CN108035237A - The wing plate system and its control method that a kind of suppression Bridge Flutter and whirlpool shake - Google Patents

The wing plate system and its control method that a kind of suppression Bridge Flutter and whirlpool shake Download PDF

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Publication number
CN108035237A
CN108035237A CN201711497974.5A CN201711497974A CN108035237A CN 108035237 A CN108035237 A CN 108035237A CN 201711497974 A CN201711497974 A CN 201711497974A CN 108035237 A CN108035237 A CN 108035237A
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wing plate
girder segment
wind speed
msub
mrow
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廖海黎
刘枢
刘一枢
王骑
李明水
马存明
周强
卓凌骏
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Southwest Jiaotong University
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Southwest Jiaotong University
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    • EFIXED CONSTRUCTIONS
    • E01CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01DCONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
    • E01D2/00Bridges characterised by the cross-section of their bearing spanning structure
    • E01D2/04Bridges characterised by the cross-section of their bearing spanning structure of the box-girder type
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M9/00Aerodynamic testing; Arrangements in or on wind tunnels

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  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Architecture (AREA)
  • Civil Engineering (AREA)
  • Structural Engineering (AREA)
  • Fluid Mechanics (AREA)
  • General Physics & Mathematics (AREA)
  • Aerodynamic Tests, Hydrodynamic Tests, Wind Tunnels, And Water Tanks (AREA)

Abstract

The invention discloses the wing plate system and its control method that a kind of suppression Bridge Flutter and whirlpool shake.Including more than one girder segment, girder segment is provided with motor message acquisition module, the torsion device that both sides are respectively arranged with wing plate and control wing plate to reverse;Further include wind speed harvester and host.Motor message acquisition module, torsion device and wind speed harvester are connected respectively to host, the wind speed for vibration data and wind speed the harvester collection that host is gathered according to motor message acquisition module, control the windup-degree of the wing plate of girder segment both sides respectively by torsion device, shaken with suppressing Bridge Flutter and whirlpool.The present invention can adjust the Windward angle of wing plate in real time according to the vibration data and wind speed of bridge, bridge is rapidly separated the state for the unfavorable bridge healths such as whirlpool shakes and flutter dissipates.

Description

The wing plate system and its control method that a kind of suppression Bridge Flutter and whirlpool shake
Technical field
The present invention relates to Longspan Bridge wind resistance field, be specially it is a kind of suppress Bridge Flutter and wing plate system that whirlpool shakes and Its control method.
Background technology
Bridge Sections have developed into present streamlined box beam from initial truss form.Streamlined box beam use so that Longspan Bridge can not only reduce the horizontal load of structure and reduce later maintenance, but also can increase the torsion stiffness of structure and reduce pneumatic Power.But accompanying problem is that its flutter situation more easily produces the diverging of coupled vibrations, so needing to further investigate to press down Shake.In early days, researcher adjusts the frequency of Bridge Flutter using the tuned mass damper (TMD) for being placed on girder both sides, but It is that this measure stability is bad, inhibition of vibration does not protrude.Also have using the water tank for being built in girder to change structural focus, this Act can dramatically increase critical wind speed of flutter.Flutter vibration can effectively be suppressed using streamlined box beam form and passive measure, Studies have shown that it is only applicable to the bridge that main span across footpath is no more than 3000m.And with increasingly increased sea-crossing engineering bridge The demand of construction, suppresses the problem that flutter is a worth further investigation using active control measures.
It is as follows for the prior art of this problem:
First, separated pneumatic wing plate
2002, Liu's height ground critical wind speed of flutter for separated pneumatic wing plate active control based on older generation scholar Study carefully.The author is based on unsteady aerodynamic force theory, and the angle that damping is reversed from increase system has carried out further exploration.According to System gas kinetic equation is deduced the expression formula of the air damping provided by wing plate active twist for system, it is determined that wing plate gas Dynamic damping reaches maximum and meets condition to parameters such as torsion amplitude, phase angles, theoretically in depth analyzes each parameter Influence to air damping.Its result is also coincide substantially with the result of the test of forefathers.Gross data is given in text, it is appropriate to choose Wing plate active twist parameter can reach obvious inhibition of vibration, and inhibition of vibration is significantly better than fixed wing plate.
