A method for analyzing in-plane corner response of stone curtain wall panels under seismic influence

Abstract

The application provides a method for analyzing in-plane corner response of a stone curtain wall panel under the influence of an earthquake, which is based on a finite element method, establishes a main structure model of the stone curtain wall panel, takes an earthquake model as an external load, and calculates interlayer displacement angles of the stone curtain wall panel. nm According to the relationship between the deformation of the glue and the force, a relationship expression of the corner angle θ nm of the nth layer and the mth column panel in the curtain wall system and various forces suffered by the panel is obtained. According to the boundary conditions of the two sides of the panel, a relationship expression of the interlayer displacement angle δ and the corner angle θ nm of the nth layer and the mth column panel is obtained, so that accurate analysis and calculation of the in-plane corner angle of the stone curtain wall panel under the influence of the earthquake in different situations are realized.

Description

TECHNICAL FIELD

[0001] The present application relates to the field of stone curtain wall panel displacement response, in particular to a method for analyzing the in-plane rotation response of a stone curtain wall panel under the influence of an earthquake. BACKGROUND

[0002] Modern buildings have increasingly complex functions, and building curtain walls are increasingly diverse. The damage to curtain walls in an earthquake can seriously affect the use of the building and cause significant economic losses. The main cause of curtain wall damage, such as panel cracking or falling, is the in-plane displacement 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 rotation response of a stone curtain wall panel under the influence of an earthquake. SUMMARY

[0003] The main purpose of the present application is to overcome the above-mentioned defects in the prior art, and to provide a method for analyzing the in-plane rotation response of a stone curtain wall panel under the influence of an earthquake, which can accurately analyze and calculate the in-plane rotation of a stone curtain wall panel under the influence of an earthquake in different situations.

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

[0005] A method for analyzing the in-plane rotation response of a stone curtain wall panel under the influence of an earthquake, comprising:

[0006] Based on the finite element method, a main structure model of the stone curtain wall panel is established, and a seismic model is used as an external load to calculate the interlayer displacement angle of the stone curtain wall panel.

[0007] According to the displacement angle, the rotation angle of each panel of the curtain wall is calculated. Specifically:

[0008] According to the relationship between the deformation of the glue and the force, the rotation angle of the nth layer and the mth column panel in the curtain wall system is nm and the relationship expression of the forces acting on the panel:

[0009] Equivalent pressure at the upper horizontal glue joint of the panel:

[0010] Equivalent tension at the upper horizontal glue joint of the panel:

[0011] Equivalent pressure at the lower horizontal glue joint of the panel:

[0012] Equivalent tension at the lower horizontal glue joint of the panel:

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

[0014] Equivalent shear force at the right vertical glue joint of the panel:

[0015] Equivalent shear force of horizontal glue joint on the upper side of the panel:

[0016] Equivalent shear force of horizontal glue joint on the bottom side of the panel:

[0017] Equivalent pressure at the horizontal glue seam on the left side of the panel:

[0018] Equivalent tensile force at the horizontal glue joint on the left side of the panel:

[0019] Equivalent pressure at the horizontal glue seam on the right side of the panel:

[0020] Equivalent tensile force at the horizontal glue seam on the right side of the panel:

[0021] Static friction between the panel lower side pendant and the support plate:

[0022] Among them, a is the height of the board, b is the length of the board, b1 is the distance from the center of the pendant to the edge, d v Depth of horizontal glue seam in y direction, c v Vertical glue seam width in x direction, d h Depth of vertical glue seam in y direction, c h Horizontal glue seam width in z direction, E g Sealant elastic modulus, G g Sealant shear modulus, δ Interlaminar displacement angle, θ nm Panel rotation angle of each layer, aθ nm The horizontal displacement of the panels of each layer caused by the panel rotation, bθ nm The vertical displacement of the panels on each floor caused by panel rotation, Equivalent pressure at the horizontal glue joint on the upper side of the panel, Equivalent tension at the horizontal glue joint on the upper side of the panel, Equivalent pressure at the horizontal glue joint on the lower side of the panel, Equivalent tension at the horizontal glue joint on the lower side of the panel, Equivalent shear force at the vertical glue joint on the side of the panel, Shear force of horizontal glue joint on the upper side of the panel, Static friction between the panel's lower hanger and the support plate;

[0023] According to the boundary conditions on both sides of the panel, the interlayer displacement angle δ and the rotation θ of the panel in the nth layer and the mth column are obtained. nm The relationship formula.

