodiment of the present invention;

[0048] Figure 7 It is a schematic diagram of an electronic device provided by an embodiment of the present invention. DETAILED DESCRIPTION

[0049] In the following description, specific details such as specific system structures, technologies, etc. are provided for the purpose of illustration rather than limitation, so as to provide a thorough understanding of the embodiments of the present invention. However, it should be clear to those skilled in the art that the present invention may be implemented in other embodiments without these specific details. In other cases, detailed descriptions of well-known systems, devices, circuits, and methods are omitted to prevent unnecessary details from obstructing the description of the present invention.

[0050] In order to make the purpose, technical solutions and advantages of the present invention more clear, specific embodiments will be described below in conjunction with the accompanying drawings.

[0051] For ordinary steel structure frame design, generally only related beam-column units are constructed, and the beams and columns are directly connected by rigid connection or hinged connection, without considering the deformation of the core area of ​​the node and the characteristics of the connection structure. However, the deformation capacity of the core area of ​​the beam-column node, the formation of plastic hinges, and possible fracture damage will lead to a gap between the structural model calculation and the actual performance of the structure.

[0052] See also Figure 1 , which shows a flow chart of the implementation of the method for calculating the spring stiffness of the side plate reinforced node provided by an embodiment of the present invention, and is described in detail as follows:

[0053] Step 101, determining a macroscopic mechanical model of a target node based on a component method; wherein the target node is a side panel reinforced beam-column connection node, and the macroscopic mechanical model includes a cover plate and a side panel.

[0054] In this embodiment, the side plate reinforced node can be regarded as composed of the node core area and the connection structure, where the core area represents the overlapping area of ​​the beam and column, and the connection structure represents the connection form between the core area and the beam and column. The side plate reinforced beam-column connection node can be divided into flat flange side plate reinforced beam-column node, traditional side plate reinforced connection beam-column node, arc expansion plate side plate reinforced beam-column connection node and slotted side plate reinforced connection beam-column node. In this embodiment, the idea of ​​component method is adopted to discretize the node into multiple component units, and the Figure 2 The macroscopic mechanical model of the flat flange side plate reinforced beam-column node shown in the figure establishes a practical calculation method for the spring stiffness of each part of the flat flange side plate reinforced connection node, and the spring stiffness of each part of the macroscopic mechanical model of the traditional side plate reinforced connection beam-column node, arc expansion plate side plate reinforced beam-column connection node, and slotted side plate reinforced connection beam-column node are introduced in this way, realizing the efficient analysis of the progressive collapse resistance of the steel tube concrete composite column frame structure system considering the node performance. This scheme is applied to the progressive collapse resistance analysis of the steel tube concrete composite column frame.

[0055] Step 102, setting the equivalent springs corresponding to the various parts of the target node based on the deformation coordination principle; wherein the equivalent springs corresponding to the cover plate and the side plate parts are a first spring and a second spring connected in series, the first spring represents the force contribution of the cover plate without the side plate part, and the second spring represents the force contribution of the cover plate with the side plate part.

[0056] In this embodiment, the establishment of the macro model of the node requires the derivation of three different types of spring stiffness constitutive models (S bf , S web and S pz ). Axial deformation spring S bf Simulate the contribution of the upper and lower flange covers and side plates to the bending moment, and the shear deformation spring S web To simulate the shear contribution of the beam web region, an inclined axial spring Spz Simulate the shear contribution in the core area of ​​the beam-column joint.

[0057] Spring S bf It can also be simplified into the first spring and the second spring in series. For the side plate and cover plate, according to the different connection methods of the side plate and the cover plate in the node, the part where the cover plate contacts the side plate and the part where the cover plate does not contact the side plate are analyzed separately. The structural stress conditions of the side plate and the cover plate in the four nodes are as follows: Figure 3A-3D As shown in the figure, the equivalent springs corresponding to the side plates and cover plates in the four types of nodes are Figure 3E-3H shown.

[0058] Step 103: for each part, determine the stiffness of the equivalent spring corresponding to the part based on the structural parameters and elastic modulus of the part.

[0059] In this embodiment, based on the structural parameters and elastic modulus of each part, a virtual tension is applied to each part and a force analysis is performed. Then, the virtual tension is removed by calculating the equivalent spring stiffness, so that the anti-continuous collapse performance of each part can be described.

