Arch-shaped energy dissipation and vibration reduction support device for buildings

Abstract

This invention provides a bow-shaped energy dissipation and vibration damping support device for buildings, belonging to the technical field of building installations. It includes: steel columns, steel beams, and bow-shaped energy dissipation and vibration damping supports; the steel columns and beams form a frame structure via high-strength bolts or welding; the bow-shaped energy dissipation and vibration damping supports are installed inside the frame structure and are formed by cross-welding two bow-shaped steel pipes; the structure is simple and compact, and installation is convenient and flexible. Furthermore, the bow-shaped energy dissipation and vibration damping supports have excellent energy dissipation performance, effectively absorbing vibration input energy and reducing the dynamic response of the structure. Simultaneously, the device uses low-yield-point steel, exhibiting high strain rate sensitivity and excellent fatigue performance. Moreover, the bow-shaped energy dissipation and vibration damping supports are compatible with conventional steel column and beam frames, requiring no special structural arrangement, better meeting the actual usage requirements of buildings. This invention solves the problem of the relatively complex structure of current energy dissipation and vibration damping devices.

Description

Technical Field

[0001] This invention belongs to the field of building equipment technology, and more specifically, relates to a building bow-shaped energy dissipation and vibration reduction support device. Background Technology

[0002] Seismic design is a crucial component of building engineering. Currently, reinforced concrete frames and steel frame structures are commonly used seismic-resistant systems for buildings. Under strong earthquakes, these structures are prone to plastic deformation and localized damage, potentially leading to overall building collapse or severe damage. To improve the seismic performance of buildings, an effective method is to incorporate energy dissipation and vibration reduction devices into frame structures.

[0003] Structural dampers are mainly classified into velocity-dependent, displacement-dependent, and other types. Velocity-dependent dampers: The energy dissipation capacity of these dampers is related to the velocity magnitude and are typically composed of viscous or viscoelastic materials. Under seismic loading, they utilize the properties of viscous and viscoelastic materials to dissipate seismic energy; these are mainly divided into viscous dampers and viscoelastic dampers. Displacement-dependent dampers: The energy dissipation capacity of these dampers is related to the displacement magnitude and are typically composed of materials with good plastic deformation properties. Under reciprocating seismic loading, they dissipate seismic energy through plastic hysteresis, such as soft steel shear dampers, metal bending dampers, buckling-restrained braces, and friction dampers.

[0004] By installing dampers in certain parts of the building structure, the damping of the structure is increased, the vibration energy under earthquake is consumed, thereby reducing the vibration response and wind-induced vibration of the structure and improving the stability and comfort of the building.

[0005] However, these devices also have some problems: dampers are prone to temperature sensitivity and fatigue, and the energy dissipation capacity of a single damper is generally limited. Buildings with high seismic intensity or large scale often require a large number of dampers, leading to high costs and even space occupation and inconvenience. Furthermore, when these devices are used in the reinforcement and renovation of buildings, they often cause significant damage to the building facade, failing to restore the building to its original condition. Therefore, there is an urgent need for a new type of energy dissipation and vibration reduction device that is simple and reliable in structure, has superior performance, is easy to install, and has wide applicability to meet the needs of modern building seismic design and urban renewal. Summary of the Invention

[0006] In view of this, the present invention provides a building bow-shaped energy dissipation and vibration reduction support device, which can solve the problem of the relatively complex structure of current energy dissipation and vibration reduction devices.

[0007] This invention is implemented as follows:

[0008] This invention provides a building bow-shaped energy dissipation and vibration reduction support device, comprising: steel columns, steel beams and bow-shaped energy dissipation and vibration reduction supports; the steel columns and steel beams form a frame structure by means of high-strength bolts or welding; the bow-shaped energy dissipation and vibration reduction supports are disposed inside the frame structure, and the bow-shaped energy dissipation and vibration reduction supports are formed by cross-welding two bow-shaped steel pipes.

