CN112227180B - Stay cable combined vibration reduction device and method - Google Patents
Stay cable combined vibration reduction device and method Download PDFInfo
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- CN112227180B CN112227180B CN202011065966.5A CN202011065966A CN112227180B CN 112227180 B CN112227180 B CN 112227180B CN 202011065966 A CN202011065966 A CN 202011065966A CN 112227180 B CN112227180 B CN 112227180B
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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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- E01D—CONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
- E01D19/00—Structural or constructional details of bridges
- E01D19/14—Towers; Anchors ; Connection of cables to bridge parts; Saddle supports
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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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Abstract
The invention relates to the technical field of structural vibration control, in particular to a stay cable combined vibration damping device and a stay cable combined vibration damping method, wherein the stay cable combined vibration damping device comprises the following steps: determining the vibration fundamental frequency of the stay cable according to the parameters of the stay cable; determining the installation position of an external damper according to the vibration reduction requirement of the stay cable; determining the vibration standing point frequency of the stay cable at the installation position according to the fundamental frequency of the stay cable and the installation position of the external damper; determining the control frequency of a tuned mass damper to be installed according to the stay cable vibration stagnation point frequency at the installation position of the stay cable external damper; and installing an external damper according to the installation position of the external damper, and installing a tuned mass damper on the stay cable between the anchoring point and the external damper. The problem that in the prior art, an external damper is arranged at a vibration stagnation point, the vibration frequency adjacent to the vibration frequency corresponding to the stagnation point cannot be effectively damped, and the problem that the stay cable external damper is poor in high-frequency vibration control effect on a stay cable can be solved.
Description
Technical Field
The invention relates to the technical field of structural vibration control, in particular to a stay cable combined vibration reduction device and a stay cable combined vibration reduction method.
Background
With the development of scientific technology and the research and development of new materials and new technologies, the span of the cable-stayed bridge is continuously broken through, and the number of the cable-stayed bridges with main span exceeding 1000 m is also continuously increased. The application of the ultra-long stay cable (the stay cable with the length exceeding 450m is the ultra-long stay cable specified by the stay cable external viscous damper JT/T1038 and 2016) is increasingly wide, and compared with the stay cable with the common length, the flexibility of the ultra-long stay cable is increased, the damping is also greatly reduced, and therefore, different types of vibration can be easily generated under the excitation of dynamic loads. A large number of engineering and construction projects show that the ultra-long stay cables are very easy to be damaged by fatigue, because the ultra-long stay cables of the cable-stayed bridge often generate large-amplitude and severe vibration even under the conditions of light rain and weak wind. The fatigue damage of the ultra-long stay cable often causes the damage of the stay cable protective sleeve, thereby accelerating the corrosion of the stay cable, and the stay cable may lose most bearing capacity or lose effectiveness under severe conditions, so that the safety of the whole bridge is seriously affected.
Usually, an external damper and an internal damper or a combination of the external damper and the internal damper are used for vibration control of the ultra-long stay cable, but when the external damper is used, the mounting position of the external damper is higher, so that the mounting position of the external damper is a vibration stagnation point (where the vibration displacement is 0), at the moment, the stay cable external damper cannot play a vibration damping function, and if the vibration is serious, the damper connecting piece can be damaged. In addition, the external damper of the stay cable has limited effect on controlling the high-order vibration of the stay cable, and the high-frequency vibration easily causes damage to the connecting piece of the stay cable damper and loosening of the bolt, so that the durability of the stay cable damper is greatly reduced.
Disclosure of Invention
Aiming at the defects in the prior art, the invention aims to provide a stay cable combined vibration attenuation device and a stay cable combined vibration attenuation method, which can solve the problem that the installation position of an external damper is a vibration stagnation point and the vibration attenuation function cannot be effectively exerted because the installation position of the damper required by the external damper is higher in the prior art; meanwhile, the problem that the stay cable external damper is damaged and the vibration reduction effect is influenced due to high-frequency vibration of the stay cable is solved.
In order to achieve the above purposes, the technical scheme adopted by the invention is as follows:
on one hand, the invention discloses a stay cable combined vibration damper, which is characterized by comprising the following components:
an external damper, comprising:
a damper cable clamp for clamping in a set position of the stay cable,
a dowel having one end connected to the damper cable clamp,
-a damper for being provided on the deck and connected to the other end of said dowel;
and the tuned mass damper is arranged on the stay cable between the anchoring point and the external damper.
