CN210886901U - Four-line pendulum type tuned mass damper for vibration reduction of long suspender of long-span bridge - Google Patents
Four-line pendulum type tuned mass damper for vibration reduction of long suspender of long-span bridge Download PDFInfo
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- CN210886901U CN210886901U CN201921585319.XU CN201921585319U CN210886901U CN 210886901 U CN210886901 U CN 210886901U CN 201921585319 U CN201921585319 U CN 201921585319U CN 210886901 U CN210886901 U CN 210886901U
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Abstract
The utility model discloses a harmonious mass damper of four-wire pendulum formula of long jib damping of bridge of striding greatly belongs to bridge structures vibration control technical field. The damper is installed on the suspension rod to be controlled, the installation position and the number of the damper are usually one in the middle point of the suspension rod, but the number of the damper is not limited to the middle point, and the damper is designed according to the requirement of the vibration reduction effect. The damper comprises a support and a thin-wall annular damper counterweight suspended below four cantilevers of the damper support through four cycloids. The swinging of the damper feeds back a control force opposite to the vibration direction of the suspension rod to the suspension rod, and the damper dissipates energy through a universal rotating spherical hinge at the joint of the cycloid and the support or/and an air damper between the suspension rod and the balance weight. The damper has an obvious control effect on the displacement and speed response of the suspender, has a simple structural form and low manufacturing, mounting and maintaining cost, and has positive significance for guaranteeing the bridge and driving safety, prolonging the service life of the suspender and the like.
Description
Technical Field
The utility model belongs to the technical field of engineering structure vibration control, specifically be based on harmonious mass damper's structure passive control field, specific application is the vibration control who realizes striding suspension bridge or arch bridge length hanger rod greatly.
Background
In recent years, large-span bridges are continuously built in China. The bridge spans across rivers, lakes and seas, plays an important role in a traffic network, is an essential junction in the traffic network, and brings convenience for people to go out. The long-span bridge has the characteristics of high construction cost, long service time, harsh service environment and the like, and the design, construction and maintenance of the long-span bridge are real-time and do not face huge technical problems and challenges. The suspension rod is used as a main force transmission component in a suspension bridge and an arch bridge, has the characteristics of long length, high flexibility and high stress state for a long time, and is one of the weakest and easily damaged components. The service condition of the suspender is particularly important in the whole service process of the suspension bridge and the arch bridge. The hanger rod is easy to cause fatigue damage under long-term reciprocating vibration, thereby reducing the service life of the hanger rod. In extreme weather, the hanger rod may also vibrate to a large extent, which threatens bridge structures and traffic safety. Therefore, effective vibration reduction measures are required to control the vibration of the suspender, and the service life of the suspender is prolonged.
The utility model provides a harmonious mass damper of four-wire pendulum formula of long jib damping of bridge is striden greatly, it is the passive controlling means of structure, through the tuned frequency of the spring rate between the quality that the mass and the jib that the change suspended in midair the mass, utilizes universal rotation ball hank and air damper etc. to dissipate the energy to play the suppression and treat the effect of accuse jib horizontal vibration. The pendulum tuned mass damper has the advantages of simple structural form, low cost, easy design tuning and the like. In the actual engineering, the harmonious mass damper of pendulum-type is used for among the vibration control of high-rise building more, the utility model discloses introduce bridge construction with it and be used for the jib damping. The utility model provides a harmonious mass damper of four-wire pendulum-type has to show the suppression to the dynamic response of jib, can play positive control effect to the vibration of jib.
SUMMERY OF THE UTILITY MODEL
The utility model provides a harmonious mass damper of four-wire pendulum formula of long jib damping of bridge is striden greatly, this attenuator device can reduce the horizontal dynamic response of bridge jib under various excitation, suppresses the horizontal vibration of jib.
