JP7363002B2 - Building structural analysis method, building structural analysis device and program - Google Patents

Description

The present invention relates to a building structural analysis method, a building structural analysis apparatus, and a program.

For example, Patent Document 1 discloses a technique for performing structural analysis of a building using an analytical model of the building. Further, for example, Patent Document 2 discloses a building having a frame-shaped steel frame and a seismic wall provided inside the steel frame and whose upper and lower parts are joined to the steel frame.

Patent No. 4648578 JP2019-65685A

When performing structural analysis on a building having a steel frame and earthquake-resistant walls, the analytical model of the building becomes complicated, and there is a risk that the analysis will require a huge amount of work time.

An object of the present invention is to provide a structural analysis method for a building that can shorten the working time required to analyze a building having a steel frame and a seismic wall.

A first aspect of the present invention is a structural analysis method for a building having a frame-shaped steel frame and a seismic wall provided inside the steel frame and whose upper and lower parts are joined to the steel frame, a shear rigidity calculation process that calculates the shear rigidity of a joint that connects the upper and lower parts of the seismic wall and the steel frame; a frame-like element that models the steel frame; and a frame element that extends in the vertical direction and models the seismic wall. a pair of rigid elements connected to the upper and lower ends of the wire element and having the same width as the shear wall, and each of the joints connected to the frame element and the pair of rigid elements, respectively. an analytical model having a pair of shear joint spring elements that model a bearing part of the shear wall, and a plurality of bearing spring elements that are respectively connected to the frame element and the pair of rigid elements and model the bearing part of the shear wall; On the other hand, by performing analysis or calculation, the stiffness of the shear wall and the stiffness of the bearing pressure section are calculated, and the calculation results of the stiffness of the shear wall and the stiffness of the bearing pressure section and the shear rigidity calculation process are calculated. A horizontal stiffness calculation process that calculates the horizontal stiffness of the shear wall based on the calculation result of the shear stiffness of the joint calculated in An X-shaped brace element having a rigidity EA is obtained, and the wire element, the pair of rigid elements, the pair of shear joint spring elements, and the plurality of bearing pressure spring elements in the analytical model are replaced with the brace element. The present invention is a structural analysis method for a building, comprising: a brace element replacement process for updating the analytical model; and a structural analysis execution process for performing a structural analysis of the building using the updated analytical model.

However, Kw is the horizontal rigidity, _LB is the horizontal distance between the bearing pressure resultant force acting on the upper rigid element and the bearing pressure resultant force acting on the lower rigid element, and θ is This is the inclination angle with respect to the vertical direction of a pair of linear elements constituting the brace element.

A second aspect of the present invention is a structural analysis device for a building, which has a frame-shaped steel frame and a seismic wall provided inside the steel frame and whose upper and lower parts are joined to the steel frame, a shear rigidity calculation unit that calculates shear rigidity of a joint between the upper and lower parts of the shear wall and the steel frame; a frame element that models the steel frame; and a frame element that extends in the vertical direction and models the shear wall. a pair of rigid elements connected to the upper and lower ends of the wire element and having the same width as the shear wall, and each of the joints connected to the frame element and the pair of rigid elements, respectively. an analytical model having a pair of shear joint spring elements that model a bearing part of the shear wall, and a plurality of bearing spring elements that are respectively connected to the frame element and the pair of rigid elements and model the bearing part of the shear wall; On the other hand, by performing analysis or calculation, the stiffness of the shear wall and the stiffness of the bearing pressure section are calculated, and the calculation results of the stiffness of the shear wall and the stiffness of the bearing pressure section and the shear stiffness calculation section are calculated. a horizontal stiffness calculation unit that calculates the horizontal stiffness of the shear wall based on the calculation result of the shear stiffness of the joint part calculated in An X-shaped brace element having a rigidity EA is obtained, and the wire element, the pair of rigid elements, the pair of shear joint spring elements, and the plurality of bearing pressure spring elements in the analytical model are replaced with the brace element. The present invention is a structural analysis device for a building, including a brace element replacement unit that updates the analytical model, and a structural analysis execution unit that executes structural analysis of the building using the updated analytical model.

However, Kw is the horizontal rigidity, _LB is the horizontal distance between the bearing pressure resultant force acting on the upper rigid element and the bearing pressure resultant force acting on the lower rigid element, and θ is This is the inclination angle with respect to the vertical direction of a pair of linear elements constituting the brace element.

