Method and equipment for determining installation position of beam damper in frame structure

Abstract

The present application discloses a method and device for determining the installation position of a beam damper of a frame structure. The method includes: determining the total number of dampers to be installed in the first and second directions of a target building; determining the number of sub-dampers on each floor according to the total number of dampers and the inter-story displacement angles in the first and second directions of each floor of the target building under earthquake action; determining the elastic strain energy change rate of the frame beam end in the first and second directions of each floor; and determining the installation position of the dampers in the first and second directions of each floor of the target building according to the elastic strain energy change rate and the number of sub-dampers. The present application avoids the problems of low efficiency caused by the traditional beam damper design method being highly dependent on personal experience and judgment, and does not require the use of complex algorithms such as genetic algorithms. It greatly reduces the complexity and time cost of the damper installation position algorithm, making the beam damper design simpler and more efficient.

Description

Technical Field

[0001] The present application relates to the technical field of earthquake-resistant building structures, and in particular to a method and device for determining the installation position of a beam damper of a frame structure. Background Art

[0002] With the development of society and the economy, people's demands for building safety are becoming increasingly stringent. However, the traditional seismic design method of increasing the strength and stiffness of the structure to resist earthquakes has certain drawbacks. Therefore, engineers have begun to focus on energy dissipation and vibration reduction technology. This technology installs energy dissipation devices in certain parts of the building structure (such as supports, nodes, expansion joints or connectors, between adjacent buildings, and between main and auxiliary structures). The hysteretic deformation of the energy dissipation devices dissipates or absorbs the seismic input energy, thereby reducing the seismic response of the main structure. In recent years, the hysteretic energy dissipation capacity of various dampers has been significantly improved. Furthermore, to enhance the damping effect of dampers on the structure, it is necessary to rationally design the placement of dampers in the building structure, making the determination of the number and location of dampers a key consideration in the design of seismic structures.

[0003] Currently, in the design of a shock-absorbing frame structure using a beam damper, engineers usually design and arrange the damper position based on experience; or, they design and optimize the damper position based on a genetic algorithm.

[0004] The above-mentioned design method based on engineer experience is highly dependent on personal experience and judgment, resulting in low engineering efficiency and poor design results; the design method based on intelligent algorithms has a complex process, is time-consuming, and has limited practicality. Summary of the Invention

[0005] The purpose of this application is to provide a method and device for determining the installation position of a frame structure beam damper, so as to achieve accurate design of the installation position of the beam damper.

[0006] To achieve the above objectives, this application provides the following solutions:

[0007] In a first aspect, the present application provides a method for determining an installation position of a beam damper of a frame structure, the method comprising:

[0008] Obtaining a total number of dampers required to be installed in a first direction and a second direction of a target building, wherein the target building is a frame structure and the dampers are beam dampers;

[0009] Determining the number of sub-dampers to be installed on each floor in the first direction and the second direction according to the total number of dampers and the inter-story drift angles of each floor of the target building in the first direction and the second direction under earthquake action;

[0010] Obtaining the elastic strain energy change rate of the frame beam ends in the first direction and the second direction of each floor;

[0011] The installation positions of the dampers that need to be installed in the first direction and the second direction on each floor of the target building are determined according to the corresponding elastic strain energy change rate of each frame beam end and the number of the sub-dampers.

[0012] In some embodiments of the first aspect, obtaining the total number of dampers required to be installed in the first direction and the second direction of the target building includes:

[0013] The total number of dampers required for the target building in the first direction is determined using the following formula:

[0014]

[0015] The total number of dampers required for the target building in the second direction is determined using the following formula:

[0016]

[0017] Wherein, A is the total area of ​​the target building, f x is the natural frequency in the first direction, f y is the natural frequency in the second direction, and b is the number of dampers that need to be installed per unit area of ​​the target building.

[0018] In some embodiments of the first aspect, determining the number of sub-dampers to be installed on each floor in the first direction and the second direction based on the total number of dampers and the inter-story drift angles in the first direction and the second direction of each floor of the target building under earthquake action includes:

[0019] The number of sub-dampers in the first direction is determined using the following formula:

[0020]

[0021] The number of sub-dampers in the second direction is determined using the following formula:

[0022]

[0023] in, i The floors of the target building with a frame structure, N xi For the i The number of dampers installed in the first direction of the layer, N yi For the i The number of dampers installed in the second direction of the layer, D xiFor the i The inter-story displacement angle in the first direction of the layer, D yi For the i The inter-story displacement angle in the second direction of the layer, is the sum of the inter-story displacement angles in the first direction of all floors, It is the sum of the inter-story displacement angles in the second direction of all floors.

[0024] In some embodiments of the first aspect, determining the elastic strain energy change rate of the frame beam ends in the first direction and the second direction of each floor includes:

[0025] Obtaining the forces applied in the first direction and the second direction on each floor of the target building;

[0026] determining the elastic strain energy of the corresponding floor in the first direction and the second direction based on the action force applied to each floor of the target building in the first direction and the second direction, wherein the action force is a horizontal force applied to the center of mass of each floor;

[0027] The elastic strain energy change rate of the frame beam ends of each floor in the first direction and the second direction is determined according to the elastic strain energy in the first direction and the second direction.