The technical scheme of the utility model:
a four-line pendulum type tuned mass damper for vibration reduction of a long suspender of a long-span bridge comprises a damper support 2, a universal rotating ball hinge 3, a cycloid 4 and a thin-wall annular damper counterweight 5, wherein the damper support is used for supporting a damper support of the bridge suspender 1; when the damper support is used for the in-service bridge hanger rod 1, the damper support 2 is formed by splicing two identical split bodies to form a cantilever with a ring structure in the middle and a cross-shaped outer part, a bolt hole 6 is formed in the cantilever, and after an anti-skid gasket is added to the inner side of a ring of the cantilever, the cantilever is fixed to the mounting position of the bridge hanger rod 1 through the bolt hole 6 by using a bolt; the thin-wall annular damper counterweight 5 is formed by splicing two identical semicircular annular split bodies through bolts 7 by using bolts; the spliced whole comprises four cantilevers for suspending a thin-wall annular damper counterweight 5 and a damper support 2; the upper part of the universal rotating ball hinge 3 is connected with the cantilever end part of the damper bracket 2 into a whole, and the lower part of the universal rotating ball hinge is connected with the upper end of the cycloid 4 into a whole; the universal rotary ball hinge 3 can rotate in any direction in the swinging process of the four-line swinging type tuned mass damper, provides damping in the swinging process of the damper, and can adjust the damping and be related to the friction force between the steel ball and the ball hinge wall; damping can be provided by arranging an air damper between the thin-wall annular damper balance weight 5 and the bridge suspender 1, and various damping providing modes are designed and coexist to improve the damping effect according to the damping requirement; the lower end of the cycloid 4 is hinged with the thin-wall annular damper counterweight 5, and the cycloid 4 can generate a relative rotation angle with the thin-wall annular damper counterweight 5 in the swinging process; the size of the thin-wall annular damper balance weight 5 is designed and determined according to basic parameters of the bridge suspender 1 to be controlled, and the thin-wall annular damper balance weight 5 is ensured not to collide with the bridge suspender 1 in the swinging process; the four-line pendulum type tuned mass damper is arranged at least at the midpoint of the bridge suspender 1, and whether the damper is arranged at other positions or not and the installation quantity are determined according to the dynamic characteristic and the damping requirement of the bridge suspender 1 to be controlled.
A design method of a four-line pendulum tuned mass damper for vibration reduction of a long suspender of a long-span bridge comprises the following steps:
step one, obtaining basic parameters of a bridge suspender 1 to be controlled through field survey or browsing design parameters: the hanger rod comprises the outer diameter of a sheath and the natural vibration frequency of the hanger rod;
determining basic design parameters of the four-line pendulum tuned mass damper to be designed:
(1) the mass ratio of the thin-wall annular damper balance weight 5 to the bridge suspender 1 is 1% -5%, the larger the mass ratio in the range is, the better the vibration reduction effect is, and the vibration reduction effect is determined according to the vibration reduction requirement of the bridge suspender 1 to be actually controlled;
(2) optimal frequency ratio and optimal damping ratio: the damping ratio is obtained through an empirical formula of the optimal frequency ratio and the optimal damping ratio;
(3) design fundamental frequency of the damper: multiplying the fundamental frequency of the bridge suspender 1 by the optimal frequency ratio; after the design fundamental frequency of the damper is determined, calculating the pendulum length and obtaining the pendulum length by a simple pendulum period formula; calculating the sum of the length of the pendulum line 4 and half of the height of the thin-wall annular damper counterweight 5; the height of the thin-wall annular damper counterweight 5 after the mass is determined to influence the inner diameter and the outer diameter of the thin-wall annular damper counterweight 5, the appearance of the thin-wall annular damper counterweight 5 is influenced by overlarge outer diameter, and the thin-wall annular damper counterweight 5 collides with a bridge suspender 1 during movement easily due to undersized inner diameter, so that a smaller value is obtained between 0.5 and 5 on the premise that the ratio of the length of the cycloid 4 to the height of the thin-wall annular damper counterweight 5 meets the requirements of appearance and no collision of the suspender simultaneously, and a better vibration damping effect; so far, the length of the cycloid 4 and the height of the thin-wall annular damper counterweight 5 are obtained;
(4) thickness and inner diameter of thin-wall annular damper weight 5: firstly, determining the inner diameter to ensure that the thin-wall annular damper balance weight 5 does not collide with the bridge suspender 1 and avoid influence on the bridge appearance caused by overlarge inner diameter; after the inner diameter and the height of the thin-wall annular damper counterweight 5 are determined, the thickness of the annular thin wall of the thin-wall annular damper counterweight 5 is determined by the mass of the thin-wall annular damper counterweight 5;
step three, machining a four-line pendulum type tuned mass damper according to the size of the thin-wall type annular damper balance weight 5 obtained in the step two and the length of the cycloid 4;
fourthly, mounting the machined four-line pendulum tuned mass damper on a vertical rod with the same outer diameter as the bridge suspender 1 in a laboratory, freely swinging the rod, measuring a displacement signal of the rod, measuring the damping ratio of the rod by using a free vibration attenuation method, and adjusting the damping ratio by adjusting the friction force in the universal rotary spherical hinge 3 or setting other damping modes to enable the damping ratio to reach or approach the optimal damping ratio;
and fifthly, connecting and fixing the four-line pendulum type tuned mass damper at the mounting position of the bridge suspension rod 1 to be controlled through the damper support 2.