2nd, active tuyere wing plate
1998, active aerodynamic wing was integrated in girder both sides by Hansen and Thoft-Christensen, for improving Beautiful and vibration suppression has certain values.This article is developed from Theodorsen potential energy principles, it is assumed that side wing convection current windward Vortex through air-flow does not influence, so the aerodynamic force for deriving wing plate is its corner single order, the linear list of second dervative respectively Up to formula.
It is that active aerodynamic wing is integrated in master that 2001, Wilde, Omenzetter and Yozo Fujino, which have also been made object, The research of Liang Fengzuichu, the equation with Theodorsen for wing-empennage-web, passes through the side of Approximation by rational function Method obtains the time-domain expression of aerodynamic force, and the setting of optimal wing plate is calculated with the performance factor based on systemic characteristic scale Parameter.
In conclusion problem existing in the prior art is:
It is 1. domestic still not specifically for the control system that active tuyere wing plate suppresses Bridge Flutter, whirlpool shakes.
2. external similar device component composition is complicated and active wing plate is irremovable, can be realized only in wind tunnel test specific Experiment, input cost is high.
3. external most of active control technology many places, in theoretical Qualify Phase, there has been no verification experimental verification.
The content of the invention
The present invention provides the wing plate system and its control method that a kind of suppression Bridge Flutter and whirlpool shake, for bridge active Shake in the experiment of wind resistance segment and the actual construction of bridge to Bridge Flutter diverging, whirlpool and carry out active control.
The technical solution adopted in the present invention is:
The wing plate system that a kind of suppression Bridge Flutter and whirlpool shake, the bridge include more than one girder segment;
The girder segment is provided with motor message acquisition module, at the centre of form of girder segment, for gathering girder Vibration data of the segment under wind-induced vibration effect;
The both sides of the girder segment are respectively arranged with wing plate, and one end of wing plate is movably attached to the side of girder segment;
The girder segment is additionally provided with the torsion device for controlling the wing plate of both sides to reverse respectively;
Wind speed harvester is further included, for gathering wind direction and wind speed;
Host is further included, the motor message acquisition module, torsion device and wind speed harvester are connected respectively to host, The wind speed for vibration data and wind speed the harvester collection that host is gathered according to motor message acquisition module, passes through torsion device The windup-degree of the wing plate of girder segment both sides is controlled respectively.
Further, the torsion device is arranged on the inside of girder segment.
Further, the torsion device includes electric machine controller and motor;The output shaft of motor is connected to the first transmission One end of bar, the other end of the first drive link are connected to one end of the 3rd drive link by the second drive link, the 3rd drive link The other end is connected to wing plate.
Further, the junction of the wing plate and girder segment is additionally provided with the cover board of transitional flow, one end of cover board The side of girder segment is movably attached to, the other end has an extension;The surface of wing plate is equipped with sliding slot, the extension of cover board It is placed in sliding slot and slides.Further, the cover board is two, is separately positioned on the upper and lower both sides of the wing plate.
Further, the motor message acquisition module includes gyroscope and acceleration transducer.
Further, the length of the girder segment is 8 meters~10 meters.
Further, the ratio between chord length of the box beam width of the girder segment and wing plate is 12: 1.
The control method that above-mentioned wing plate system suppresses flutter is:Host gathers mould according to the motor message of the girder segment The vibration data of block collection and the wind speed of wind speed harvester collection, after identifying flutter, institute is controlled by torsion device respectively The wing plate i for stating girder segment both sides is reversed, windup-degree fi(t):
Wherein,
I=1 represents the wing plate of girder segment side, and i=2 represents the wing plate of girder segment opposite side, the initial bit of wing plate i Put parallel with girder segment;
A represents the chain of command amplification coefficient of wing plate;
w1Represent twisting vibration parameter weight;
w2Represent vertical motion parameter weight;
θiRepresent the delayed phase of wing plate i relative twisting movements;
H represents the characteristic width of girder segment;
α represents the corner of twist motion;
H represents the amplitude of vertical motion;
ω represents the angular frequency of sinusoidal motion;
T represents the time;
φ0Represent the time-histories phase of twist motion;
Δ φ represents the phase difference of vertical motion time-histories and twist motion time-histories.
