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CN118166927B - X-shaped support with replaceable energy consumption connection and design method thereof - Google Patents

X-shaped support with replaceable energy consumption connection and design method thereof Download PDF

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CN118166927B
CN118166927B CN202410113504.8A CN202410113504A CN118166927B CN 118166927 B CN118166927 B CN 118166927B CN 202410113504 A CN202410113504 A CN 202410113504A CN 118166927 B CN118166927 B CN 118166927B
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variable
end metal
energy dissipation
energy
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CN118166927A (en
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马宏伟
朱锦怡
刘鹏
徐健聪
何文辉
翁益显
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South China University of Technology SCUT
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    • EFIXED CONSTRUCTIONS
    • E04BUILDING
    • E04BGENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
    • E04B1/00Constructions in general; Structures which are not restricted either to walls, e.g. partitions, or floors or ceilings or roofs
    • E04B1/62Insulation or other protection; Elements or use of specified material therefor
    • E04B1/92Protection against other undesired influences or dangers
    • E04B1/98Protection against other undesired influences or dangers against vibrations or shocks; against mechanical destruction, e.g. by air-raids
    • EFIXED CONSTRUCTIONS
    • E04BUILDING
    • E04HBUILDINGS OR LIKE STRUCTURES FOR PARTICULAR PURPOSES; SWIMMING OR SPLASH BATHS OR POOLS; MASTS; FENCING; TENTS OR CANOPIES, IN GENERAL
    • E04H9/00Buildings, groups of buildings or shelters adapted to withstand or provide protection against abnormal external influences, e.g. war-like action, earthquake or extreme climate
    • E04H9/02Buildings, groups of buildings or shelters adapted to withstand or provide protection against abnormal external influences, e.g. war-like action, earthquake or extreme climate withstanding earthquake or sinking of ground
    • E04H9/021Bearing, supporting or connecting constructions specially adapted for such buildings
    • GPHYSICS
    • G06COMPUTING OR CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/17Mechanical parametric or variational design
    • GPHYSICS
    • G06COMPUTING OR CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • GPHYSICS
    • G06COMPUTING OR CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14Force analysis or force optimisation, e.g. static or dynamic forces

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  • Environmental & Geological Engineering (AREA)
  • General Physics & Mathematics (AREA)
  • General Engineering & Computer Science (AREA)
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  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Analysis (AREA)
  • Computational Mathematics (AREA)
  • Electromagnetism (AREA)
  • Vibration Dampers (AREA)
  • Buildings Adapted To Withstand Abnormal External Influences (AREA)
  • Vibration Prevention Devices (AREA)

Abstract

The invention discloses an X-shaped support with replaceable energy consumption connection and a design method thereof. The X-shaped support with the replaceable energy consumption connection comprises a box-shaped section support, a gusset plate, a connecting plate, a high-strength bolt and a variable-section round-end metal energy consumption piece. The end part of the box-shaped section support is provided with a slot, the joint plate and the box-shaped section support are assembled in a clamping and inserting mode and then welded, the other side of the joint plate is welded with the connecting plate to form a T shape, the box-shaped section support, the joint plate and the connecting plate are in bilateral symmetry, and the variable-section round-end metal energy dissipation piece is arranged between the connecting plates and connected through a high-strength bolt. Under the action of an earthquake, the variable cross-section round end metal energy dissipation piece is subjected to shearing yielding to dissipate energy, and the high-strength bolt on the variable cross-section round end metal energy dissipation piece can be disassembled after the earthquake, so that the replacement of the energy dissipation piece is realized. The invention has the advantages of simple structure, definite stress, convenient design, good performance, easy replacement after earthquake, easy maintenance and good economic benefit.

Description

X-shaped support with replaceable energy consumption connection and design method thereof
Technical Field
The invention belongs to the field of structural engineering in civil engineering, and particularly relates to an X-shaped support with replaceable energy consumption connection and a design method thereof.
Background
Since the 21 st century, remarkable progress has been made in terms of structural energy dissipation and shock absorption. The energy dissipation and shock absorption technology aims to improve the performance of the structure under the action of earthquake by arranging energy dissipation components. These energy dissipating members may first plastically deform when an earthquake occurs, thereby providing additional damping to the structure and effectively dissipating the energy generated by the earthquake. This helps to reduce the impact of the earthquake on the body structure and reduces the risk of damage to the structure. The damper is used as an energy dissipation component, has simple structural form, is more convenient to design, has better hysteresis performance and is widely applied in the aspect of structural shock absorption and energy dissipation.
The steel frame support system has larger lateral rigidity in the elastic stage, and has weak energy consumption capability under the rare earthquake action, and after the support is pressed and buckled, the lateral rigidity resistance of the structure is obviously reduced, and the structure is easily damaged due to the loss of bearing capability. The damper and the common steel support are combined to form the energy dissipation support, so that additional rigidity can be provided for the structure, and the plastic energy dissipation of the damper can be firstly generated under the action of an earthquake, so that the support main body does not buckle, and the integral performance of the structure is protected.
