CN114687279A - Viaduct vibration reduction system based on annular TMD - Google Patents
Viaduct vibration reduction system based on annular TMD Download PDFInfo
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- E—FIXED CONSTRUCTIONS
- E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
- E01D—CONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
- E01D19/00—Structural or constructional details of bridges
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- E—FIXED CONSTRUCTIONS
- E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
- E01D—CONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
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- E—FIXED CONSTRUCTIONS
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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
Technical Field
The invention relates to the technical field of traffic piers, in particular to a viaduct vibration reduction system based on a circular TMD (transition data model).
Background
With the rapid development of economy and the continuous increase of population in China, urban ground traffic is increasingly crowded, and urban traffic forms become more abundant in order to relieve urban traffic pressure. At present, in addition to conventional road traffic, urban viaducts are becoming the main traffic form, especially in urban areas with dense population and traffic tension, such as Chongqing, Shanghai, Hangzhou and the like. Vibration and noise pollution caused by traffic load is listed as one of seven environmental hazards, the land of urban ground is short, and the existing urban viaduct lines penetrate through vibration and noise sensitive units such as residential areas, hospitals and laboratories in short distance, so that the work, life and study of various personnel are greatly influenced. In addition, precision instruments used for scientific research have extremely high requirements on vibration amplitude, and if the viaduct passes through a high-education park, the instruments are also influenced. Viaducts are used as important carriers for urban high-altitude traffic, and designers usually set transparent barriers on two sides of the bridge deck of the viaduct to reduce direct noise pollution during construction. Although the transparent enclosure on the two sides of the bridge deck has a good blocking effect on whistling of vehicles on the bridge deck, direct radiation noise of wheel tracks and the like, on the other hand, the vehicles on the bridge deck as a typical moving source can also cause pier vibration, and the pier vibration can be outwards transmitted in the form of radiation noise through two media of solid and air, so that interference is generated on normal study and life of surrounding residents. Meanwhile, the viaduct generally reaches dozens of meters or even dozens of meters, and if the bridge deck generates larger vibration to cause pier vibration, the stability of surrounding buildings can be influenced. In summary, the importance of pier vibration reduction is self-evident.
In order to reduce the vibration caused to the bridge piers by the vehicle running on the bridge deck of the viaduct, more damping measures are designed between the bridge deck and the bridge piers nowadays. Although vibration reduction measures are designed at the joints of the bridge deck and the piers, and the vibration reduction system and the whole viaduct are integrated into a whole, the integrity of the bridge is usually damaged when the measures at the joints break down, and the travel safety of people and the living safety of surrounding residents are directly influenced. Furthermore, when the damping system equipment ages and needs to be replaced, the operation is complicated and the bridge deck traffic is also affected. In addition, most of pier vibration reduction of present day is directed at lateral vibration, and the pier still can produce vertical vibration except can transversely producing the vibration, and vertical vibration passes through the pier conduction to the ground, can arouse peripheral building vibration equally, produces the influence to the resident.
Disclosure of Invention
In order to overcome the problems, the invention provides an annular TMD-based viaduct vibration damping system suitable for viaducts.
The technical scheme adopted by the invention is as follows: 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 equally divided into four arc-shaped hoop sheets along the circumferential direction, the end faces, close to each other, of the four arc-shaped hoop sheets are provided with connecting lug plates, and the four arc-shaped hoop sheets are combined and connected into an integral annular hoop by arranging bolts on the connecting lug plates; the annular hoop is hooped on the bridge pier, 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 mild steel plate, the annular inner bag connecting mild steel plate is equally divided into four arc-shaped connecting mild steel plates along the circumferential direction, the end surfaces, close to each other, of the four arc-shaped connecting mild steel plates are provided with mounting lug plates, and the four arc-shaped connecting mild steel plates are combined and connected into a whole inner bag connecting mild steel plate by arranging bolts on the mounting lug plates; the inner bag is connected with the soft steel plate and hooped on a pier, and the outer side of each arc-shaped connection 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 end faces, close to each other, of the four arc-shaped mass blocks are provided with lug plates, and the four arc-shaped mass blocks are combined and connected into an integral annular mass block by arranging bolts on the lug plates; a second spring cushion block and a second damping cushion block are arranged at the positions, corresponding to the first spring cushion block and the first damping cushion block, of the inner side of each arc-shaped mass block; a spring is connected between the first spring cushion block and the second spring cushion block, and a damper is connected between the first damping cushion block and the second damping cushion block; and a bracket II is arranged at the position, corresponding to the bracket I, of the outer side of each arc-shaped mass block, and a steel wire rope is connected between the bracket I and the bracket II.