[0028] In some embodiments of the first aspect, the horizontal force applied to the center of mass of each floor is expressed as:

[0029]

[0030] in, Si For the i Floor area of ​​the layer, H i For the i Floor height of the layer, V b is the unit horizontal force, which is 1 kN;

[0031] Then the elastic strain energy of each floor in the first direction and the second direction can be expressed as:

[0032]

[0033]

[0034] in, M For any component in the target building x and the bending moment at the y position, e is the elastic modulus of the material, I is the section inertia moment of any component in the target building, L is the length of components, and the components are beams and columns in the target building.

[0035] In some embodiments of the first aspect, determining the elastic strain energy change rate of the frame beam ends of each floor in the first direction and the second direction based on the elastic strain energy in the first direction and the second direction includes:

[0036] Calculate the elastic strain energy change rate of each frame beam in the first direction and the second direction of each floor according to the elastic strain energy in the first direction and the second direction of each floor;

[0037] The elastic strain energy change rates of each frame beam are summed to obtain the elastic strain energy change rates in the first direction and the second direction of each floor.

[0038] In some embodiments of the first aspect, the elastic strain energy change rate corresponding to each frame beam in the first direction and the second direction is calculated using the following formula:

[0039]

[0040]

[0041] in, k represents the frame beam in the target building, E xk For the k One end of the frame beam in the first direction is configured to be hinged to provide elastic strain energy corresponding to the hinge; E yk For the k One end of the frame beam in the second direction is configured to be hinged to generate elastic strain energy corresponding to the hinge.

[0042] In some embodiments of the first aspect, determining the installation positions of the dampers in the first direction and the second direction on each floor of the target building based on the elastic strain energy change rate corresponding to each frame beam end and the number of the sub-dampers includes:

[0043] Determine the rotation center coordinate position of each floor, wherein the rotation center coordinate position includes a first direction coordinate value and a second direction coordinate value;

[0044] The frame beams of each floor in the first direction and the second direction are grouped based on the rotation center coordinate position, to obtain the first group and the second group in the first direction, and the third group and the fourth group in the second direction;

[0045] Determine a preset number of frame beam ends with the largest strain energy change rate in the first group, the second group, the third group and the fourth group. The positions of the determined preset number of frame beam ends are the installation positions of the dampers. The preset number is half of the number of sub-dampers in the corresponding direction.

[0046] In some embodiments of the first aspect, the coordinate position of the rotation center of each floor is determined using the following formula:

[0047]

[0048]

[0049] in, X ri 、 Y ri is the rotation center coordinate value of each floor, A j is the cross-sectional area of ​​the jth column, is the section moment of inertia of the j-th column in the first direction, is the section moment of inertia of the j-th column in the second direction, is the coordinate of the first direction of the j-th column, is the coordinate of the second direction of the j-th column.

[0050] In a second aspect, the present application provides a processing device, comprising: a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the method for determining the installation position of a frame structure beam damper as described in the first aspect.

[0051] According to the specific embodiments provided in this application, the following technical effects are disclosed:

[0052] The present application provides a method and device for determining the installation position of a beam damper of a frame structure. The method obtains the total number of dampers required in two directions for a target building of the frame structure, and then determines the number of sub-dampers corresponding to the two directions of each floor based on the total number of dampers and the inter-story displacement angles of each floor in the first and second directions, and obtains the elastic strain energy change rate of the frame beam ends of each floor in the first and second directions. Finally, based on the determined elastic strain energy change rate of each frame beam end of each floor and the number of sub-beam dampers, the installation position of the damper on each floor is determined, thereby achieving accurate and efficient design of the installation position of the beam damper in a frame structure building, avoiding the problem of low efficiency caused by the traditional beam damper design method being highly dependent on personal experience and judgment, and eliminating the need for complex algorithms such as genetic algorithms, thereby greatly reducing the complexity and time cost of the damper installation position algorithm, making the beam damper design simpler and more efficient. BRIEF DESCRIPTION OF THE DRAWINGS

[0053] Figure 1 This is a flow chart of a method for determining an installation position of a beam damper in a frame structure according to some embodiments of the present application;

[0054] Figure 2 This is a schematic structural diagram of a frame structure building according to some embodiments of the present application;

[0055] Figure 3 A schematic diagram of the elastic strain energy change rate of each frame beam end of a frame structure building in some embodiments of the present application;

[0056] Figure 4 This is a schematic structural diagram of the installation position of the damper in some embodiments of the present application;

[0057] Figure 5 A schematic structural diagram of a processing device provided in some embodiments of the present application. DETAILED DESCRIPTION

[0058] The following will be combined with the drawings in the embodiments of this application to clearly and completely describe the technical solutions in the embodiments of this application. Obviously, the embodiments described are only part of the embodiments of this application, not all of the embodiments. Based on the embodiments in this application, all other embodiments obtained by ordinary technicians in this field without making creative efforts are within the scope of protection of this application.

[0059] In order to make the above-mentioned purposes, features and advantages of the present application more obvious and easy to understand, the present application is further described in detail below with reference to the accompanying drawings and specific implementation methods.

[0060] It can be understood that for buildings with frame structures, dampers are usually installed on their beams or columns in order to reduce vibration.

[0061] For example, Figure 2 The frame structure building shown is a steel frame structure with 3 spans in the first direction and 4 spans in the second direction, and a total of three floors.

[0062] And as Figure 2 As shown, in order to facilitate the determination of the installation position, the lower left corner can be defined as the coordinate origin, then the x direction can be the first direction, and the y direction can be the second direction.

[0063] The beam damper in the embodiment of the present application can be an energy dissipation device installed on the beam of the frame structure or the beam-column connection part, which dissipates seismic energy through its own deformation, thereby reducing the response of the structure under earthquake action.

