CN114687279A - Viaduct vibration reduction system based on annular TMD - Google Patents

Abstract

The viaduct vibration damping system based on the annular TMD comprises an annular hoop and an annular mass block which are arranged on a pier from top to bottom, wherein a steel wire rope is connected between the annular mass block and the annular hoop; the annular hoop is divided into four arc-shaped hoop sheets equally along the circumferential direction, and a bracket I is arranged on the outer side of each arc-shaped hoop sheet; the inner side of the annular mass block is provided with an annular inner bag connecting soft steel plate, the annular inner bag connecting soft steel plate is equally divided into four arc connecting soft steel plates along the circumferential direction, and the outer side of each arc connecting soft steel plate is provided with a first spring cushion block and a first damping cushion block; the annular mass block is equally divided into four arc-shaped mass blocks along the circumferential direction, the outer side of each arc-shaped mass block is provided with a bracket II, and the inner side of each arc-shaped mass block is provided with a second spring cushion block and a second damping cushion block; a spring is connected between the first spring cushion block and the second spring cushion block, a damper is connected between the first damping cushion block and the second damping cushion block, and a steel wire rope is connected between the bracket I and the bracket II. The invention reduces the vibration of the pier in the vertical direction and the horizontal direction at the same time.

Description

Vibration reduction system of viaduct based on annular TMD

technical field

The invention relates to the technical field of traffic bridge piers, in particular to a viaduct vibration damping system based on annular TMD.

Background technique

With the rapid development of my country's economy and the continuous growth of population, urban ground transportation is becoming more and more congested. In order to alleviate the pressure of urban traffic, urban transportation forms have become more and more abundant. Nowadays, in addition to conventional road traffic, urban viaducts have gradually become the main form of transportation, especially in densely populated urban areas with tight traffic, such as Chongqing, Shanghai, Hangzhou and other places. Vibration and noise pollution caused by traffic loads have been listed as one of the seven major environmental hazards, and urban ground land is tight, and many existing urban viaduct lines pass through residential areas, hospitals, laboratories and other vibration- and noise-sensitive units at close distances. It has caused a great impact on the work, life and study of various people. In addition, the precision instruments used in scientific research have extremely high requirements on the vibration amplitude. If the viaduct passes through the higher education park, these instruments will also be affected. As an important carrier of urban high-altitude traffic, viaducts are usually built by designers to set up transparent enclosures on both sides of the viaduct deck to reduce direct noise pollution. Although the transparent enclosures on both sides of the bridge deck have a good blocking effect on the whistle of the bridge deck vehicles and the direct radiation noise of the wheels and rails, on the other hand, the bridge deck vehicles, as a typical moving source, can also cause the bridge piers to vibrate. It will spread out in the form of radiated noise through two media of solid and air, which will interfere with the normal study and life of surrounding residents. At the same time, viaducts generally reach more than ten meters or even tens of meters. If the bridge deck vibrates greatly and causes the piers to vibrate, it will also affect the stability of the surrounding buildings. In summary, the importance of bridge pier vibration reduction is self-evident.

In order to reduce the vibration of the bridge pier caused by the vehicle driving on the bridge deck of the viaduct, more and more vibration reduction measures are designed between the bridge deck and the bridge pier. Although it is effective to design vibration reduction measures at the connection between the bridge deck and the bridge pier, and to integrate the vibration reduction system with the entire viaduct, the failure of the measures at the connection often damages the integrity of the bridge and directly affects people's lives. Travel safety and the living safety of surrounding residents. Furthermore, when the equipment of the vibration damping system is aging and needs to be replaced, the operation will be more complicated, and the traffic on the bridge deck will also be affected. In addition, most of the current bridge pier vibration reduction is aimed at lateral vibration, and the bridge pier will generate vertical vibration in addition to lateral vibration. make an impact.

SUMMARY OF THE INVENTION

In order to overcome the above problems, the present invention provides an annular TMD-based viaduct vibration reduction system suitable for viaducts.