Xu Liyan et al in the study of mechanical properties and theoretical model of Low yield Point Steel shear damper, a novel shear Steel plate damper device is proposed. The influence of experimental parameters including the width-to-thickness ratio of the web, the arrangement of stiffening ribs, the structure of web holes, a cyclic loading system and the like is researched, and the excellent anti-seismic performance of the shear steel plate damper is proved. But the steel beam connected with the damper is required to bear a relatively large load.
Gray et al, in the scholars DESIGN AND Full-SCALE TESTING of A CAST STEEL YIELDING brain SYSTEMIN A Braced Frame, propose a center support system (YBS) with triangular stiffened metal dampers mounted at the ends of the center support and connected to the frame posts by gusset plates. The damper has a relatively complex structure and has a certain difficulty in construction.
Disclosure of Invention
The invention aims to solve the current engineering needs and provides an X-shaped support with replaceable energy consumption connection, which is simple in structure and relatively simple and convenient in design, and a design method thereof. Aiming at the stress characteristic of the variable cross-section round end metal energy dissipation part when the variable cross-section round end metal energy dissipation part is used for X-shaped support, the construction form and the design method provided by the invention have stronger engineering application value.
The X-shaped support with the replaceable energy consumption connection comprises a box-shaped section support, a gusset plate, a connecting plate and a variable-section round-end metal energy consumption piece.
The end part of the box-shaped section support is provided with a slot, and the node plate and the box-shaped section support are assembled in a clamping and inserting mode and then welded;
The other side of the node plate is welded with the connecting plate to form a T shape, and the box-shaped support, the node plate and the connecting plate are in bilateral symmetry;
The variable cross-section round end metal energy dissipation piece is arranged between the connecting plates.
Further, the variable cross-section round end metal energy dissipation piece is a variable cross-section energy dissipation piece and comprises two semicircular end plates for bearing the energy dissipation effect and two variable cross-section straight plates which are oppositely arranged, wherein two semicircular end plates are respectively arranged at two ends of each variable cross-section straight plate, and the two variable cross-section straight plates are fixedly connected with the connecting plate through high-strength bolts.
Further, the support can be a box type or a channel steel or H-shaped steel member.
Preferably, the variable cross-section round end metal energy dissipation member is constructed in a mode that the geometric parameters of the energy dissipation member are given, wherein the geometric parameters comprise the thickness t of a steel plate, the end width b' of the variable cross-section straight plate, the outer diameter R of a semicircle end and the total length d of the variable cross-section straight plate, and the variable cross-section straight plate is shown in figure 3. The single variable cross-section round end metal energy dissipation piece comprises four parts, namely two semicircular end plates ABC and DEF, two variable cross-section straight plates AF and CD, and two semicircular end plates are welded at two ends of each variable cross-section straight plate respectively to form a semicircle. The variable cross-section straight plates AF and CD are connected with the connecting plate through high-strength bolts in the joints and are non-energy-consuming connected parts in the component, and the semicircular arc sections ABC and DEF are parts of the component which bear the energy consumption effect.
Further, the variable cross-section round end metal energy dissipation part is made of Q235 steel, low yield steel LY225 or LY160, the semicircular end plate is made of straight plate through cold bending, and the bolt hole is a standard hole, a large round hole or a slotted hole.
An X-shaped support design method with a variable cross-section round end metal energy dissipation part comprises the following steps:
The variable cross-section round end metal energy dissipation piece comprises two semicircular end plates for bearing the energy dissipation effect and two opposite variable cross-section straight plates, and as the bending moment at the intersection of the variable cross-section straight plates and the semicircular end plates of the variable cross-section round end metal energy dissipation piece is maximum, the variable cross-section straight plates can possibly bend and deform, the semicircular sections of the variable cross-section round end metal energy dissipation piece after deformation are not strictly standard semicircular arcs, and the variable cross-section round end metal energy dissipation piece works together for the two semicircular arcs. According to the forced deformation, obtaining the expressions of the corrected yield load F y, the initial rigidity K 0 and the second rigidity K' of the variable-section round-end metal energy dissipation piece, wherein a restoring force model of the variable-section round-end metal energy dissipation piece is determined by the following parameters of the outer diameter R, the thickness t, the middle width b of a variable-section straight plate, the yield strength F y, the yield load correction coefficient alpha, the initial rigidity correction coefficient beta and the second rigidity correction coefficient gamma of the variable-section round-end metal energy dissipation piece;
Under the action of earthquake, the frame moves laterally in horizontal direction, the supports bear different internal forces, two supports in diagonal direction bear pulling force, and the other two diagonal supports bear pressure, the axial forces generated by horizontal load of four steel supports are intersected at the energy consumption joint, after force decomposition, the horizontal forces in horizontal direction are balanced with each other, and shearing force acts on the variable-section round-end metal energy dissipation piece in vertical direction. In this case, the variable cross-section round end metal energy dissipation piece is controlled to be subjected to shearing yielding and dissipated energy firstly, at the moment, the yielding load of the support is multiplied by a safety coefficient eta 1 to enable the yielding load of the support to be larger than the yielding load of the energy dissipation piece, 0.7P y is taken as the yielding load of the support in consideration of the influence of the stability coefficient of the bearing under pressure, eta 2Fy is taken as the yielding load of the energy dissipation piece in consideration of the unbalance of the tension and compression stress of the support, and then the X-shaped support with replaceable energy dissipation connection is required to be designed so that the vertical component of the yielding load of the support is larger than the yielding load of the variable cross-section round end metal energy dissipation piece to enable the energy dissipation piece to yield firstly, namely
2×η1×0.7Pysinα>η2Fy
Wherein alpha is an included angle between the support and the horizontal plane, F y is the yield load of the variable-section round-end metal energy dissipation piece, eta 2 is the safety amplification factor of the energy dissipation piece, and P y=Azc·fy;
The performance of the X-shaped supporting member with the replaceable energy consumption connection is described by adopting the rigidity ratio and the strength ratio, namely, elastoplastic time course analysis is carried out on an X-shaped supporting steel frame structure with the replaceable energy consumption connection, so that the interlayer displacement angle, the substrate shearing force and the vertex displacement corresponding to the target performance section of the X-shaped supporting steel frame with the replaceable energy consumption connection in the X, Y-direction earthquake are obtained, and the equivalent rigidity of the structure, the corresponding additional damping ratio and the corresponding rigidity ratio are obtained through calculation.