[0064] In order to improve the shock absorption effect of the damper on the structure, the layout of the damper in the building structure is reasonably designed to achieve the best shock absorption effect.

[0065] In this application, in order to solve the problems of low efficiency and poor effect caused by the traditional beam damper design method being highly dependent on personal experience and judgment, and to avoid the problems of low efficiency and poor practicality when performing position design through intelligent algorithms, this application utilizes the elastic strain energy change rate of the frame beam end as the basis for judging the installation position of the beam damper, making the design simpler and more efficient.

[0066] The method for determining the installation position of a frame structure beam damper provided in the present application can be executed by a processing device having a computer program stored thereon, so that when the software program is run, the installation position of the frame structure beam damper can be determined.

[0067] The processing device may be a computer device such as a computer or a notebook computer with data processing capabilities.

[0068] In order to better understand the method for determining the installation position of the frame structure beam damper provided in the present application, it is described in detail below with reference to the accompanying drawings.

[0069] Figure 1 FIG. 1 is a flow chart of a method for determining the installation position of a frame structure beam damper provided in some embodiments of the present application, as shown in FIG. Figure 1 As shown, the method may specifically include:

[0070] S110: Obtain the total number of dampers required to be installed in a first direction and a second direction of a target building, where the target building is a frame structure and the dampers are beam dampers.

[0071] S120: Determine the number of sub-dampers to be installed on each floor in the first direction and the second direction according to the total number of dampers and the inter-story displacement angles of each floor of the target building in the first direction and the second direction under earthquake action.

[0072] S130, obtaining the elastic strain energy change rate of the frame beam ends in the first direction and the second direction of each floor.

[0073] S140, determining the installation positions of the dampers that need to be installed in the first direction and the second direction on each floor of the target building according to the corresponding elastic strain energy change rate of each frame beam end and the number of the sub-dampers.

[0074] Specifically, in an embodiment of the present application, in order to quickly, accurately, and simply determine the positions of beam dampers installed on a frame structure building, the processing device may first obtain the total number of beam dampers required to be installed on the target building in the first direction and the second direction.

[0075] For example, based on the experience of engineers, the total number N of dampers arranged in the first direction (such as x) and the second direction (such as y) of the target building can be obtained by direct input according to the type of beam dampers and the shock absorption target. x 、N y .

[0076] Furthermore, the total number of dampers and the inter-story drift angles of each floor under the earthquake in the first direction and the second direction can be used to calculate the D xi 、 D yi , determine the number of dampers that need to be arranged in two directions on each floor, that is, the number of sub-dampers, such as N xi 、 N yi .

[0077] Furthermore, the elastic strain energy change rates of the frame beam ends in the first direction and the second direction of each floor of the target building are calculated and obtained respectively.

[0078] Finally, the installation position of the beam damper on each floor is determined based on the number of sub-dampers in the first and second directions of each floor calculated in the above steps, and the elastic strain energy change rate of the frame beam end of each floor in the first and second directions.

[0079] It can be understood that the method for determining the installation position of the frame structure beam damper provided in the embodiment of the present application determines the total number of dampers required in two directions for the target building of the frame structure, and then determines the number of sub-dampers corresponding to the two directions of each floor based on the total number of dampers and the inter-story displacement angles of each floor in the first direction and the second direction, and determines the elastic strain energy change rate of the frame beam end of each floor in the first direction and the second direction. Finally, according to the determined elastic strain energy change rate of each frame beam end of each floor and the number of sub-beam dampers, the installation position of the damper on each floor is determined, thereby realizing accurate and efficient design of the installation position of the beam damper in the frame structure building, avoiding the problem of low efficiency caused by the traditional beam damper design method being highly dependent on personal experience and judgment, and also eliminating the need for complex algorithms such as genetic algorithms, which greatly reduces the complexity and time cost of the damper installation position algorithm, making the beam damper design simpler and more efficient.

[0080] Optionally, in some embodiments of the present application, in S110, the total number of dampers can be determined by estimating the number of beam dampers required per square meter on each floor based on the area, building function, and damper model of the target building, and then the corresponding total number of beam dampers can be calculated based on the natural frequencies in two directions of the target building.

[0081] It can be calculated by the following formula:

[0082]

[0083]

[0084] Where A is the total area of ​​the target building (m 2 ), f x is the natural frequency in the first direction, i.e., the x-direction, f y is the natural frequency in the second direction, i.e. the y direction, b The number of dampers that need to be installed per unit area.

[0085] b can be determined based on engineers' experience, such as by estimating based on the building's function and damper model. For example, the number of dampers required per unit area can be estimated based on the different vibration reduction requirements of different building functions, such as medical, industrial, and commercial.

[0086] Optionally, in some embodiments of the present application, in S120, the number of sub-dampers corresponding to each floor in the first direction and the second direction is determined based on the total number of dampers in the two directions and the inter-story drift angle of each floor under the action of earthquakes in the two directions. Specifically, the number of sub-dampers corresponding to each floor in the first direction and the second direction can be determined by the following formula:

[0087]

[0088]

[0089] in, i The floors of the target building with a frame structure, N xi For the i The number of dampers installed in the first direction of the layer, that is, in the x direction, N yi For the i The number of dampers installed in the second direction of the layer, the y direction, D xi For the i The inter-story displacement angle in the first direction of the layer, D yi For the i The inter-story displacement angle in the second direction of the layer, is the sum of the inter-story displacement angles in the first direction of all floors, It is the sum of the inter-story displacement angles in the second direction of all floors.