[0009] The radius of curvature R of the bow-shaped energy dissipation and damping support satisfies the following relationship with the support length L:

[0010]

[0011] In the formula, L is the straight-line distance between the ends of the support, in millimeters; h is the maximum vertical distance from the midpoint of the support to the end, in millimeters; when the support is designed to be symmetrical, the value of h is 0.1L≤h≤0.2L.

[0012] The cross-sectional dimensions of the bow-shaped energy dissipation and vibration reduction support satisfy the following relationship:

[0013]

[0014] In the formula, I is the moment of inertia of the supporting cross section, expressed in millimeters to the fourth power; P cr The critical buckling force of the support is expressed in Newtons; e is the elastic modulus of the support material, expressed in Pascals; the cross-section of the support is a rectangular steel tube or an H-beam, and the ratio of its flange width b to its web height h satisfies the following condition:

[0015] The relationship between the elastic deformation energy of the bow-shaped energy dissipation and damping support and the external force satisfies:

[0016]

[0017] In the formula, U is the elastic deformation energy in joules; P is the axial force in newtons; A is the cross-sectional area of ​​the support in square millimeters; M is the bending moment in newton-millimeter; δ is the axial deformation in millimeters; and θ is the rotation angle in radians.

[0018] The connection nodes between the arched energy dissipation and vibration reduction brace and the steel beam and steel column are hinged, and the design strength of the connecting bolts meets the following requirements:

[0019]

[0020] In the formula, N v.Rd α represents the design shear capacity of the bolt, expressed in Newtons. v f is the bolt shear resistance coefficient, taken as 0.6 for bolt grade 8.8 and 0.5 for bolt grade 10.9; ubThe ultimate strength of the bolt is expressed in megapascals (MPa); A s n is the shear cross-sectional area of ​​the bolt, expressed in square millimeters. s γ is the number of shear sections; M2 The resistance partial factor for bolted connections is 1.25.

[0021] The energy dissipation performance of the bow-shaped energy-dissipating and damping support satisfies the following:

[0022] E d =πσ y ε y Vξ;

[0023] In the formula, E d Energy consumption per cycle, measured in joules; σ y The yield strength of the supporting material, measured in megapascals (MPa); ε y V is the yield strain of the supporting material; V is the effective volume of the support in cubic millimeters; ξ is the equivalent damping ratio, which ranges from 0.15 to 0.25.

[0024] The bow-shaped energy dissipation and vibration reduction support is made of low yield point steel, and its material properties meet the following requirements:

[0025]

[0026] In the formula, σ y The dynamic yield strength is expressed in megapascals (MPa); σ y0 This is the static yield strength, measured in megapascals (MPa). Strain rate, in seconds; As a reference strain rate, 1×10⁻⁶ is used. -3 / second; x is the strain rate sensitivity index, with a value range of 0.1≤n≤0.2.

[0027] The fatigue performance of the bow-shaped energy dissipation and vibration reduction support satisfies the following:

[0028] N f =C(Δε) -m ;

[0029] In the formula, N f Fatigue life is expressed in cycles; Δε is the strain amplitude; C is the material constant, ranging from 1 × 10⁻⁶. 10 ≤C≤5×10 10 m is the slope exponent, with a value range of 3 ≤ m ≤ 4.

[0030] The stability check of the bow-shaped energy dissipation and vibration reduction support satisfies:

[0031] φ=0.5[1+α(λ-0.2)+λ 2 ];

[0032]

[0033] In the formula, φ is the intermediate calculated value of the stability coefficient; α is the initial defect coefficient, which is taken as 0.34; λ is the dimensionless slenderness ratio; and χ is the stability coefficient, whose value should satisfy χ≤1.0.