The technical scheme adopted in the present invention is as follows: an annular TMD-based viaduct vibration reduction system includes an annular hoop and an annular mass block arranged up and down on the bridge pier, and a steel wire rope is connected between the annular mass block and the annular hoop;

The annular hoop is equally divided into four arc-shaped hoop sheets along the circumferential direction, and the end faces of the four arc-shaped hoop sheets close to each other are provided with connecting lugs. The hoop sheets are combined and connected to form an integral annular hoop; the annular hoop is fastened to the bridge pier, and a corbel I is provided on the outer side of each arc hoop sheet;

The inner side of the annular mass block is provided with an annular inner package connecting mild steel plate, the annular inner package connecting mild steel plate is equally divided into four arc-shaped connecting mild steel plates along the circumferential direction, and the end faces of the four arc-shaped connecting mild steel plates that are close to each other are provided with a mounting plate. The lug plate, four arc-shaped connection mild steel plates are combined and connected to form a whole inner-covered connection mild steel plate by setting bolts on the installation lug plate; the inner-covered connection mild steel plate is fastened on the bridge pier, and the outer side of each arc-shaped connection mild steel plate is set. There are first spring pads and first damping pads;

The annular mass block is equally divided into four arc-shaped mass blocks along the circumferential direction, and the end faces of the four arc-shaped mass blocks close to each other are provided with lugs, and the four arc-shaped mass blocks are combined and connected by arranging bolts on the lugs. an integral annular mass block; the inner side of each arc mass block is provided with a second spring spacer block and a second damping spacer block at the position corresponding to the first spring spacer block and the first damping spacer block; the first spring spacer block A spring is connected with the second spring pad, and a damper is connected between the first damping pad and the second damping pad; the outer side of each arc mass block is provided with a corbel at the position corresponding to the corbel I II, a steel wire rope is connected between the corbel I and the corbel II.

Further, the number of the first spring pads connected to the outside of each arc-shaped soft steel plate is four, and the four first spring pads are symmetrically distributed on both sides of the first damping pads in two groups, with two in each group. The first spring pads are arranged up and down; four second spring pads are arranged on the inner side of each arc mass block at positions corresponding to the four first spring pads.

Further, the corbel I and corbel II are provided with holes for connecting the steel wire rope, and the two ends of the steel wire rope are respectively provided with a steel wire rope sleeve for preventing friction and a wedge-shaped sleeve that can fix the steel wire rope in the hole; The included angle ranges from 65° to 75°.

Further, the damper is a viscous damper, and both ends of the damper are respectively provided with damper connectors for connecting with the first damping pad and the second damping pad, and the damper connectors include damper parallel connection plates. and damping connection bolts, the damper parallel connection plate is welded and fixed with the first damping pad and the second damping pad, and the damper and the damper parallel connection plate are fixedly connected by the damping connection bolts.

Further, the corbel I, corbel II, the annular hoop, the inner package connecting mild steel plate and the annular mass block are all made of low carbon steel; the surface of the annular hoop and the inner package connecting mild steel plate surface are coated with anti-corrosion paint.

Further, the inner package is connected to the soft steel plate and the first spring pad and the first damping pad are welded and fixed, and the annular mass block is welded and fixed to the second spring pad and the second damping pad; the inner package is connected to the soft steel plate and the first spring pad. The block and the first damping pad, the annular mass block, the second spring pad and the second damping pad are all integral prefabricated structures.

Further, the thickness of the annular mass block is 20mm-25mm, and the width is 800mm-1000mm; the thickness of the inner package connecting mild steel plate is 12mm-20mm, and the width of the inner package connecting mild steel plate is consistent with the width of the annular mass block.

Further, the thickness of the annular hoop is 12mm-20mm, and the width of the annular hoop is 400mm-500mm.

Further, the distance between the inner side of the annular mass block and the outer side of the inner connected mild steel plate is the radius of the bridge pier.

Further, the ratio of the mass of the annular mass block to the mass of the bridge pier ranges from 2% to 5%.