A third aspect of the present invention causes a computer to perform structural analysis of a building having a frame-shaped steel frame and a seismic wall provided inside the steel frame and whose upper and lower parts are joined to the steel frame. The program includes a shear rigidity calculation process that calculates the shear rigidity of a joint that connects the upper and lower parts of the seismic wall and the steel frame, a frame element modeling the steel frame, and a vertical direction a wire rod element extending to model the shear wall; a pair of rigid elements connected to the upper and lower ends of the wire element and having the same width as the shear wall; and the frame element and the pair of rigid elements. a pair of shear joint spring elements that are connected to each other and model each of the joint parts; and a plurality of bearing pressure springs that are connected to the frame element and the pair of rigid elements and model the bearing pressure part of the shear wall. The rigidity of the shear wall and the stiffness of the bearing pressure part are calculated by performing analysis or calculation on an analytical model having the elements, and the results of calculating the rigidity of the shear wall and the rigidity of the bearing pressure part. and a horizontal stiffness calculation process that calculates the horizontal stiffness of the shear wall based on the shear stiffness calculation result of the joint part calculated in the shear stiffness calculation process, and the following from the horizontal stiffness using the virtual work method. An X-shaped brace element having an axial rigidity EA determined by equation (1) is obtained, and the wire element, the pair of rigid elements, the pair of shear joint spring elements, and the plurality of bearing spring elements in the analytical model are causing a computer to execute a process including a brace element replacement process of updating the analytical model by replacing the brace element with the brace element; and a structural analysis execution process of performing a structural analysis of the building using the updated analytical model. This is a program for

However, Kw is the horizontal rigidity, _LB is the horizontal distance between the bearing pressure resultant force acting on the upper rigid element and the bearing pressure resultant force acting on the lower rigid element, and θ is This is the inclination angle with respect to the vertical direction of a pair of linear elements constituting the brace element.

According to the present invention, since the analysis model can be simplified, the working time required for analysis can be shortened.

FIG. 1 is a block diagram showing the configuration of a building structural analysis device according to an embodiment of the present invention. It is a flowchart which shows the flow of processing in the structural analysis method of a building concerning one embodiment of the present invention. 3 is a diagram illustrating the shear stiffness calculation process of FIG. 2. FIG. 3 is a diagram illustrating horizontal stiffness calculation processing in FIG. 2. FIG. 3 is a diagram illustrating the brace element replacement process of FIG. 2. FIG. FIG. 3 is a diagram illustrating the structural analysis execution process of FIG. 2; It is a figure which shows an example of the elastic-plastic characteristic of a brace element. FIG. 3 is a diagram illustrating an example of a force balance relationship of a joint (shear joint). FIG. 2 is a diagram showing an example of a design model of a building to be analyzed. FIG. 3 is a diagram illustrating a structural analysis method for a building according to a comparative example. FIG. 3 is a diagram showing a structural analysis model used in a building structural analysis method according to a comparative example.

First, in order to clarify the features of one embodiment of the present invention, a comparative example and its problems will be described.

FIG. 9 is a diagram showing an example of a design model 120 that models the building 100 to be analyzed. As shown in FIG. 9, the building 100 to be analyzed includes a plurality of hybrid structures 106 that are a combination of a frame-shaped steel frame 102 and a seismic wall 104 provided inside the steel frame 102. The upper and lower parts of the seismic wall 104 are joined to the steel frame 102.

Although the earthquake-resistant wall 104 is not particularly limited, a CLT earthquake-resistant wall is an example of the earthquake-resistant wall 104. CLT is an acronym for Cross-Laminated-Timber. The shear wall 104 has multiple wood layers. The plurality of wood layers are stacked such that the wood grain directions of the overlapping wood layers intersect with each other.

In a structural analysis method for a building according to a comparative example, a structural analysis of a building 100 is performed using a design model 120 shown in FIG. 9 . FIG. 10 is a diagram illustrating a structural analysis method for a building according to a comparative example. In FIG. 10, (A) is a front view of a hybrid structure 106 that combines a steel frame 102 and a shear wall 104, and (B) is a modeled view of the hybrid structure 106 shown in (A).

In a structural analysis method for a building according to a comparative example, a hybrid structure 106 that combines a steel frame 102 and a shear wall 104 shown in FIG. 10(A) is modeled into an analytical model 150 shown in FIG. 10(B).

The analytical model 150 includes a frame element 152, a wire element 154, a pair of rigid elements 156, a pair of shear joint spring elements 158, a plurality of compression spring elements 160, and a plurality of tension spring elements 161. The frame element 152 is a model of the steel frame 102, and the wire element 154 and the pair of rigid elements 156 are models of the earthquake wall 104.