Further, the additional damping ratio and the additional stiffness ratio of the X-shaped supporting steel frame structure with the replaceable energy consumption connection are integrated and analyzed, and the result shows that the energy consumption connection vertical shear stiffness, namely the initial stiffness K 0 of the energy consumption piece and the supporting vertical stiffness component ratio is between 0.50 and 0.85, and the energy consumption connection shear yield strength and the supporting yield strength vertical component ratio is between 0.35 and 0.65.
Further, in the structural design, the limit displacement d u of the variable-section round-end metal energy dissipation part is 0.2-0.5 times of the outer diameter R of the semicircular end plate, the value range of eta 1 is 0.50-0.60, and the value range of eta 2 is 1.05-1.15.
Further, the variable cross-section round end metal energy dissipation member has a yield load F y and an initial rigidity K 0, and the expression is:
Wherein R is the outer diameter of the variable cross-section round end metal energy dissipation part, t is the thickness of the variable cross-section round end metal energy dissipation part, b is the middle width of the variable cross-section straight plate, f y is the yield strength, lambda is the amplification factor, alpha is the yield load correction factor, the value range is 4.45-4.46, beta is the initial rigidity correction factor, and the value range is 1.40-1.50.
Further, when the shearing force born by the variable-section energy dissipation piece is larger than the yield load, the variable-section round-end metal energy dissipation piece is in an elastoplastic stage, the rigidity at the moment is the second rigidity, and the expression is:
K′=γK0
Wherein, gamma is a second rigidity correction coefficient, and the value range of the second rigidity correction coefficient is 0.014-0.016.
Further, the end width b' of the variable cross-section straight plate of the variable cross-section round end metal energy dissipation piece is 1.1-1.2 times of the middle width b of the straight plate.
Further, according to the design requirement, the value range of the middle width b of the variable cross-section straight plate is recommended to be 60-300 mm, the value range of the end width b' of the variable cross-section straight plate is recommended to be 74-360 mm, the value range of the height 2R of the variable cross-section round end metal energy dissipation piece is recommended to be 80-240 mm, and the value range of the thickness t of the variable cross-section round end metal energy dissipation piece is recommended to be 6-32 mm.
Compared with the prior art, the invention has at least the following advantages and effects:
Compared with a circular end metal damper with a constant cross section, the variable cross section circular end metal damper has the advantages that the initial rigidity and yield load of the variable cross section circular end metal damper are larger, the variable cross section circular end metal damper has good elastoplasticity, the load-displacement hysteresis curve is plump, the energy consumption capability is stronger, and more earthquake energy can be absorbed during earthquake action. Compared with the common support frame, the X support with replaceable energy consumption connection does not have sudden rigidity reduction after support buckling, the energy consumption of the structure is concentrated on the variable cross-section round end metal energy consumption piece, and the replacement of the energy consumption piece can be rapidly realized after earthquake. Compared with a pure frame, the X-support hysteresis performance with replaceable energy consumption connection is better, and the rigidity is larger. The invention has simple structure, definite force transmission and good economic benefit.
Drawings
Figure 1 is a schematic view of an X-shaped support with alternative energy consuming connections for use in the present invention.
Fig. 2 is an exploded view of an X-shaped support with alternative energy consuming connections for use with the present invention.
Fig. 3 is a schematic diagram of the geometry of a variable cross-section round-ended metal energy consuming member used in the present invention.
Figure 4 is a mechanical sketch of an X-shaped support with alternative dissipative connections for use in the invention.
Figure 5 is a force diagram of an X-shaped support with an alternative energy consuming connection in an embodiment of the invention.
Fig. 6 is a stress diagram of a structure in an embodiment of the invention.
Fig. 7 is a stress diagram of a variable cross-section round-ended metal energy consuming member in an embodiment of the invention.
Fig. 8 is a load-displacement hysteresis graph of a structure in an embodiment of the invention.