In order to achieve better broadband control effect and multi-order high-frequency vibration control, the tuned mass damper can be a multiple tuned mass damper and can control the vibration of a plurality of vibration frequencies of the stay cable.
On the basis of the technical scheme, the tuned mass damper is arranged on the midpoint between the anchoring point of the stay cable and the external damper.
On the basis of the technical scheme, the external damper is an oil damper, a viscous damper or an eddy current damper, and the tuned mass damper is a multiple tuned mass damper.
On the other hand, the invention also provides a stay cable combined vibration reduction method, which comprises the following steps:
determining the vibration fundamental frequency of the stay cable according to the parameters of the stay cable;
determining the installation position of an external damper according to the vibration reduction design requirement of the stay cable;
determining the vibration standing point frequency of the stay cable at the installation position according to the vibration fundamental frequency of the stay cable and the installation position of the external damper;
determining the control frequency of a tuned mass damper to be installed according to the vibration standing point frequency of a stay cable at the installation position of the external damper;
and installing an external damper according to the installation position of the external damper, and installing a tuned mass damper on the stay cable between the anchoring point and the external damper.
On the basis of the technical scheme, the determining of the vibration fundamental frequency of the stay cable specifically comprises the following steps:
according to the formula
Calculating to obtain the vibration fundamental frequency f of the stay cable1Wherein, L is the length of the stay cable, T is the tension of the stay cable, and m is the linear density of the stay cable.
On the basis of the technical scheme, the installation position of the external damper is determined to be 1% -4% of the length of the stay cable away from the bridge deck anchoring point according to the vibration reduction design requirement of the stay cable.
On the basis of the technical scheme, the method for determining the vibration standing point frequency of the stay cable at the installation position according to the vibration fundamental frequency of the stay cable and the installation position of the external damper specifically comprises the following steps:
according to the formula
Determining the installation position ratio n of the external damper;
according to the formula
Determining the vibration stagnation frequency f of the stay cable at the installation locationn；
Wherein l1The distance from the anchoring point of the stay cable to the external damper is L, the length of the stay cable is T, the tension force of the stay cable is T, and the linear density of the m-long stay cable is m.
On the basis of the technical scheme, the determining of the control frequency of the tuned mass damper to be installed according to the vibration standing point frequency of the stay cable at the installation position of the external damper specifically comprises the following steps:
determining the control frequency range of the tuned mass damper according to the vibration standing point frequency of the stay cable at the installation position of the external damper;
and determining the control frequency of the tuned mass damper to be installed according to the control frequency range of the tuned mass damper.
On the basis of the technical scheme, the control frequency range of the tuned mass damper is three-order vibration frequency before and after the vibration stagnation frequency of the stay cable at the installation position of the external damper 1:
on the basis of the technical scheme, the tuned mass damper adopts a multiple tuned mass damper formed by matching a steel strand with two mass blocks,
according to the formula
And
determining a control frequency of the tuned mass damper;
wherein f is1' tuning the first control frequency of the mass damper, f2' tuning a second control frequency of the mass damper, E is the strand modulus of elasticity, I is the strand bending stiffness, M1 is the first mass, L2 is the first mass to clip distance, M2 is the second mass, L2 is the second mass to clip distance, and L2<L1, when installed, the second mass is located above.
Compared with the prior art, the invention has the advantages that: when the stay cable combined vibration damping device and the stay cable combined vibration damping method are used, a tuned mass damper is arranged on the stay cable between an anchoring point and an external damper, the tuned mass damper can be a damper which can meet a broadband control effect within a certain range, the vibration damping requirements of front and rear third-order frequencies near a stay point of an ultra-long stay cable are met, and certain measures are taken to be attached to the stay cable. And the tuned mass damper is convenient to install, and can carry out effective full-band control on the stay cable by combining two dampers, thereby solving the problem of vibration reduction of the ultra-long stay cable. In addition, the invention is also suitable for the vibration reduction requirements of long suspension cables of suspension bridges, long suspension rods of arch bridges and other rod system structures.
Drawings
In order to more clearly illustrate the technical solutions in the embodiments of the present application, the drawings needed to be used in the description of the embodiments are briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present application, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without creative efforts.
Fig. 1 is a schematic structural view of a stay cable combined vibration damping device in an embodiment of the present invention;
fig. 2 is a schematic structural diagram of a tuned mass damper in an embodiment of the present invention.