The present invention mainly uses two parts to dampen the bridge piers:

For lateral vibration, it is mainly controlled by the TMD system composed of annular mass, spring and damper. Secondly, the action in the lateral direction is controlled by the wire rope decomposition used to suspend the TMD system together with the spring.

For vertical vibration, it is mainly controlled by the action of wire rope decomposition in the vertical direction.

The beneficial effects of the present invention are:

1. The current bridge deck vibration reduction and noise reduction mostly adopts the method of designing a transparent enclosure on the bridge deck, but this can only reduce a part of the direct vehicle noise. The passage of vehicles on the bridge deck will also cause horizontal and vertical vibration of the bridge piers. The vibration of the bridge piers will radiate noise to the surrounding environment and affect the life and rest of the surrounding residents through air transmission. The vibration of bridge piers will also be transmitted to the foundation through box girders, bridge piers, caps and pile foundations, and through the foundation transmission, it will affect underground tunnels, pipelines, etc., bringing unnecessary safety hazards. The invention reduces the vibration of the bridge pier in the vertical direction and the horizontal direction at the same time by decomposing the action of the wire rope in the vertical direction and the action of the TMD system composed of the annular mass block, spring and damper in the horizontal direction, and reduces the transmission of the bridge pier to the surrounding environment through vibration. energy.

2. The lateral vibration frequency of the piers of the urban viaduct is generally between 5 and 20 Hz, and the vertical vibration frequency is between 5 and 25 Hz. The invention is sensitive to the vibration frequency between 5Hz and 25Hz, and under the combined control of the annular mass block, the spring, the damper and the steel wire rope, the vibration reduction problem of the bridge pier in the whole frequency range can be well solved.

3. The annular vibration reduction TMD system of the present invention is surrounded by springs and dampers in different directions around the bridge pier, and the system can effectively consume the energy generated by the vibration of the bridge pier by utilizing the buffering effect of the damper and the system rigidity structure. Mitigate horizontal vibrations in multiple directions of viaduct piers.

4. The present invention has simple installation process and low assembly requirements, greatly reduces the manufacturing and installation costs of the vibration damping measures, and does not affect the integrity of the viaduct.

Description of drawings

Fig. 1 is the structural representation of the present invention;

Fig. 2 is the structural representation of ring-shaped hoop part;

Fig. 3 is the structural schematic diagram between the annular mass block and the inner package connecting mild steel plate;

Fig. 4 is the structural representation of steel wire rope;

FIG. 5 is a schematic structural diagram of a damper and a damper connector.

Description of reference numerals: 1-bridge pier, 2-ring hoop, 3-corbel I, 4-steel wire rope, 5-connecting lug plate, 6-inner package connecting mild steel plate, 7-spring spacer, 8-spring, 9- Damping spacer, 10-damper, 11-ring mass, 12-corbel Ⅱ, 13-damper connecting piece, 14-ear plate, 15-installation ear plate, 16-wedge sleeve, 17-wire rope guard , 18-damping connecting bolts, 19-damping parallel connecting plate.

Detailed ways

The technical solutions of the patent of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.

In the description of the present invention, it should be noted that when the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer" appear. The orientation or positional relationship indicated by ” and the like is based on the orientation or positional relationship shown in the accompanying drawings, which is only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the referred device or element must have a specific orientation, a specific orientation, and a specific orientation. The orientation configuration and operation of the device should not be construed as a limitation of the present invention. Furthermore, the terms "first," "second," and "third," as they appear, are for descriptive purposes only and should not be construed to indicate or imply relative importance.

In the description of the present invention, it should be noted that, unless otherwise expressly specified and limited, the terms "installed", "connected" and "connected" should be understood in a broad sense, for example, it may be a fixed connection or a Removable connection, or integral connection; can be mechanical connection, can also be electrical connection; can be directly connected, can also be indirectly connected through an intermediate medium, can be internal communication between two components. For those of ordinary skill in the art, the specific meanings of the above terms in the present invention can be understood in specific situations.