[0024] Specifically, the earthquake model includes earthquake time, velocity or acceleration.

[0025] Specifically, according to the boundary conditions on both sides of the panel, the interlayer displacement angle δ and the rotation θ of the panel in the nth layer and the mth column are obtained. nm The relationship includes:

[0026] (1) When the boundaries on both sides are free, there is no shear and tension or compression on both sides of the panel. Therefore, when the keel is hinged, the relationship between the different forces on the panel in the mth column of the nth layer is obtained according to the moment balance as follows:

[0027]

[0028] It can be obtained that when the keel is hinged, the relationship between the inter-story displacement angle δ and the rotation θnm of the panel in the nth layer and the mth column is as follows:

[0029]

[0030] make

[0031]

[0032] That is, when n is any layer in the middle of the curtain wall unit, the boundary conditions of the panel in the mth column of the nth layer are:

[0033] Aθ nm -B(θ (n+1)m +θ (n-1)m )=E

[0034] When n is the top and bottom layers of the curtain wall unit, according to engineering, the boundary condition θ 0m =θ (n+1)m =0;

[0035] (2) When the boundaries on both sides are not free, there are shear, tension and compression on both sides of the panel. According to the moment equilibrium, the relationship between the different forces acting on the panel is:

[0036]

[0037] It can be obtained that when the keel is hinged, the inter-story displacement angle δ is related to the rotation θ of the panel in the mth row of the nth floor. nm The relationship is as follows:

[0038]

[0039] make

[0040]

[0041]

[0042] That is, Aθ nm -B(θ (n+1)m +θ (n-1)m)+Cθ n(m+1) +Dθ n(m-1) =E

[0043] When n is the top and bottom layers of the curtain wall unit, according to engineering, the boundary condition θ 0m =θ (n+1)m =0;

[0044] Where W is the panel gravity.

[0045] (3) When the rotation angles of the same layer are the same, the vertical adhesive joints are sheared without tension or compression. According to the moment balance, the relationship between the different forces on the panel can be obtained as follows:

[0046]

[0047] It can be obtained that when the keel is hinged, if the rotation amount of the same layer is the same, the inter-layer displacement angle δ is related to the rotation θ of the m-th column panel of the nth layer. nm The relationship is as follows:

[0048]

[0049] make

[0050]

[0051] That is, when n is any layer in the middle of the curtain wall unit, the boundary condition Aθ of the nth layer panel is nm -B(θ (n+1)m +θ (n-1)m )=CWhen n is the top and bottom layers of the curtain wall unit, according to engineering, the boundary condition θ 0m =θ (n+1)m =0;

[0052] Where W is the panel gravity.

[0053] From the above description of the present invention, it can be seen that compared with the prior art, the present invention has the following beneficial effects:

[0054] This paper proposes a method for analyzing the in-plane rotational response of stone curtain wall panels under earthquake influence. Based on the finite element method, a main structural model of the stone curtain wall panels is established. The earthquake model is used as an external load to calculate the inter-story displacement angle of the stone curtain wall panels. According to the relationship between the deformation and force of the glue, the rotation angle θ of the panel in the mth column of the nth layer in the curtain wall system can be obtained. nm The relationship between the forces on the panel and the interlayer displacement angle δ and the rotation θ of the panel in the nth layer and the mth column is obtained based on the boundary conditions on both sides of the panel. nm The relationship formula is used to accurately analyze and calculate the in-plane rotation angle of stone curtain wall panels under different conditions under the influence of earthquakes. BRIEF DESCRIPTION OF THE DRAWINGS

[0055] Figure 1 A schematic diagram of a force diagram of a panel structure provided by an embodiment of the present invention;

[0056] Figure 2 This is a schematic diagram of the panel force diagram provided by an embodiment of the present invention.

