CN109610302A - Combined type bridge Torsional Vibration Control system - Google Patents

Combined type bridge Torsional Vibration Control system Download PDF

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Publication number
CN109610302A
CN109610302A CN201910103487.9A CN201910103487A CN109610302A CN 109610302 A CN109610302 A CN 109610302A CN 201910103487 A CN201910103487 A CN 201910103487A CN 109610302 A CN109610302 A CN 109610302A
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driver
control
bridge
control module
control system
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CN201910103487.9A
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CN109610302B (en
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张春巍
王昊
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Qingdao University of Technology
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Qingdao University of Technology
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Priority to CN201910103487.9A priority Critical patent/CN109610302B/en
Publication of CN109610302A publication Critical patent/CN109610302A/en
Priority to AU2019101722A priority patent/AU2019101722A4/en
Priority to PCT/CN2019/105642 priority patent/WO2020155633A1/en
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    • EFIXED CONSTRUCTIONS
    • E01CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01DCONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
    • E01D19/00Structural or constructional details of bridges
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02ATECHNOLOGIES FOR ADAPTATION TO CLIMATE CHANGE
    • Y02A30/00Adapting or protecting infrastructure or their operation
    • Y02A30/30Adapting or protecting infrastructure or their operation in transportation, e.g. on roads, waterways or railways

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  • Engineering & Computer Science (AREA)
  • Architecture (AREA)
  • Civil Engineering (AREA)
  • Structural Engineering (AREA)
  • Vibration Prevention Devices (AREA)
  • Bridges Or Land Bridges (AREA)
  • Buildings Adapted To Withstand Abnormal External Influences (AREA)

Abstract

The present invention relates to the inhibition fields vibrated in system, in particular to a kind of combined type bridge Torsional Vibration Control system comprising encapsulation body, active control module and two passive control modules;Encapsulating body mainly includes side plate, top plate and bottom plate, two vertical baffles, cover board and main force transmitting board;Active control module includes mounting base, driver, speed changer, shaft, rotary inertia disk and flange;Passive control module includes suspention damper and mass block;The present invention can pass through the actual motion situation of structure, the rotary inertia of control system rotates, to provide the power suitably acted on controlled bridge, achieve the purpose that vibration control, this system arranges in pairs or groups passive control module also to cooperate active control module simultaneously, combination forms a set of combined type, not only can be to bridge plane vibration, but also the shimmy control system for generating good control effect can be reversed to bridge.