Example 1

As shown in Figure 1, the viaduct vibration damping system based on annular TMD includes annular hoop 2 and annular mass block 11 arranged up and down on the bridge pier 1, and a wire rope 4 is connected between the annular mass block 11 and the annular hoop 2;

As shown in Figure 2, the annular hoop 2 is equally divided into four arc-shaped hoop sheets along the circumferential direction, and the end faces of the four arc-shaped hoop sheets close to each other are provided with connecting lugs 5. Bolts are arranged on the upper part to connect the four arc-shaped hoop sheets to form an integral annular hoop 2; the annular hoop 2 is fastened to the bridge pier 1, and a corbel I3 is welded on the outside of each arc-shaped hoop sheet; There are holes on each corbel I3, and the size of the holes should be matched with the wedge-shaped sleeve 16 and the thickness of the wire rope 4 used.

The number and size of the openings on the connecting lug 5 are affected by the size of the connecting lug 5 , and the diameter of the opening should not be greater than 0.7 times the width of the connecting lug 5 . The diameter of the bolts used to connect the connecting lugs 5 can be designed according to specific conditions. For this embodiment, the connecting bolt is mainly subjected to transverse shear force, and at the same time, it is also subjected to external tensile force in the axial direction of the bolt rod when the system is working.

For ordinary bolts, the diameter of the bolt should be calculated according to the following formula:

为螺栓的抗剪和承压强度设计值(单位：N/mm²)。In the formula: n _v is the number of sheared surfaces; d is the diameter of the bolt;

Design value for the shear and compressive strength of the bolt (unit: N/mm ² ).

For the friction type connection of high-strength bolts, which simultaneously bear the shear force between the friction surfaces and the external tensile force in the axial direction of the bolt rod, the diameter of the high-strength bolt can be calculated according to the following formula:

分别为一个高强度螺栓的受剪、受拉承载力设计值(单位：N)。In the formula: N _v and N _t are the shear force and tensile force of a certain high-strength bolt (unit: N);

are the design values of shear and tensile bearing capacity of a high-strength bolt (unit: N).

As shown in FIG. 3 , the inner side of the annular mass block 11 is provided with an annular inner-covered connection mild steel plate 6, and the annular inner-covered connection mild steel plate 6 is equally divided into four arc-shaped connection mild steel plates along the circumferential direction, and the four arc-shaped connection The end faces of the mild steel plates that are close to each other are provided with mounting lugs 15. By arranging bolts on the mounting lugs 15, the four arc-shaped connecting mild steel plates are combined and connected to form a whole inner package connecting mild steel plate 6; it should be noted that the mounting lugs 15 The diameter and number of bolts used for connection and fixation can be designed according to the actual situation, and the calculation formula is the same as formula 1 and formula 2. The inner-package connecting mild steel plate 6 is fastened on the bridge pier 1, and the outer side of each arc-shaped connecting mild steel plate is provided with four first spring pads 7a and a first damping pad 9a, and the four first spring pads 7a are two in one. The groups are symmetrically distributed on both sides of the first damping pads 9a, and the two first spring pads 7a in each group are arranged up and down; the annular mass block 11 is equally divided into four arc-shaped mass The end faces of the mass blocks close to each other are provided with lugs 14, and four arc-shaped mass blocks are combined and connected to form an integral annular mass block 11 by arranging bolts on the lugs 14; the diameter and number of bolts on the lugs 14 can be adjusted according to different The embodiment design of , its calculation formula is the same as formula 1 and formula 2.

The inner side of each arc mass block is provided with four second spring spacers 7b and one second damping spacer 9b at positions corresponding to the four first spring spacers 7a and one first damping spacer 9a; the first A spring 8 is connected between the spring pad 7a and the second spring pad 7b, and a damper 10 is connected between the first damping pad 9a and the second damping pad 9b; the outer side of each arc mass is connected to the corbel The position corresponding to I3 is provided with a corbel II12, and a steel wire rope 4 is connected between the corbel I3 and the corbel II12. The said corbel I3 and corbel II12 are provided with holes for connecting the wire rope 4, and the two ends of the wire rope 4 are respectively provided with a wire rope sleeve 17 for preventing friction and a wedge-shaped sleeve 16 that can fix the wire rope 4 in the hole; 4 The included angle with the horizontal plane ranges from 65° to 75°.

