A method for analyzing the in-plane displacement response of stone curtain wall panels under earthquake influence

Abstract

The present invention provides a method for analyzing the in-plane displacement response of stone curtain wall panels under seismic influence. Based on the finite element method, a main structure model of the stone curtain wall panels is established, and the seismic model is used as an external load to calculate the inter-story displacement of the stone curtain wall panels. In response to the calculated inter-story displacement of the stone curtain wall panels being greater than the critical inter-story displacement of the stone curtain wall panels, the stress condition of the stone curtain wall panels is calculated. Through detailed stress analysis, a displacement response model of the stone curtain wall panels is obtained to accurately calculate the displacement of the stone curtain wall panels under seismic influence.

Description

Technical Field

[0001] The present invention relates to the field of displacement response of stone curtain wall panels, and particularly to a method for analyzing the in-plane displacement response of stone curtain wall panels under earthquake influence. Background Art

[0002] The functions of modern buildings are becoming increasingly complex, and building curtain walls are becoming increasingly rich. The damage of curtain walls during earthquakes will seriously affect the use functions of buildings and cause huge economic losses. The main reasons for curtain wall damages such as panel cracking or falling off are the in-plane displacements of the curtain wall caused by the movement of the main structure; however, there is no effective and accurate method in the prior art to calculate the in-plane displacement response of stone curtain wall panels under earthquake influence. Summary of the Invention

[0003] The main purpose of the present invention is to overcome the above-mentioned defects in the prior art and propose a method for analyzing the in-plane displacement response of stone curtain wall panels under earthquake influence.

[0004] The present invention adopts the following technical solutions:

[0005] A method for analyzing the in-plane displacement response of stone curtain wall panels under earthquake influence, comprising:

[0006] Based on the finite element method, establish the main structure model of the stone curtain wall panel, take the earthquake model as the applied load, and calculate the inter-story displacement of the stone curtain wall panel;

[0007] In response to the calculated inter-story displacement of the stone curtain wall panel being greater than the critical inter-story displacement of the stone curtain wall panel, calculate the stress condition of the stone curtain wall panel, specifically:

[0008] According to the relationship between the deformation and force of the glue, it can be known that the rotation angle θ of the nth layer panel in the curtain wall system n And the relationship expression of the forces received by the panel:

[0009] Equivalent pressure at the upper horizontal glue joint of the panel (negative sign for tension):

[0010] Equivalent tension at the upper horizontal glue joint of the panel (negative sign for pressure):

[0011] Equivalent pressure at the lower horizontal glue joint of the panel (negative sign for tension):

[0012] Equivalent tension at the lower horizontal glue joint of the panel (negative sign for pressure):

[0013] Equivalent shear force at the vertical glue joint on the side of the panel:

[0014] Shearing force of the horizontal sealant joint on the upper side of the panel:

[0015] Static friction force between the hanger and the supporting plate on the lower side of the panel:

[0016] Establish a displacement response model for the stone curtain wall panel, specifically:

[0017]

[0018] Wherein, a is the height of the panel, b is the length of the panel, b1 is the distance from the center of the hanger to the edge, dv is the depth of the horizontal sealant joint in the y direction, cv is the width of the vertical sealant joint in the x direction, dh is the depth of the vertical sealant joint in the y direction, ch is the width of the horizontal sealant joint in the z direction, Eg is the elastic modulus of the sealant, Gg is the shear modulus of the sealant, W is the gravity of the panel, δ is the interlayer displacement angle, θ n Panel rotation angle of each layer, aθ n Horizontal displacement of each layer of the panel caused by panel rotation, bθ n Vertical displacement of each layer of the panel caused by panel rotation, Equivalent pressure at the horizontal sealant joint on the upper side of the panel, Equivalent tensile force at the horizontal sealant joint on the upper side of the panel, Equivalent pressure at the horizontal sealant joint on the lower side of the panel, Equivalent tensile force at the horizontal sealant joint on the lower side of the panel, Equivalent shear force at the vertical sealant joint on the side of the panel, Shearing force of the horizontal sealant joint on the upper side of the panel, Static friction force between the hanger and the supporting plate on the lower side of the panel.