Description

Combined type bridge Torsional Vibration Control system
Technical field
The present invention relates to the inhibition fields vibrated in system, in particular to a kind of combined type bridge twisting vibration control System processed.
Background technique
In recent years, it is also continuously improved with social progress, requirement of the people to living space with the development of economy, country Investment in terms of infrastructure constantly increases.Country is increasing in the investment of civil engineering, highway, railway, bridge, Skyscraper, large-span space structure etc. are constantly built.In addition to this, people, which also explore, develops broader space, to " deeply Sea ", " deep space " are explored, and the structures such as ocean platform, space station are also quickly grown.These space structures, construction and after Phase runs in use process, all inevitably effects by various loads, including dead load and dynamic load.In making for structure With in the process, to the often Under Dynamic Load, such as earthquake, wind, wave, stream, ice, explosion that structure is affected, structure is at these Vibration can be generated under the action of dynamic load, can be caused fatigue and integrity problem under normal circumstances, be will cause structure when serious Damage inactivation, cause casualties and property loss.Structure in use, after Under Dynamic Load, such as geological process, Structure generates collapse, can not continue to use, or even if structure is not collapsed, but its internal installations and facilities, decoration fill It repairs, can not also continue to use after installation system is destroyed, or even cause secondary disaster, this causes huge to user of service Security threat and economic asset loss.
On the other hand, it is constantly progressive with the development of economy with technology, requirement of the people to structure no longer only office Be limited to can be used, also safety of structure, in terms of more stringent requirements are proposed.People in the use process of structure, Works does not only need to ensure that the life security of people, it is also necessary to meet requirement of the people to comfort level etc..Such as, high-rise knot Structure can generate vibration under wind action, in the case where not subtracting isolation measure, can feel to tie in high-rise user The shaking of structure object, in the biggish situation of wind-force, the installations and facilities inside works even will receive vibrated as works caused by It destroys, this is not only unable to satisfy people to the comfort requirement of works, also threatens to economic asset.
It is various caused by being vibrated by works in order to solve the problems, such as, it eliminates or mitigates and vibrated as caused by external loads, shaken Dynamic control technology is rapidly developed in recent years.Be not only in field of civil engineering, vibration control technology aerospace, The fields such as automobile, machinery, ocean engineering, military engineering are also hot spot direction.For civil engineering structure, in the structure properly Safe vibration control system can effectively mitigate the dynamic response of structure, mitigate structural damage or fatigue damage, thus Meet people to the demands such as safe, comfortable of structure, reaches the reasonable balance of safety, economy, reliability.Numerous studies table Bright, vibration control technology has significant effect and important meaning in the application of civil engineering, can not only prevent or mitigate Structural damage improves the performance of taking precautions against natural calamities of structure, guarantees the security of the lives and property of people, can be reduced with the extending structure service life The maintenance cost of structure greatly meets the comfort level requirement of people under extreme conditions to structure.
In terms of vibration control of civil engineering structure technology is broadly divided into following four: active control, passive control, half are actively Control and mixing control.Wherein, the research of passive control technology have been relatively mature, wherein the dress for passively tuning energy-absorbing Setting mainly includes tuned mass damper and Tuned Liquid etc., is answered in many civil engineering structures With.TMD control principle be it is consistent or close with main structure i.e. controlled structures by adjusting the minor structure i.e. frequency of damper, make Minor structure and main structure resonate, by the internally-damped mechanism dissipation main structure vibrational energy of minor structure, so that it is dynamic to cut down main structure Force-responsive achievees the purpose that vibration control.A large amount of research and practical application are it has been shown that for example: 60 layers of boston, U.S.A The building John Hancock, Malaysian Kuala Lumpur Petronas Towers, 101 building of Chinese Taibei be respectively mounted TMD vibration control system System has stable, good control effect by the passive control TMD system of the application attestation in the later period.