In the figure: 1. an external damper; 11. a damper cable clamp; 12. a dowel bar; 13. a damper; 2. a tuned mass damper; 21. TMD clamp; 22. steel strand wires; 23. a mass block; 24. a steel strand clamp; 3. a stay cable; 4. and (5) bridge deck.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present application clearer, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is obvious that the described embodiments are some embodiments of the present application, but not all embodiments. 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 application.
Embodiments of the present invention will be described in further detail below with reference to the accompanying drawings.
Fig. 1 is a schematic structural view of a stay cable combined vibration damping device in an embodiment of the present invention; as shown in fig. 1, the present invention provides a stay cable combined vibration damping device, including: an external damper 1 comprising: the external damper 1 further comprises a dowel bar 12, one end of the dowel bar is connected with the damper cable clamp 11, and the damper 13 is arranged on the bridge deck 4 and is connected with the other end of the dowel bar 12; the stay cable combined vibration damper device also comprises a tuned mass damper 2 which is arranged on a stay cable 3 between the anchoring point and the external damper 1.
When the stay cable combined vibration damper is used, a tuned mass damper 2 is arranged on a stay cable 3 between an anchoring point and an external damper 1, the tuned mass damper 2 is a damper capable of meeting a broadband control effect within a certain range, the vibration damping requirements of front and back third-order frequencies near a stay point of an ultra-long stay cable are met, and certain measures are taken to attach the stay cable 3. And the tuned mass damper 2 is convenient to install, and the combined use of the two dampers can carry out effective full-band control on the stay cable 3, thereby solving the problem of vibration reduction of the ultra-long stay cable. In addition, the invention is also suitable for the damping requirements of long suspension cables of suspension bridges, long suspension rods of arch bridges and other rod system structures.
In addition, according to the vibration fundamental frequency of the stay cable, the frequency range of the control effect which can be achieved by the stay cable external damper can be checked, the stay cable external damper is easy to damage, and the multiple tuned mass dampers are adopted for controlling the vibration exceeding the control frequency range of the stay cable. Similar to the standing point vibration control, the multiple tuned mass dampers perform high-frequency vibration control, and multiple tuned mass dampers (multiple tuned mass dampers) can be arranged, so that the effect of broadband control of the stay cable is achieved.
In some alternative embodiments, tuned mass dampers 2 are used to be placed at the mid-point between the anchor points of the stay cables to the external dampers 1.
In this embodiment, the tuned mass damper 2 is disposed at the midpoint between the anchor point of the stay cable and the external damper 1, the vibration amplitude at the midpoint is the largest, and the tuned mass damper 2 is disposed at the midpoint, so that the vibration can be controlled more effectively.
In some alternative embodiments, the external damper 1 is an oil damper, a viscous damper or an eddy current damper, and the tuned mass damper 2 is a multiple tuned mass damper.
The multi-tuned mass damper can achieve a better broadband control effect and multi-order high-frequency vibration control, and can be used for controlling the vibration of a plurality of vibration frequencies of the stay cable.
Fig. 2 is a schematic structural diagram of a tuned mass damper according to an embodiment of the present invention, as shown in fig. 2, in addition, in this embodiment, the tuned mass damper 2 adopts a damping scheme of a multiple tuned mass damper with a mass block matched with a steel strand, and the specific structure includes four parts, namely, a TMD clamp 21, a steel strand 22, a cylindrical mass block 23, and a steel strand clamp 24.
The invention also provides a stay cable combined vibration reduction method, which comprises the following steps:
s1: and determining the vibration fundamental frequency of the stay cable 3 according to the parameters of the stay cable 3.
Preferably according to the formula
Calculating to obtain the vibration fundamental frequency f of the stay cable1Wherein L is the length of the stay cable, T is the tension of the stay cable, and m is the length of the stay cableLinear density of cord.
Fundamental frequency f of vibration1The first order vibration frequency.
S2: and determining the installation position of the external damper 1 according to the vibration reduction design requirement of the stay cable 3.
In this embodiment, according to the vibration reduction design requirement of the stay cable 3, the installation position of the external damper 1 is determined to be 1% -4% of the length of the stay cable 3 away from the bridge deck anchoring point.
S3: and determining the vibration standing point frequency of the stay cable at the installation position according to the vibration fundamental frequency of the stay cable 3 and the installation position of the external damper 1. The vibration stagnation frequency is a vibration frequency with the mounting position of the external damper 1 as a stagnation point.