The frame element 152 has an upper element 152A, a lower element 152B, and a pair of side elements 152C. The wire element 154 extends in the vertical direction, and the pair of rigid elements 156 each extend in the horizontal direction as an axial direction. The vertical direction and the horizontal direction indicate directions calculated by a computer. The horizontal direction corresponds to the width direction of the seismic wall 104.

The pair of rigid elements 156 are arranged above and below the wire element 154, and the upper and lower ends of the wire element 154 are respectively connected to the central portions of the pair of rigid elements 156 in the axial direction. The pair of rigid elements 156 have the same width as the shear wall 104.

The pair of shear joint spring elements 158 are models of each joint 108 that joins the upper and lower parts of the shear wall 104 to the steel frame 102, respectively. The joint portion 108 is located at the center of the seismic wall 104 in the width direction. The pair of shear joint spring elements 158 are each arranged with the horizontal direction as the axial direction. Both ends of the upper shear joint spring element 158 are connected to the axial center of the upper rigid element 156 and the upper element 152A of the frame element 152, and both ends of the lower shear joint spring element 158 are connected to the axial center of the upper rigid element 156 and the upper element 152A of the frame element 152. It is connected to the axially central portion of the side rigid element 156 and the lower element 152B of the frame element 152.

The plurality of compression spring elements 160 and the plurality of tension spring elements 161 are models of the plurality of bearing pressure parts 110 that support the upper and lower parts of the shear wall 104 with respect to the steel frame 102, respectively. The pair of upper bearing pressure parts 110 are located on both sides of the upper joint part 108, and the pair of lower bearing pressure parts 110 are located on both sides of the lower joint part 108, respectively.

The plurality of compression spring elements 160 and the plurality of tension spring elements 161 are each arranged with the vertical direction as the axial direction. Both ends of the upper compression spring element 160 and the upper tension spring element 161 are respectively connected to the upper rigid element 156 and the upper element 152A of the frame-like element 152, and are connected to the lower compression spring element 160 and the lower tension spring element 160. Both ends of the tension spring element 161 are connected to the lower rigid element 156 and the lower element 152B of the frame element 152, respectively.

In the building structural analysis method according to the comparative example, the hybrid structure 106 that combines the steel frame 102 and the shear walls 104 is modeled into the analytical model 150 using the above method. This analytical model 150 includes a connection portion between a pair of shear joint spring elements 158 and a frame element 152, a connection portion between a plurality of compression spring elements 160 and a pair of rigid body elements 156, and a connection portion between a plurality of tension spring elements 161 and a pair of rigid body elements 156. It has a plurality of nodes 166 at the connection portion with the rigid element 156.

FIG. 11 is a diagram showing a structural analysis model 170 used in a building structural analysis method according to a comparative example. The structural analysis model 170 shown in FIG. 11 is constructed based on the design model 120 shown in FIG. 9. This structural analysis model 170 is a combination of a plurality of analysis models 150 shown in FIG. 10(B).

In the building structural analysis method according to the comparative example, structural analysis of the building 100 (see FIG. 9) is performed using the structural analysis model 170 shown in FIG. 11.

However, the building structural analysis method according to this comparative example has the following problems. That is, in the structural analysis model 170 constructed by the above method, the number of multiple nodes and the number of multiple spring elements becomes enormous. Further, characteristic values are required for each of this huge number of spring elements. For this reason, the structural analysis model 170 becomes complicated and analysis requires a huge amount of work time (processing time).

Next, one embodiment of the present invention will be described.

This embodiment was created in view of the problems in the above-mentioned comparative example. The purpose of this embodiment is to shorten the working time required to analyze a building having a steel frame 102 and a shear wall 104.

FIG. 1 is a block diagram showing the configuration of a building structural analysis apparatus 10 according to the present embodiment. A building structural analysis apparatus 10 shown in FIG. 1 executes a building structural analysis method to be described later. This building structural analysis device 10 includes an input device 12, an output device 14, a display device 16, and a computer 18.

The input device 12 includes, for example, a keyboard and a mouse. The output device 14 includes, for example, a printer. The display device 16 includes, for example, a liquid crystal display.

The computer 18 has a processor 20 and a memory 22 as a hardware configuration. The processor 20 includes a CPU (Central Processing Unit) and the like. The memory 22 includes ROM (Read Only Memory), RAM (Random Access Memory), storage, and the like.