The forms of motion of structure has complicated and diversified characteristic, is usually composed of translation and torsionoscillation.However It is found when controlling suspended mass system vibration problems using TMD system: when structure suspension direction is consistent with its lagging motion direction When, either under initial offset or Simple Harmonic Load excitation input, TMD system can play effective control action;Work as handle TMD system is used for the shimmy control in another direction of structure i.e. when structure suspension direction and its lagging motion direction are mutually perpendicular to, System parameter (such as structure pendulum length, control system position) is adjusted in any case, TMD system can not work always.By a large amount of Theory analysis and experimental exploration, propose translation TMD control system can only control structure translational motion and to turn round it is shimmy Control invalid conclusion.By scholar's studies have shown that its basic reason is that the passive control systems such as TMD, TLD are at this time Apocarpy and it is ineffective, System Nature gauge block (or water in TLD water tank) does not move or even active mass damper/ Driver (English name Active Mass Damper/Driver, AMD) control system active controlling force is because needing to overcome mass block Weight component and make the big heavy discount of its control efficiency.However have the structure motion form for turning round shimmy kinetic characteristic extremely normal See, such as: the wind induced flutter of Longspan Bridge;The swing of overhung construction;Torsion of the asymmetric buildings under wind action is shimmy; Torsion of the ocean platform under the couplings such as wave, wind, ice is shimmy etc..Therefore need to design a kind of special structural vibration/ Kinetic control system, the influence for allowing to overcome (or getting rid of) gravitational field to control system itself automatically (centrifugal force effect), Or work/characteristics of motion of control system itself and gravitational field are decoupled, system self-vibration is not influenced by gravitation, two above side Face can achieve the purpose for making control system sufficient movement get up, so that playing control system has structure motion/vibration Imitate control action.
In conclusion existing structural vibration control device/system is in the indispensable using having of field of civil engineering Effect, and to ensure structure user life and property have very important significance.But existing structural vibration Control device/system mainly shows the deficiency of following several respects: first, translation TMD control device can only control structure it is flat It moves movement and controls in vain revolution is shimmy;Second, although translation AMD control device can control revolution shimmy, but control Efficiency is extremely low, is unable to satisfy requirement;Third, passive rotation inertia tuned damper is effective to shimmy motion control is turned round, But it needs to carry out complicated frequency modulation for structure itself, and it is lower to certain labyrinth control efficiencies, it is ineffective, exist The disadvantages of robustness is low, and controllability is low, and the scope of application is small.The above deficiency causes existing the controlling of vibration device can not be very The vibration problems such as good solution bridge wind induced flutter, it is existing especially when translation and torsion complex vibration situation occur for bridge Vibration control apparatus be unable to satisfy the demand of vibration control.
The present invention is exactly to generate in this context.
Summary of the invention
The present invention can pass through the actual motion situation of structure, the rotary inertia disk rotary motion of control system, to mention For the power suitably acted on controlled bridge, achieve the purpose that vibration control.This system is also arranged in pairs or groups passive control module simultaneously Cooperating active control module, combination forms a set of combined type, not only can be to bridge vertical motion, but also bridge floor can be reversed The shimmy control system for generating good control effect.
General bridge does not occur under larger response condition, system as common passive control device, passive control module Suspended mass block and elastic damping device play control action;When bridge is by external stronger incentive action, the passive control of generation System is when can no longer meet the response of requirement, control system can by bridge actual motion situation, passive control unit and Active control module plays a role jointly, to provide the control force suitably acted on bridge, both can control translation vibration Dynamic form also can control torsion pendulum vibrational form, achieve the purpose that vibration control.
The system makes the power for acting on bridge appropriate by operation, ensure that control effect and controls the balance pass of cost System, realizes higher control efficiency.The system can be applied to the basic prototype fortune of mechanics problem following but not limited to the following In movable model: long-span bridge vibration of beam;Single pendulum structure freely swings;The vibration of constrained inverted pendulum structure;Rigid body is around sky Between any axis fixed-axis rotation etc..
The main purpose of the present invention is to provide a kind of combined type bridge Torsional Vibration Control systems, to solve the prior art Middle translation TMD fails to shimmy motion control is turned round;The AMD control efficiency that is translatable is low, effect is poor;Passive tuning rotary inertia resistance The control of Buddhist nun's device is applicable in the problem that robustness is low, frequency modulation technology is complicated, the scope of application is small.
To achieve the goals above, the following technical solution is employed by the present invention:
A kind of combined type bridge Torsional Vibration Control system comprising encapsulation body, active control module and two quilts Dynamic control module;
Encapsulating body mainly includes side plate, top plate and bottom plate, two vertical baffles, cover board and main force transmitting board;It is set on top plate There is fixation hole, top plate is parallel with bottom plate, and two sides are connected with side plate respectively, and main force transmitting board and cover board are separately mounted to front and rear sides, A closed box-packed cavity is formed, box-packed cavity is divided into three chambers by the upper and lower side connection top plate and bottom plate of vertical baffle Room;