Preferably, determining the vibration stagnation frequency of the stay cable at the installation position specifically includes:
according to the formula
Determining the installation position ratio n of the external damper;
according to the formula
Determining the vibration standing point frequency f of the stay cable at the installation position of the external damper 1n；
Wherein l1The distance from an anchoring point of the stay cable to the external damper is L, the length of the stay cable is T, the tension force of the stay cable is T, and the linear density of the m-long stay cable is m. f. ofnIs the vibration frequency of the order n.
In this embodiment, the external damper installation position ratio n is rounded.
S4: and determining the control frequency of the tuned mass damper 2 to be installed according to the vibration standing point frequency of the stay cable at the installation position of the external damper 1.
Preferably, determining the control frequency of the tuned mass damper 2 specifically comprises:
s41: and determining the control frequency of the tuned mass damper 2 to be installed according to the vibration standing point frequency of the stay cable 3 at the installation position of the external damper 1.
Preferably, the control frequency range of the tuned mass damper 2 is the third order vibration frequency before and after the vibration stagnation frequency of the stay cable:
the frequency of the stay point position of the stay cable is the nth order, the vibration amplitude of the stay cable near the stay points of n-3 and n +3 is very small, and the vibration reduction effect of the external damper of the stay cable is not obvious, so the vibration modes of the three orders before and after the nth order are covered by adopting the tuned mass damper, and the vibration reduction effect of the whole stay cable can be improved.
S42: the control frequency of the tuned mass damper 2 to be installed is determined from the control frequency range of the tuned mass damper 2.
Preferably according to a formula
And
determining the control frequency of the tuned mass damper 2;
wherein f is1' to tune the first control frequency, f, of the mass damper 22' is the second control frequency of tuned mass damper 2, E is the elastic modulus of the steel strand, I is the bending stiffness of the steel strand, M1Is the first mass, L1Distance of first mass to cable clamp, M2Is the second mass, L2Is the distance of the second mass from the cable clamp, and L2<L1And the second mass is located above during installation.
M1 and M2 were determined by the stay cable modal mass M and mass ratio μ, with 3% attenuation (about 0.5% damper) for the target guy cable opponent, and the mass ratio was taken to be 0.05%, i.e. M1 and M2 were taken to be 0.05% of the stay cable modal mass. And selecting a trial steel strand model by determining the mass of the mass block, and determining L1 and L2 according to a formula.
In this embodiment, making the frequency of the tuned mass damper 2 1.05 times the minimum range and 0.95 times the maximum range makes it possible to make the frequency controlled by the tuned mass damper 2 wider.
S5: and installing an external damper according to the installation position of the external damper, and installing a tuned mass damper 2 on the stay cable between the anchoring point and the external damper 1.
In summary, when the stay cable combined vibration damping method is used, the tuned mass damper 2 is arranged on the stay cable between the anchor point and the external damper 1, the tuned mass damper 2 is selected from dampers which can meet a broadband control effect within a certain range, the vibration damping requirements of front and rear third-order frequencies near the stay point of the ultra-long stay cable are met, and certain measures are taken to attach the stay cable. And the tuned mass damper 2 is convenient to install, and can carry out effective full-band control on the stay cable by the combined use of the two dampers, thereby solving the problem of vibration reduction of the ultra-long stay cable. In addition, the invention is also suitable for the vibration reduction requirements of long suspension cables of suspension bridges, long suspension rods of arch bridges and other rod system structures.
On the basis of installing an external damper on the stay cable, multiple tuned mass dampers are installed, the effect of controlling the high-frequency vibration of the stay cable is achieved by a combined vibration damping method of the two dampers, and the installation positions of the multiple tuned mass dampers are kept away from the vibration stagnation position of the stay cable. The external damper for the stay cable of the external damper for the stay cable can solve the problems that the external damper for the stay cable has a limited effect on controlling high-order vibration of the stay cable, and high-frequency vibration easily causes damage to a connecting piece of the damper for the stay cable and loosening of a bolt, so that the external damper for the stay cable can be effectively protected by controlling high-order vibration of the stay cable through the matched tuned mass damper, and a good vibration reduction effect is achieved. The invention can be used for controlling wind-induced vibration and parameter vibration of the stay cable, and is also suitable for controlling vibration of other rod system structures such as a suspension cable of a suspension bridge, a suspender of an arch bridge and the like.