[0034] The design displacement response of the bow-shaped energy dissipation and vibration reduction support satisfies:

[0035]

[0036] In the formula, S d The displacement response spectrum is designed, and the unit is millimeters. ξ is the vibration acceleration time history, in millimeters per square second; ξ is the structural damping ratio; ω is the circular frequency, in radians per second; t max The duration of the vibration is measured in seconds.

[0037] Compared with existing technologies, the beneficial effects of the bow-shaped energy dissipation and vibration reduction support device for buildings provided by this invention are:

[0038] First, the device consists of two intersecting arched steel pipes, featuring a simple and compact structure that is easy and flexible to install. Second, the arched energy dissipation and vibration damping brace has excellent energy dissipation performance, effectively absorbing vibration input energy and reducing the structure's dynamic response. Simultaneously, the device uses low-yield-point steel, exhibiting high strain rate sensitivity and excellent fatigue performance. Furthermore, the arched energy dissipation and vibration damping brace can be directly added to the existing frame structure without requiring modifications to the wall structure within the plane, making it quick, convenient, and more suitable for reinforcement and renovation projects.

[0039] Compared with existing technologies, the building bow-shaped energy dissipation and vibration reduction support device of the present invention has the following advantages:

[0040] 1. Simple structure and easy installation: It is composed of two cross-shaped steel pipes, with a compact overall structure, which can be easily installed inside the steel frame structure.

[0041] 2. Good energy dissipation performance: By rationally designing the geometry and material properties of the bow-shaped support, vibration input energy can be effectively dissipated, reducing the dynamic response of the structure.

[0042] 3. Wide applicability: Appropriate stiffness can be selected based on specific design intent. Elastic stage,

[0043] It can provide stiffness to the structure; in the elastoplastic stage, it can deform and dissipate energy. It can be used directly in new construction projects or in reinforcement and renovation projects. When used in reinforcement and renovation projects, the amount of dismantling and alteration of the original structure is small, the number of additional devices is few, and the cost is low.

[0044] 4. Excellent fatigue performance: Made of low yield point steel, it has high strain rate sensitivity and good fatigue life, and can withstand repeated vibration loads.

[0045] In summary, this invention solves the problem of the complex structure of current energy dissipation and vibration reduction devices. Attached Figure Description

[0046] Figure 1 This is a schematic diagram of the bow-shaped energy dissipation and vibration reduction support for buildings according to the present invention;

[0047] Figure 2 This is a schematic diagram of an arc-shaped structure;

[0048] Figure 3 This is a curve diagram of the bow-shaped support frame;

[0049] Figure 4 A comparison of stress-strain curves for Q345B steel under static and dynamic loading;

[0050] Figure 5 Comparison of displacement response spectra;

[0051] The reference numerals in the attached drawings include: 1, steel column; 2, steel beam; 3, bow-shaped energy dissipation and vibration reduction brace. Detailed Implementation

[0052] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings.

[0053] like Figure 1 The diagram shown is a schematic of a building bow-shaped energy dissipation and vibration damping support device provided by the present invention. The device mainly consists of three parts: a steel column 1, a steel beam 2, and a bow-shaped energy dissipation and vibration damping support 3. The steel column and steel beam form a frame structure by means of high-strength bolts or welding, and the bow-shaped energy dissipation and vibration damping support is installed inside the frame structure.

[0054] This device is simple to manufacture and easy to install on-site. The cross-shaped arched energy-dissipating and vibration-damping brace is prefabricated in the factory and is not on the same plane as the beams and columns. It can be concealed or deliberately highlighted in architectural decoration, possessing a certain three-dimensional aesthetic. In particular, utilizing this spatial misalignment, up to four or more braces can be installed simultaneously, saving space for other column spans and reducing the impact on building function. Simultaneously, this structural form can also be used in reinforcement and renovation projects, offering convenient installation and minimal removal and reinforcement requirements. This arched energy-dissipating and vibration-damping brace can be systematically and modularly manufactured in the factory, achieving high processing precision, minimal installation errors, and a low error rate, effectively improving building quality.