[0019] Specifically, the earthquake model includes earthquake time, velocity or acceleration.

[0020] Specifically, the calculation of the critical interlayer displacement is as follows:

[0021] The friction between the hanger on the upper side of the panel and the cross beam is ignored The shear forces generated by the upper and lower sealant joints are equal The shear forces generated by the left and right sealant joints are equal

[0022] At the initial stage of deformation loading, the stone slab slides relative to the upper cross beam, and the stone slab remains stationary relative to the lower cross beam. The shear forces of the sealant joints on both sides of the panel are 0, that is:

[0023] F gn L = F gn R = 0

[0024] When starting to rotate, for the force analysis of the panel at the critical rotation, N1 = 0, and then taking the moment of N2, the moment balance is obtained, and the following formula is obtained:

[0025] F gn L = F gn R = 0

[0026]

[0027] At this time, the critical rotation force:

[0028] Combining the shear deformation of the bonding adhesive and the relationship of the critical force to obtain the critical rotational interlayer displacement:

[0029]

[0030] As can be seen from the above description of the present invention, compared with the prior art, the present invention has the following beneficial effects:

[0031] The present invention proposes a method for analyzing the in-plane displacement response of a stone curtain wall panel under earthquake influence. Based on the finite element method, a main structure model of the stone curtain wall panel is established, and the earthquake model is used as an external load to calculate the interlayer displacement of the stone curtain wall panel. In response to the calculated interlayer displacement of the stone curtain wall panel being greater than the critical interlayer displacement of the stone curtain wall panel, the stress condition of the stone curtain wall panel is calculated. Through detailed stress analysis, a displacement response model of the stone curtain wall panel is obtained, and the displacement of the stone curtain wall panel under earthquake influence is accurately calculated. BRIEF DESCRIPTION OF THE DRAWINGS

[0032] Figure 1 It is a schematic diagram of the force on the panel provided by an embodiment of the present invention, where (a) is slippage and (b) is rotation;

[0033] Figure 2 It is a schematic diagram of the displacement of the upper and lower edge curtain wall panels provided by an embodiment of the present invention, where (a) is the curtain wall of the top floor building and (b) is the curtain wall of the bottom floor building.

[0034] The present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments. DETAILED DESCRIPTION OF THE EMBODIMENTS

[0035] The present invention proposes a method for analyzing the in-plane displacement response of a stone curtain wall panel under earthquake influence. Based on the finite element method, a main structure model of the stone curtain wall panel is established, and the earthquake model is used as an external load to calculate the interlayer displacement of the stone curtain wall panel. In response to the calculated interlayer displacement of the stone curtain wall panel being greater than the critical interlayer displacement of the stone curtain wall panel, the stress condition of the stone curtain wall panel is calculated. Through detailed stress analysis, a displacement response model of the stone curtain wall panel is obtained, and the displacement of the stone curtain wall panel under earthquake influence is accurately calculated.

[0036] In order to reproduce the boundary constraints and true deformation conditions of the reproduction board, the stress analysis of a certain stone slab is carried out to refine the boundary conditions and study the influence law of the sealant between the boards on the panel displacement ability. The research work targets the connection form of the beam-column hinge and the column-floor hinge, and at the same time, the panel model in which the bottom hanger bears all the gravity; the specific scheme steps are as follows:

[0037] S1: Based on the finite element method, establish the main structure model of the stone curtain wall panel, take the seismic model as the applied load, and calculate the inter-story displacement of the stone curtain wall panel;

[0038] S1: In response to the calculated inter-story displacement of the stone curtain wall panel being greater than the critical inter-story displacement of the stone curtain wall panel, calculate the stress condition of the stone curtain wall panel, specifically:

[0039] According to the relationship between the deformation and force of the glue, it can be known that the rotation angle θ of the nth layer panel in the curtain wall system n The relationship expression with the forces on the panel:

[0040] The equivalent pressure at the upper horizontal glue joint of the panel (the negative sign is for tension):

[0041] The equivalent tension at the upper horizontal glue joint of the panel (the negative sign is for pressure):

[0042] The equivalent pressure at the lower horizontal glue joint of the panel (the negative sign is for tension):

[0043] The equivalent tension at the lower horizontal glue joint of the panel (the negative sign is for pressure):

[0044] The equivalent shear force at the vertical glue joint on the side of the panel:

[0045] The shear force at the upper horizontal glue joint of the panel:

[0046] The static friction force between the lower hanger and the support plate of the panel:

[0047] Establish the displacement response model of the stone curtain wall panel, specifically:

[0048]

[0049] Among them, a is the panel height, b is the panel length, b1 is the distance from the hanger center to the edge, dv is the depth of the horizontal glue joint in the y direction, cv is the width of the vertical glue joint in the x direction, dh is the depth of the vertical glue joint in the y direction, ch is the width of the horizontal glue joint in the z direction, Eg is the elastic modulus of the sealant, Gg is the shear modulus of the sealant, W is the panel gravity, δ is the inter-story displacement angle, θ n The rotation angle of each layer of the panel, aθn Horizontal displacement caused by panel rotation for each layer, bθ n Vertical displacement caused by panel rotation for each layer Equivalent pressure at the horizontal sealant joint on the upper side of the panel Equivalent tensile force at the horizontal sealant joint on the upper side of the panel Equivalent pressure at the horizontal sealant joint on the lower side of the panel Equivalent tensile force at the horizontal sealant joint on the lower side of the panel Equivalent shear force at the vertical sealant joint on the side of the panel Shear force at the horizontal sealant joint on the upper side of the panel Static friction force between the hanging piece and the supporting plate on the lower side of the panel

[0050] According to the test results and engineering construction, it is found that the hanging pieces on the lower side of the curtain wall panel play a load-bearing role, and the hanging pieces on the upper side play a role in hooking the panel back. When analyzing the force of a certain stone slab, assume that the friction between the hanging piece on the upper side of the panel and the crossbeam is negligible The shear forces generated by the upper and lower sealant joints are equal The shear forces generated by the left and right sealant joints are equal

[0051] At the initial stage of deformation loading, the stone slab slides relative to the upper crossbeam, and the stone slab and the lower crossbeam remain stationary. The force condition is as Figure 1 (a) shown. Since there is no relative dislocation between the same-layer panels, the shear forces of the sealant joints on the left and right sides of the panel are 0, that is:

[0052] F gn L = F gn R = 0

[0053] When starting to rotate, for the force analysis of the panel at the critical rotation, N1 = 0. Then taking the moment of N2, the moment balance is obtained, and there is the following formula:

[0054] F gn L = F gn R = 0

[0055]

[0056] At this time, the critical rotation force:

[0057] Combining the relationship between the shear deformation of the bonding agent and the critical force, the critical interlayer displacement for rotation is obtained:

[0058]

[0059] After starting to rotate, the stone slab slides relative to the upper crossbeam, while the stone slab and the lower crossbeam remain stationary. The force acting on the rotating stone slab is as shown in Figure 1 (b).

[0060] In a specific embodiment, a displacement response model considering the boundary conditions of the curtain wall

[0061] According to engineering experience, the upper side of the panel of the top layer of the curtain wall is connected to structures such as the eaves, and the eaves cannot rotate, resulting in obvious differences in the rotation of the top-layer panel and the panels of the several layers below it, and obvious mutual extrusion between the panels. The lower side of the panel of the bottom layer of the curtain wall is connected to structures such as the ground, and the ground cannot rotate, resulting in obvious differences in the rotation of the top-layer panel and the panels of the several layers below it, and obvious mutual extrusion between the panels. The schematic diagram of the displacement response of the boundary curtain wall is shown in Figure 2 .