Furthermore, the number of the first spring cushion blocks on the outer side of each arc-shaped connection soft steel plate is four, the four first spring cushion blocks are symmetrically distributed on two sides of the first damping cushion block in a group by two, and the two first spring cushion blocks in each group are arranged up and down; and four second spring cushion blocks are arranged at the positions, corresponding to the four first spring cushion blocks, of the inner side of each arc-shaped mass block.
Furthermore, holes for connecting steel wire ropes are formed in the bracket I and the bracket II, and steel wire rope sleeves for preventing friction and wedge-shaped sleeves capable of fixing the steel wire ropes in the holes are respectively arranged at two ends of each steel wire rope; the included angle between the steel wire rope and the horizontal plane ranges from 65 degrees to 75 degrees.
Furthermore, the damper is a viscous damper, damper connecting pieces used for being connected with the first damping cushion block and the second damping cushion block are arranged at two ends of the damper respectively, each damper connecting piece comprises a damper parallel connecting plate and a damping connecting bolt, the damper parallel connecting plates are fixedly welded with the first damping cushion block and the second damping cushion block, and the damper parallel connecting plates are fixedly connected through the damping connecting bolts.
Furthermore, the bracket I, the bracket II, the annular hoop, the inner bag connecting soft steel plate and the annular mass block are all made of low-carbon steel; the surface of the annular hoop and the surface of the inner bag connection soft steel plate are coated with anticorrosive paint.
Furthermore, the inner bag is fixedly welded with the soft steel plate, the first spring cushion block and the first damping cushion block, and the annular mass block is fixedly welded with the second spring cushion block and the second damping cushion block; the soft steel plate, the first spring cushion block and the first damping cushion block are connected in the inner bag, and the annular mass block, the second spring cushion block and the second damping cushion block are all of an integral prefabricated structure.
Further, the thickness of the annular mass block is 20 mm-25 mm, and the width of the annular mass block is 800 mm-1000 mm; the thickness of the inner package connecting mild steel plate is 12-20 mm, and the width of the inner package connecting mild steel plate is consistent with that of the annular mass block.
Furthermore, the thickness of the annular hoop is 12 mm-20 mm, and the width of the annular hoop is 400 mm-500 mm.
Further, the distance between the inner side of the annular mass block and the outer side of the inner package connection soft steel plate is the radius length of the pier.
Further, the ratio of the mass of the annular mass block to the mass of the pier ranges from 2% to 5%.
The invention mainly reduces the vibration of the bridge pier through two parts:
for transverse vibration, the system is mainly controlled by a TMD system consisting of an annular mass block, a spring and a damper. Secondly, the action in the transverse direction is resolved by the wire rope used to suspend the TMD system and controlled together with the spring.
For vertical vibration, the control is mainly realized by the action of the steel wire rope decomposition in the vertical direction.
The invention has the beneficial effects that:
1. the existing bridge deck vibration reduction and noise reduction mostly adopts a mode of designing a transparent enclosure on the bridge deck, but the mode can only reduce a part of direct noise of vehicles. The bridge floor vehicle is current still can make the pier produce horizontal and vertical vibration, and the pier vibration can be to the all ring edge borders radiation noise, influences peripheral resident's life work and rest through air propagation. The pier vibration can also be transmitted to the foundation through a box girder, the pier, a bearing platform and a pile foundation, and influences on an underground tunnel, a pipeline and the like through foundation propagation, so that unnecessary potential safety hazards are brought. According to the invention, through the action of the steel wire rope in the vertical direction and the action of the TMD system consisting of the annular mass block, the spring and the damper in the horizontal direction, the vibration of the pier in the vertical direction and the horizontal direction is reduced, and the energy transmitted to the surrounding environment by the pier through the vibration is reduced.