[0055] The installation process of the bow-shaped energy dissipation and vibration damping support: The bow-shaped energy dissipation and vibration damping support 3 is prefabricated in the factory; after on-site positioning, the steel column 1 is first erected on the axis grid, and the steel beam 2 is set between the steel columns 1 to form a frame. Then the bow-shaped energy dissipation and vibration damping support 3 is positioned and installed to complete the installation.

[0056] The bow-shaped energy dissipation and vibration reduction brace is constructed by welding two bow-shaped steel pipes together. Its bow radius of curvature R and support length L satisfy the formula... Where h is the maximum vertical distance from the midpoint of the support to the end. When the support is symmetrical, the value of h is 0.1L≤h≤0.2L.

[0057] The cross-sectional dimensions of the bow-shaped energy dissipation and damping brace meet the requirements of the critical buckling bearing capacity, i.e. Where I is the moment of inertia of the supporting section, P cr The critical buckling force of the support is given by E, where E is the elastic modulus of the support material. The support uses a rectangular steel tube section, and the ratio of the flange width b to the web height g is within a certain range. Within the range.

[0058] The relationship between the elastic deformation energy and the external force of the bow-shaped energy dissipation and damping support satisfies the formula. Where U is the elastic deformation energy, P is the axial force, A is the cross-sectional area of ​​the support, M is the bending moment, δ is the axial deformation, and θ is the rotation angle.

[0059] The connection between the arched energy dissipation and vibration reduction brace and the steel beam and column is hinged, and the design strength of the connecting bolts should meet the requirements. Where N v.Rd α is the design value of the shear capacity of the bolt. v f is the shear strength coefficient of the bolt. ub A represents the ultimate strength of the bolt. s n is the shear area of ​​the bolt. s γ is the number of shear sections. M2 This is the resistance partial factor.

[0060] The energy dissipation performance of the bow-shaped energy dissipation and damping brace should meet E d =πσ y ε y Vξ, where E d For single-cycle energy consumption, σ y To support the yield strength of the material, ε y The yield strain of the supporting material is given by V, the effective volume of the support is given by ξ, and the equivalent damping ratio is given by ξ, which has a value range of 0.15≤ξ≤0.25.

[0061] The bow-shaped energy dissipation and vibration reduction brace is made of low yield point steel, and its material properties meet the requirements. Where σy For dynamic yield strength, σ y0 Static yield strength, For strain rate, The reference strain rate is n, which is the strain rate sensitivity index, and its value ranges from 0.1 to n.

[0062] The fatigue performance of the bow-shaped energy dissipation and damping support should meet the N requirement. f =C(Δε) -m , where N f Fatigue life is denoted by Δε, strain amplitude is Δε, and C is a material constant with a value range of 1×10⁻⁶. 10 ≤C≤5×10 10 m is the slope exponent, with a value range of 3 ≤ m ≤ 4.

[0063] The stability check of the bow-shaped energy dissipation and vibration reduction brace should satisfy φ=0.5[1+α(λ-0.2)+λ 2 ]and Where φ is the intermediate calculated value, α is the initial defect coefficient, λ is the dimensionless slenderness ratio, and χ is the stability coefficient, the value of which should satisfy χ≤1.0.

[0064] The design displacement response of the arched energy dissipation and damping support should meet the following requirements. Where S d To design the displacement response spectrum, Let ξ be the vibration acceleration time history, ω be the structural damping ratio, and t be the angular frequency. max For vibration duration.