The ROM stores various programs and various data. The RAM temporarily stores programs or data as a work area. The storage is configured with an HDD (Hard Disk Drive) or an SSD (Solid State Drive), and stores various programs including an operating system and various data.

A program 24 for executing structural analysis of a building is stored in the ROM or storage. The processor 20 reads the program 24 and executes the program 24 using the RAM as a work area.

A database 26 is connected to the computer 18 . The database 26 stores data on a design model 120 shown in FIG. 9 and various data for performing structural analysis of a building using this design model 120.

Further, the computer 18 includes a shear stiffness calculation section 28, a horizontal stiffness calculation section 30, a brace element replacement section 32, and a structural analysis execution section 34 as functional configurations.

The shear stiffness calculation unit 28, the horizontal stiffness calculation unit 30, the brace element replacement unit 32, and the structural analysis execution unit 34 are functional units realized by the processor 20 executing the program 24. The functions of each of the shear stiffness calculation section 28, horizontal stiffness calculation section 30, brace element replacement section 32, and structural analysis execution section 34 will be explained together with the building structural analysis method described later.

Next, a structural analysis method for a building according to this embodiment will be explained.

The building structural analysis method according to the present embodiment is executed using the building structural analysis apparatus 10 described above. In the building structural analysis method according to this embodiment, a structural analysis of the building 100 is performed using the design model 120 shown in FIG. FIG. 2 is a flowchart showing the flow of processing in the building structural analysis method according to the present embodiment.

As shown in FIG. 2, the building structural analysis method according to the present embodiment includes a shear stiffness calculation process, a horizontal stiffness calculation process, a brace element replacement process, and a structural analysis execution process.

The shear stiffness calculation process, horizontal stiffness calculation process, brace element replacement process, and structural analysis execution process are performed by the shear stiffness calculation unit 28, horizontal stiffness calculation unit 30, brace element replacement unit 32, and structural analysis shown in FIG. Each is executed by the execution unit 34.

In the following description, FIG. 1 will be referred to for the configuration of the building structural analysis apparatus 10, and FIG. 2 will be referred to for the processing flow in the building structural analysis method. Each process in the building structural analysis method will be described in detail below.

(Shear stiffness calculation process)
FIG. 3 is a diagram illustrating shear stiffness calculation processing. In FIG. 3, (A) is a front view of a hybrid structure 106 that combines a steel frame 102 and a shear wall 104, (B) is a side sectional view of the main part X shown in (A), and (C) is a (B) ) is a model of the main part X shown in FIG.

The hybrid structure 106 shown in FIG. 3(A) is an extracted version of the hybrid structure 106 in which the steel frame 102 and the shear wall 104 shown in FIG. 9 are combined, and the hybrid structure 106 shown in FIG. It has the same configuration as structure 106. As described above, the shear wall 104 in this hybrid structure 106 is, for example, a CLT shear wall. As shown in FIG. 3(B), this shear wall 104 more specifically has a plurality of orthogonal layers 112 and a plurality of parallel layers 114.

Each joint 108 that joins the upper and lower parts of the seismic wall 104 and the steel frame 102 has a steel plate insertion type two-sided shear joint structure using a drift pin. That is, each joint 108 has an insertion steel plate 116 and a plurality of drift pins 118. The inserted steel plate 116 is arranged parallel to the seismic wall 104. This inserted steel plate 116 is inserted inside the seismic wall 104. The plurality of drift pins 118 each extend in the thickness direction of the seismic wall 104. Each drift pin 118 is inserted into the seismic wall 104 and passes through the insertion steel plate 116.

As shown in FIG. 3(C), the main part X shown in FIG. 3(A) is modeled into a shear rigidity calculation model 40. The shear rigidity calculation model 40 includes a pin element 42 that models the drift pin 118, a plurality of bearing spring elements 44 that models the plurality of orthogonal layers 112, and a plurality of support spring elements that model the plurality of parallel layers 114. It has a pressure spring element 46. This shear stiffness calculation model 40 is built in the program 24 in advance.

In the shear rigidity calculation process, the shear rigidity of the joint 108 (shear joint) is calculated by the shear rigidity calculation unit 28. In this shear rigidity calculation process, for example, the shear force Q - displacement displacement δ relationship of each drift pin 118 is calculated based on the method shown in the wood structure design standard and its commentary (Architectural Institute of Japan). Then, the shear rigidity of the joint 108 is calculated.