Above-mentioned wing plate system suppresses the control method that whirlpool shakes:Host gathers mould according to the motor message of the girder segment The vibration data of block collection and the wind speed of wind speed harvester collection, after identification whirlpool shakes, institute is controlled by torsion device respectively The wing plate for stating girder segment both sides reverses, and changes whirlpool and shakes wind speed interval.
The beneficial effects of the invention are as follows:Wing plate can be adjusted in real time according to the vibration data and wind speed of bridge main beam segment Angle, makes bridge be rapidly separated the state for the unfavorable bridge healths such as whirlpool shakes and flutter dissipates;It can guarantee that wing plate in adjustment angle During air-flow can be smoothly transitioned from from wing plate;Also provided at the same time for the control law research that wind tunnel test and active pneumatic control Test platform.
Brief description of the drawings
Fig. 1 is the partial structurtes schematic perspective view that wing plate is connected with girder segment;
Fig. 2 is the partial structurtes side view that wing plate is connected with girder segment;
Fig. 3 is wing plate and the connection side view of girder segment;
Fig. 4 is torsion device structure diagram;
Fig. 5 is the signal for the motor that wing plate, motor message acquisition module and torsion device are set in multiple girder segments Figure;
Fig. 6 is the schematic diagram that wing plate system is specifically applied to bridge;
Fig. 7 is the model schematic that girder segmentation movement signal is measured in laboratory.
In figure respectively marked as:1- girders segment, 2- wing plates, 3- cover boards, 4- sliding slots, 5- motors, the first drive links of 6-, 7- Two drive links, the 3rd drive links of 8-, 9- motor message acquisition modules, the left laser displacement gauges of 10-, the right laser displacement gauges of 11-.
Embodiment
The embodiment of the present invention is described further below in conjunction with the accompanying drawings.
Bridge includes more than one girder segment 1, and the both sides of each girder segment 1 are respectively equipped with a wing plate 2, wing plate 2 Tail end be movably attached to the edge of girder segment 1, can be done according to the Vibration Condition of girder segment 1 by torsion device controllable Feed back twist motion.Torsion device includes motor 5, and motor 5 is installed on adjustable motor stent, can be according to the position need of wing plate 2 Ask the position of regulation motor 5.Motor 5 is used for the twist motion for driving wing plate 2.The output shaft of motor 5 is fixedly attached to the first biography One end of lever 6, the other end of the first drive link 6 are hinged to one end of the 3rd drive link 8 by the second drive link 7, and the 3rd passes The other end of lever 8 is fixedly attached to the afterbody of wing plate 2.Motor 5 and drive link are arranged in the box beam cavity of girder segment 1 Portion, to avoid the aerodynamic configuration of box beam is influenced.
A cover board for being close to wing plate 23 is respectively equipped with above and below wing plate 2, one end of cover board 3 is movably attached to master The edge of girder segment 1, the other end have an extension.The edge of wing plate 2 is equipped with sliding slot 4, and the extension of cover board 3 is placed in sliding slot It can slide in 4 and in sliding slot 4, there is larger gap in the junction to avoid wing plate 2 and girder segment 1, ensures the gas of junction Stream can seamlessly transit wing plate 2, to avoid larger impact force is produced.
Motor message of the girder segment 1 under wind-induced vibration effect is obtained by motor message acquisition module 9, is put by signal Vertical and twist motion feature greatly with obtaining vibration after filtering process.Motor message acquisition module 9 is arranged on the shape of girder segment 1 At the heart, including the component such as gyroscope and acceleration transducer, for gathering the vibration data of this section of girder segment 1, which will It is used for host fusion calculation in real time and feed back motion control signal is to motor 5.It is special according to the vertical and twist motion of girder segment 1 Sign, host is identified by systematic parameter and optimal control algorithm output control signal is to electric machine controller, by electric machine controller Feed back motion when driving motor 5 is put into effect;Moved by the controlled feedback of wing plate 2 to change what wind acted on girder segment 1 in real time Aerodynamic force, can make girder segment 1 be rapidly separated the unfavorable bridge healths such as whirlpool shakes and flutter dissipates and the state for jeopardizing bridge security.