The utility model has the advantages that: the four-line pendulum tuned mass damper is arranged on the long suspender of the long span bridge, so that the displacement response and the speed response of the suspender can be effectively reduced, the driving comfort and the safety of the bridge are improved, meanwhile, the fatigue damage of the suspender is reduced, and the service life of the suspender is effectively prolonged; the utility model has the advantages of simple structure, convenient installation, low cost, easy tuning, easy maintenance and the like.
Drawings
Fig. 1 is a schematic diagram of a four-line pendulum tuned mass damper of a long-span bridge boom of the utility model.
Figure 2 is a schematic view of one of the two sections of the damper bracket.
Fig. 3 is a schematic view of a universal swivel ball joint.
FIG. 4 is a numerical simulation result of a displacement time course curve with or without a four-wire pendulum tuned mass damper at a midpoint of a certain boom under excitation of the same band-limited white noise; FIG. 4a is a numerical simulation of the midpoint displacement time-course curve of the boom without a tuned mass damper of the four-wire pendulum type; figure 4b is a numerical simulation of the boom midpoint displacement time course curve with a tuned mass damper of the four-wire pendulum type.
FIG. 5 is a numerical simulation result of a velocity time course curve with or without a tuned mass damper of a pendulum-type with a four-wire at a midpoint of a certain boom under excitation of the same band-limited white noise; FIG. 5a is a numerical simulation of a mid-point velocity time course curve for the boom without a tuned mass damper of the pendulum-type; figure 5b is a numerical simulation of the boom midpoint velocity time course curve with a tuned mass damper of the four-wire pendulum type.
In the figure: 1, a bridge suspender; 2a damper bracket; 3, universal rotation ball hinge; 4, cycloid; 5 thin-wall annular damper counterweight mass block; 6 bolt holes.
Detailed Description
The following further describes a specific embodiment of the present invention with reference to the drawings and technical solutions.