2. The transverse vibration frequency of the urban viaduct pier is generally between 5Hz and 20Hz, and the vertical vibration frequency is between 5Hz and 25 Hz. The vibration damping device is sensitive to the vibration frequency between 5Hz and 25Hz, and can well solve the vibration damping problem of the pier in the full frequency range under the combined control of the annular mass block, the spring, the damper and the steel wire rope.
3. According to the annular vibration damping TMD system, the springs and the dampers in different directions surround the periphery of the bridge pier, and the system can effectively consume energy generated by vibration of the bridge pier and slow down horizontal vibration of the bridge pier in multiple directions by utilizing the buffer action of the cooperation of the dampers and the system stiffness structure.
4. The invention has simple installation process and low assembly requirement, greatly reduces the manufacturing and installation cost of vibration reduction measures, and does not influence the integrity of the viaduct.
Drawings
FIG. 1 is a schematic structural view of the present invention;
FIG. 2 is a schematic structural view of a ring-shaped hoop part;
FIG. 3 is a schematic structural diagram of the annular mass block and the inner package connecting mild steel plate;
FIG. 4 is a schematic structural view of a steel cord;
fig. 5 is a schematic view of the damper and damper connection.
Description of the reference numerals: 1-pier, 2-annular hoop, 3-bracket I, 4-steel wire rope, 5-connecting lug plate, 6-inner wrapping connecting soft steel plate, 7-spring cushion block, 8-spring, 9-damping cushion block, 10-damper, 11-annular mass block, 12-bracket II, 13-damper connecting piece, 14-lug plate, 15-mounting lug plate, 16-wedge-shaped sleeve, 17-steel wire rope protective sleeve, 18-damping connecting bolt and 19-damper parallel connecting plate.
Detailed Description
The technical solutions of the present invention will be described clearly and completely with reference to the accompanying drawings, and it should be understood that the described embodiments are only some embodiments, but not all embodiments, of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
In the description of the present invention, it should be noted that the orientations or positional relationships indicated as the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", etc., appear based on the orientations or positional relationships shown in the drawings only for the convenience of describing the present invention and simplifying the description, but not for indicating or implying that the referred devices or elements must have a specific orientation, be constructed and operated in a specific orientation, and thus should not be construed as limiting the present invention. Furthermore, the terms "first," "second," and "third" as appearing herein are used for descriptive purposes only and are not to be construed as indicating or implying relative importance.
In the description of the present invention, it should be noted that, unless otherwise explicitly stated or limited, the terms "mounted," "connected," and "connected" should be interpreted broadly, e.g., as being fixed or detachable or integrally connected; can be mechanically or electrically connected; they may be connected directly or indirectly through intervening media, or they may be interconnected between two elements. The specific meanings of the above terms in the present invention can be understood in a specific case to those of ordinary skill in the art.
Example 1
As shown in fig. 1, the viaduct vibration damping system based on the annular TMD comprises an annular hoop 2 and an annular mass block 11 which are arranged on a pier 1 from top to bottom, wherein a steel wire rope 4 is connected between the annular mass block 11 and the annular hoop 2;
as shown in fig. 2, the annular hoop 2 is equally divided into four arc-shaped hoop sheets along the circumferential direction, the end surfaces of the four arc-shaped hoop sheets 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 bridge pier 1, and a bracket I3 is welded on the outer side of each arc-shaped hoop sheet; holes are reserved on each bracket I3, and the size of the holes is matched with the thickness of the used wedge-shaped sleeve 16 and the steel wire rope 4.
The number and size of the openings in the connecting lug plate 5 are influenced by the size of the connecting lug plate 5, and the diameter of the opening is not preferably greater than 0.7 times the width of the connecting lug plate 5. The diameter of the bolts used for connecting the lug plates 5 can be designed as the case may be. For this embodiment, the connecting bolt is subjected primarily to transverse shear forces and, at the same time, to external tensile forces in the direction of the bolt shank axis during operation of the system.