[0065] Specifically, the principle of this invention is as follows: The building bow-shaped energy dissipation and vibration reduction support device of this invention mainly consists of three parts: steel columns, steel beams, and bow-shaped energy dissipation and vibration reduction supports. The steel columns and beams form a rigid frame structure through high-strength bolts or welding, and the bow-shaped energy dissipation and vibration reduction supports are installed inside this frame structure. The key to the bow-shaped energy dissipation and vibration reduction supports lies in rationally determining the relationship between its radius of curvature R and support length L. According to mechanical analysis, the bow-shaped support will produce axial deformation and bending deformation under stress, and its elastic deformation energy can be expressed as… Under vibration, the arched brace undergoes significant plastic deformation, thereby dissipating vibrational energy through plastic energy dissipation and reducing the dynamic response of the superstructure. To ensure sufficient compressive stability, its cross-sectional dimensions must meet certain requirements. The requirements are met. Simultaneously, the dynamic mechanical properties of the supporting materials are also crucial. Using low-yield-point steel can improve its strain rate sensitivity and fatigue performance, thereby further enhancing the energy dissipation and vibration reduction effect. Furthermore, the hinged connection between the bow-shaped brace and the steel columns and beams can effectively reduce the internal forces transmitted to the main structure, improving the overall seismic performance. Moreover, this device does not require initial structural design and can be flexibly installed within existing frame structures, meeting the actual needs of building seismic design.

[0066] In summary, the building bow-shaped energy dissipation and vibration reduction support device of the present invention, through reasonable design of its geometric parameters, material properties and connection methods, can effectively consume vibration input energy, reduce the dynamic response of the building, and improve the overall seismic performance. It is a new type of seismic and vibration reduction device with simple structure, flexible installation and excellent performance.

[0067] The following is an example of a specific application scenario of the present invention: An office building belonging to a large steel structure manufacturing company in a certain region. The main structure is a steel frame, with a total of 4 floors, a floor height of 5 meters, a span of 8 meters, and a total of 5×5 spans. Built at the end of the 20th century, the office building has been in use for a long time, and its seismic performance can no longer meet current usage requirements. Seismic assessment revealed that the main structure is prone to damage under earthquake loads, posing a significant safety hazard.

[0068] To improve the seismic performance of the steel frame structure, it was decided to install the bow-shaped energy dissipation and vibration damping bracing device of this invention inside the existing frame structure. Based on the specific conditions of the office building, the main parameters are as follows: each span of the frame consists of two H600×300×12×20 steel columns and one H500×300×8×16 steel beam; at the corners of the frame structure, four sets of bow-shaped energy dissipation and vibration damping bracing are installed from bottom to top, totaling 20 sets.

[0069] The specific design of the bow-shaped energy dissipation and vibration reduction support is as follows:

[0070] 1. Geometric parameter design: based on the formula After multiple iterations of calculation, the parameters of the bow-shaped support were determined as follows: support length L = 9430 mm, maximum vertical distance h from the midpoint of the support to the end point = 1000 mm, and corresponding radius of curvature R = 11615 mm.

[0071] 2. Cross-sectional dimension design: According to the requirements of critical buckling bearing capacity, the moment of inertia I of the arched brace should meet the following requirements. Based on stress calculations, determine the critical buckling force P of the support. cr =1500kN, using Q345B steel (E=2.06×10) 5 If the pressure is less than 4.15 MPa, then the cross-sectional dimensions of the support should satisfy I ≥ 4.15 × 10⁻⁶. 6mm^4. After cross-section optimization, the final H-section steel with dimensions of H350×175×7×11 was adopted.

[0072] 3. Connection Design: The arched brace is hinged to the steel columns and beams of the frame. M20 grade 10.9 high-strength bolts are used at the connection points, according to the formula... Where α v =0.5,f ub =1000MPa,A s =245mm 2 ,n s =2,γ M2 =1.25, from which the design value N of the shear bearing capacity of a single bolt can be calculated. v.Rd =218kN, which meets the connection strength requirements.

[0073] 4. Energy consumption performance design: According to formula E d =πσ y ε y Vξ, made of Q345B steel (σ y =345MPa,ε y =0.0017), and take ξ = 0.18. The calculated single-cycle energy dissipation E of a single set of bow-shaped supports is... d =33kJ, with a total energy dissipation capacity of up to 792kJ, which can effectively dissipate vibration input energy.