As shown in fig. 1, the four-line pendulum type tuned mass damper for vibration reduction of the long suspender of the long span bridge comprises a damper support 2, a universal rotating ball-hinge 3, a cycloid 4 and a thin-wall annular damper counterweight 5; when the damper support is used for the in-service bridge hanger rod 1, the damper support 2 (shown in figure 2) is formed by splicing two identical split bodies to form a cantilever with a ring structure in the middle and a cross-shaped outer part, a bolt hole 6 is formed in the cantilever, and after an anti-skid gasket is added to the inner side of the ring of the cantilever, the cantilever is fixed at the installation position of the bridge hanger rod 1 through the bolt hole 6 by using a bolt; the thin-wall annular damper counterweight 5 is formed by splicing two identical semicircular annular split bodies through bolts 7 by using bolts; the spliced whole comprises four cantilevers for suspending a thin-wall annular damper counterweight 5 and a damper support 2; the upper part of the universal rotating ball hinge 3 shown in figure 3 is connected with the cantilever end part of the damper bracket 2 into a whole, and the lower part of the universal rotating ball hinge is connected with the upper end of the cycloid 4 into a whole; the universal rotary ball hinge 3 can rotate in any direction in the swinging process of the four-line swinging type tuned mass damper, provides damping in the swinging process of the damper, and can adjust the damping and be related to the friction force between the steel ball and the ball hinge wall; damping can be provided by arranging an air damper between the thin-wall annular damper balance weight 5 and the bridge suspender 1, and various damping providing modes are designed and coexist to improve the damping effect according to the damping requirement; the lower end of the cycloid 4 is hinged with the thin-wall annular damper counterweight 5, and the cycloid 4 can generate a relative rotation angle with the thin-wall annular damper counterweight 5 in the swinging process; the size of the thin-wall annular damper balance weight 5 is designed and determined according to basic parameters of the bridge suspender 1 to be controlled, and the thin-wall annular damper balance weight 5 is ensured not to collide with the bridge suspender 1 in the swinging process; the four-line pendulum type tuned mass damper is arranged at least at the midpoint of the bridge suspender 1, and whether the damper is arranged at other positions or not and the installation quantity are determined according to the dynamic characteristic and the damping requirement of the bridge suspender 1 to be controlled.
Use a jib of a certain suspension bridge as an example, right the utility model discloses a attenuator dimensional parameter design method carries out the detailed description with the installation to combine numerical simulation result to explain the utility model is used for the effect of jib damping.
The effective calculation length of a certain suspension bridge suspension rod is 61.289m, the mass of the suspension rod is 1483.182Kg, and the first-order natural vibration frequency of the suspension rod is 1.499Hz through finite element modeling and analysis. According to the utility model provides a step is designed the size of harmonious mass damper of four-wire pendulum-type, and the mass ratio of annular damper counter weight and the jib that awaits controlling sets up to 3%, and its quality is 44.495Kg, obtains its optimal frequency ratio according to attenuator optimal frequency ratio and optimal damping ratio empirical formula and is 0.964, and optimal damping ratio is 0.086; thus, the frequency of the pendulum damper is set to 1.445 Hz;
the formula 1 is a formula of the swinging frequency of the four-line swinging type tuned mass damper, the formula 2 is a differential equation of the movement of the four-line swinging type tuned mass damper, and the height 2a and the cycloid length l of the counterweight of the four-line swinging type thin-wall annular damper are obtained by solving the formula 10：
Wherein f ispThe frequency Hz of the four-line pendulum swing; g is the acceleration of gravity; a is half of the counterweight height of the thin-wall annular damper; l0Is the cycloid length; theta, theta,
The four-line pendulum angle, the angular velocity of the pendulum angle and the angular acceleration of the pendulum angle are respectively; zeta is the damping ratio of the four-line pendulum tuned mass damper; omega is the circular frequency of the four-line pendulum;
the acceleration of the position of the damper attached to the boom. Through calculation, the parameters of the four-line pendulum tuned mass damper are as follows: the height 2a of the annular damper counterweight is 0.108m, the thickness of the thin wall is 0.045m, the outer diameter is 0.415m, and the cycloid length is 0.065 m.
In order to test the vibration attenuation effect of the damper, firstly, a finite element model of the suspender to be controlled is established, and dynamic responses before and after the damper is installed on the four-line pendulum type tuned mass damper are respectively obtained by using a transient analysis method, wherein the dynamic response results of displacement and speed before and after the damper is installed at the midpoint position of the suspender are respectively shown in fig. 4 and fig. 5. It can be seen from the figure that the displacement and velocity response of the boom midpoint position is significantly reduced.
Table 1 is the comparison of the dynamic response of a certain boom midpoint when there is a tuned mass damper of the four-wire pendulum type under the same band-limited white noise excitation, and the result of table 1 is the mean of the dynamic response under the excitation of the multiple groups of random white noise, as can be seen from table 1, after installing the utility model damper in this example: the displacement peak value of the middle point of the suspender is reduced by 38.48 percent compared with that before the damper is installed, and the displacement variance is reduced by 67.74 percent compared with that before the damper is installed; the velocity peak was reduced by 21.81% compared to before the damper was installed and the velocity variance was reduced by 43.28% compared to before the damper was installed. It can be seen that under the same band-limited white noise excitation, utility model's harmonious mass damper of four-wire pendulum formula can reduce the displacement and the speed vibration response of jib by a wide margin, has positive control effect to the jib vibration.