[0057] The present invention is further described in detail below with reference to the accompanying drawings and specific embodiments. DETAILED DESCRIPTION

[0058] This paper proposes a method for analyzing the in-plane rotational response of stone curtain wall panels under earthquake influence. Based on the finite element method, a main structural model of the stone curtain wall panels is established. The earthquake model is used as an external load to calculate the inter-story displacement angle of the stone curtain wall panels. According to the relationship between the deformation and force of the glue, the rotation angle θ of the panel in the mth column of the nth layer in the curtain wall system can be obtained. nm The relationship between the forces on the panel and the interlayer displacement angle δ and the rotation θ of the panel in the nth layer and the mth column is obtained based on the boundary conditions on both sides of the panel. nm The relationship formula is used to accurately analyze and calculate the in-plane rotation angle of stone curtain wall panels under different conditions under the influence of earthquakes.

[0059] like Figure 1 A schematic diagram of a force diagram of a panel structure provided by an embodiment of the present invention; Figure 2 A schematic diagram of the force diagram of the panel provided for an embodiment of the present invention; wherein the large frame around panel No. ③ is a sealing strip, and the force framed on the sealing strip is the force of the sealing strip. The figure decomposes and displays the internal forces between the components, that is, the interactions, so any pair of action and reaction forces can be found.

[0060] To reproduce the boundary constraints and true deformation of a slab, this paper analyzes the forces acting on a specific slab, refines the boundary conditions, and studies the influence of inter-slab sealant on the panel's displacement capacity. The research focuses on a panel model in which the beams and columns are hinged, the columns and slabs are hinged, and the bottom hangers bear all gravity. The specific steps are as follows:

[0061] A method for analyzing the in-plane rotational response of a stone curtain wall panel under earthquake influence includes:

[0062] S1: Based on the finite element method, the main structural model of the stone curtain wall panel is established, and the earthquake model is used as an external load to calculate the inter-story displacement angle of the stone curtain wall panel;

[0063] S2: Calculate the rotation angle of each panel of the curtain wall based on the displacement angle; specifically:

[0064] S21: According to the relationship between the deformation and force of the glue, the rotation angle θ of the panel in the nth layer and the mth column of the curtain wall system is known to be nmThe relationship expression between the various forces acting on the panel is:

[0065] Equivalent pressure at the horizontal glue seam on the upper side of the panel:

[0066] Equivalent tensile force at the horizontal glue joint on the upper side of the panel:

[0067] Equivalent pressure at the horizontal glue joint on the lower side of the panel:

[0068] Equivalent tensile force at the horizontal glue joint on the lower side of the panel:

[0069] Equivalent shear force at the vertical glue joint on the left side of the panel:

[0070] Equivalent shear force at the vertical glue joint on the right side of the panel:

[0071] Equivalent shear force of horizontal glue joint on the upper side of the panel:

[0072] Equivalent shear force of horizontal glue joint on the bottom side of the panel:

[0073] Equivalent pressure at the horizontal glue seam on the left side of the panel:

[0074] Equivalent tensile force at the horizontal glue joint on the left side of the panel:

[0075] Equivalent pressure at the horizontal glue seam on the right side of the panel:

[0076] Equivalent tensile force at the horizontal glue seam on the right side of the panel:

[0077] Static friction between the panel lower side pendant and the support plate:

[0078] Among them, a is the height of the board, b is the length of the board, b1 is the distance from the center of the pendant to the edge, d v Depth of horizontal glue seam in y direction, c v Vertical glue seam width in x direction, d h Depth of vertical glue seam in y direction, c h Horizontal glue seam width in z direction, E g Sealant elastic modulus, G g Sealant shear modulus, δ Interlaminar displacement angle, θ nm Panel rotation angle of each layer, aθ nm The horizontal displacement of the panels of each layer caused by the panel rotation, bθ nm The vertical displacement of the panels on each floor caused by panel rotation, Equivalent pressure at the horizontal glue joint on the upper side of the panel, Equivalent tension at the horizontal glue joint on the upper side of the panel, Equivalent pressure at the horizontal glue joint on the lower side of the panel, Equivalent tension at the horizontal glue joint on the lower side of the panel, Equivalent shear force at the vertical glue joint on the side of the panel, Shear force of horizontal glue joint on the upper side of the panel, Static friction between the panel's lower hanger and the support plate;

[0079] S22: According to the boundary conditions on both sides of the panel, the relationship between the interlayer displacement angle δ and the rotation θnm of the panel in the nth layer and the mth column is obtained.