[0060] The embodiment of the present invention constructs a macroscopic mechanical model for the side panel reinforced beam-column connection node, sets equivalent springs for each part of the node, determines the stiffness of each equivalent spring through structural parameters, and specifically targets the complex force relationship part of the side panel and the cover plate. According to the contact position of the side panel and the cover plate, two series-connected equivalent springs are used to represent the two force contributions of the side panel and the cover plate, and then the stiffnesses of the two equivalent springs are integrated. The calculation process is simple and can accurately represent the force contribution of the side panel and the cover plate in the side panel reinforced beam-column connection node, simulate various force conditions in actual conditions, and facilitate the analysis of the anti-continuous collapse performance of the steel tube concrete composite column frame.

[0061] In a possible implementation, the stiffness of the equivalent springs corresponding to the cover plate and the side plate is:

[0062]

[0063] Among them, K bf is the stiffness of the axial deformation spring, K I is the stiffness of the first spring, K II is the stiffness of the second spring.

[0064] In this embodiment, the first spring and the second spring are equivalent to series springs, and the equivalent springs corresponding to the cover plate and the side plate can be obtained according to the stiffness of the first spring and the second spring after being connected in series.

[0065] In a possible implementation, if the target node is a flat flange side plate reinforced beam-column node, an arc expansion plate side plate reinforced beam-column connection node, or a slotted side plate reinforced connection beam-column node, the stiffness of the first spring is:

[0066]

[0067] Among them, K I is the stiffness of the first spring, I1 is the moment of inertia of the cover section around the center of the steel beam flange, A cp is the cover area, E s is the elastic modulus of steel, l cp is the cover length, l vs is the length of the side panel, t cp is the cover plate thickness, t bf is the thickness of the steel beam flange.

[0068] In this embodiment, in addition to being subjected to tensile force or compressive force, component I in other connection nodes is also in a state of tension or compression bending. One part of the deformation is caused by the force F acting in the axial direction, and the other part is caused by the bending deformation caused by the equivalent bending moment of F in the axial direction of the cover plate. Therefore, the calculation formula is as follows:

[0069]

[0070] Among them, F is the tensile force transmitted from the steel beam flange to the cover plate, E s is the elastic modulus of steel, t cp , A cp , l cp are the thickness, area and length of the cover plate respectively, l vs is the length of the side panel, t bf is the thickness of the steel beam flange, and I1 is the moment of inertia of the cover section around the center of the steel beam flange.

[0071] By equating the deformation of the cover plate at the above calculation node to the deformation of the spring, the first part of the spring stiffness K can be derived: I :

[0072]

[0073] In a possible implementation, if the target node is a conventional side plate reinforced beam-column connection node, the stiffness of the first spring is:

[0074]

[0075] Among them, K I is the stiffness of the first spring, E s is the elastic modulus of steel, A cp is the cover area, l cp is the cover length, lvs is the length of the side panel.

[0076] In this embodiment, the first spring in the conventional side plate reinforced connecting beam-column node is only subjected to tensile force or compressive force, according to Hooke's law as follows:

[0077]

[0078] Among them, Δl I represents the amount of elongation or compression, F represents the force applied to the rod, L represents the original length of the rod, E represents the elastic modulus, and A represents the cross-sectional area of ​​the rod.

[0079] According to Hooke's law, the deformation calculation formula of the traditional side plate reinforced connection beam-column node cover plate can be obtained:

[0080]

[0081] Among them, F is the tensile force transmitted from the steel beam flange to the cover plate, E s is the elastic modulus of steel, A cp and l cp are the area and length of the cover respectively, l vs is the length of the side panel.

[0082] In a possible implementation, the stiffness of the second spring is:

[0083]

[0084] Among them, K II is the stiffness of the second spring, E s is the elastic modulus of steel, A cp is the cover area, A vs is the area of ​​the side plate, I2 is the moment of inertia of the cover plate section to the centroid of the combined section of the cover plate and the two side plates, l vs is the length of the side panel, and a is the distance between the cover plate and the centroid of the combined section of the cover plate and the two side panels.