For a normal bolt, the diameter of the bolt should be calculated according to the following formula:
in the formula: n isvThe number of the faces to be cut; d is the bolt diameter;
designed values of shear and bearing strength of the bolt (unit: N/mm)2)。
For the friction type connection of the high-strength bolt, the shearing force between the friction surfaces and the external pulling force in the bolt rod shaft direction are borne simultaneously, and then the diameter of the high-strength bolt can be calculated according to the following formula:
in the formula: n is a radical ofv、NtRespectively the shearing force and the pulling force (unit: N) born by a certain high-strength bolt;
the design values (unit: N) of the shear and tension bearing capacity of a high-strength bolt are respectively.
As shown in fig. 3, an annular inner bag connecting mild steel plate 6 is arranged on the inner side of the annular mass block 11, the annular inner bag connecting mild steel plate 6 is equally divided into four arc-shaped connecting mild steel plates along the circumferential direction, mounting ear plates 15 are arranged on the end surfaces, close to each other, of the four arc-shaped connecting mild steel plates, and the four arc-shaped connecting mild steel plates are combined and connected into a whole inner bag connecting mild steel plate 6 by arranging bolts on the mounting ear plates 15; it should be noted that the diameter and number of the bolts for connecting and fixing the ear plate 15 can be designed according to the actual situation, and the calculation formula is the same as formula 1 and formula 2. The inner-wrapping connection soft steel plate 6 is hooped on the pier 1, four first spring cushion blocks 7a and one first damping cushion block 9a are arranged on the outer side of each arc-shaped connection soft steel plate, the four first spring cushion blocks 7a are symmetrically distributed on two sides of the first damping cushion block 9a in a pairwise and grouped manner, and the two first spring cushion blocks 7a in each group are arranged up and down; 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 the integral annular mass block 11 by arranging bolts on the lug plates 14; the diameter and number of bolts on the ear plate 14 can be designed according to different embodiments, and the calculation formula is the same as formula 1 and formula 2.
Four second spring cushion blocks 7b and one second damping cushion block 9b are arranged at the positions, corresponding to the four first spring cushion blocks 7a and the one 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 I3, of the outer side of each arc-shaped mass block, and a steel wire rope 4 is connected between the bracket I3 and the bracket II 12. Holes for connecting the steel wire rope 4 are formed in the bracket I3 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 is 65-75 degrees.
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. The damper has good vibration reduction and energy consumption effects, and can consume a large amount of energy when the structure is displaced or deformed, so that the structural vibration is effectively reduced. The two ends of the damper 10 are respectively provided with a damper connecting piece 13 used for being connected with the first damping cushion block 9a and the second damping cushion block 9b, 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 welded and fixed 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. The diameter of the damping attachment bolt 18 may also be calculated according to equations 1 and 2.
In this example
In order to ensure that the annular hoop 2 can be tightly attached to the pier 1, low-carbon steel is recommended to be selected as a steel material, and anti-corrosion paint can be brushed on the surface of the annular hoop 2 to ensure the anti-corrosion property. The bracket I3 of the annular hoop 2 is suggested to be made of low-carbon steel to ensure the welding reliability. The annular hoop 2 is made of a thick steel plate, and the thickness of the steel plate is generally 12-20 mm; the width is generally 400 mm-500 mm. The connecting lug plates 5 and each arc-shaped hoop sheet are integrated, and the structure is directly prefabricated in a factory.
The first spring cushion block 7a, the first damping cushion block 9a and the mounting lug plate 15 are integrated with each arc-shaped connection soft steel plate, and the structure is directly prefabricated in a factory; similarly, the second spring cushion block 7b, the second damping cushion block 9b and the ear plate 14 are integrated with each arc-shaped mass block, and the structure is directly prefabricated in a factory.
The bracket II 12 of the annular mass block 11 is low-carbon steel recommended to ensure the reliability of welding. The material of the annular mass 11 suggests to choose a low carbon steel with good ductility and good corrosion resistance. The thickness of the annular mass 11 is preferably chosen between 20mm and 25mm, and the width is preferably chosen between 800mm and 1000 mm. The distance between the inner side of the annular mass block 11 and the outer side of the inner package connecting soft steel plate 6 is the radius length of the pier 1.