[0080] Specifically, the earthquake model includes earthquake time, velocity or acceleration.

[0081] Specifically, according to the boundary conditions on both sides of the panel, the interlayer displacement angle δ and the rotation θ of the panel in the nth layer and the mth column are obtained. nm The relationship includes:

[0082] (1) When the boundaries on both sides are free, there is no shear and tension or compression on both sides of the panel. Therefore, the relationship between the different forces on the panel in the mth column of the nth layer is obtained according to the moment equilibrium as follows:

[0083]

[0084] It can be obtained that when the keel is hinged, the relationship between the inter-story displacement angle δ and the rotation θnm of the panel in the nth layer and the mth column is as follows:

[0085]

[0086] make

[0087]

[0088] That is, when n is any layer in the middle of the curtain wall unit, the boundary conditions of the panel in the mth column of the nth layer are:

[0089] Aθ nm -B(θ (n+1)m +θ (n-1)m )=E

[0090] When n is the top and bottom layers of the curtain wall unit, according to engineering, the boundary condition θ 0m =θ (n+1)m =0;

[0091] (2) When the boundaries on both sides are not free, there are shear, tension and compression on both sides of the panel. According to the moment equilibrium, the relationship between the different forces acting on the panel is:

[0092]

[0093] It can be obtained that when the keel is hinged, the inter-story displacement angle δ is related to the rotation θ of the panel in the mth row of the nth floor. nm The relationship is as follows:

[0094]

[0095] make

[0096]

[0097] That is, Aθ nm -B(θ (n+1)m +θ (n-1)m )+Cθ n(m+1) +Dθ n(m-1) =E

[0098] When n is the top and bottom layers of the curtain wall unit, according to engineering, the boundary condition θ 0m =θ (n+1)m =0;

[0099] Where W is the panel gravity.

[0100] (3) When the rotation angles of the same layer are the same, the vertical adhesive joints are sheared without tension or compression. According to the moment balance, the relationship between the different forces on the panel can be obtained as follows:

[0101]

[0102] It can be obtained that when the keel is hinged, if the rotation amount of the same layer is the same, the inter-layer displacement angle δ is related to the rotation θ of the m-th column panel of the nth layer. nm The relationship is as follows:

[0103]

[0104] make

[0105]

[0106] That is, when n is any layer in the middle of the curtain wall unit, the boundary condition Aθ of the nth layer panel is nm -B(θ (n+1)m +θ (n-1)m )=E

[0107] When n is the top and bottom layers of the curtain wall unit, according to engineering, the boundary condition θ 0m =θ (n+1)m =0.

[0108] Where W is the panel gravity.

[0109] This paper proposes a method for analyzing the in-plane rotational response of stone curtain wall panels under earthquake influence. Based on the finite element method, a main structural model of the stone curtain wall panels is established. The earthquake model is used as an external load to calculate the inter-story displacement angle of the stone curtain wall panels. According to the relationship between the deformation and force of the glue, the rotation angle θ of the panel in the mth column of the nth layer in the curtain wall system can be obtained. nm The relationship between the forces on the panel and the interlayer displacement angle δ and the rotation θ of the panel in the nth layer and the mth column is obtained based on the boundary conditions on both sides of the panel. nm The relationship formula is used to accurately analyze and calculate the in-plane rotation angle of stone curtain wall panels under different conditions under the influence of earthquakes.

[0110] The above is only a specific implementation of the present invention, but the design concept of the present invention is not limited to this. Any non-substantial changes to the present invention using this concept shall be deemed as an infringement of the protection scope of the present invention.