Fig. 9 is a load-displacement hysteresis graph of a variable cross-section rounded end metal energy consumer in an embodiment of the invention.
In the figure, 1-supporting, 2-node plates, 3-connecting plates, 4-variable cross-section round end metal energy dissipation parts and 5-high-strength bolts.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more clear and clear, the following description will be made in detail with reference to the embodiments of the present invention and the accompanying drawings. The described embodiments are only some, but not all, embodiments of the invention.
The invention provides an X-shaped support with replaceable energy consumption connection, which is specifically constructed in a form shown in figure 1 and comprises a support 1, a gusset plate 2, a connecting plate 3 and a variable cross-section round end metal energy consumption piece 4. The concrete construction form is that the end part of the support 1 is provided with a slot, the node plate 2 and the support 1 are assembled in a clamping and inserting mode and then welded, the other side of the node plate 2 is welded with the connecting plate 3 to form a T shape, the support 1, the node plate 2 and the connecting plate 3 are in bilateral symmetry, and the variable cross-section round end metal energy dissipation parts 4 are arranged between the connecting plates 3 and are connected through high-strength bolts 5.
In some of the embodiments of the invention, the support 1 is a central support of box-shaped section.
In some embodiments of the present invention, the variable cross-section round-ended metal energy consuming member 4 is of LY225 steel. The single variable cross-section round end metal energy dissipation piece comprises four parts, wherein the four parts comprise two semicircular end plates ABC and DEF, two variable cross-section straight plates AF and CD, and one semicircular end plate is welded at each of the two ends of the variable cross-section straight plates. The variable cross-section flat plates AF and CD are connected to the connecting plate 3 in the above-described nodes by high-strength bolts 5.
The X-shaped support with replaceable energy consumption connection is connected with the steel column and the steel beam, so that the X-shaped support steel frame is stressed together, the safety and the reliability are improved, and the installation is simple and convenient.
By establishing a limited stress situation:
1. Model building
In some embodiments of the present invention, the X-shaped support with replaceable energy consumption connection is connected with the steel column and the steel beam, finite element software ANASY is adopted to perform finite element simulation on the structure of the X-shaped support with replaceable energy consumption connection provided by the foregoing embodiment of the present invention, the set parameters of the variable cross-section round end metal energy consumption piece are the middle width b=210 mm of the variable cross-section straight plate, the width b' =260 mm of the straight plate end, the outer diameter r=60 mm, the thickness t=16 mm, and the dimensions of the rest components are as shown in the following table:
TABLE 1 geometric dimensions of model elements (Unit: mm)
The parameters associated with the finite element model are designed as shown in the following table:
TABLE 2 model-related parameter design
The steel beam, the steel bottom beam and the steel column are made of Q355 steel, the box-shaped support is made of Q235 steel, the variable-section round-end metal energy dissipation part is made of LY225 steel, and the elastic modulus E is 2.0X10 5 MPa.
And during loading, the two column bottoms are restrained by adopting a fixed support, lateral restraint is applied to a frame column node domain to prevent out-of-plane instability, 265kN axial force is respectively applied to the column tops, friction contact is formed among a bolt, an energy consumption piece, the bolt, a connecting plate and the energy consumption piece, the friction coefficient is 0.35, 10.9-grade M24 high-strength bolts are adopted for the bolts, and 225kN pretightening force is applied to the bolts, as shown in figure 5.
2. Analysis of results
The X-shaped supporting steel frame with replaceable energy consumption connection is applied with cyclic reciprocating load, and the obtained structural stress diagram, the energy consumption piece stress diagram, the structural hysteresis curve and the hysteresis curve of the energy consumption piece are shown in figures 6, 7, 8 and 9.
In the stress diagram, the color gradually changes from white to light, which indicates that the stress is larger and larger. As can be seen from fig. 6 and 7, the stress at the intersection of the variable cross-section flat plate and the semicircular end plate is maximum, and the value is 347.94MPa, which indicates that the variable cross-section circular end metal energy dissipation member is already yielding, and the main body structure and the supporting stress range are between 0 and 300MPa, and all keep elasticity and are not yielding. The energy consumption is concentrated on the variable cross-section round end metal energy consumption piece, and the variable cross-section round end metal energy consumption piece is replaced after the earthquake.
The energy consumption coefficient E and the equivalent viscous damping coefficient xi eq of the energy consumption piece when the displacement is 62mm can be calculated by the hysteresis curve:
The graph analysis shows that the hysteresis curve is full, the obtained equivalent viscous damping coefficient xi eq is larger, and the hysteresis curve has good performance and large initial rigidity.
The above examples of the present invention are merely illustrative of the present invention and are not intended to limit the embodiments of the present invention. Other variations or modifications of the above teachings will be apparent to those of ordinary skill in the art. It is not necessary here nor is it exhaustive of all embodiments. Any modification, equivalent replacement, improvement, etc. which come within the spirit and principles of the invention are desired to be protected by the following claims.