The damper 10 is a viscous damper, and the viscous damper is composed of a cylinder, a damper, a damping medium (viscous fluid), a guide rod, and the like. This type of damper has a good effect of reducing vibration and energy consumption. When the structure is displaced or deformed, it can consume a large amount of energy and effectively reduce the vibration of the structure. Both ends of the damper 10 are respectively provided with a damper connecting piece 13 for connecting with the first damping pad 9a and the second damping pad 9b. The damper connecting piece 13 includes a damper parallel connecting plate 19 and a damping connecting bolt 18, The damper parallel connection plate 19 is fixed by welding with the first damping pad 9a and the second damping pad 9b, and the damper 10 and the damper parallel connection plate 19 are fixedly connected by damping connection bolts 18. The diameter of the damping connecting bolt 18 can also be calculated according to Equation 1 and Equation 2.

In this example

In order to ensure that the ring hoop 2 can closely fit the bridge pier 1, it is recommended that the steel material should be low carbon steel. In order to ensure the reliability of welding, it is recommended to use low carbon steel for the corbel I3 of the ring hoop 2. The ring hoop 2 is made of thick steel plate. The thickness of the steel plate is generally 12mm to 20mm; the width is generally 400mm to 500mm. The connecting lugs 5 are integrated with each arc hoop piece, and the structure is directly prefabricated in the factory.

The first spring spacer 7a, the first damping spacer 9a and the mounting lugs 15 are integrated with each arc-shaped connecting mild steel plate, and the structure is directly prefabricated in the factory; similarly, the second spring spacer 7b, the first The two damping pads 9b and the ear plate 14 are integrated with each arc-shaped mass block, and the structure is directly prefabricated in the factory.

In order to ensure the reliability of welding, it is recommended to use low carbon steel for the corbel II 12 of the annular mass 11. As the material of the annular mass 11, it is recommended to select low carbon steel with good ductility and good corrosion resistance. The thickness of the annular mass 11 is recommended to be selected between 20mm and 25mm, and the width is recommended to be selected between 800mm and 1000mm. The distance between the inner side of the annular mass 11 and the outer side of the inner package connecting mild steel plate 6 is the radius of the bridge pier 1 .

Thick steel plate is selected for the inner package connection mild steel plate 6, the thickness of the steel plate is generally 12mm to 20mm, and the width of the steel plate is consistent with the width of the annular mass block. In order to ensure that the inner package connecting mild steel plate 6 can closely fit the bridge pier 1, it is recommended that the steel material be selected from low carbon steel. The carbon content of the parts made of low carbon steel is 0.1%, and the density of the low carbon steel is 7.85t/m ³ .

In a conventional TMD vibration reduction system, the mass of the additional mass is usually in the range of 2% to 5% of the original structural mass, and the greater the mass of the additional mass, the more obvious the vibration reduction effect of the TMD system. In order to ensure the good vibration reduction performance of the annular vibration reduction TMD system, it is recommended that the mass ratio u of the TMD system be selected between 2% and 5%, where the mass ratio u is the ratio of the mass of the additional mass block to the mass of the main structure. The mass of the middle main structure is the mass of pier 1.

The steel wire rope 4 is made of stainless steel and carbon steel. Since the steel wire rope 4 in the annular vibration damping TMD system needs to be used for a long time, it is recommended to choose stainless steel material, which is beautiful and anti-corrosion. The stainless steel model is recommended to use 304C, and its elastic modulus is generally 190GPa at 20°C. In order to match the angle selection of the steel wire rope 4, the length of the steel wire rope 4 can be adjusted to achieve the optimal vibration reduction effect.