TABLE 1 comparison of midpoint response of a boom with and without a tuned mass damper of the four-wire pendulum type
Claims (1)
1. A four-line pendulum type tuned mass damper for vibration reduction of a long suspender of a long-span bridge is characterized in that the four-line pendulum type tuned mass damper for vibration reduction of a bridge suspender (1) comprises a damper support (2), a universal rotating ball hinge (3), a cycloid (4) and a thin-wall annular damper counterweight (5); when the damper support is used for the in-service bridge hanger rod (1), the damper support (2) is formed by splicing two identical split bodies to form a cantilever with a ring structure in the middle and a cross-shaped outer part, a bolt hole (6) is formed in the cantilever, and after an anti-skid gasket is added to the inner side of a ring of the cantilever, the cantilever is fixed to the mounting position of the bridge hanger rod (1) through the bolt hole (6) by a bolt; the thin-wall annular damper counterweight (5) is formed by splicing two identical semicircular annular split bodies through bolts (7) by using bolts; the spliced whole comprises four cantilevers for suspending a thin-wall annular damper counterweight (5) and a damper support (2); the upper part of the universal rotating ball hinge (3) is connected with the cantilever end part of the damper bracket (2) into a whole, and the lower part of the universal rotating ball hinge is connected with the upper end of the cycloid (4) into a whole; the universal rotating ball hinge (3) can rotate in any direction in the swinging process of the four-wire swinging type tuned mass damper, provides damping in the swinging process of the damper, and can adjust the damping and is related to the friction force between the steel ball and the ball hinge wall; damping can be provided by arranging an air damper between the thin-wall annular damper balance weight (5) and the bridge suspender (1), and various damping providing modes are designed and coexist to improve the damping effect according to the damping requirement; the lower end of the cycloid (4) is hinged with the thin-wall annular damper counterweight (5), and the cycloid (4) can generate a relative rotation angle with the thin-wall annular damper counterweight (5) in the swinging process; the size of the thin-wall annular damper balance weight (5) is designed and determined according to basic parameters of a bridge suspender (1) to be controlled, and the thin-wall annular damper balance weight (5) is ensured not to collide with the bridge suspender (1) in the swinging process; the four-line pendulum tuned mass damper is installed at the midpoint of the bridge suspender (1), and whether other positions are installed or not and the installation quantity are determined according to the dynamic characteristic and the vibration reduction requirement of the bridge suspender (1) to be controlled.
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| Application Number | Priority Date | Filing Date | Title |
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| CN201921585319.XU CN210886901U (en) | 2019-09-23 | 2019-09-23 | Four-line pendulum type tuned mass damper for vibration reduction of long suspender of long-span bridge |
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| CN201921585319.XU CN210886901U (en) | 2019-09-23 | 2019-09-23 | Four-line pendulum type tuned mass damper for vibration reduction of long suspender of long-span bridge |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110528381A (en) * | 2019-09-23 | 2019-12-03 | 大连理工大学 | The four string pendulum formula tuned mass dampers and design method of long span bridge beam length sunpender vibration damping |
| CN115030016A (en) * | 2022-06-23 | 2022-09-09 | 河海大学 | Double-tuned mass damper for vibration reduction of suspension cable of suspension bridge |
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2019
- 2019-09-23 CN CN201921585319.XU patent/CN210886901U/en active Active
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110528381A (en) * | 2019-09-23 | 2019-12-03 | 大连理工大学 | The four string pendulum formula tuned mass dampers and design method of long span bridge beam length sunpender vibration damping |
| CN115030016A (en) * | 2022-06-23 | 2022-09-09 | 河海大学 | Double-tuned mass damper for vibration reduction of suspension cable of suspension bridge |
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