[0074] 5. Material Performance Design: The bow-shaped support is made of Q345B low yield point steel, and its dynamic yield strength meets the requirements. Where σ y0 =345MPa, n = 0.12. Under vibration, The dynamic yield strength can be increased to 415 MPa, further improving the energy dissipation performance of the support.

[0075] 6. Fatigue performance design: Based on formula N f =C(Δε) -m Using C = 1.8 × 10 10 m = 3.2. Calculations show that the bow-shaped support can withstand more than 1800 cycles under a design displacement of ±30mm, meeting the engineering requirements.

[0076] 7. Stability check: The formula φ=0.5[1+α(λ-0.2)+λ is used. 2 ]and A stability check was performed, where α = 0.34. The calculated values ​​are λ = 0.72, φ = 0.92, and χ = 0.84, which meet the stability requirement of χ ≤ 1.0.

[0077] 8. Displacement Response Analysis

[0078] According to the formula Combined with the vibration acceleration time history of the site where the office building is located With a structural damping ratio ξ = 0.07, the design displacement response spectrum S was calculated. d =65mm.

[0079] The following describes several simulation data points from this embodiment based on multiple data charts: Figure 3 The hysteretic behavior of the bow-shaped brace under cyclic loading is illustrated. The horizontal axis represents displacement (mm), and the vertical axis represents force (kN). The curve exhibits a typical S-shape, reflecting the nonlinear mechanical characteristics of the bow-shaped brace. This hysteretic behavior demonstrates that the bow-shaped brace possesses excellent energy dissipation performance, effectively dissipating energy under seismic loading and thus reducing the overall structural response. Figure 4 The stress-strain relationship of Q345B steel under static and dynamic loading conditions is shown. The blue curve represents the stress-strain relationship under static loading, and the orange curve represents the relationship under dynamic loading. As can be seen from the figure, under dynamic loading conditions, the steel exhibits a higher yield strength (approximately 415 MPa), which is beneficial for improving the energy dissipation performance of the support. Figure 5 The displacement response spectra of the original and modified structures were compared. The blue curve represents the displacement response spectrum of the original structure, and the orange curve represents the displacement response spectrum of the modified structure. The figures show that the displacement response of the modified structure is reduced in all periods, indicating that the installation of the bow-shaped energy dissipation and damping brace effectively improves the seismic performance of the structure.

[0080] In summary, by installing bow-shaped energy dissipation and vibration reduction bracing devices inside the steel structure, its seismic performance has been significantly improved, mainly in the following aspects:

[0081] 1. The reasonable geometric parameter design gives the bow support good energy dissipation performance, which can effectively reduce the dynamic response under vibration.

[0082] 2. The use of a hinged connection method simplifies the installation process while meeting strength requirements;

[0083] 3. The support is made of low yield point steel, which has both excellent strain rate sensitivity and fatigue characteristics, ensuring long-term reliability.

[0084] 4. The overall solution is technically simple, widely applicable, requires no large-scale modification of the existing structure, and meets the seismic requirements of existing buildings.

[0085] Based on the above analysis, the seismic performance of the steel structure has been greatly improved after the modification with the bow-shaped energy dissipation and vibration reduction support device, achieving the corresponding seismic fortification target.

[0086] The above description is merely a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any changes or substitutions that can be easily conceived by those skilled in the art within the scope of the technology disclosed in the present invention should be included within the scope of protection of the present invention.