The length of girder segment 1 is 8~10m, and wing plate 2 selects NACA0012 symmetrical airfoils, and the chord length of wing plate 2 is usually with case Beam width: chord length=12: 1 ratio is chosen, to reach effective control efficiency.Wing plate 2 mainly by two carbon fiber pipes and Glass-reinforced plastic material composite material is made, its construction weight can be neglected relative to the dead weight of bridge.
The control method that above-mentioned wing plate system suppresses flutter is:Host gathers mould according to the motor message of the girder segment The vibration data of block collection and the wind speed of wind speed harvester collection, after identifying flutter, institute is controlled by torsion device respectively The wing plate i for stating girder segment both sides is reversed, windup-degree fi(t):
Wherein,
I=1 represents the wing plate of girder segment side, and i=2 represents the wing plate of girder segment opposite side, the initial bit of wing plate i Put parallel with girder segment;
A represents the chain of command amplification coefficient of wing plate;
w1Represent twisting vibration parameter weight;
w2Represent vertical motion parameter weight;
θiRepresent the delayed phase of wing plate i relative twisting movements;
H represents the characteristic width of girder segment;
α represents the corner of twist motion;
H represents the amplitude of vertical motion;
ω represents the angular frequency of sinusoidal motion;
T represents the time;
φ0Represent the time-histories phase of twist motion;
Δ φ represents the phase difference of vertical motion time-histories and twist motion time-histories.
In the above method, the windup-degree f of wing plate ii(t) parameter θ iniFor sensitive control parameter, because of bridge subsection shape It is different and different.θiThe acquisition of parameter needs to carry out seeking participating in the experiment and testing for girder segment shape in the lab, in 0 ° of -360 ° of phase In the range of find θiOptimization section, make the windup-degree f of wing plate ii(t) in parameter θiOptimization section in movement.It is completed bridge Beam is also needed to according to actual vibration signal data to carrying out parameter θ after the Kinematic of real bridgeiFurther optimization with Reach the effect of self adaptive control.
In the above method, identification flutter can use following methods:Wind speed reaches or close to critical wind speed of flutter Ucr, and amplitude In flutter divergent state initial stage.
Above-mentioned wing plate system suppresses the control method that whirlpool shakes:Host gathers mould according to the motor message of the girder segment The vibration data of block collection and the wind speed of wind speed harvester collection, after identification whirlpool shakes, institute is controlled by torsion device respectively The wing plate for stating girder segment both sides reverses, and changes whirlpool and shakes wind speed interval.
In the above method, identification whirlpool shakes and can use following methods:Wind speed reaches shake wind speed interval (U), vibration frequency of whirlpool and connects Nearly girder segment natural frequency of vibration fsAnd amplitude is less than the peak swing y of girder segment vertical motionmax
In actual use, suppress wing plates on two sides when whirlpool shakes and reverse 30 ° downwards from the initial position parallel with girder segment, Change Si Tuolaha numbers by varying construction profile and change whirlpool to reach and shake the effect of wind speed interval;After wind speed reacceess control Whirlpool shake wind speed interval when, it is only necessary to wing plate is recalled into original state.