The material of the spring 8 can be selected from high-quality carbon steel, alloy steel, non-ferrous metal alloy stainless steel and other types.

Example 2

Before installing the TMD system, two grooves with a certain size should be reserved at the bridge pier 1, and the size of the grooves should correspond to the annular hoop 2 and the inner connecting mild steel plate 6 to ensure that the annular hugging The hoop 2 and the inner package connecting mild steel plate 6 can be installed in close contact with the bridge pier 1 , thereby effectively reducing the vibration of the bridge pier 1 .

The steel wire rope 4 passes through the holes reserved on the corbel I3 and the corbel II12 to suspend the annular mass block 11 . The holes on the corbel I3 and the corbel II12 should be adapted to the diameter of the steel wire rope 4 to ensure that the two are tightly connected. The number of the wire ropes 4 is four, and the diameter and length of each wire rope 4 can be changed by the stiffness required by different embodiments.

The installation steps are:

Step 1: Consign each component of the factory-prefabricated annular vibration damping TMD system to around the bridge pier 1, and place each component according to the position on the drawing before hoisting.

The second step: hoist each arc-shaped hoop sheet of the annular hoop 2 to the predetermined installation position in turn, connect the adjacent arc-shaped hoop sheets with bolts, and check whether they are tightly connected with the bridge pier.

Preferably, in order to ensure the vibration reduction effect of the vibration reduction system, the annular vibration reduction TMD system should be installed on the upper part of the bridge pier 1 as much as possible. Below the top connecting position, the recommended distance is 600mm~1000mm.

The third step: successively hoist each arc-shaped connecting mild steel plate of the inner package connecting mild steel plate 6 to the predetermined installation position, connect the adjacent arc-shaped connecting mild steel plates with bolts, and check whether the connection with the bridge pier 1 is tight. The position where the inner package is connected to the mild steel plate 6 is located below the annular hoop 2 .

Preferably, in order to ensure that the steel wire rope 4 and the annular mass 11 have a good working environment, it is recommended that the distance between the top of the inner package connecting the mild steel plate 6 and the bottom of the annular hoop 2 be 1.5 to 2 times the diameter of the bridge pier 1 .

Step 4: Hang the four steel wire ropes 4 to the position of the corbel I3 of the annular hoop 2 in turn, and use the wedge-shaped sleeve 16 to connect one end of the steel wire rope 4 and the corbel I3 tightly.

The fifth step: hoist each arc-shaped mass block of the annular mass block 11 to the designated position in turn. First connect the other end of the wire rope 4 to the corbel I12 of the annular mass block 11 in the same way as the wedge-shaped sleeve 16 connection, and then connect the adjacent arc-shaped mass blocks with bolts.

Preferably, the top of the annular mass 11 and the top of the inner package connecting mild steel plate 6 should be in a horizontal plane, and the positions of the two should be corresponding.

Step 6: Install the spring 8 between the inner package connecting mild steel plate 6 and the annular mass block 11 in turn. In order to ensure that the spring 8 does not loosen during the working process of the system, it is necessary to use electric welding to connect the two ends of the spring 8 to the inner package respectively. The first spring washer 7a on the outer side of the steel plate 6 and the second spring washer 7b on the inner side of the annular mass 11 are welded together.

Step 7: Connect the damper 10 to the damper parallel connection plate 19 on the first damping pad 9a on the outside of the inner package connecting the mild steel plate 6 and the second damping pad 9b on the inner side of the annular mass 11 through the damping connecting bolts 18 in turn together.

Example 3

This embodiment aims to use a specific embodiment to specifically analyze the stiffness range and diameter of the wire rope 4 , the stiffness range of the spring 8 , and the mass range of the annular mass 11 .