Specifically, in this shear rigidity calculation process, when numerical values such as the dimensions and material of the drift pin 118 are input into the input device 12, the shear force Q - displacement displacement δ relationship for each drift pin 118 is calculated as described above. The shear rigidity calculation model 40 shown in FIG. 3(C) is used to calculate the shear rigidity of each drift pin 118. Furthermore, when the number of the plurality of drift pins 118 is input to the input device 12, the shear rigidity of each of the above-mentioned drift pins 118 is multiplied by the number of the plurality of drift pins 118. Shear stiffness is calculated.

(Horizontal stiffness calculation process)
FIG. 4 is a diagram illustrating horizontal stiffness calculation processing. 4, (A) is a diagram showing an analytical model 50 that models the hybrid structure 106 that combines the steel frame 102 and the shear wall 104 shown in FIG. 3 (A), and (B) is a diagram using the analytical model 50. FIG. 2 is a diagram illustrating a process of calculating horizontal stiffness.

The analytical model 50 is constructed in advance within the program 24. This analytical model 50 includes a frame element 52, a wire element 54, a pair of rigid elements 56, a pair of shear joint spring elements 58, and a plurality of bearing spring elements 60. The frame element 52 is a model of the steel frame 102, and the wire element 54 and the pair of rigid elements 56 are models of the shear wall 104.

The frame element 52 has an upper element 52A, a lower element 52B, and a pair of side elements 52C. The wire element 54 extends in the vertical direction, and the pair of rigid elements 56 each extend in the horizontal direction as an axial direction. The vertical direction and the horizontal direction indicate directions calculated by the computer 18. The horizontal direction corresponds to the width direction of the seismic wall 104.

The pair of rigid elements 56 are arranged above and below the wire element 54, and the upper and lower ends of the wire element 54 are respectively connected to the central portions of the pair of rigid elements 56 in the axial direction. The pair of rigid elements 56 have the same width as the shear wall 104.

The pair of shear joint spring elements 58 are models of each joint 108 that joins the upper and lower parts of the shear wall 104 to the steel frame 102, respectively. The pair of shear joint spring elements 58 are each arranged with the horizontal direction as the axial direction. Both ends of the upper shear joint spring element 58 are connected to the axial center of the upper rigid element 56 and the upper element 52A of the frame element 52, and both ends of the lower shear joint spring element 58 are connected to the lower It is connected to the axially central portion of the side rigid element 56 and the lower element 52B of the frame element 52.

The plurality of bearing pressure spring elements 60 are models of the plurality of bearing pressure parts 110 of the shear wall 104. The plurality of bearing spring elements 60 are each arranged with the vertical direction as the axial direction. The plurality of upper bearing pressure spring elements 60 are arranged at regular intervals in the axial direction of the upper rigid element 56, and the plurality of lower bearing pressure spring elements 60 are arranged along the axis of the lower rigid element 56. They are arranged at equal intervals in the direction.

Both ends of the plurality of upper bearing pressure spring elements 60 are connected to the upper rigid element 56 and the upper element 52A of the frame element 52, respectively, and both ends of the plurality of lower bearing pressure spring elements 60 are connected to the upper rigid element 56 and the upper element 52A of the frame element 52, respectively. It is connected to the side rigid element 56 and the lower element 52B of the frame element 52, respectively.

In the horizontal stiffness calculation process, the horizontal stiffness calculation unit analyzes the analytical model 50, so that the horizontal stiffness Kw of the shear wall 104 alone, which does not include the steel frame 102, is calculated as shown in FIG. 4(B). is calculated. The horizontal stiffness Kw is calculated as Kw=P/δ. P is a horizontal load acting on the upper part of the frame element 52 along the horizontal direction, and δ is the amount of displacement of the upper end of the wire element 54.

In this horizontal stiffness calculation process, when data necessary for analysis is input to the input device 12 according to the type of the shear wall 104, the horizontal stiffness Kw is calculated for the shear wall 104 whose data has been input to the input device 12. .

For the analysis performed in this horizontal stiffness calculation process, for example, analysis using the finite element method is used. Note that this analysis may be performed using a method other than the finite element method. Further, the horizontal rigidity Kw of the shear wall 104 alone may be calculated by performing calculation on the analytical model 50 instead of analysis.

In this horizontal stiffness calculation process, the stiffness of the seismic wall 104 itself and the stiffness of the bearing portion 110 are calculated by performing analysis or calculation on the analytical model 50. Further, based on the calculation results of the rigidity of the shear wall 104 and the stiffness of the bearing pressure part 110, and the calculation result of the shear rigidity of the joint 108 calculated in the above-mentioned shear rigidity calculation process, the horizontal rigidity of the shear wall 104 is calculated. Kw is calculated.