Claims (8)

1.一种带可替换耗能连接的X形支撑,其特征在于,包括箱型截面支撑(1)、节点板(2)、连接板(3)和变截面圆端金属耗能件(4);1. An X-shaped support with replaceable energy-absorbing connection, characterized in that it comprises a box-section support (1), a node plate (2), a connection plate (3) and a variable-section circular-end metal energy-absorbing part (4); 箱型截面支撑(1)端部设有插槽,节点板(2)与箱型截面支撑(1)之间采用卡插的方式装配后焊接;A slot is provided at the end of the box-section support (1), and the node plate (2) and the box-section support (1) are assembled and welded in a plug-in manner; 所述的节点板(2)另一侧与连接板(3)焊接形成T字形,箱型截面支撑(1)、节点板(2)、连接板(3)呈现左右对称关系;The other side of the node plate (2) is welded to the connecting plate (3) to form a T-shape, and the box-section support (1), the node plate (2) and the connecting plate (3) are in a bilaterally symmetrical relationship; 在连接板(3)之间设置有所述的变截面圆端金属耗能件(4);The variable-section round-end metal energy-absorbing part (4) is arranged between the connecting plates (3); 所述X形支撑通过以下步骤设计得到:The X-shaped support is designed by the following steps: 变截面圆端金属耗能件(4)包括两个用于承担耗能作用的半圆端板、两个相对设置的变截面平直板,由于变截面圆端金属耗能件(4)的变截面平直板与半圆端板相交处弯矩最大,且变截面平直板可能会发生弯曲变形,变形后变截面圆端金属耗能件(4)的半圆端板也不是严格标准的半圆弧,变截面圆端金属耗能件(4)为两个半圆端板共同工作,根据此受力变形,得到变截面圆端金属耗能件(4)修正的屈服荷载、初始刚度和第二刚度的表达式,变截面圆端金属耗能件(4)的恢复力模型通过以下参数确定:变截面圆端金属耗能件的外径、厚度、变截面平直板中间宽度、屈服强度、屈服荷载修正系数α、初始刚度修正系数β和第二刚度修正系数;其中,变截面圆端金属耗能件(4)的屈服荷载、初始刚度表达式为:The variable-section circular end metal energy dissipation part (4) comprises two semicircular end plates for absorbing energy and two oppositely arranged variable-section flat plates. Since the bending moment is the largest at the intersection of the variable-section flat plate and the semicircular end plate of the variable-section circular end metal energy dissipation part (4), and the variable-section flat plate may bend and deform, the semicircular end plate of the variable-section circular end metal energy dissipation part (4) is not a strictly standard semicircular arc after deformation. The variable-section circular end metal energy dissipation part (4) is a combination of two semicircular end plates working together. According to the force deformation, the modified yield load of the variable-section circular end metal energy dissipation part (4) is obtained. , initial stiffness and the second stiffness The restoring force model of the variable cross-section circular end metal energy dissipation part (4) is determined by the following parameters: the outer diameter of the variable cross-section circular end metal energy dissipation part ,thickness , Middle width of variable cross-section straight plate , yield strength , yield load correction factor α, initial stiffness correction factor β and second stiffness correction factor ; Among them, the yield load of the variable cross-section circular end metal energy dissipation part (4) is , initial stiffness The expression is: 式中,为变截面圆端金属耗能件的外径,为变截面圆端金属耗能件的厚度,为变截面圆端金属耗能件平直板中间宽度,为屈服强度,为放大系数,取值为变截面圆端金属耗能件的变截面平直板宽度之差的平方,为屈服荷载修正系数,β为初始刚度修正系数;In the formula, is the outer diameter of the variable-section circular-end metal energy-absorbing part, is the thickness of the variable-section circular end metal energy dissipation part, The middle width of the straight plate of the variable-section round-end metal energy-absorbing part. is the yield strength, is the magnification factor, which is the square of the width difference of the variable-section straight plate of the variable-section round-end metal energy dissipation part. is the yield load correction factor, β is the initial stiffness correction factor; 当变截面圆端金属耗能件所受剪力大于屈服荷载时,变截面圆端金属耗能件处于弹塑性阶段,此时的刚度为第二刚度,表达式为:When the shear force on the variable-section circular end metal energy dissipation part is greater than the yield load, the variable-section circular end metal energy dissipation part is in the elastic-plastic stage, and the stiffness at this time is the second stiffness, which is expressed as: 式中,为第二刚度修正系数,其取值范围在0.014~0.016之间;In the formula, is the second stiffness correction coefficient, and its value range is between 0.014 and 0.016; 在地震作用下,框架发生水平方向的侧移,箱型截面支撑(1)承担不同的内力,斜对角方向的两根箱型截面支撑(1)受到拉力,而另外两根对角箱型截面支撑(1)受到压力;四根钢制的箱型截面支撑(1)由于水平荷载产生的轴力在耗能连接处交汇,经过力的分解后,在水平方向上水平力相互平衡,在竖直方向上有剪力作用于变截面圆端金属耗能件(4)上,在这种情况下,控制变截面圆端金属耗能件(4)先受剪屈服耗散能量,此时对箱型截面支撑(1)的屈服荷载乘以安全系数使得箱型截面支撑(1)屈服荷载大于耗能件的屈服荷载;考虑箱型截面支撑(1)受压稳定系数的影响,取0.7作为箱型截面支撑(1)屈服荷载,考虑箱型截面支撑(1)拉压受力的不平衡,取为耗能件的屈服荷载;则在设计带可替换耗能连接的X形支撑需满足:箱型截面支撑(1)屈服荷载的竖向分力应大于变截面圆端金属耗能件(4)的屈服荷载使得耗能件先屈服,即Under the action of an earthquake, the frame shifts horizontally, and the box-section supports (1) bear different internal forces. The two