The principle that the suppression flutter of wing plate system and whirlpool shake is as follows:
In the lab, by the motor message of laser displacement gauge collection girder segment, (motor message includes vertical sinusoidal Movement h (t) and torsion sinusoidal motion α (t)) and draw vertical sinusoidal motion h (t) by decoupling formula and reverse sinusoidal motion The value of α (t).Premised on thin tail sheep assumes, the zitterbewegung of girder segment is using the certain point of girder center line as in movement The vertical sinusoidal motion of the heart and the superposition for reversing sinusoidal motion, the mathematics that girder segment is established using this centre of motion as origin move Model.Left laser displacement gauge 10 and right laser displacement gauge 11 are separately installed with left and right sides of corresponding girder segment center line, it is left Air line distance between laser displacement gauge 10 and right laser displacement gauge 11 is L.The exercise duration that left laser displacement gauge 10 collects Function is f1(t), the exercise duration function that right laser displacement gauge 11 collects is f2(t), f1(t) and f2(t) sine can be fitted to FunctionWithWherein A1And A2For the amplitude fitted, ω is sine The angular frequency of movement, t are the time,WithFor the phase angle fitted.The exercise duration letter that two laser displacement gauges collect Number f1(t) and f2(t) it can be used for the actual motion time-histories for calculating girder segment, i.e., vertical sinusoidal motion h (t) and torsion Sinusoidal motion α (t).Likewise, it is considered that vertical sinusoidal motion and the time-histories for reversing sinusoidal motion are sinusoidal letter Number, i.e., For the convenience of modeling of control system, it is believed thatThen formula is changed into
The signal collected by left laser displacement gauge 10 and right laser displacement gauge 11 calculates vertical sinusoidal motion h (t) and turns round The formula for turning sinusoidal motion α (t) is:
Wherein, L1Represent the distance of left laser displacement gauge 10 and the centre of motion,
L2Represent the distance of right laser displacement gauge 11 and the centre of motion,
α represents the corner of torsion sinusoidal motion,
H represents the amplitude of vertical sinusoidal motion,
Represent the time-histories phase of torsion sinusoidal motion,
Represent vertical sinusoidal motion time-histories with reversing the phase difference of sinusoidal motion time-histories.
Due to thin tail sheep it is assumed that according to the mathematics motion model of above-mentioned foundation, the center of girder segment is chosen as in movement The heart, at this timeSimplified Motion Equation is:
The signal of two laser displacement gauge collections is used to lead by the vertical twist motion signal formed after filtering and decoupling Machine controller carries out analytic operation and feeds back to actuator drive control wing plate and make corresponding rotating angle movement.Its corner control rule Restrain and be:
Wherein,
A is the chain of command amplification coefficient of wing plate,
w1For twisting vibration parameter weight,
w2For vertical sinusoidal motion parameter weight,
θ is the delayed phase of relative torsion sinusoidal motion,
H is the characteristic width of main girder segment.
A, w in above-mentioned parameter1、w2It is related with the stability and control effect of wing plate system with θ.Need to be tried according to wind-tunnel Test to determine the optimal value of this four parameters, to achieve the purpose that vibration suppression.It is θ to need most under normal conditions and carry out experimental test. Meanwhile w1Weight should be greater than w2
In actual conditions, the motor message of girder segment 1 is directly measured by signal acquisition module 9, without being decoupled again Computing.Its control law then byTried according to wind-tunnel The Optimal Parameters for testing gained are set.

Claims (10)

1. the wing plate system that a kind of suppression Bridge Flutter and whirlpool shake, the bridge include more than one girder segment (1),
It is characterized in that:
The girder segment (1) is provided with motor message acquisition module, at the centre of form of girder segment (1), for gathering master Vibration data of the girder segment (1) under wind-induced vibration effect;
The both sides of the girder segment (1) are respectively arranged with wing plate (2), and one end of wing plate (2) is movably attached to girder segment (1) Side;
The girder segment (1) is additionally provided with the torsion device for controlling the wing plate (2) of both sides to reverse respectively;
Wind speed harvester is further included, for gathering wind direction and wind speed;
Host is further included, the motor message acquisition module, torsion device and wind speed harvester are connected respectively to host, host The wind speed that the vibration data and wind speed harvester gathered according to motor message acquisition module (9) gathers, passes through torsion device The windup-degree of the wing plate (2) of girder segment both sides is controlled respectively.
2. wing plate system according to claim 1, it is characterised in that:The torsion device is arranged on girder segment (1) It is internal.
3. wing plate system according to claim 1, it is characterised in that:The torsion device includes electric machine controller and motor (5);The output shaft of motor (5) is connected to one end of the first drive link (6), and the other end of the first drive link (6) is passed by second Lever (7) is connected to one end of the 3rd drive link (8), and the other end of the 3rd drive link (8) is connected to wing plate (2).
4. wing plate system according to claim 1, it is characterised in that:The wing plate (2) and the junction of girder segment (1) The cover board (3) of transitional flow is additionally provided with, one end of cover board (3) is movably attached to the side of girder segment (1), and the other end has One extension;The surface of wing plate (2) is equipped with sliding slot (4), and the extension of cover board (3), which is placed in sliding slot (4), to be slided.