Active control module is located at intermediate cavity, and active control module includes mounting base, driver, speed changer, shaft, turns Dynamic inertia disc and flange;Mounting base is fixed on main force transmitting board, fixed drive in mounting base, driver output end and change Fast device connects, transmission output connection shaft, is fixed with rotary inertia disk by flange in shaft;
Passive control module is separately mounted in two side cavities, and passive control module includes elastic damping device and quality Block;Mass block is connected to the end of elastic damping device, and the elastic damping device includes outer sleeve, high strong spring, connecting rod, oil Envelope, buffer stopper, piston valve and bottom valve;Connecting rod is fixed on top plate, and connecting rod end is equipped with buffer stopper and piston valve, buffering It is coupled with several through-holes, buffer stopper and piston valve with outer sleeve on block and piston valve, is equipped at the top of outer sleeve Oil sealing, bottom are equipped with bottom valve, are equipped with high strong spring on the outside of connecting rod, and high-strength spring one end is fixed on top plate, and the other end connects It connects at the top of outer sleeve;Outer sleeve lower end quality of connection block, mass block drive outer sleeve to move up and down along connecting rod;
Sensor is installed in controlled bridge structure;For detecting the exercise data of controlled bridge structure;
Driver bottom is equipped with photoelectric encoder, and driver is coaxially connected with retarder, photoelectric encoder.
Further, it is full of in the chamber formed between oil sealing and buffer stopper, buffer stopper and piston valve, piston valve and bottom valve Damping fluid.
Further, it is also equipped with driver rack outside driver, driver rack includes clamping rings and several Leg, supporting leg are mounted on clamping rings, and clamping rings is fixed on a drive, and supporting leg is fixed on main force transmitting board.
Further, the driver of the active control unit is stepper motor or servo motor.
Further, the speed changer is usually retarder.
Further, the rotary inertia disk is the disk or annulus of certain mass, and the output shaft of driver and rotation are used Amount disk vertically connects.
Further, further include controller, controller respectively with driver, sensor and be mounted on driver tip Encoder connection.
The invention has the following advantages:
(1) present invention combines translation control and reverses shimmy control technology, so that control system may be mounted at controlled bridge On the downside of face, translation and rotation double control effect are played;
(2) present invention combines actively and passively control technology, and the TMD for the form of suspending in midair and rotary inertia drive control are filled The advantages of setting combines, the mode matched using multiple units, ensure that the effect of control, control force can to the greatest extent Control, can according to need only by adjusting systematic control algorithm to realize different control effects;
(3) system uses driver, realizes the output of control force, without carrying out complicated frequency modulation design process, simultaneously Also the problem of getting rid of the technical restriction due to frequency modulation and cannot achieve control, the scope of application is wider;
(4) system has bigger robustness, is not made by the variation that structure type variation and external loads act on Control effect is by excessive influence.
Detailed description of the invention
Fig. 1 is overall structure stereogram of the present invention;
Fig. 2 is overall structure top view of the present invention;
Fig. 3 is elastic damping device structural schematic diagram;
Wherein, the above drawings include the following reference numerals: 1, side plate;2, top plate;3, bottom plate;4, vertical baffle;5, cover board; 6, main force transmitting board;7, mounting base;8, driver;9, speed changer;10, shaft;11, rotary inertia disk;12, flange;13, elasticity resistance Buddhist nun's device;131, outer sleeve;132, high strong spring;133, connecting rod;134, oil sealing;135, buffer stopper;136, piston valve;137, bottom Valve;14, mass block;15, driver rack.
Specific embodiment
The present invention will be further explained below with reference to the attached drawings.
As shown in Figure 1-3, combined type bridge Torsional Vibration Control system of the present invention includes encapsulation body, actively controls Molding block and two passive control modules;
Encapsulating body mainly includes side plate 1, top plate 2,3, two vertical baffles 4 of bottom plate, cover board 5 and main force transmitting board 6;Top Plate is equipped with fixation hole 21, and top plate is parallel with bottom plate, and two sides are connected with side plate respectively, before main force transmitting board and cover board are separately mounted to Two sides afterwards, form a closed box-packed cavity, and box-packed cavity is divided by the upper and lower side connection top plate and bottom plate of vertical baffle Three chambers, encapsulation body are the carriers of active control module and passive control module, are connected with the bridge floor downside of controlled bridge It connects.
Active control module is located at intermediate cavity, and active control module includes mounting base 7, driver 8, speed changer 9, shaft 10, rotary inertia disk 11 and flange 12;Mounting base is fixed on main force transmitting board, fixed drive in mounting base, and driver is defeated Outlet is connect with speed changer, transmission output connection shaft, is fixed with rotary inertia disk by flange in shaft;
Driver bottom is equipped with photoelectric encoder, and driver is coaxially connected with retarder, photoelectric encoder, outside driver It is also equipped with driver rack 15, driver rack includes that clamping rings and several supporting legs, supporting leg are mounted on clamping rings, Clamping rings is fixed on a drive, and supporting leg is fixed on main force transmitting board, better supporting driver and entire active control Module, driver are stepper motor or servo motor.