[0085] In this embodiment, a part of the elongation of the second part of the side plate and the cover plate combined at the centroid position of the cover plate is caused by the deformation caused by the force F acting in the axial direction, and the other part is caused by the bending deformation caused by the bending moment equivalent to the force F. The elongation of the second part of the side plate and the cover plate combined at the centroid position of the cover plate can be calculated according to the following formula:

[0086]

[0087] Among them, A vs are the areas of the side panels respectively, a is the distance between the cover plate and the centroid of the combined cross-section of the cover plate and the two side panels, and I2 is the moment of inertia of the cover plate cross-section about the centroid of the combined cross-section of the cover plate and the two side panels.

[0088] The elongation of the second part of the side plate and the cover plate combined at the centroid of the cover plate is equivalent to the elongation of the second part of the spring, and the spring stiffness K of the second part is calculated. II , then according to the following formula, the spring stiffness K of the second part is calculated II :

[0089]

[0090] In a possible implementation, the macroscopic mechanical model also includes a beam web, and the equivalent spring corresponding to the beam web is a shear deformation spring; the stiffness of the shear deformation spring is:

[0091]

[0092] Among them, K web is the stiffness of the shear deformation spring, k is the hole coefficient of the friction type high-strength bolt connection, n f is the number of force transmission friction surfaces, μ is the anti-slip coefficient, P is the pre-tension design value of the friction type high-strength bolt, and d is the relative displacement of the friction type high-strength bolt in the friction bearing stage.

[0093] In this embodiment, for the web shear spring K web Its stiffness is usually controlled by 6 friction-type high-strength bolts. The effect of the six friction-type high-strength bolts at the node is equivalent to the shear deformation spring S2 in the macro model. The shear bearing capacity of the six high-strength bolts connected to the web is equivalent to the axial force on the spring. The relative displacement of the friction-type high-strength bolts during the friction process is equivalent to the deformation of the spring. Then the web shear spring K is calculated. web The shear bearing capacity of the six high-strength bolts connected to the web can be calculated according to the following formula:

[0094] V=6kn f μP

[0095] Among them, k is the hole coefficient of the friction type bolt connection of high-strength bolts, for the standard hole k = 1, μ is the anti-slip coefficient, here μ is taken as 0.35, n f is the number of force transmission friction surfaces.

[0096] The relative displacement (d) of the friction type high-strength bolts in the friction bearing stage is generally not more than 0.2mm, and the shear force at the shear plate position during the test is less than the shear bearing capacity of the 6 high-strength bolt model connection. If the shear force at the shear plate position is less than the web shear spring K web The stiffness can be calculated according to the following formula:

[0097]

[0098] In a possible implementation, the macroscopic mechanical model also includes a core area, and the equivalent spring corresponding to the core area is an oblique axial deformation spring; the stiffness of the oblique axial deformation spring is:

[0099]

[0100] Among them, K pz is the stiffness of the oblique axial deformation spring, B c is the core area width, t c is the thickness of the steel pipe, h b is the height of the steel beam, t cp is the thickness of the cover plate, l1 is the distance from the upper side of the node core area to the inflection point of the upper column, l2 is the distance from the upper side of the node core area to the inflection point of the lower column, E c is the composite elastic modulus of the steel tube concrete composite column coplanar with the steel beam, I c is the combined inertia moment of the steel tube concrete composite column coplanar with the steel beam, G c is the composite shear modulus of the steel tube concrete composite column coplanar with the steel beam, A c It is the composite area of ​​the steel tube concrete composite column coplanar with the steel beam.

[0101] In this embodiment, the schematic diagram of the node domain spring after deformation is as follows: Figure 4 As shown in Figure 2, the displacement of the upper and lower flanges in the core area of ​​the node is caused by the superposition of bending deformation and shear deformation, as shown in Figure 2. Figure 5 As shown. c The superimposed displacement caused by the bending moment and shear force at the upper and lower flange positions is equivalent to the deformation of the macro model spring through a certain angle calculation. The external load F c The angle is converted into the equivalent force along the spring direction, and finally the spring stiffness of the node domain can be obtained by calculation.