[0062] That is, when n is the top layer and the bottom layer of the curtain wall unit, according to engineering knowledge, the boundary condition at this time is θ0 = θ n+1 = 0. The calculation model of the in-plane displacement response of the curtain wall panel considering the engineering boundary conditions is as follows:

[0063]

[0064] The above is only the specific implementation manner of the present invention, but the design concept of the present invention is not limited thereto. Any non-substantive modification made to the present invention using this concept shall fall within the scope of infringement of the protection scope of the present invention.

Claims

1. A method for analyzing the in-plane displacement response of stone curtain wall panels under earthquake influence, characterized in that Including: Based on the finite element method, establish the main structure model of the stone curtain wall panel, take the seismic model as the applied load, and calculate the inter-story displacement of the stone curtain wall panel; In response to the calculated inter-story displacement of the stone curtain wall panel being greater than the critical inter-story displacement of the stone curtain wall panel, calculate the stress condition of the stone curtain wall panel, specifically: According to the relationship between the deformation of the glue and the force, it can be known that the corner θ of the nth layer panel in the curtain wall system n The relational expression of the forces on the panel: Equivalent pressure at the horizontal glue joint on the upper side of the panel, where the negative sign indicates tensile force: Equivalent tensile force at the horizontal glue joint on the upper side of the panel, where the negative sign indicates pressure: Equivalent pressure at the horizontal glue joint on the lower side of the panel, where the negative sign indicates tensile force: Equivalent tensile force at the horizontal sealant joint on the lower side of the panel, where the negative sign indicates pressure: Equivalent shear force at the vertical glue joint on the side of the panel: Horizontal shear force of the upper horizontal sealant joint on the panel: The static friction force between the hanging part under the panel and the supporting plate: Establish the displacement response model of the stone curtain wall panel, specifically: Among them, a represents the height of the plate, b represents the length of the plate, b1 represents the distance from the center of the hanging part to the edge, d v represents the depth in the y direction of the horizontal sealant joint, c v represents the width in the x direction of the vertical sealant joint, d h represents the depth in the y direction of the vertical sealant joint, c h represents the width in the z direction of the horizontal sealant joint, E g represents the elastic modulus of the sealant, G g represents the shear modulus of the sealant, W represents the gravity of the panel, δ represents the inter-story drift angle, θ n represents the rotation angle of the panel for each layer, represents the equivalent pressure at the upper horizontal sealant joint of the panel, represents the equivalent tensile force at the upper horizontal sealant joint of the panel, represents the equivalent pressure at the lower horizontal sealant joint of the panel, represents the equivalent tensile force at the lower horizontal sealant joint of the panel, represents the equivalent shear force at the vertical sealant joint on the side of the panel, represents the shear force at the upper horizontal sealant joint of the panel, represents the static frictional force between the lower hanging part and the supporting plate of the panel; The specific calculation of the critical inter-story displacement is: The friction between the hanging parts on the upper side of the panel and the cross beam is negligible: The shear forces generated by the upper and lower glue seams are equal: The shear forces generated by the left and right glue seams are equal: In the initial stage of deformation loading, the stone slab slides with the upper cross beam, the stone slab and the lower cross beam remain stationary, and the shear force of the glue joints on both sides of the panel is 0, that is: When starting to rotate, for the stress analysis of the panel at the critical rotation, N1 = 0, and then take the moment of N2 to obtain the moment balance, and there is the following formula: F gn L = F gn R = 0; Critical buckling load at this time: Combining the shear deformation of the bonding adhesive with the relationship of the critical force, the rotational critical interlayer displacement is obtained:

2. The in-plane displacement response analysis method of the stone curtain wall panel under earthquake influence according to claim 1, wherein, The seismic model includes seismic time, velocity or acceleration.

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