It is not the output of high revolving speed since the present invention is required but the output of power, speed changer are usually retarder, to subtract Small revolving speed meets the output of power.
Plane where rotary inertia disk is vertical with bridge floor, and two passive control modules are also vertical with bridge floor, rotary inertia disk For the disk or annulus of certain mass, material is usually metal material or the higher other materials of density, the output of driver Axis is vertical with rotary inertia disk to be connect.
Passive control module is separately mounted in two side cavities, and passive control module includes elastic damping device 13 and quality Block 14;Mass block is connected to the end of elastic damping device, and the elastic damping device includes outer sleeve 131, high strong spring 132, connecting rod 133, oil sealing 134, buffer stopper 135, piston valve 136 and bottom valve 137;Connecting rod is fixed on top plate, connecting rod end Buffer stopper and piston valve are installed, have several through-holes, buffer stopper and piston valve and outer sleeve on buffer stopper and piston valve It is coupled, oil sealing is installed at the top of outer sleeve, bottom is equipped with bottom valve, is equipped with high strong spring, high-strength bullet on the outside of connecting rod Spring one end is fixed on top plate, and the other end is connected at the top of outer sleeve;Outer sleeve lower end quality of connection block, mass block drive housing Cylinder moves up and down along connecting rod;It is filled in the chamber formed between oil sealing and buffer stopper, buffer stopper and piston valve, piston valve and bottom valve Full damping liquid.
In rotary inertia disk and passive control module in active control module elastic damping device with controlled bridge Bridge floor is vertical.
Combined type bridge Torsional Vibration Control system of the present invention further includes controller, controller respectively with driving Device, sensor and the encoder connection for being mounted on driver tip.Controller receives the encoder for being mounted on driver tip And it is mounted on the signal of the sensor in controlled structure, and transmit revolution of the control signal to driver, to rotary inertia disk Shimmy state is controlled.
It is of the invention use process is as follows described:
General bridge does not occur under larger response condition, and system is as passive control device, the mass block and elasticity of suspention Damping unit plays control action;Under the action of high strong spring, vertical motion occurs for bridge floor, and passive device plays a role, matter Gauge block drives outer sleeve to vibrate up and down along connecting rod, and in vibration processes, buffer stopper and piston valve do simple harmonic quantity fortune in outer sleeve lining It is dynamic, through-hole is had on buffer stopper and piston valve, damping fluid is entered during vibration in different chambers, and damping fluid is to work The movement of plug, buffer stopper, which generates, hinders movement, reduces the frequency that they are moved back and forth, to be gradually reduced bridge floor straight to consume energy It is vibrated to eliminating, therefore, lesser Oscillation Amplitude can bring relatively good inhibition with the vibratory response for controlled bridge girder construction Effect, the bottom valve of outer sleeve bottom can reduce bridge floor vertical motion it is strong when shock of the outer sleeve to connecting rod bottom, protection dress It sets not damaged.
When bridge is by external stronger incentive action, when the passive control of generation can no longer meet the response of requirement, control System processed can be played a role jointly by bridge actual motion situation, passive control module and active control module, thus The control force suitably acted on bridge is provided, both can control translation vibration mode or can control torsion pendulum vibrational shape Formula, first sensor acquire the lagging motion state of controlled bridge structure, and vibration data is sent to controller, controller control Driver movement processed, driver can control rotary inertia disk and revolution rotation occur according to the structure motion state of real-time measurement, The active force that the rotation of rotary inertia disk generates acts on main force transmitting board, and then to passing to and controlled bridge, inhibits controlled bridge Face torsion.Driver tip is coaxially installed with encoder, acquires the rotation situation of driver in real time, feeds back to controller, realizes The closed-loop control device of controller and controlled Modular Bridge System and driver, the bridge floor by acquiring controlled bridge structure in real time are turned round The amplitude and frequency turned changes the rotation of the rotating mass disk of driver control in real time, and adjustment effect is in controlled bridge structure On control moment, adjust drive energy output size, the vibration of control structure guarantees higher control efficiency, reach vibration The purpose of control.
Passive control module mainly works to the vertical motion of bridge floor, when controlled bridge twists, because of torsion In the process also with vertical displacement by a small margin, thus passive control module bridge can also be reversed at this moment play it is corresponding auxiliary Help control action.
Certainly, above content is only presently preferred embodiments of the present invention, be should not be construed as limiting to implementation of the invention Example range.The present invention is also not limited to the example above, and those skilled in the art are in essential scope of the invention Interior made all the changes and improvements etc., should all belong in patent covering scope of the invention.