In this example

1. The diameter of pier 1 is D=1600mm, the concrete grade is C30, the height is h=25m, the volume is V ₁ , and the density ρ ₁ =2.40t/m ³ ;

2. The thickness of the ring hoop 2 is 16mm and the width is 400mm, and the thickness of the inner package connecting mild steel plate 6 is 20mm and the width is 1000mm;

3. The inner radius of the annular mass 11 is r=1600mm, the outer radius is R, and the steel is made of low-carbon steel (0.1% carbon content), the volume of the annular mass 11 is V ₂ , the thickness is s, and the density ρ ₂ =7.85 t/m ³ ;

4. The mass ratio u is between 2% and 5%, and in this embodiment, u=3.5%;

5. Suppose the mass of the bridge pier 1 is M, the mass of the annular mass 11 is m, the diameter of the wire rope 4 is d, the stiffness of the wire rope 4 is K ₁ , the stiffness of the spring 8 is K ₂ , and the length of the wire rope 4 is L;

6. The angle between the wire rope 4 and the horizontal direction is α=70°;

7. The distance between the top of the inner package connecting mild steel plate 6 and the bottom of the ring hoop 2 is 2.4m, and the vertical distance between the holes of the wire rope 4 reserved for the corbel I3 and the corbel I12 is about 3m.

According to the basic information of the embodiment, it can be obtained:

but:

m=uM=0.035×120.64=4.222t

Obtain the outer radius of the annular mass 11

The thickness s=R-r=60mm of the annular mass 11 is obtained.

but:

K=(2πf) ² m

also because:

but:

According to the above formula, the relevant component data is calculated as shown in Table 1.

Table 1 Spring, wire rope result table

It can be known from the calculation that in this embodiment, the stiffness of the spring, the stiffness of the wire rope and the diameter of the wire rope can be accurately obtained by formulas.

Preferably, in this practical example, the horizontal vibration frequency range is 5 Hz to 20 Hz, and the vertical vibration frequency range is 5 Hz to 25 Hz. The specifications of the wire rope and spring can be selected according to Table 1. In order to make the system work safely and achieve a good vibration reduction effect, it is recommended that the diameter of the wire rope should be larger than 25.7mm, and the stiffness of the wire rope should be larger than 2.604×10 ⁷ N/m.

The content described in the embodiments of the present specification is only an enumeration of the realization forms of the inventive concept, and the protection scope of the present invention should not be regarded as limited to the specific forms stated in the embodiments, and the protection scope of the present invention also extends to those skilled in the art. Equivalent technical means that can be conceived by a person based on the inventive concept.

Claims (10)

1. Viaduct vibration damping system based on annular TMD, its characterized in that: the bridge pier comprises an annular hoop (2) and an annular mass block (11) which are arranged on a bridge pier from top to bottom, wherein a steel wire rope (4) is connected between the annular mass block (11) and the annular hoop (2);

the annular hoop (2) is divided into four arc-shaped hoop sheets equally along the circumferential direction, the end faces of the four arc-shaped hoop sheets, which are close to each other, are provided with connecting ear plates (5), and the four arc-shaped hoop sheets are combined and connected into the integral annular hoop (2) by arranging bolts on the connecting ear plates (5); the annular hoop (2) is hooped on the pier, and the outer side of each arc-shaped hoop sheet is provided with a bracket I (3);

the inner side of the annular mass block (11) is provided with an annular inner bag connecting soft steel plate (6), the annular inner bag connecting soft steel plate is equally divided into four arc-shaped connecting soft steel plates along the circumferential direction, the end faces, close to each other, of the four arc-shaped connecting soft steel plates are provided with mounting lug plates (15), and the four arc-shaped connecting soft steel plates are combined and connected into a whole inner bag connecting soft steel plate (6) by arranging bolts on the mounting lug plates (15); the inner wrapping connection soft steel plate (6) is hooped on a pier, and the outer side of each arc connection soft steel plate is provided with a first spring cushion block (7a) and a first damping cushion block (9 a);

the annular mass block (11) is equally divided into four arc-shaped mass blocks along the circumferential direction, the end faces, close to each other, of the four arc-shaped mass blocks are provided with lug plates (14), and the four arc-shaped mass blocks are combined and connected into a whole annular mass block (11) by arranging bolts on the lug plates (14); a second spring cushion block (7b) and a second damping cushion block (9b) are arranged at the positions, corresponding to the first spring cushion block (7a) and the first damping cushion block (9a), of the inner side of each arc-shaped mass block; a spring (8) is connected between the first spring cushion block (7a) and the second spring cushion block (7b), and a damper (10) is connected between the first damping cushion block (9a) and the second damping cushion block (9 b); and a bracket II (12) is arranged at the position, corresponding to the bracket I (3), of the outer side of each arc-shaped mass block, and a steel wire rope (4) is connected between the bracket I (3) and the bracket II (12).