[0102] By F c The displacement caused by the bending moment at the upper and lower flange positions can be obtained by graphical multiplication and calculated using the following formula:

[0103]

[0104] Among them, l1 and l2 are the distances from the upper side of the node core area to the inflection points of the upper column and the lower column, respectively. c , I c are the combined elastic modulus and moment of inertia of the steel tube concrete composite column coplanar with the steel beam. c The displacements caused by the shear force at the upper and lower flanges can also be obtained by the graphical multiplication method and calculated using the following formula:

[0105]

[0106] Among them, G c , A c are the combined shear modulus and area of ​​the steel tube concrete composite column coplanar with the steel beam, respectively.

[0107] The angle between the node domain deformation spring and the horizontal line in the initial state can be calculated by the following formula:

[0108]

[0109] External load F c Under the action, the spring extension is 2Δl cosθ, and the applied spring load is The node domain spring stiffness can be calculated by the following formula:

[0110]

[0111] Substituting the above two displacements into the calculation formula of the node domain spring stiffness, the stiffness of the node domain spring can be obtained as shown in the following formula: b

[0112]

[0113] In a specific embodiment, the above method is used to calculate the spring stiffness of each part of a beam-column node, and the results are shown in Table 1.

[0114] Table 1

[0115]

[0116] It should be understood that the order of execution of the steps in the above embodiment does not necessarily mean the order of execution. The execution order of each process should be determined by its function and internal logic, and should not constitute any limitation on the implementation process of the embodiment of the present invention.

[0117] The following is an embodiment of the device of the present invention. For details not described in detail therein, reference may be made to the corresponding method embodiment described above.

[0118] Figure 6 The schematic diagram of the structure of the spring stiffness calculation device of the side plate reinforced node provided by the embodiment of the present invention is shown. For the convenience of description, only the part related to the embodiment of the present invention is shown, which is described in detail as follows:

[0119] like Figure 6 As shown, the spring stiffness calculation device 6 of the side plate reinforced node includes:

[0120] A model determination module 61 is used to determine a macroscopic mechanical model of a target node based on a component method; wherein the target node is a side plate reinforced beam-column connection node, and the macroscopic mechanical model includes a cover plate and a side plate;

[0121] The spring equivalent module 62 is used to set the equivalent springs corresponding to each part of the target node based on the deformation coordination principle; wherein the equivalent springs corresponding to the cover plate and the side plate part are the first spring and the second spring connected in series, the first spring represents the force contribution of the cover plate without the side plate part, and the second spring represents the force contribution of the cover plate with the side plate part;

[0122] The stiffness calculation module 63 is used to determine the stiffness of the equivalent spring corresponding to each part based on the structural parameters and elastic modulus of the part.

[0123] In a possible implementation, the stiffness of the equivalent springs corresponding to the cover plate and the side plate is:

[0124]

[0125] Among them, K bf is the stiffness of the axial deformation spring, K I is the stiffness of the first spring, K II is the stiffness of the second spring.

[0126] In a possible implementation, if the target node is a flat flange side plate reinforced beam-column node, an arc expansion plate side plate reinforced beam-column connection node, or a slotted side plate reinforced connection beam-column node, the stiffness of the first spring is:

[0127]

[0128] Among them, K I is the stiffness of the first spring, I1 is the moment of inertia of the cover section around the center of the steel beam flange, A cp is the cover area, E s is the elastic modulus of steel, l cp is the cover length, l vs is the length of the side panel, t cp is the cover plate thickness, t bf is the thickness of the steel beam flange.

[0129] In a possible implementation, if the target node is a conventional side plate reinforced beam-column connection node, the stiffness of the first spring is:

[0130]

[0131] Among them, K I is the stiffness of the first spring, E s is the elastic modulus of steel, A cp is the cover area, l cp is the cover length, l vs is the length of the side panel.

[0132] In a possible implementation, the stiffness of the second spring is:

[0133]

[0134] Among them, K II is the stiffness of the second spring, E s is the elastic modulus of steel, A cp is the cover area, A vs is the area of ​​the side plate, I2 is the moment of inertia of the cover plate section to the centroid of the combined section of the cover plate and the two side plates, l vs is the length of the side panel, and a is the distance between the cover plate and the centroid of the combined section of the cover plate and the two side panels.