[0090] It can be understood that after empirically determining the total number of beam dampers required in two directions for a target building with a frame structure, the number of beam dampers required in two directions for each floor, i.e., the number of sub-dampers, is determined based on the inter-story displacement angles in two directions under earthquake action on each floor, thus achieving a floor-by-floor determination process.

[0091] Optionally, in some embodiments of the present application, in S130, determining the elastic strain energy change rate of the frame beam ends of each floor in the first direction and the second direction may specifically include the following steps:

[0092] S131, obtaining the forces applied in the first direction and the second direction on each floor of the target building.

[0093] S132, determining the elastic strain energy of the corresponding floor in the first direction and the second direction based on the force applied in the first direction and the second direction to each floor of the target building, where the force is a horizontal force applied to the center of mass of each floor.

[0094] S133: Determine the elastic strain energy change rate of the frame beam ends of each floor in the first direction and the second direction according to the elastic strain energy in the first direction and the second direction.

[0095] Specifically, in an embodiment of the present application, in order to determine the rate of change of elastic strain energy of each frame beam end in the first direction and the second direction of each floor of the target building, a force can be first applied to each floor in the first direction and the second direction, that is, a horizontal force is applied to the center of mass of each floor, so that the processing equipment obtains the force applied in the first direction and the second direction of each floor of the target building.

[0096] For example, the horizontal force applied at the center of mass of each floor can be expressed as follows:

[0097]

[0098] in, S i For the i Floor area of ​​the layer, H i For the i Floor height of the layer, V b As the unit horizontal force, 1kN can be taken.

[0099] Then the elastic strain energy of the corresponding floor in the first direction and the second direction can be expressed as:

[0100]

[0101]

[0102] in,M For any component in the target building x and the bending moment at the y position, e is the elastic modulus of the material, I is the section inertia moment of any component in the target building, L is the component length.

[0103] The any component may include any beam and column in the frame structure target building.

[0104] Optionally, for S133, when calculating the elastic strain energy change rate in the first direction and the second direction of each floor based on the elastic strain energy, since each floor includes multiple frame beams in the first direction and the second direction, each frame beam in the two directions of each floor can be calculated one by one by traversal, and finally summed up to obtain the total elastic strain energy change rate.

[0105] That is, in some embodiments, determining the elastic strain energy change rate of the frame beam ends of each floor in the first direction and the second direction based on the elastic strain energy in the first direction and the second direction may specifically include the following steps:

[0106] S01: setting one end of each frame beam in the first direction and the second direction of each floor as a hinge, and determining the elastic strain energy corresponding to the hinge structure of each frame beam end.

[0107] S02: Determine the elastic strain energy change rate of the frame beam ends of each floor in the first direction and the second direction based on the elastic strain energy in the first direction and the second direction and the elastic strain energy corresponding to the hinged structure.

[0108] Specifically, first, one end of each frame beam in the first and second directions of each floor can be set as a hinge through traversal, and the elastic strain energy corresponding to the hinge structure at each frame beam end can be determined one by one. Then, according to the above S132, the elastic strain energy in the first and second directions, as well as the elastic strain energy corresponding to the hinge structure, can be determined to determine the elastic strain energy change rate of the frame beam end in the first and second directions of each floor.

[0109] For example, for a frame beam of a certain floor, such as the kth frame beam, for the kth x-direction frame beam, one end of the kth x-direction frame beam can be set as a hinge, and then the elastic strain energy E of the hinge structure can be calculated under the same horizontal load as described in S131. xk .

[0110] Furthermore, the elastic strain energy change rate of one end of the kth x-direction frame beam can be calculated by the following formula:

[0111]

[0112] in,k represents the frame beam in the target building, E xk The elastic strain energy corresponding to the hinge is set for one end of the frame beam in the kth first direction.

[0113] Further, if Figure 3 As shown, all x-direction frame beams of the floor can be traversed, and the above steps can be repeated to obtain the elastic strain energy change rate of each x-direction frame beam end of the floor.

[0114] Similarly, for the second direction, such as the k-th y-direction frame beam, one end of the k-th second-direction frame beam can be set as a hinge, and the elastic strain energy of the structure can be calculated under the same horizontal load as described in S131. E yk .

[0115] That is, the strain energy change rate at one end of the k-th y-direction frame beam can be calculated using the following formula:

[0116]

[0117] in, E yk The elastic strain energy corresponding to the hinge is set for one end of the frame beam in the kth second direction.

[0118] Further, if Figure 3 As shown, all y-direction frame beams are traversed, and the above steps are repeated to obtain the elastic strain energy change rate of all y-direction frame beam ends, and the elastic strain energy change rate of each frame beam end in the second direction of the floor is obtained.

[0119] Optionally, in some embodiments of the present application, after determining the elastic strain energy change rate of all frame beam ends in each direction on each floor through the above steps, the positions at which the beam dampers are installed in the first direction and the second direction on each floor of the target building are determined based on the elastic strain energy change rate and the number of the beam dampers. This can be specifically achieved through the following steps:

[0120] S141, determining the rotation center coordinate position of each floor, where the rotation center coordinate position includes a first direction coordinate value and a second direction coordinate value.

[0121] S142, grouping the frame beams in the first direction and the second direction of each floor using the rotation center coordinate position as a boundary to obtain the first group and the second group in the first direction, and the third group and the fourth group in the second direction.