2. The overpass damping system of claim 1, based on a toroidal TMD, wherein: the number of the first spring cushion blocks (7a) on the outer side of each arc-shaped connection soft steel plate is four, every two first spring cushion blocks (7a) are symmetrically distributed on two sides of the first damping cushion block (9a) in a group, and two first spring cushion blocks (7a) in each group are arranged up and down; and four second spring cushion blocks (7b) are arranged at the positions, corresponding to the four first spring cushion blocks (7a), of the inner side of each arc-shaped mass block.

3. The overpass damping system of claim 1, based on a toroidal TMD, wherein: holes for connecting the steel wire rope (4) are formed in the bracket I (3) and the bracket II (12), and a steel wire rope sleeve (17) for preventing friction and a wedge-shaped sleeve (16) capable of fixing the steel wire rope (4) in the holes are respectively arranged at two ends of the steel wire rope (4); the included angle between the steel wire rope (4) and the horizontal plane ranges from 65 degrees to 75 degrees.

4. The overpass damping system of claim 1, based on a toroidal TMD, wherein: the damper (10) is a viscous damper, damper connecting pieces (13) used for being connected with a first damping cushion block (9a) and a second damping cushion block (9b) are respectively arranged at two ends of the damper (10), each damper connecting piece (13) comprises a damper parallel connecting plate (19) and a damping connecting bolt (18), the damper parallel connecting plates (19) are fixedly welded with the first damping cushion block (9a) and the second damping cushion block (9b), and the damper (10) is fixedly connected with the damper parallel connecting plates (19) through the damping connecting bolts (18).

5. The overpass damping system of claim 1, based on a toroidal TMD, wherein: the bracket I (3), the bracket II (12), the annular hoop (2), the inner bag connecting soft steel plate (6) and the annular mass block (11) are all made of low-carbon steel; the surface of the annular hoop (2) and the surface of the inner bag connection soft steel plate (6) are coated with anticorrosive paint.

6. The overpass damping system of claim 1, based on a toroidal TMD, wherein: the inner package connecting soft steel plate (6) is fixedly welded with the first spring cushion block (7a) and the first damping cushion block (9a), and the annular mass block (11) is fixedly welded with the second spring cushion block (7b) and the second damping cushion block (9 b); the soft steel plate (6), the first spring cushion block (7a) and the first damping cushion block (9a) are connected in the inner bag, and the annular mass block (11), the second spring cushion block (7b) and the second damping cushion block (9b) are all of an integral prefabricated structure.

7. The overpass damping system of claim 1, based on a toroidal TMD, wherein: the thickness of the annular mass block (11) is 20-25 mm, and the width is 800-1000 mm; the thickness of the inner package connecting soft steel plate (6) is 12-20 mm, and the width of the inner package connecting soft steel plate (6) is consistent with that of the annular mass block (11).

8. The overpass damping system of claim 1, based on a toroidal TMD, wherein: the thickness of the annular hoop (2) is 12 mm-20 mm, and the width of the annular hoop (2) is 400 mm-500 mm.

9. The overpass damping system of claim 1, based on a toroidal TMD, wherein: the distance between the inner side of the annular mass block (11) and the outer side of the inner package connection soft steel plate (6) is the radius length of the pier.

10. The overpass damping system of claim 1, based on a toroidal TMD, wherein: the ratio of the mass of the annular mass block (11) to the mass of the pier is 2% -5%.

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