The inner bag connecting soft steel plate 6 is a thick steel plate, the thickness of the steel plate is generally 12 mm-20 mm, and the width of the steel plate is consistent with that of the annular mass block. The soft steel plate 6 is connected to the endocyst for guaranteeing that it can closely laminate pier 1, proposes that the steel material selects low carbon steel, can also brush anticorrosive paint on the surface of the soft steel plate 6 is connected to the endocyst for guaranteeing its anticorrosive nature. The components made of the low carbon steel material all have the carbon content of 0.1 percent, and the density of the low carbon steel is 7.85t/m3。
In a conventional TMD damping system, the mass of an additional mass block of the damping system is usually within the range of 2% -5% of the mass of an original structure, and the damping effect of the TMD damping system is more obvious when the mass of the additional mass block is larger. In order to ensure good damping performance of the annular damping TMD system, the mass ratio u of the TMD system is selected from 2% to 5%, wherein the mass ratio u is the ratio of the mass of the additional mass block to the mass of the main structure, and the mass of the main structure is the mass of the pier 1 in the present specification.
The steel wire rope 4 is made of stainless steel and carbon steel. The steel wire rope 4 in the annular damping TMD system is recommended to be made of stainless steel for long-term use, so that the annular damping TMD system is attractive and corrosion-resistant. The stainless steel model proposes 304C, and the elastic modulus of the stainless steel model is generally 190GPa at the temperature of 20 ℃. In order to match the angle selection of the steel wire rope 4, the length of the steel wire rope 4 can be adjusted, so that the optimal vibration reduction effect is achieved.
The material of the spring 8 can be selected from high-quality carbon steel, alloy steel, non-ferrous metal alloy stainless steel and the like.
Example 2
Before installing this TMD system, should reserve two recesses that have certain size in pier 1 department, the size of recess should with annular staple bolt 2 and endocyst are connected mild steel plate 6 and are corresponding, in order to guarantee annular staple bolt 2 and endocyst are connected mild steel plate 6 and can be closely laminated pier 1 installation to effectively reduce the vibration of pier 1.
The steel wire rope 4 passes through holes reserved on the bracket I3 and the bracket II 12 to suspend the annular mass block 11. Holes in the bracket I3 and the bracket II 12 are matched with the diameter of the steel wire rope 4 so as to ensure that the bracket I3 and the bracket II are tightly connected. The number of steel cords 4 is four and the diameter and length of each steel cord 4 can be varied by the stiffness required in different embodiments.
The installation steps are as follows:
the first step is as follows: each part of an annular damping TMD system prefabricated in a factory is delivered to the periphery of the pier 1, and before hoisting, each part is placed according to the position on a drawing.
The second step is that: and sequentially hoisting each arc-shaped hoop sheet of the annular hoop 2 to a preset installation position, connecting the adjacent arc-shaped hoop sheets by using bolts, and checking whether the arc-shaped hoop sheets are tightly connected with the bridge pier or not.
Preferably, in order to ensure the vibration damping effect of the vibration damping system, the annular vibration damping TMD system should be installed at the upper part of the pier 1 as much as possible, in this embodiment, the installation position of the annular hoop 2 is recommended to be selected below the position where the bottom of the bridge deck is connected with the top of the pier, and the distance is recommended to be 600mm to 1000 mm.
The third step: and sequentially hoisting each arc-shaped connection mild steel plate of the inner bag connection mild steel plate 6 to a preset installation position, connecting the adjacent arc-shaped connection mild steel plates by using bolts, and checking whether the connection with the pier 1 is tight. The position of the inner bag connected with the mild steel plate 6 is positioned below the annular hoop 2.
Preferably, in order to ensure that the steel wire rope 4 and the annular mass block 11 have a good working environment, the distance between the top of the internally-wrapped connection mild steel plate 6 and the bottom of the annular hoop 2 is 1.5-2 times of the diameter of the pier 1.