[0135] In a possible implementation, the macroscopic mechanical model also includes a beam web, and the equivalent spring corresponding to the beam web is a shear deformation spring; the stiffness of the shear deformation spring is:

[0136]

[0137] Among them, K web is the stiffness of the shear deformation spring, k is the hole coefficient of the friction type high-strength bolt connection, n f is the number of force transmission friction surfaces, μ is the anti-slip coefficient, P is the pre-tension design value of the friction type high-strength bolt, and d is the relative displacement of the friction type high-strength bolt in the friction bearing stage.

[0138] In a possible implementation, the macroscopic mechanical model also includes a core area, and the equivalent spring corresponding to the core area is an oblique axial deformation spring; the stiffness of the oblique axial deformation spring is:

[0139]

[0140] Among them, K pz is the stiffness of the oblique axial deformation spring, B c is the core area width, t c is the thickness of the steel pipe, h b is the height of the steel beam, t cp is the thickness of the cover plate, l1 is the distance from the upper side of the node core area to the inflection point of the upper column, l2 is the distance from the upper side of the node core area to the inflection point of the lower column, E c is the composite elastic modulus of the steel tube concrete composite column coplanar with the steel beam, I c is the combined inertia moment of the steel tube concrete composite column coplanar with the steel beam, G c is the composite shear modulus of the steel tube concrete composite column coplanar with the steel beam, A c It is the composite area of ​​the steel tube concrete composite column coplanar with the steel beam.

[0141] The embodiment of the present invention constructs a macroscopic mechanical model for the side panel reinforced beam-column connection node, sets equivalent springs for each part of the node, determines the stiffness of each equivalent spring through structural parameters, and specifically targets the complex force relationship parts of the side panel and the cover plate. According to the contact position of the side panel and the cover plate, two equivalent springs in series are used to represent the two force contributions of the side panel and the cover plate parts, and then the stiffnesses of the two equivalent springs are integrated. The calculation process is simple and can accurately represent the force contribution of the side panel and the cover plate parts in the side panel reinforced beam-column connection node, which is convenient for the analysis of the anti-continuous collapse performance of the steel tube concrete composite column frame.

[0142] Figure 7 Schematic diagram of an electronic device provided by an embodiment of the present invention. Figure 7 As shown, the electronic device 7 of this embodiment includes: a processor 70, a memory 71, and a computer program 72 stored in the memory 71 and executable on the processor 70. When the processor 70 executes the computer program 72, the steps in the above-mentioned method for calculating the spring stiffness of each side plate reinforced node are implemented, for example Figure 2 Alternatively, when the processor 70 executes the computer program 72, the functions of each module / unit in the above-mentioned device embodiments are realized, for example, Figure 6 Functions of modules / units 61 to 63 are shown.

[0143] Exemplarily, the computer program 72 may be divided into one or more modules / units, which are stored in the memory 71 and executed by the processor 70 to implement the present invention. The one or more modules / units may be a series of computer program instruction segments capable of implementing specific functions, which are used to describe the execution process of the computer program 72 in the electronic device 7. For example, the computer program 72 may be divided into Figure 6 Modules / units 61 to 63 are shown.

[0144] The electronic device 7 may be a computing device such as a desktop computer, a notebook, a PDA, or a cloud server. The electronic device 7 may include, but is not limited to, a processor 70 and a memory 71. Those skilled in the art will appreciate that Figure 7 It is only an example of the electronic device 7 and does not constitute a limitation of the electronic device 7. It may include more or fewer components than shown in the figure, or a combination of certain components, or different components. For example, the electronic device may also include input and output devices, network access devices, buses, etc.

[0145] The processor 70 may be a central processing unit (CPU), or other general-purpose processors, digital signal processors (DSP), application-specific integrated circuits (ASIC), field-programmable gate arrays (FPGA) or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. A general-purpose processor may be a microprocessor or any conventional processor, etc.

[0146] The memory 71 may be an internal storage unit of the electronic device 7, such as a hard disk or memory of the electronic device 7. The memory 71 may also be an external storage device of the electronic device 7, such as a plug-in hard disk, a smart media card (SMC), a secure digital (SD) card, a flash card, etc. equipped on the electronic device 7. Further, the memory 71 may also include both an internal storage unit and an external storage device of the electronic device 7. The memory 71 is used to store the computer program and other programs and data required by the electronic device. The memory 71 may also be used to temporarily store data that has been output or is to be output.