diagonal box-section supports (1) are subjected to tension, while the other two diagonal box-section supports (1) are subjected to compression. The axial forces generated by the horizontal load on the four steel box-section supports (1) converge at the energy-absorbing connection. After the force is decomposed, the horizontal forces are balanced in the horizontal direction, and a shear force acts on the variable-section circular end metal energy-absorbing part (4) in the vertical direction. In this case, the variable-section circular end metal energy-absorbing part (4) is controlled to yield and dissipate energy first. At this time, the yield load of the box-section support (1) is multiplied by the safety factor. Make the yield load of the box section support (1) greater than the yield load of the energy dissipation component; consider the influence of the compressive stability coefficient of the box section support (1) and take 0.7 As the yield load of the box section support (1), consider the unbalanced tension and compression of the box section support (1). is the yield load of the energy dissipation part; then the design of the X-shaped support with replaceable energy dissipation connection must meet the following requirements: the vertical component of the yield load of the box-section support (1) should be greater than the yield load of the variable-section circular end metal energy dissipation part (4) so that the energy dissipation part yields first, that is, 式中,为箱型截面支撑(1)与水平面夹角,为变截面圆端金属耗能件的屈服荷载,为耗能件的安全放大系数,In the formula, is the angle between the box section support (1) and the horizontal plane, is the yield load of the variable cross-section circular end metal energy dissipation part, is the safety magnification factor of energy-consuming parts, ; 确定带可替换耗能连接的X形支撑的构件性能,采用刚度比和强度比来描述带可替换耗能连接的X形支撑构件性能:对带可替换耗能连接的X形支撑钢框架结构进行弹塑性时程分析,得到带可替换耗能连接的X形支撑钢框架在X、Y向地震下目标性能段所对应的层间位移角、基底剪力以及顶点位移,从而计算得到结构的等效刚度及其对应的附加阻尼比、刚度比。Determine the component performance of the X-shaped support with replaceable energy-absorbing connection, and use stiffness ratio and strength ratio to describe the component performance of the X-shaped support with replaceable energy-absorbing connection: perform elastic-plastic time-history analysis on the X-shaped support steel frame structure with replaceable energy-absorbing connection, and obtain the inter-story displacement angle, base shear force and vertex displacement corresponding to the target performance segment of the X-shaped support steel frame with replaceable energy-absorbing connection under X- and Y-direction earthquakes, so as to calculate the equivalent stiffness of the structure and its corresponding additional damping ratio and stiffness ratio. 2.根据权利要求1所述的一种带可替换耗能连接的X形支撑,其特征在于,变截面圆端金属耗能件(4)包括两个用于承担耗能作用的半圆端板、两个相对设置的变截面平直板,在变截面平直板的两端各设置有一个半圆端板,且两变截面平直板与连接板(3)通过高强螺栓(5)固定连接。2. An X-shaped support with a replaceable energy-absorbing connection according to claim 1, characterized in that the variable-section circular end metal energy-absorbing part (4) comprises two semicircular end plates for assuming the energy-absorbing function, and two relatively arranged variable-section straight plates, a semicircular end plate is arranged at each end of the variable-section straight plate, and the two variable-section straight plates are fixedly connected to the connecting plate (3) by high-strength bolts (5). 3.根据权利要求2所述的一种带可替换耗能连接的X形支撑,其特征在于,变截面圆端金属耗能件(4)采用Q235钢材、低屈服钢材LY225或LY160制成,半圆端板采用平直板冷弯加工制成,螺栓孔采用标准孔、大圆孔或槽孔。3. An X-shaped support with replaceable energy-absorbing connection according to claim 2, characterized in that the variable-section circular end metal energy-absorbing part (4) is made of Q235 steel, low-yield steel LY225 or LY160, the semicircular end plate is made of a straight plate by cold bending, and the bolt hole is a standard hole, a large circular hole or a slotted hole. 4.根据权利要求1所述的一种带可替换耗能连接的X形支撑,其特征在于,地震作用下,变截面圆端金属耗能件(4)受剪屈服耗散能量,震后可拆卸变截面圆端金属耗能件上的高强螺栓,实现耗能件的替换。4. An X-shaped support with replaceable energy-absorbing connection according to claim 1, characterized in that, under the action of an earthquake, the variable-section circular end metal energy-absorbing part (4) yields in shear to dissipate energy, and after the earthquake, the high-strength bolts on the variable-section circular end metal energy-absorbing part can be removed to achieve replacement of the energy-absorbing part. 5.