[0122] S143, determining a preset number of frame beam ends with the largest strain energy change rate in the first group, the second group, the third group and the fourth group, the positions of the determined preset number of frame beam ends are the installation positions of the damper, and the preset number is half of the number of sub-dampers in the corresponding direction.

[0123] Specifically, in the embodiment of the present application, the coordinate position of the rotation center of each floor can be calculated first.

[0124] For example, in some embodiments, it can be calculated by the following formula:

[0125]

[0126]

[0127] in, X ri 、 Y ri is the rotation center coordinate value of each floor, A j is the cross-sectional area of ​​the jth column, is the section inertia moment of the jth column in the first direction (i.e., x direction), is the section inertia moment of the jth column in the second direction (i.e., y direction), is the coordinate of the first direction of the j-th column, is the coordinate of the second direction of the j-th column.

[0128] Furthermore, after determining the rotation center coordinate position of each floor, the frame beams in the x and y directions of each floor can be grouped based on the rotation center coordinate position, to obtain the first and second groups in the x direction, and the third and fourth groups in the y direction for each floor.

[0129] For example, Figure 4 As shown, for the i The center coordinate position of the layer (X ri , Y ri ), with Y=Y ri The x-direction frame beams are divided into two groups: group S xa (ie the first group) and group S xb (i.e. the second group).

[0130] Correspondingly, we can use X=X ri The y-direction frame beams are divided into two groups: group S ya (ie the third group) and group S yb (i.e. the fourth group).

[0131] Finally, by traversing the group Sxa and Group S xb Search for the corresponding positions of the preset number of frame beam ends with the largest strain energy change rate in the first i The optimal placement of the x-direction damper. ya and Group S yb Search for the corresponding positions of the preset number of frame beam ends with the largest strain energy change rate in the first i Optimal arrangement position of the layer y-direction damper.

[0132] In some embodiments, the preset number may be half of the number of sub-dampers in the corresponding direction, and the positions of the preset number of frame beam ends are the installation positions of the dampers.

[0133] It can be understood that in the embodiment of the present application, the elastic strain energy change rate of the frame beam ends of each floor in the first direction and the second direction is determined by traversing, and then according to the determined elastic strain energy change rate of each frame beam end of each floor and the number of beam dampers, the frame beam ends with the largest elastic strain energy change rate are found, and then their positions are determined as the optimal installation positions of the dampers on each floor. Finally, the accurate and efficient design of the installation position of the beam damper in the frame structure building is achieved, avoiding the problems of low efficiency caused by the traditional beam damper design method being highly dependent on personal experience and judgment, and no need for complex algorithms such as genetic algorithms, which greatly reduces the complexity and time cost of the damper installation position algorithm, making the beam damper design simpler and more efficient.

[0134] On the other hand, in some embodiments of the present application, in order to better understand the determination of the installation position of the beam damper in the present application, the following provides Figure 2 The frame structure building shown is used as an example to explain.

[0135] like Figure 2 As shown, the frame structure building is a steel frame structure with 3 spans in the x direction and 4 spans in the y direction, with a total of three floors and a floor height of 3.3m. The steel grade used is Q235, the frame column adopts a box section with a section size of 350 (section width) x350 (section height) x16 (section wall thickness), the frame beam adopts an H-section with a section size of 550 (section height) x250 (section width) x8 (cladding thickness) x12 (flange thickness), the secondary beam adopts an H-section with a section size of 400 (section height) x200 (section width) x8 (cladding thickness) x12 (flange thickness), the size unit is millimeters, and the structure has one to three floors.

[0136] When designing the installation location of the damper, the total area of ​​the building can be calculated as 2304m 2, using beam dampers, the preliminary estimate is that every 80m 2 One set is required.

[0137] Furthermore, in this embodiment, the natural frequencies in the first direction and the second direction are f x and f y Can be set to 1.038s -1 .

[0138] Then the estimated number of dampers arranged in the x and y directions is:

[0139] N x = N y =2304 / (2×80)≈14.

[0140] Furthermore, the structure was subjected to multiple earthquake analysis, and the inter-layer displacement angle under the x-direction earthquake was obtained as follows:

[0141] 1 / 1056 (first floor), 1 / 766 (second floor), 1 / 1146 (third floor);

[0142] The inter-layer displacement angle of the structure under the y-direction earthquake is:

[0143] 1 / 1233 (first floor), 1 / 928 (second floor), 1 / 1406 (third floor).

[0144] Further, according to the formula:

[0145]

[0146] The calculated number of x-direction dampers on each floor is:

[0147] N x1 =4 (one layer), N x2 =6 (second floor), N x3 =4 (three layers).

[0148] Similarly, according to the formula:

[0149]

[0150] The calculated number of dampers arranged in the y direction of each layer is:

[0151] N y1 =4 (one layer), N y2 =6 (second floor), N y3 =4 (three layers).

[0152] Furthermore, horizontal forces are applied to the floors along the x and y directions. The horizontal forces on each floor in the x direction are Fx1=Fx2=Fx3=0.33kN, and the horizontal forces on each floor in the y direction are F y1 =F y2 =F y3 =0.33kN, according to the structural elastic strain energy calculation formula provided in the above embodiment:

[0153]

[0154] Then the strain energy of the structure in the x and y directions can be obtained:

[0155] E x =0.12963 kJ;

[0156] E y =0.09635kJ.

[0157] Furthermore, according to the rotation center coordinate calculation formula of the above embodiment, the rotation center coordinates of each floor are calculated to be (12000, 16000).