In this horizontal stiffness calculation process, the spring constant Ke of the bearing spring element 60 used to calculate the rigidity of the bearing part 110 is determined from the "Design and Construction Manual for Buildings Using CLT (2016)" (Japanese Housing Co., Ltd.), for example. (hereinafter referred to as the CLT manual), etc. The spring constant Ke of the bearing pressure spring element 60 set in this CLT manual is 15.6 N/mm ³ . Furthermore, the shear rigidity of the joint 108 (shear joint) calculated in the shear rigidity calculation process described above is used as the rigidity of the shear joint spring element 58.

(Brace element replacement processing)
FIG. 5 is a diagram illustrating the brace element replacement process. In FIG. 5, (A) is a diagram showing the brace element 62 determined from the above-mentioned horizontal stiffness Kw, and (B) is a diagram showing the analytical model 50 updated using the brace element 62.

In the brace element replacement process, the brace element replacement unit 32 obtains the brace element 62 shown in FIG. 5(A). Brace element 62 is X-shaped. In this brace element replacement process, a brace element 62 having an axial rigidity EA determined by the following equation (1) is determined from the above-mentioned horizontal rigidity Kw by the virtual work method.

However, L _B is the horizontal distance between the resultant bearing force acting on the upper rigid element 56 and the resultant bearing force acting on the lower rigid element 56, and θ is the distance between the pair of bearing forces forming the brace element 62. This is the inclination angle of the linear element 64 with respect to the vertical direction. The position of the contact point of the brace element 62 is assumed to be the position of the resultant bearing force, and is set at a point 1/12 of the length of the rigid element 56 (width of the shear wall 104) from the end of the rigid element 56. The brace element 62 thus formed is used as a compression-only element.

Subsequently, in this brace element replacement process, the brace element replacement unit 32 converts the analysis model 50 shown in FIG. 4A to FIG. The analysis model 50 shown in B) is updated.

That is, the wire element 54, the pair of rigid elements 56, the pair of shear joint spring elements 58, and the plurality of bearing spring elements 60 in the analytical model 50 shown in FIG. 4(A) are used as the brace shown in FIG. 5(A). element 62, thereby updating the analytical model 50 shown in FIG. 4(A) to the analytical model 50 shown in FIG. 5(B). This updated analytical model 50 is composed of a frame element 52 and a brace element 62. A node 66 is set at the connection between the brace element 62 and the frame element 52.

(Structural analysis execution process)
FIG. 6 is a diagram illustrating the structural analysis execution process. In the structural analysis execution process, the structural analysis execution unit 34 constructs a structural analysis model 70 based on the above-described design model 120 (see FIG. 9). This structural analysis model 70 is a combination of a plurality of the above-mentioned updated analysis models 50. In FIG. 6, only some of the plurality of brace elements 62 are shown for ease of understanding.

In the structural analysis execution process, a structural analysis of the building 100 (see FIG. 9) is executed using the structural analysis model 70 constructed from the updated plurality of analysis models 50.

(supplementary explanation)
The strength of the joint 108 between the steel frame 102 and the shear wall 104 is determined by the strength of the bearing portion 110 of the shear wall 104 and the strength of the joint 108 (shear joint). The yield strength of the brace element 62 is defined as the yield strength of the bearing pressure part 110 of the shear wall 104 and the yield strength of the joint 108 (shear joint) converted into the axial rigidity of the brace element 62, and the compressive yield strength Py is calculated by the formula ( Set as in 2).

In this embodiment, since no tensile force acts on the shear wall 104 itself, the brace element 62 is modeled as a compression-only element, and the tensile yield strength of the brace element 62 is set to zero. Furthermore, the elastic-plastic properties of the brace element 62 are bilinear. FIG. 7 is a diagram showing an example of the elastic-plastic characteristics of the brace element 62.

P _y1 is the compressive yield strength of the brace element 62 converted from the yield strength of the bearing portion 110 of the shear wall 104. The proof strength of the bearing portion 110 of the seismic wall 104 is set as shown in equation (3) in accordance with the CLT manual.

P _y2 is the compressive yield strength of the brace element 62 converted from the yield strength of the joint 108 (shear joint), and is calculated by equation (4).