Claims (7)

1. a kind of combined type bridge Torsional Vibration Control system, which is characterized in that including encapsulation body, active control module and Two passive control modules;
Encapsulating body mainly includes side plate (1), top plate (2), bottom plate (3), two vertical baffles (4), cover board (5) and main power transmission Plate (6);Top plate (2) is equipped with fixation hole (21), and top plate (2) is parallel with bottom plate (3), and two sides use side plate (1) to connect respectively, main biography Power plate (6) and cover board (5) are separately mounted to front and rear sides, form a closed box-packed cavity, the upper and lower side of vertical baffle (4) Top plate (2) and bottom plate (3) are connected, box-packed cavity is divided into three chambers;
Active control module is located at intermediate cavity, and active control module includes mounting base (7), driver (8), speed changer (9), turns Axis (10), rotary inertia disk (11) and flange (12);Mounting base (7) is fixed on main force transmitting board (6), solid in mounting base (7) Fixed driver (8), driver (8) output end are connect with speed changer (9), speed changer (9) output connection rotating shaft (10), shaft (10) rotary inertia disk (11) are fixed with by flange (12) on;
Passive control module is separately mounted in two side cavities, and passive control module includes elastic damping device (13) and mass block (14);Mass block (14) is connected to the end of elastic damping device (13), and the elastic damping device (13) includes outer sleeve (131), high strong spring (132), connecting rod (133), oil sealing (134), buffer stopper (135), piston valve (136) and bottom valve (137); Connecting rod (133) is fixed on top plate (2), and connecting rod (133) end is equipped with buffer stopper (135) and piston valve (136), buffer stopper (135) and on piston valve (136) several through-holes, buffer stopper (135) and piston valve (136) are had and outer sleeve (131) cooperate It installs, is equipped with oil sealing (134) at the top of outer sleeve (131), bottom is equipped with bottom valve (137), is equipped on the outside of connecting rod (133) High strong spring (132), high strong spring (132) one end are fixed on top plate, and the other end is connected at the top of outer sleeve (131);Housing Cylinder (131) lower end quality of connection block (14), mass block (14) drive outer sleeve (131) to move up and down along connecting rod;
Sensor is installed on controlled bridge;For detecting the exercise data of controlled bridge;
Driver (8) end is equipped with encoder, and driver (8) is coaxially connected with retarder, encoder.
2. combined type bridge Torsional Vibration Control system according to claim 1, which is characterized in that oil sealing (134) and slow It rushes in the chamber formed between block (135), buffer stopper (135) and piston valve (136), piston valve (136) and bottom valve (137) and is full of Damping fluid.
3. combined type bridge Torsional Vibration Control system according to claim 1, which is characterized in that driver (8) is gone back outside It is equipped with driver rack (15), driver rack (15) includes clamping rings and several supporting legs, and supporting leg is mounted on fixed circle On ring, clamping rings is fixed on a drive, and supporting leg is fixed on main force transmitting board (6).
4. combined type bridge Torsional Vibration Control system according to claim 1, which is characterized in that the active control list The driver (8) of member is stepper motor or servo motor.
5. combined type bridge Torsional Vibration Control system according to claim 1, which is characterized in that the speed changer (9) Usually retarder.
6. combined type bridge Torsional Vibration Control system according to claim 1, which is characterized in that the rotary inertia disk It (11) is the disk or annulus of certain mass, rotary inertia disk (11) is vertical with the bridge floor of controlled bridge, the output of driver (8) Axis is vertical with rotary inertia disk (11) to be connect.
7. combined type bridge Torsional Vibration Control system according to claim 1, which is characterized in that it further include controller, Controller respectively with driver (8), sensor and be mounted on the encoder of driver (8) end and connect.
CN201910103487.9A 2019-02-01 2019-02-01 Composite bridge torsional vibration control system Active CN109610302B (en)

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CN201910103487.9A CN109610302B (en) 2019-02-01 2019-02-01 Composite bridge torsional vibration control system
AU2019101722A AU2019101722A4 (en) 2019-02-01 2019-09-12 Hybrid control system for suppressing flutter vibration of bridge structure
PCT/CN2019/105642 WO2020155633A1 (en) 2019-02-01 2019-09-12 Combined torsional vibration control system for bridge

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WO2020155633A1 (en) * 2019-02-01 2020-08-06 青岛理工大学 Combined torsional vibration control system for bridge
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