Claims

1. A method for analyzing the in-plane rotational response of a stone curtain wall panel under earthquake influence, characterized in that: include: Based on the finite element method, the main structural model of the stone curtain wall panel was established, and the earthquake model was used as an external load to calculate the inter-story displacement angle of the stone curtain wall panel. Calculate the rotation angle of each panel of the curtain wall according to the displacement angle; specifically: According to the relationship between the deformation and force of the glue, the rotation angle θ of the panel in the nth layer and the mth column of the curtain wall system is nm The relationship expression between the various forces acting on the panel is: Equivalent pressure at the horizontal glue seam on the upper side of the panel: Equivalent tensile force at the horizontal glue joint on the upper side of the panel: Equivalent pressure at the horizontal glue joint on the lower side of the panel: Equivalent tensile force at the horizontal glue joint on the lower side of the panel: Equivalent shear force at the vertical glue joint on the left side of the panel: Equivalent shear force at the vertical glue joint on the right side of the panel: Equivalent shear force of horizontal glue joint on the upper side of the panel: Equivalent shear force of horizontal glue joint on the bottom side of the panel: Equivalent pressure at the horizontal glue seam on the left side of the panel: Equivalent tensile force at the horizontal glue joint on the left side of the panel: Equivalent pressure at the horizontal glue seam on the right side of the panel: Equivalent tensile force at the horizontal glue seam on the right side of the panel: Static friction between the lower panel hanger and the support plate: Among them, a is the height of the board, b is the length of the board, b1 is the distance from the center of the pendant to the edge, d v Depth of horizontal glue seam in y direction, c v Vertical glue seam width in x direction, d h Depth of vertical glue seam in y direction, c h Horizontal glue seam width in z direction, E g Sealant elastic modulus, G g Sealant shear modulus, δ Interlaminar displacement angle, θ nm Panel rotation angle of each layer, aθ nm The horizontal displacement of the panels of each layer caused by the panel rotation, bθ nm The vertical displacement of the panels at each floor caused by panel rotation; According to the boundary conditions on both sides of the panel, the interlayer displacement angle δ and the rotation θ of the panel in the nth layer and the mth column are obtained. nm The relationship formula includes: (1) When the boundaries on both sides are free, there is no shear and tension or compression on both sides of the panel. According to the moment balance, the relationship between the different forces on the panel is: The inter-story displacement angle δ is related to the rotation θ of the panel in the mth column of the nth layer nm The relationship is as follows: make C＝0； D＝0； That is, when n is any layer in the middle of the curtain wall unit, the boundary conditions of the panel in the mth column of the nth layer are: Ath nm -B(θ (n+1)m +θ (n-1)m )=E; (2) When the boundaries on both sides are not free, there are shear, tension and compression on both sides of the panel. According to the moment equilibrium, the relationship between the different forces on the panel is: The inter-story displacement angle δ is related to the rotation θ of the panel in the mth column of the nth layer nm The relationship is as follows: make That is, Aθ nm -B(θ (n+1)m +θ (n-1)m ) + Cθ n(m+1) +Dθ n(m-1) = E; (3) When the rotation angles of the same layer are the same, the vertical adhesive joints are sheared without tension or compression. According to the moment balance, the relationship between the different forces on the panel can be obtained as follows: When the rotation amount of the same layer is the same, the interlayer displacement angle δ is related to the rotation θ of the panel in the mth column of the nth layer. nm The relationship is as follows: make That is, when n is any layer in the middle of the curtain wall unit, the boundary condition Aθ of the panel in the nth layer and the mth column is nm -B(θ (n+1)m +θ (n-1)m )=C; Where W is the panel weight.

2. The method for analyzing the in-plane rotational response of a stone curtain wall panel under earthquake influence according to claim 1, characterized in that: Earthquake models include earthquake timing, velocity, or acceleration.

3. The method for analyzing the in-plane rotational response of a stone curtain wall panel under earthquake influence according to claim 1, characterized in that: When n is the top and bottom layers of the curtain wall unit, the boundary condition θ 0m =θ (n+1)m =0.

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