The proof strength of the joint 108 (shear joint) is shown in FIG. 8 based on the shear yield strength per drift pin 118 in the joint 108 and the friction force acting on the bearing force, which is performed in the shear rigidity calculation process. It is set based on the relationship of the balance of forces. FIG. 8 is a diagram illustrating an example of the balance of forces at the joint 108 (shear joint).

A _e is the effective bearing area (t L/4), F _c is the compression standard strength of the shear wall 104, n _i is the number of drift pins 118 in the i row, _j K _n is the number of drift pins 118 in the i row This is the reduction factor by . _j K _n is as shown in Table 1. q _y is the shear yield strength per drift pin 118, and μ is the friction coefficient. μ is set to 0.3 from the CLT manual. As described above, θ is the angle of inclination of the pair of linear elements 64 constituting the brace element 62 with respect to the vertical direction.

Next, the functions and effects of this embodiment will be explained.

As detailed above, in this embodiment, the shear rigidity of the joint 108 is calculated in the shear rigidity calculation process (see FIG. 3). Next, in the horizontal stiffness calculation process (see FIG. 4), the stiffness of the shear wall 104 and the stiffness of the bearing portion 110 are calculated by performing analysis or calculation on the analytical model 50, and The horizontal rigidity of the shear wall 104 is calculated based on the calculation results of the stiffness of the shear wall 104 and the stiffness of the bearing portion 110, and the calculation result of the shear stiffness of the joint 108 calculated in the shear stiffness calculation process.

Next, in the brace element replacement process (see FIG. 5), an X-shaped brace element 62 having an axial stiffness EA from the horizontal stiffness is obtained by the virtual work method, and the wire element 54, the pair of rigid elements 56, and The pair of shear joint spring elements 58 and the plurality of bearing spring elements 60 are replaced with brace elements 62, and the analytical model 50 is updated.

Thereby, the analysis model 50 can be simplified, and the working time required for analysis can be shortened. In particular, in this embodiment, by using the brace element 62, the number of nodes 66 in the analytical model 50 can be reduced and the spring element can be eliminated. Therefore, it is possible to construct an analysis model 50 that is significantly simplified compared to the building structural analysis method according to the comparative example (see FIG. 10).

Although one embodiment of the present invention has been described above, the present invention is not limited to the above, and it is of course possible to implement various modifications other than the above without departing from the spirit thereof. It is.

DESCRIPTION OF SYMBOLS 10... Structural analysis device, 12... Input device, 14... Output device, 16... Display device, 18... Computer, 20... Processor, 22... Memory, 24... Program, 26... Database, 28... Shear stiffness calculation unit, 30... Horizontal stiffness calculation section, 32... Brace element replacement section, 34... Structural analysis execution section, 40... Model for calculating shear stiffness, 42... Pin element, 44... Bearing pressure spring element, 46... Bearing pressure spring element, 50... Analysis model , 52... Frame element, 52A... Upper element, 52B... Lower element, 52C... Side element, 54... Wire element, 56... Rigid element, 58... Breaking joint spring element, 60... Bearing pressure spring element, 62... Brace Element, 64... Linear element, 66... Node, 70... Structural analysis model, 100... Building, 102... Steel frame, 104... Shear wall, 106... Hybrid structure, 108... Joint part, 110... Bearing pressure part, 112... Orthogonal layer, 114... Parallel layer, 116... Insert steel plate, 118... Drift pin, 120... Design model, 150... Analysis model, 152... Frame element, 152A... Upper element, 152B... Lower element, 152C... Side element, 154... Wire rod element, 156... Rigid element, 158... Breaking connection spring element, 160... Compression spring element, 161... Tension spring element 166... Node, 170... Structural analysis model.

Claims (3)

A structural analysis method for a building having a frame-shaped steel frame and a seismic wall provided inside the steel frame and having upper and lower parts joined to the steel frame,
Shear rigidity calculation processing that calculates shear rigidity of a joint that connects the upper and lower parts of the seismic wall and the steel frame;
a frame element modeling the steel frame; a wire element extending vertically and modeling the earthquake-resistant wall; and a pair of rigid elements connected to the upper and lower ends of the wire element, respectively, and having the same width as the earthquake-resistant wall. a pair of shear joint spring elements each connected to the frame-like element and the pair of rigid body elements and modeling each of the joint parts; By performing analysis or calculation on an analytical model having a plurality of bearing pressure spring elements that model the bearing pressure part of the wall, the stiffness of the shear wall and the rigidity of the bearing pressure part are calculated, and the Horizontal stiffness that calculates the horizontal stiffness of the shear wall based on the calculation results of the stiffness of the shear wall and the stiffness of the bearing part, and the calculation result of the shear stiffness of the joint part calculated in the shear stiffness calculation process. calculation process,
An X-shaped brace element having an axial rigidity EA determined by the following equation (1) is determined from the horizontal rigidity using the virtual work method, and the wire element, the pair of rigid elements, and the pair of shear joint springs in the analytical model are a brace element replacement process of replacing the element and the plurality of bearing spring elements with the brace element and updating the analytical model;