[0147] The technicians in the relevant field can clearly understand that for the convenience and simplicity of description, only the division of the above-mentioned functional units and modules is used as an example for illustration. In practical applications, the above-mentioned function allocation can be completed by different functional units and modules as needed, that is, the internal structure of the device can be divided into different functional units or modules to complete all or part of the functions described above. The functional units and modules in the embodiment can be integrated in a processing unit, or each unit can exist physically separately, or two or more units can be integrated in one unit. The above-mentioned integrated unit can be implemented in the form of hardware or in the form of software functional units. In addition, the specific names of the functional units and modules are only for the convenience of distinguishing each other, and are not used to limit the scope of protection of this application. The specific working process of the units and modules in the above-mentioned system can refer to the corresponding process in the aforementioned method embodiment, which will not be repeated here.

[0148] In the above embodiments, the description of each embodiment has its own emphasis. For parts that are not described or recorded in detail in a certain embodiment, reference can be made to the relevant descriptions of other embodiments.

[0149] Those skilled in the art will appreciate that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Professional and technical personnel can use different methods to implement the described functions for each specific application, but such implementation should not be considered to be beyond the scope of the present invention.

[0150] In the embodiments provided by the present invention, it should be understood that the disclosed devices / electronic devices and methods can be implemented in other ways. For example, the device / electronic device embodiments described above are only schematic. For example, the division of the modules or units is only a logical function division. There may be other division methods in actual implementation, such as multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed. Another point is that the mutual coupling or direct coupling or communication connection shown or discussed can be through some interfaces, indirect coupling or communication connection of devices or units, which can be electrical, mechanical or other forms.

[0151] The units described as separate components may or may not be physically separated, and the components shown as units may or may not be physical units, that is, they may be located in one place or distributed on multiple network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.

[0152] In addition, each functional unit in each embodiment of the present invention may be integrated into one processing unit, or each unit may exist physically separately, or two or more units may be integrated into one unit. The above-mentioned integrated unit may be implemented in the form of hardware or in the form of software functional units.

[0153] If the integrated module / unit is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the present invention implements all or part of the processes in the above-mentioned embodiment method, and can also be completed by instructing the relevant hardware through a computer program. The computer program can be stored in a computer-readable storage medium. When the computer program is executed by the processor, the steps of the spring stiffness calculation method of each side plate reinforced node can be implemented. Among them, the computer program includes computer program code, and the computer program code can be in source code form, object code form, executable file or some intermediate form. The computer-readable medium may include: any entity or device that can carry the computer program code, recording medium, U disk, mobile hard disk, disk, optical disk, computer memory, read-only memory (ROM), random access memory (RAM), electric carrier signal, telecommunication signal and software distribution medium. It should be noted that the content contained in the computer-readable medium can be appropriately increased or decreased according to the requirements of legislation and patent practices in the jurisdiction. For example, in some jurisdictions, according to legislation and patent practices, computer-readable media does not include electrical carrier signals and telecommunication signals.

[0154] The embodiments described above are only used to illustrate the technical solutions of the present invention, rather than to limit the same. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that the technical solutions described in the aforementioned embodiments may still be modified, or some of the technical features may be replaced by equivalents. Such modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the embodiments of the present invention, and should all be included in the protection scope of the present invention.

Claims

1. A method for calculating the spring stiffness of a side plate reinforced node, characterized in that: include: Determine the macroscopic mechanical model of the target node based on the component method; wherein the target node is a side plate reinforced beam-column connection node, and the macroscopic mechanical model includes a cover plate and a side plate; The equivalent springs corresponding to the parts of the target node are set based on the deformation coordination principle; wherein the equivalent springs corresponding to the cover plate and the side plate parts are a first spring and a second spring connected in series, the first spring represents the force contribution of the cover plate without the side plate part, and the second spring represents the force contribution of the cover plate with the side plate part; For each part, the stiffness of the equivalent spring corresponding to the part is determined based on the structural parameters and elastic modulus of the part.