[0158] Furthermore, in the first layer, one end of any x-direction frame beam is set as a hinge, and the elastic strain energy of the structure is calculated. E xk , thus obtaining the strain energy change rate at this position:

[0159]

[0160] In addition, all x-direction frame beams are traversed to obtain the elastic strain energy change rate of all x-direction frame beam ends.

[0161] Similarly, one end of any y-direction frame beam is set as a hinge, and the elastic strain energy E of the structure is calculated. yk , thus obtaining the strain energy change rate at this position:

[0162]

[0163] In addition, all y-direction frame beams are traversed to obtain the elastic strain energy change rate of all y-direction frame beam ends.

[0164] Then, according to the above formula, the specific calculation results are as follows: Figure 3 shown.

[0165] Furthermore, the x-direction frame beams can be divided into two groups at the boundary of y=16000, namely group S xa and Group S xb ; In group S xa and Group S xbSearch for N with the largest strain energy change rate xi / 2 positions, that is, 2 positions.

[0166] The frame beams in the y direction are divided into two groups at the boundary of x=12000, namely group S ya and Group S yb ; In group S ya and Group S yb Search for N with the largest strain energy change rate yi / 2 positions, that is, 2 positions. Figure 4 shown.

[0167] Furthermore, in the second and third layers, the above steps are repeated to search for the corresponding position, and the damper is set at the resulting position, thereby realizing the design of the damper position.

[0168] It can be understood that the method for determining the installation position of the frame structure beam damper provided in the embodiment of the present application determines the total number of dampers required in two directions for the target building of the frame structure, and then determines the number of sub-dampers corresponding to the two directions of each floor based on the total number of dampers and the inter-story displacement angles of each floor in the first direction and the second direction, and determines the elastic strain energy change rate of the frame beam end of each floor in the first direction and the second direction. Finally, according to the determined elastic strain energy change rate of each frame beam end of each floor and the number of sub-beam dampers, the installation position of the damper on each floor is determined, thereby realizing accurate and efficient design of the installation position of the beam damper in the frame structure building, avoiding the problem of low efficiency caused by the traditional beam damper design method being highly dependent on personal experience and judgment, and also eliminating the need for complex algorithms such as genetic algorithms, which greatly reduces the complexity and time cost of the damper installation position algorithm, making the beam damper design simpler and more efficient.

[0169] On the other hand, the present application provides a device for determining the installation position of a frame structure beam damper, the device comprising:

[0170] A first acquisition module is configured to acquire a total number of dampers to be installed in a first direction and a second direction of a target building, wherein the target building is a frame structure and the dampers are beam dampers;

[0171] a determination module, configured to determine the number of sub-dampers to be installed on each floor in the first direction and the second direction according to the total number of dampers and the inter-story drift angles of each floor of the target building in the first direction and the second direction under earthquake action;

[0172] A second acquisition module is used to obtain the elastic strain energy change rate of the frame beam end in the first direction and the second direction of each floor;

[0173] The positioning module is used to determine the installation positions of the dampers that need to be installed in the first direction and the second direction on each floor of the target building according to the corresponding elastic strain energy change rate of each frame beam end and the number of the sub-dampers.

[0174] Optionally, in the apparatus for determining an installation position of a beam damper of a frame structure in some embodiments of the present application, the first determining module is specifically configured to:

[0175] The total number of dampers required for the target building in the first direction is determined using the following formula:

[0176]

[0177] The total number of dampers required for the target building in the second direction is determined using the following formula:

[0178]

[0179] Wherein, A is the total area of ​​the target building, f x is the natural frequency in the first direction, f y is the natural frequency in the second direction, and b is the number of dampers that need to be installed per unit area of ​​the target building.

[0180] Optionally, in the apparatus for determining an installation position of a beam damper of a frame structure in some embodiments of the present application, the second determining module is specifically configured to:

[0181] The number of sub-dampers in the first direction is determined using the following formula:

[0182]

[0183] The number of sub-dampers in the second direction is determined using the following formula:

[0184]

[0185] in, i The floors of the target building with a frame structure, N xi For the i The number of dampers installed in the first direction of the layer, N yi For the i The number of dampers installed in the second direction of the layer, D xi For the i The inter-story displacement angle in the first direction of the layer, D yi For the i The inter-story displacement angle in the second direction of the layer, is the sum of the inter-story displacement angles in the first direction of all floors, It is the sum of the inter-story displacement angles in the second direction of all floors.

[0186] Optionally, in the apparatus for determining an installation position of a beam damper of a frame structure in some embodiments of the present application, the third determining module is specifically configured to:

[0187] Obtaining the forces applied in the first direction and the second direction on each floor of the target building;

[0188] determining the elastic strain energy of the corresponding floor in the first direction and the second direction based on the action force applied to each floor of the target building in the first direction and the second direction, wherein the action force is a horizontal force applied to the center of mass of each floor;

[0189] The elastic strain energy change rate of the frame beam ends of each floor in the first direction and the second direction is determined according to the elastic strain energy in the first direction and the second direction.

[0190] Optionally, in the apparatus for determining the installation position of a beam damper in a frame structure in some embodiments of the present application, the horizontal force applied to the centroid of each floor is expressed as:

[0191]

[0192] in, S i For the i Floor area of ​​the layer, H i For the i Floor height of the layer, V b is the unit horizontal force, which is 1 kN;

[0193] Then the elastic strain energy of each floor in the first direction and the second direction can be expressed as:

[0194]

[0195]

[0196] in, M For any component in the target building x and the bending moment at the y position, e is the elastic modulus of the material, I is the section inertia moment of any component in the target building, L is the length of components, and the components are beams and columns in the target building.