a structural analysis execution process of performing a structural analysis of the building using the updated analytical model;
A structural analysis method for buildings with
However, Kw is the horizontal rigidity, _LB is the horizontal distance between the bearing pressure resultant force acting on the upper rigid element and the bearing pressure resultant force acting on the lower rigid element, and θ is This is the inclination angle with respect to the vertical direction of a pair of linear elements constituting the brace element. A structural analysis device for a building having a frame-shaped steel frame and a seismic wall provided inside the steel frame and having upper and lower parts joined to the steel frame,
a shear rigidity calculation unit that calculates shear rigidity of a joint that connects the upper and lower parts of the seismic wall and the steel frame;
a frame element modeling the steel frame; a wire element extending vertically and modeling the earthquake-resistant wall; and a pair of rigid elements connected to the upper and lower ends of the wire element, respectively, and having the same width as the earthquake-resistant wall. a pair of shear joint spring elements each connected to the frame-like element and the pair of rigid body elements and modeling each of the joint parts; By performing analysis or calculation on an analytical model having a plurality of bearing pressure spring elements that model the bearing pressure part of the wall, the stiffness of the shear wall and the rigidity of the bearing pressure part are calculated, and the Horizontal stiffness that calculates the horizontal rigidity of the shear wall based on the calculation results of the stiffness of the shear wall and the stiffness of the bearing pressure part, and the calculation result of the shear stiffness of the joint part calculated by the shear stiffness calculation part. A calculation section,
An X-shaped brace element having an axial rigidity EA determined by the following equation (1) is determined from the horizontal rigidity using the virtual work method, and the wire element, the pair of rigid elements, and the pair of shear joint springs in the analytical model are a brace element replacement unit that updates the analytical model by replacing the element and the plurality of bearing spring elements with the brace element;

a structural analysis execution unit that executes a structural analysis of the building using the updated analysis model;
A building structural analysis device equipped with
However, Kw is the horizontal rigidity, _LB is the horizontal distance between the bearing pressure resultant force acting on the upper rigid element and the bearing pressure resultant force acting on the lower rigid element, and θ is This is the inclination angle with respect to the vertical direction of a pair of linear elements constituting the brace element. A program for causing a computer to perform structural analysis of a building having a frame-shaped steel frame and a seismic wall provided inside the steel frame and having upper and lower parts joined to the steel frame,
Shear rigidity calculation processing that calculates shear rigidity of a joint that connects the upper and lower parts of the seismic wall and the steel frame;
a frame element modeling the steel frame; a wire element extending vertically and modeling the earthquake-resistant wall; and a pair of rigid elements connected to the upper and lower ends of the wire element, respectively, and having the same width as the earthquake-resistant wall. a pair of shear joint spring elements each connected to the frame-like element and the pair of rigid body elements and modeling each of the joint parts; By performing analysis or calculation on an analytical model having a plurality of bearing pressure spring elements that model the bearing pressure part of the wall, the stiffness of the shear wall and the rigidity of the bearing pressure part are calculated, and the Horizontal stiffness that calculates the horizontal stiffness of the shear wall based on the calculation results of the stiffness of the shear wall and the stiffness of the bearing part, and the calculation result of the shear stiffness of the joint part calculated in the shear stiffness calculation process. calculation process,
An X-shaped brace element having an axial rigidity EA determined by the following equation (1) is determined from the horizontal rigidity using the virtual work method, and the wire element, the pair of rigid elements, and the pair of shear joint springs in the analytical model are a brace element replacement process of replacing the element and the plurality of bearing spring elements with the brace element and updating the analytical model;

a structural analysis execution process of performing a structural analysis of the building using the updated analytical model;
A program that causes a computer to perform processing including.
However, Kw is the horizontal rigidity, _LB is the horizontal distance between the bearing pressure resultant force acting on the upper rigid element and the bearing pressure resultant force acting on the lower rigid element, and θ is This is the inclination angle with respect to the vertical direction of a pair of linear elements constituting the brace element.