一种带可替换耗能连接的X形支撑的设计方法,其特征在于,包括以下步骤:5. A design method for an X-shaped support with replaceable energy-dissipating connections, characterized in that it comprises the following steps: 变截面圆端金属耗能件(4)包括两个用于承担耗能作用的半圆端板、两个相对设置的变截面平直板,由于变截面圆端金属耗能件(4)的变截面平直板与半圆端板相交处弯矩最大,且变截面平直板可能会发生弯曲变形,变形后变截面圆端金属耗能件(4)的半圆端板也不是严格标准的半圆弧,变截面圆端金属耗能件(4)为两个半圆端板共同工作,根据此受力变形,得到变截面圆端金属耗能件(4)修正的屈服荷载、初始刚度和第二刚度的表达式,变截面圆端金属耗能件(4)的恢复力模型通过以下参数确定:变截面圆端金属耗能件的外径、厚度、变截面平直板中间宽度、屈服强度、屈服荷载修正系数α、初始刚度修正系数β和第二刚度修正系数;其中,变截面圆端金属耗能件(4)的屈服荷载、初始刚度表达式为:The variable-section circular end metal energy dissipation part (4) comprises two semicircular end plates for absorbing energy and two oppositely arranged variable-section flat plates. Since the bending moment is the largest at the intersection of the variable-section flat plate and the semicircular end plate of the variable-section circular end metal energy dissipation part (4), and the variable-section flat plate may bend and deform, the semicircular end plate of the variable-section circular end metal energy dissipation part (4) is not a strictly standard semicircular arc after deformation. The variable-section circular end metal energy dissipation part (4) is a combination of two semicircular end plates working together. According to the force deformation, the modified yield load of the variable-section circular end metal energy dissipation part (4) is obtained. , initial stiffness and the second stiffness The restoring force model of the variable cross-section circular end metal energy dissipation part (4) is determined by the following parameters: the outer diameter of the variable cross-section circular end metal energy dissipation part ,thickness , Middle width of variable cross-section straight plate , yield strength , yield load correction factor α, initial stiffness correction factor β and second stiffness correction factor ; Among them, the yield load of the variable cross-section circular end metal energy dissipation part (4) is , initial stiffness The expression is: 式中,为变截面圆端金属耗能件的外径,为变截面圆端金属耗能件的厚度,为变截面圆端金属耗能件平直板中间宽度,为屈服强度,为放大系数,取值为变截面圆端金属耗能件的变截面平直板宽度之差的平方,为屈服荷载修正系数,β为初始刚度修正系数;In the formula, is the outer diameter of the variable-section circular-end metal energy-absorbing part, is the thickness of the variable-section circular end metal energy dissipation part, The middle width of the straight plate of the variable-section round-end metal energy-absorbing part. is the yield strength, is the magnification factor, which is the square of the width difference of the variable-section straight plate of the variable-section round-end metal energy dissipation part. is the yield load correction factor, β is the initial stiffness correction factor; 当变截面圆端金属耗能件所受剪力大于屈服荷载时,变截面圆端金属耗能件处于弹塑性阶段,此时的刚度为第二刚度,表达式为:When the shear force on the variable-section circular end metal energy dissipation part is greater than the yield load, the variable-section circular end metal energy dissipation part is in the elastic-plastic stage, and the stiffness at this time is the second stiffness, which is expressed as: 式中,为第二刚度修正系数,其取值范围在0.014~0.016之间;In the formula, is the second stiffness correction coefficient, and its value range is between 0.014 and 0.016; 在地震作用下,框架发生水平方向的侧移,箱型截面支撑(1)承担不同的内力,斜对角方向的两根箱型截面支撑(1)受到拉力,而另外两根对角箱型截面支撑(1)受到压力;四根钢制的箱型截面支撑(1)由于水平荷载产生的轴力在耗能连接处交汇,经过力的分解后,在水平方向上水平力相互平衡,在竖直方向上有剪力作用于变截面圆端金属耗能件(4)上,在这种情况下,控制变截面圆端金属耗能件(4)先受剪屈服耗散能量,此时对箱型截面支撑(1)的屈服荷载乘以安全系数使得箱型截面支撑(1)屈服荷载大于耗能件的屈服荷载;考虑箱型截面支撑(1)受压稳定系数的影响,取0.7作为箱型截面支撑(1)屈服荷载,考虑箱型截面支撑(1)拉压受力的不平衡,取为耗能件的屈服荷载;则在设计带可替换耗能连接的X形支撑需满足:箱型截面支撑(1)屈服荷载的竖向分力应大于变截面圆端金属耗能件(4)的屈服荷载使得耗能件先屈服,即Under the action of an earthquake, the frame shifts horizontally, and the box-section supports (1) bear different internal forces. The two diagonal box-section supports (1) are subjected to tension, while the other two diagonal box-section supports (1) are subjected to compression. The axial forces generated by the horizontal load on the four steel box-section supports (1) converge at the energy-absorbing connection. After the force is decomposed, the horizontal forces are balanced in the horizontal direction, and a shear force acts on the variable-section circular end metal energy-absorbing part (4) in the vertical direction. In this case, the variable-section circular end metal energy-absorbing part (4) is controlled to yield and dissipate energy first. At this time, the yield load of the box-section support (1) is multiplied by the safety factor. Make the yield load of the box section support (1) greater than the yield load of the energy dissipation component; consider the influence of the compressive stability coefficient of the box section support (1) and take 0.7 As the yield load of the box section support (1), consider the unbalanced tension and compression of the box section support (1). is the yield load of the energy dissipation part; then the design of the X-shaped support with replaceable energy dissipation connection must meet the following requirements: the vertical component of the yield load of the box-section support (1) should be greater than the yield load of the variable-section circular end metal energy dissipation part (4) so that the energy dissipation part yields first, that is, 式中,为箱型截面支撑(1)与水平面夹角,为变截面圆端金属耗能件的屈服荷载,为耗能件的安全放大系数,In the formula, is the angle between the box section support (1) and the horizontal plane, is the yield load of the variable cross-section circular end metal energy dissipation part, is the safety magnification factor of energy-consuming parts, ; 确定带可替换耗能连接的X形支撑的构件性能,采用刚度比和强度比来描述带可替换耗能连接的X形支撑构件性能:对带可替换耗能连接的X形支撑钢框架结构进行弹塑性时程分析,得到带可替换耗能连接的X形支撑钢框架在X、Y向地震下目标性能段所对应的层间位移角、基底剪力以及顶点位移,从而计算得到结构的等效刚度及其对应的附加阻尼比、刚度比。Determine the component performance of the X-shaped support with replaceable energy-absorbing connection, and use stiffness ratio and strength ratio to describe the component performance of the X-shaped support with replaceable energy-absorbing connection: perform elastic-plastic time-history analysis on the X-shaped support steel frame structure with replaceable energy-absorbing connection, and obtain the inter-story displacement angle, base shear force and vertex displacement corresponding to the target performance segment of the X-shaped support steel frame with replaceable energy-absorbing connection under X- and Y-direction earthquakes, so as to calculate the equivalent stiffness of the structure and its corresponding additional damping ratio and stiffness ratio. 6.根据权利要求5所述的一种带可替换耗能连接的X形支撑的设计方法,其特征在于,将带可替换耗能连接的X形支撑钢框架结构附加阻尼比和附加刚度比整合分析,结果表明耗能连接竖向剪切刚度即耗能件的初始刚度与X形支撑竖向刚度分量比在0.50~0.85之间,耗能连接剪切屈服强度与X形支撑屈服强度竖向分量比在0.35~0.65之间。6. A design method for an X-shaped support with replaceable energy dissipation connection according to claim 5, characterized in that the additional damping ratio and additional stiffness ratio of the X-shaped support steel frame structure with replaceable energy dissipation connection are integrated and analyzed, and the results show that the vertical shear stiffness of the energy dissipation connection is the initial stiffness of the energy dissipation part. The ratio of the vertical stiffness component of the X-shaped support is between 0.50 and 0.85, and the ratio of the shear yield strength of the energy-dissipating connection to the vertical component of the yield strength of the X-shaped support is between 0.35 and 0.65. 7.根据权利要求5所述的一种带可替换耗能连接的X形支撑的设计方法,其特征在于,变截面圆端金属耗能件(4)的极限位移是耗能件半圆端板外径R的0.2~0.5倍,的取值范围在0.50~0.60之间,的取值范围在1.05~1.15之间。7. A design method for an X-shaped support with replaceable energy-dissipating connection according to claim 5, characterized in that the limit displacement of the variable-section circular-end metal energy-dissipating member (4) It is 0.2~0.5 times the outer diameter R of the semicircular end plate of the energy dissipation part. The value range is between 0.50 and 0.60. The value range is between 1.05 and 1.15. 8.根据权利要求5所述的一种带可替换耗能连接的X形支撑的设计方法,其特征在于,变截面圆端金属耗能件(4)的变截面平直板端部宽度是平直板中间宽度b的1.1~1.2倍;变截面圆端金属耗能件(4)的平直板中间宽度b的取值范围为60~300 mm,变截面平直板端部宽度的取值范围为74~360 mm,变截面圆端金属耗能件(4)的高度2R的取值范围为80~240 mm,变截面圆端金属耗能件(4)的厚度t的取值范围为6~32 mm。8. A design method for an X-shaped support with replaceable energy dissipation connection according to claim 5, characterized in that the width of the end of the variable-section straight plate of the variable-section round-end metal energy dissipation part (4) is is 1.1 to 1.2 times the width b of the middle of the flat plate; the value range of the width b of the middle of the flat plate of the variable-section round-end metal energy dissipation part (4) is 60 to 300 mm, and the width of the end of the variable-section flat plate is The value range of is 74~360 mm, the value range of the height 2 R of the variable-section circular end metal energy dissipation part (4) is 80~240 mm, and the value range of the thickness t of the variable-section circular end metal energy dissipation part (4) is 6~32 mm.
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CN115538621A (en) * 2022-06-22 2022-12-30 华南理工大学 Connection node between support and column with round-end metal damper and its design method
CN116695875A (en) * 2023-06-27 2023-09-05 重庆交通大学 A new type of prefabricated cold-formed steel frame - X-shaped support structure

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