[0197] Optionally, in the apparatus for determining an installation position of a beam damper of a frame structure in some embodiments of the present application, the third determining module is specifically configured to:

[0198] Setting one end of each frame beam in the first direction and the second direction of each floor to be hinged, and determining the elastic strain energy corresponding to the hinge structure of each frame beam end;

[0199] The elastic strain energy change rate of the frame beam ends of each floor in the first direction and the second direction is determined according to the elastic strain energy in the first direction and the second direction and the elastic strain energy corresponding to the hinged structure.

[0200] Optionally, in the apparatus for determining an installation position of a beam damper of a frame structure in some embodiments of the present application, the third determining module is specifically configured to:

[0201] The following formula is used to determine the elastic strain energy change rate of the frame beam ends in the first and second directions of each floor:

[0202]

[0203]

[0204] in, k represents the frame beam in the target building, E xk The elastic strain energy corresponding to the hinge connection of one end of the frame beam in the kth first direction; E yk The elastic strain energy corresponding to the hinge is set for one end of the frame beam in the kth second direction.

[0205] Optionally, in the apparatus for determining the installation position of a beam damper of a frame structure in some embodiments of the present application, the positioning module is specifically configured to:

[0206] Determine the rotation center coordinate position of each floor, wherein the rotation center coordinate position includes a first direction coordinate value and a second direction coordinate value;

[0207] The frame beams of each floor in the first direction and the second direction are grouped based on the rotation center coordinate position, to obtain the first group and the second group in the first direction, and the third group and the fourth group in the second direction;

[0208] Determine a preset number of frame beam ends with the largest strain energy change rate in the first group, the second group, the third group and the fourth group. The positions of the determined preset number of frame beam ends are the installation positions of the dampers. The preset number is half of the number of sub-dampers in the corresponding direction.

[0209] Optionally, the apparatus for determining the installation position of a beam damper of a frame structure in some embodiments of the present application uses the following formula to determine the coordinate position of the rotation center of each floor:

[0210]

[0211]

[0212] in, X ri 、 Y ri is the rotation center coordinate value of each floor, A j is the cross-sectional area of ​​the jth column, is the section moment of inertia of the j-th column in the first direction, is the section moment of inertia of the j-th column in the second direction, is the coordinate of the first direction of the j-th column, is the coordinate of the second direction of the j-th column.

[0213] In an exemplary embodiment, a processing device is further provided, which includes at least a memory and a processor. The memory stores a computer program, and the processor implements the steps in the above method embodiments when executing the computer program.

[0214] The above-mentioned processing device can be exemplarily a server or a terminal, and its internal exemplary structure is as follows: Figure 5 As shown. The processing device includes a processor, a memory, an input / output interface (Input / Output, abbreviated as I / O) and a communication interface. The processor, memory and input / output interface are connected via a system bus, and the communication interface is connected to the system bus via the input / output interface. The processor of the processing device is used to provide computing and control capabilities. The memory of the processing device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system, a computer program and a database. The internal memory provides an environment for the operation of the operating system and computer program in the non-volatile storage medium. The database of the processing device is used to store the data and programs involved in the aforementioned embodiments. The input / output interface of the processing device is used to exchange information between the processor and an external device. The communication interface of the processing device is used to communicate with an external terminal via a network connection. When the computer program is executed by the processor, it implements the method for determining the installation position of the frame structure beam damper in the aforementioned embodiments.

[0215] Those skilled in the art will understand that Figure 5 The structure shown in the figure is only a block diagram of a part of the structure related to the solution of the present application, and does not constitute a limitation on the processing device to which the solution of the present application is applied. The specific processing device may include more or fewer components than shown in the figure, or combine certain components, or have a different component arrangement.

[0216] In an exemplary embodiment, a computer-readable storage medium is provided, storing a computer program. When the computer program is executed by a processor, the steps in the above-mentioned method embodiments are implemented.

[0217] In an exemplary embodiment, a computer program product is provided, including a computer program. When the computer program is executed by a processor, the steps in the above method embodiments are implemented.

[0218] Those skilled in the art will appreciate that all or part of the processes in the above-described method embodiments, or the functions of the modules in the above-described determination device, can be implemented by instructing the relevant hardware through a computer program. The computer program can be stored in a non-volatile computer-readable storage medium. When executed, the computer program can include the processes of the above-described method embodiments. Any reference to a memory, database, or other medium used in the embodiments provided herein may include at least one of non-volatile and volatile memory. Non-volatile memory may include read-only memory (ROM), magnetic tape, floppy disk, flash memory, optical memory, high-density embedded non-volatile memory, resistive random access memory (ReRAM), magnetic random access memory (MRAM), ferroelectric random access memory (FRAM), phase change memory (PCM), graphene memory, etc. Volatile memory may include random access memory (RAM) or external cache memory, etc. By way of illustration and not limitation, RAM may be in various forms, such as static random access memory (SRAM) or dynamic random access memory (DRAM).

[0219] The technical features of the above embodiments can be combined arbitrarily. To make the description concise, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0220] This document uses specific examples to illustrate the principles and implementation methods of this application. The description of the above examples is only intended to help understand the method and core concept of this application. At the same time, for those skilled in the art, based on the concept of this application, there may be changes in the specific implementation methods and application scope. In summary, the content of this specification should not be understood as limiting this application.