The fourth step: four wire ropes 4 are sequentially hung at the I3 position of the bracket of the annular hoop 2, and one end of each wire rope 4 is tightly connected with the I3 position of the bracket by a wedge-shaped sleeve 16.
The fifth step: each arc-shaped mass block of the annular mass block 11 is sequentially hung to a designated position. The other end of the steel wire rope 4 is connected to a bracket II 12 of the annular mass block 11 in the same way of connecting the wedge-shaped sleeves 16, and then the adjacent arc-shaped mass blocks are connected through bolts.
Preferably, the top of the annular mass block 11 and the top of the inner bag connecting mild steel plate 6 are in a horizontal plane and correspond to each other in position.
And a sixth step: install spring 8 between endocyst connection mild steel plate 6 and annular quality piece 11 in proper order, for guaranteeing that spring 8 is not hard up in system's course of operation, need weld together with the first spring cushion 7a of endocyst connection mild steel plate 6 outside and the second spring cushion 7b of annular quality piece 11 inboard respectively spring 8 both ends with the mode of electric welding.
The seventh step: the damper 10 is connected with the damper parallel connecting plates 19 on the first damping cushion block 9a at the outer side of the soft steel plate 6 and the second damping cushion block 9b at the inner side of the annular mass block 11 in turn through the damping connecting bolts 18.
Example 3
The embodiment aims to specifically analyze the stiffness range and the diameter of the steel wire rope 4, the stiffness range of the spring 8 and the mass range of the annular mass block 11 by using a specific embodiment.
In this example
1. The diameter D of the pier 1 is 1600mm, the concrete grade is C30, the height h is 25m, and the volume is V1Density ρ1＝2.40t/m3；
2. The annular hoop 2 is 16mm thick and 400mm wide, and the inner package connecting mild steel plate 6 is 20mm thick and 1000mm wide;
3. the inner radius R of the annular mass block 11 is 1600mm, the outer radius is R, the steel material is low carbon steel (carbon content is 0.1%), and the volume of the annular mass block 11 is V2Thickness s, density ρ2＝7.85t/m3；
4. The mass ratio u is between 2% and 5%, and in the embodiment, u is 3.5%;
5. the mass of the pier 1 is M, the mass of the annular mass block 11 is M, the diameter of the steel wire rope 4 is d, and the rigidity of the steel wire rope 4 is K1Spring 8 stiffness K2The length of the steel wire rope 4 is L;
6. the included angle alpha between the steel wire rope 4 and the horizontal direction is 70 degrees;
7. the distance between the top of the internally-wrapped connection mild steel plate 6 and the bottom of the annular hoop 2 is 2.4m, and the vertical distance of the holes of the steel wire rope 4 reserved by the bracket I3 and the bracket I12 is about 3 m.
According to an embodiment, the basic information can be obtained:
then:
m＝uM＝0.035×120.64＝4.222t
the outer radius of the annular mass block 11 is determined
The thickness s-R-60 mm of the annular mass 11 is obtained.
Then:
K＝(2πf)2m
and because:
then:
the data of the related components calculated according to the above formula are shown in table 1.
TABLE 1 spring, wire rope result table
As can be seen from the calculation, in this embodiment, the stiffness of the spring, the stiffness of the wire rope, and the diameter of the wire rope can be accurately calculated by the formula.
Preferably, in this practical example, the horizontal vibration frequency interval is 5Hz to 20Hz, and the vertical vibration frequency interval is 5Hz to 25 Hz. The selection of the wire rope and spring specifications can be selected according to table 1, and in order to enable the system to work safely and to achieve a good damping effect, it is recommended that the wire rope diameter be greater than 25.7mm and the wire rope stiffness be greater than 2.604 x 107N/m。
The embodiments described in this specification are merely illustrative of implementations of the inventive concept and the scope of the present invention should not be considered limited to the specific forms set forth in the embodiments but rather by the equivalents thereof as may occur to those skilled in the art upon consideration of the present 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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| CN202210347218.9A CN114687279A (en) | 2022-04-01 | 2022-04-01 | Viaduct vibration reduction system based on annular TMD |
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