Claims

1. A building bow-shaped energy dissipation and vibration reduction support device, characterized in that... It includes: steel columns, steel beams and arched energy dissipation and vibration reduction supports; the steel columns and steel beams form a frame structure by high-strength bolts or welding; the arched energy dissipation and vibration reduction supports are set inside the frame structure, and the arched energy dissipation and vibration reduction supports are formed by cross-welding two arched steel pipes; The radius of curvature of the bow-shaped energy dissipation and damping support is... With support length The following relationship exists between them: ; In the formula, The straight-line distance between the support ends, in millimeters; The maximum vertical distance from the midpoint to the end of the support, expressed in millimeters; when the support is designed symmetrically, The range of values ​​is ; The cross-sectional dimensions of the bow-shaped energy dissipation and vibration reduction support satisfy the following relationship: ; In the formula, The moment of inertia of the supporting cross section, expressed in millimeters to the fourth power; The critical buckling force for support, measured in Newtons; The elastic modulus of the supporting material is expressed in Pascals; the cross-section of the support is a rectangular steel tube with a flange width of [missing information]. With web height The ratio satisfies: .

2. The building bow-shaped energy dissipation and vibration reduction support device according to claim 1, characterized in that... The relationship between the elastic deformation energy of the bow-shaped energy dissipation and damping support and the external force satisfies: ; In the formula, Elastic deformation energy, measured in joules; This is the axial force, measured in Newtons. The cross-sectional area of ​​the support is expressed in square millimeters. The bending moment is expressed in Newton-millimeter (N·mm). This refers to axial deformation, measured in millimeters. The angle is expressed in radians.

3. The building bow-shaped energy dissipation and vibration reduction support device according to claim 2, characterized in that... The connection nodes between the arched energy dissipation and vibration reduction support and the steel beams and columns are hinged, and the design strength of the connecting bolts meets the following requirements: ; In the formula, This represents the design value of the bolt's shear capacity, expressed in Newtons. The shear resistance coefficient for bolts is 0.6 for bolt grade 8.8 and 0.5 for bolt grade 10.

9. The ultimate strength of the bolt is expressed in megapascals (MPa). This represents the shear cross-sectional area of ​​the bolt, expressed in square millimeters. Number of shear sections; The resistance partial factor for bolted connections is 1.

25.

4. The building bow-shaped energy dissipation and vibration reduction support device according to claim 3, characterized in that... The energy dissipation performance of the bow-shaped energy dissipation and damping support meets the following requirements: ; In the formula, Energy consumption per cycle, measured in joules; The yield strength of the supporting material is expressed in megapascals (MPa). To support the yield strain of the material; The effective volume of the support is expressed in cubic millimeters. The equivalent damping ratio has a range of values. .

5. The building bow-shaped energy dissipation and vibration reduction support device according to claim 4, characterized in that... The bow-shaped energy dissipation and vibration reduction support is made of low yield point steel, and its material properties meet the following requirements: ; In the formula, Dynamic yield strength, measured in megapascals (MPa). Static yield strength, in megapascals (MPa). Strain rate, in seconds; As a reference strain rate, take / Second; The strain rate sensitivity index has a value range of [value range missing]. .

6. The building bow-shaped energy dissipation and vibration reduction support device according to claim 5, characterized in that... The fatigue performance of the bow-shaped energy dissipation and vibration reduction support meets the following requirements: ; In the formula, Fatigue life is measured in cycles. The strain amplitude; Here is a material constant, and its value range is... ; The slope exponent has a range of values. .

7. The building bow-shaped energy dissipation and vibration reduction support device according to claim 6, characterized in that... The stability check of the bow-shaped energy dissipation and vibration reduction support satisfies: ; ; In the formula, This is an intermediate calculated value for the stability coefficient; The initial defect coefficient is set to 0.

34. Dimensionless slenderness ratio; As the stability coefficient, its value should satisfy... .

8. The building bow-shaped energy dissipation and vibration reduction support device according to claim 7, characterized in that... The design displacement response of the bow-shaped energy dissipation and vibration reduction support satisfies: ; In the formula, The displacement response spectrum is designed, with units in millimeters; The vibration acceleration time history is expressed in millimeters per square second. The structural damping ratio; Circular frequency, measured in radians per second; The duration of the vibration is measured in seconds.

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