Claims

1. A method for determining the installation position of a frame structure beam damper, characterized in that: The method comprises: Obtaining a total number of dampers required to be installed in a first direction and a second direction of a target building, wherein the target building is a frame structure and the dampers are beam dampers; Determining the number of sub-dampers to be installed on each floor in the first direction and the second direction according to the total number of dampers and the inter-story drift angles of each floor of the target building in the first direction and the second direction under earthquake action; Obtaining the elastic strain energy change rate of the frame beam ends in the first direction and the second direction of each floor; Determine the rotation center coordinate position of each floor, wherein the rotation center coordinate position includes a first direction coordinate value and a second direction coordinate value; The frame beams of each floor in the first direction and the second direction are grouped based on the rotation center coordinate position, to obtain the first group and the second group in the first direction, and the third group and the fourth group in the second direction; Determine a preset number of frame beam ends with the largest strain energy change rate in the first group, the second group, the third group and the fourth group. The positions of the determined preset number of frame beam ends are the installation positions of the dampers. The preset number is half of the number of sub-dampers in the corresponding direction.

2. The method for determining the installation position of a frame structure beam damper according to claim 1, characterized in that: The method of obtaining the total number of dampers required to be installed in the first direction and the second direction of the target building includes: The total number of dampers required for the target building in the first direction is determined using the following formula: ； The total number of dampers required for the target building in the second direction is determined using the following formula: ； Wherein, A is the total area of ​​the target building, f x is the natural frequency in the first direction, f y is the natural frequency in the second direction, b The number of dampers that need to be installed per unit area of ​​the target building.

3. The method for determining the installation position of a frame structure beam damper according to claim 1, wherein: Determining the number of sub-dampers to be installed on each floor in the first direction and the second direction according to the total number of dampers and the inter-story drift angles of each floor of the target building in the first direction and the second direction under earthquake action includes: The number of sub-dampers in the first direction is determined using the following formula: ； The number of sub-dampers in the second direction is determined using the following formula: ； in, i The floors of the target building with a frame structure, N xi For the i The number of dampers installed in the first direction of the layer, N yi For the i The number of dampers installed in the second direction of the layer, D xi For the i The inter-story displacement angle in the first direction of the layer, D yi For the i The inter-story displacement angle in the second direction of the layer, is the sum of the inter-story displacement angles in the first direction of all floors, It is the sum of the inter-story displacement angles in the second direction of all floors.

4. The method for determining the installation position of a frame structure beam damper according to claim 1, characterized in that: The obtaining of the elastic strain energy change rate of the frame beam ends in the first direction and the second direction of each floor includes: Obtaining the forces applied in the first direction and the second direction on each floor of the target building; determining the elastic strain energy of the corresponding floor in the first direction and the second direction based on the action force applied to each floor of the target building in the first direction and the second direction, wherein the action force is a horizontal force applied to the center of mass of each floor; The elastic strain energy change rate of the frame beam ends of each floor in the first direction and the second direction is determined according to the elastic strain energy in the first direction and the second direction.

5. The method for determining the installation position of a frame structure beam damper according to claim 4, characterized in that: The horizontal force applied to the center of mass of each floor is expressed as: ； in, Si For the i Floor area of ​​the layer, H i For the i Floor height of the layer, V b is the unit horizontal force, which is 1 kN; Then the elastic strain energy of each floor in the first direction and the second direction can be expressed as: ； ； in, M For any component in the target building x and the bending moment at the y position, e is the elastic modulus of the material, I is the section inertia moment of any component in the target building, L is the length of components, and the components are beams and columns in the target building.

6. The method for determining the installation position of a frame structure beam damper according to claim 5, characterized in that: Determining the elastic strain energy change rate of the frame beam ends of each floor in the first direction and the second direction according to the elastic strain energy in the first direction and the second direction includes: Setting one end of each frame beam in the first direction and the second direction of each floor to be hinged, and determining the elastic strain energy corresponding to the hinge structure of each frame beam end; The elastic strain energy change rate of the frame beam ends of each floor in the first direction and the second direction is determined according to the elastic strain energy in the first direction and the second direction and the elastic strain energy corresponding to the hinged structure.

7. The method for determining the installation position of a frame structure beam damper according to claim 6, characterized in that: Determining the elastic strain energy change rate of the frame beam ends of each floor in the first direction and the second direction based on the elastic strain energy in the first direction and the second direction and the elastic strain energy corresponding to the hinged structure includes: The following formula is used to determine the elastic strain energy change rate of the frame beam ends in the first and second directions of each floor: ； ； in, k represents the frame beam in the target building, E xk The elastic strain energy corresponding to the hinge connection of one end of the frame beam in the kth first direction; E yk The elastic strain energy corresponding to the hinge is set for one end of the frame beam in the kth second direction.

8. The method for determining the installation position of a frame structure beam damper according to claim 6, wherein: Use the following formula to determine the coordinate position of the rotation center of each floor: ； ； in, X ri 、 Y ri is the rotation center coordinate value of each floor, A j is the cross-sectional area of ​​the jth column, is the section moment of inertia of the j-th column in the first direction, is the section moment of inertia of the j-th column in the second direction, is the coordinate of the first direction of the j-th column, is the coordinate of the second direction of the j-th column.

9. A processing device, characterized in that The processing device includes: a memory, a processor, and a computer program stored in the memory and executable on the processor. The processor executes the computer program to implement the method for determining the installation position of a frame structure beam damper according to any one of claims 1 to 8.

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