5. wing plate system according to claim 4, it is characterised in that:The cover board (3) is two, is separately positioned on described The upper and lower both sides of wing plate (2).
6. wing plate system according to claim 1, it is characterised in that:The motor message acquisition module (9) includes gyro Instrument and acceleration transducer.
7. wing plate system according to claim 1, it is characterised in that:The length of the girder segment (1) is 8 meters~10 Rice.
8. wing plate system according to claim 1, it is characterised in that:The box beam width and wing plate of the girder segment (1) (2) the ratio between chord length is 12: 1.
9. wing plate system according to claim 1 suppresses the control method of flutter, it is characterised in that:Host is according to the master The vibration data of the motor message acquisition module collection of girder segment and the wind speed of wind speed harvester collection, after identifying flutter, The wing plate i of girder segment both sides is controlled to reverse respectively by torsion device, windup-degree fi(t):
<mrow> <msub> <mi>f</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>A</mi> <mo>&amp;CenterDot;</mo> <mrow> <mo>(</mo> <msub> <mi>w</mi> <mn>1</mn> </msub> <mo>&amp;CenterDot;</mo> <mi>&amp;alpha;</mi> <mo>&amp;CenterDot;</mo> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mo>(</mo> <mrow> <mi>&amp;omega;</mi> <mi>t</mi> <mo>+</mo> <msub> <mi>&amp;beta;</mi> <mn>0</mn> </msub> <mo>+</mo> <msub> <mi>&amp;theta;</mi> <mi>i</mi> </msub> </mrow> <mo>)</mo> <mo>+</mo> <msub> <mi>w</mi> <mn>2</mn> </msub> <mo>&amp;CenterDot;</mo> <mfrac> <mi>h</mi> <mi>H</mi> </mfrac> <mo>&amp;CenterDot;</mo> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mo>(</mo> <mrow> <mi>&amp;omega;</mi> <mi>t</mi> <mo>+</mo> <msub> <mi>&amp;phi;</mi> <mn>0</mn> </msub> <mo>+</mo> <mi>&amp;Delta;</mi> <mi>&amp;phi;</mi> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mo>,</mo> </mrow>
Wherein,
I=1 represents the wing plate of girder segment side, and i=2 represents the wing plate of girder segment opposite side, the initial position of wing plate i with Girder segment is parallel;
A represents the chain of command amplification coefficient of wing plate;
w1Represent twisting vibration parameter weight;
w2Represent vertical motion parameter weight;
θiRepresent the delayed phase of wing plate i relative twisting movements;
H represents the characteristic width of girder segment;
α represents the corner of twist motion;
H represents the amplitude of vertical motion;
ω represents the angular frequency of sinusoidal motion;
T represents the time;
φ0Represent the time-histories phase of twist motion;
Δ φ represents the phase difference of vertical motion time-histories and twist motion time-histories.
10. wing plate system according to claim 1 suppresses the control method that whirlpool shakes, it is characterised in that:Host is according to The vibration data of the motor message acquisition module collection of girder segment and the wind speed of wind speed harvester collection, identification whirlpool shake Afterwards, control the wing plate of girder segment both sides to reverse respectively by torsion device, change whirlpool and shake wind speed interval.
CN201711497974.5A 2017-12-31 2017-12-31 The wing plate system and its control method that a kind of suppression Bridge Flutter and whirlpool shake Pending CN108035237A (en)

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CN108643019A (en) * 2018-06-22 2018-10-12 同济大学 A kind of Bridge Flutter and whirlpool shake integrated control unit and its control method
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CN108978441A (en) * 2018-07-02 2018-12-11 湖南大学 The semi-active control method and system of a kind of floating system stiffening girder of suspension bridge whirlpool vibration
CN109018275A (en) * 2018-08-17 2018-12-18 南京理工大学 A kind of submarine navigation device whirlpool Induced Oscillation Adaptive Suppression device
CN110512863A (en) * 2019-08-26 2019-11-29 中国十七冶集团有限公司 A kind of high-building construction steel platform wind resistance vibrating system based on flowing control
CN111441234A (en) * 2020-03-27 2020-07-24 中南大学 Deformable air nozzle for inhibiting wind-induced vibration of bridge
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