2. The method for calculating the spring stiffness of the side plate reinforced node according to claim 1, characterized in that: The stiffness of the equivalent spring corresponding to the cover and side plate is: Among them, K bf is the stiffness of the equivalent spring corresponding to the cover and side panels, K I is the stiffness of the first spring, K II is the stiffness of the second spring.

3. The method for calculating the spring stiffness of the side plate reinforced node according to claim 1, characterized in that: If the target node is a flat flange side plate reinforced beam-column node, an arc expansion plate side plate reinforced beam-column connection node, or a slotted side plate reinforced connection beam-column node, the stiffness of the first spring is: Among them, K I is the stiffness of the first spring, I1 is the moment of inertia of the cover section around the center of the steel beam flange, A cp is the cover area, E s is the elastic modulus of steel, l cp is the cover length, l vs is the length of the side panel, t cp is the cover plate thickness, t bf is the thickness of the steel beam flange.

4. The method for calculating the spring stiffness of the side plate reinforced node according to claim 1, characterized in that: If the target node is a conventional side plate reinforced beam-column connection node, the stiffness of the first spring is: Among them, K I is the stiffness of the first spring, E s is the elastic modulus of steel, A cp is the cover area, l cp is the cover length, l vs is the length of the side panel.

5. The method for calculating the spring stiffness of the side plate reinforced node according to claim 1, characterized in that: The stiffness of the second spring is: Among them, K II is the stiffness of the second spring, E s is the elastic modulus of steel, A cp is the cover area, A vs is the area of ​​the side plate, I2 is the moment of inertia of the cover plate section to the centroid of the combined section of the cover plate and the two side plates, l vs is the length of the side panel, and a is the distance between the cover plate and the centroid of the combined section of the cover plate and the two side panels.

6. The method for calculating the spring stiffness of the side plate reinforced node according to claim 1, characterized in that: The macroscopic mechanical model also includes a beam web, and the equivalent spring corresponding to the beam web is a shear deformation spring; the stiffness of the shear deformation spring is: Among them, K web is the stiffness of the shear deformation spring, k is the hole coefficient of the friction type high-strength bolt connection, n f is the number of force transmission friction surfaces, μ is the anti-slip coefficient, P is the pre-tension design value of the friction type high-strength bolt, and d is the relative displacement of the friction type high-strength bolt in the friction bearing stage.

7. The method for calculating the spring stiffness of the side plate reinforced node according to claim 1, characterized in that: The macroscopic mechanical model also includes a core area, and the equivalent spring corresponding to the core area is an oblique axial deformation spring; the stiffness of the oblique axial deformation spring is: Among them, K pz is the stiffness of the oblique axial deformation spring, B c is the core area width, t c is the thickness of the steel pipe, h b is the height of the steel beam, t cp is the thickness of the cover plate, l1 is the distance from the upper side of the node core area to the inflection point of the upper column, l2 is the distance from the upper side of the node core area to the inflection point of the lower column, E c is the composite elastic modulus of the steel tube concrete composite column coplanar with the steel beam, I c is the combined inertia moment of the steel tube concrete composite column coplanar with the steel beam, G c is the composite shear modulus of the steel tube concrete composite column coplanar with the steel beam, A c It is the composite area of ​​the steel tube concrete composite column coplanar with the steel beam.

8. A spring stiffness calculation device for a side plate reinforced node, characterized in that: include: A model determination module, used to determine a macroscopic mechanical model of a target node based on a component method; wherein the target node is a side plate reinforced beam-column connection node, and the macroscopic mechanical model includes a cover plate and a side plate; A spring equivalent module is used to set the equivalent springs corresponding to the various parts of the target node based on the deformation coordination principle; wherein the equivalent springs corresponding to the cover plate and the side plate parts are a first spring and a second spring connected in series, wherein the first spring represents the force contribution of the cover plate without the side plate part, and the second spring represents the force contribution of the cover plate with the side plate part; The stiffness calculation module is used to determine the stiffness of the equivalent spring corresponding to each part based on the structural parameters and elastic modulus of the part.

9. An electronic 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 7 are implemented.

10. A computer-readable storage medium storing a computer program, characterized in that: When the computer program is executed by a processor, the steps of the method as claimed in any one of claims 1 to 7 are implemented.

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