By taking the vibration reduction control of the ultra-long stay cable of a certain large-span cable-stayed bridge as an example, the cable length is 540.9m, the outer diameter of the stay cable is 0.2m, the cable force is 6774kN, the cable weight per meter is 100.8kg/m, the total weight of the stay cable is 54.52 tons, the inclination angle is 25.39 degrees, and the fundamental frequency of the stay cable is calculated to be f1The installation position ratio of the stay cable external damper is 0.24Hzl1And L is 2.5%, so the vibration order n of the stay cable at the stagnation point is 1/2.5% and 40, and the vibration frequency fn is 40 × 0.24 and 9.6Hz, so the TMD control frequency ranges are (9.6-3 × 0.24,9.6+3 × 0.24) and (8.88,10.32) Hz, and the TMD design fundamental frequencies are 8.88Hz and 10.32Hz respectively. The mass of a 40-order modal of the stay cable is 0.5 × 54.52 tons, 27.26 tons, the damping ratio required by vibration control of the stay cable is 3% according to the specification, the mass ratio of TMD is designed to be 1 ‰throughoptimization calculation, so that the total mass of the mass block is 27.26kg, the mass of a single mass block is 13.63kg, and the shape of the steel strand can be selected according to the mass and the control frequency of the single mass block, so that the diameter and the length of the steel strand are determined.
In the description of the present application, it should be noted that the terms "upper", "lower", and the like indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings, which are only for convenience in describing the present application and simplifying the description, and do not indicate or imply that the referred device or element must have a specific orientation, be constructed in a specific orientation, and operate, and thus, should not be construed as limiting the present application. Unless expressly stated or limited otherwise, the terms "mounted," "connected," and "connected" are intended to be inclusive and mean, for example, that they may be fixedly connected, detachably connected, 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 meaning of the above terms in the present application can be understood by those of ordinary skill in the art as appropriate.
It is noted that, in this application, relational terms such as "first" and "second," and the like, are used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Also, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising an … …" does not exclude the presence of other identical elements in a process, method, article, or apparatus that comprises the element.
The above description is merely exemplary of the present application and is presented to enable those skilled in the art to understand and practice the present application. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the application. Thus, the present application is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
Claims (8)
1. A stay cable combined vibration damper is characterized by comprising:
an external damper (1) comprising:
a damper cable clamp (11) for clamping in a set position of the stay cable (3),
-a dowel (12) connected at one end to the damper cable clamp (11),
-a damper (13) for being provided on the deck (4) and connected to the other end of said dowel (12);
the tuned mass damper (2) is arranged on a stay cable (3) between an anchoring point and the external damper (1), and the control frequency of the tuned mass damper (2) is determined according to the following steps:
determining the vibration fundamental frequency of the stay cable (3) according to the parameters of the stay cable (3);
determining the installation position of the external damper (1) according to the vibration reduction design requirement of the stay cable (3);
determining the vibration standing point frequency of the stay cable at the installation position according to the vibration fundamental frequency of the stay cable (3) and the installation position of the external damper (1)The method specifically comprises the following steps: according to the formula
Determining the installation position ratio n of the external damper; according to the formula
Determining the vibration stagnation frequency f of the stay cable at the installation locationn(ii) a Wherein l1The distance between an anchoring point of the stay cable and the external damper is L, the length of the stay cable is T, the tension force of the stay cable is T, and the linear density of the m-long stay cable is m;
determining the control frequency of a tuned mass damper (2) to be installed according to the vibration standing point frequency of a stay cable (3) at the installation position of an external damper (1), and specifically comprising the following steps: determining the control frequency range of the tuned mass damper (2) according to the vibration standing point frequency of the stay cable (3) at the installation position of the external damper (1); determining the control frequency of the tuned mass damper (2) to be installed according to the control frequency range of the tuned mass damper (2).
2. The stay cable combined vibration damper according to claim 1, wherein: the tuned mass damper (2) is arranged on the midpoint between the anchoring point of the stay cable (3) and the external damper (1).
3. The stay cable combined vibration damper according to claim 1, wherein: the external damper (1) is an oil damper, a viscous damper or an eddy current damper, and the tuned mass damper (2) is a multiple tuned mass damper.
4. A vibration damping method using the stay cable combined vibration damping device according to claim 1, comprising the steps of:
determining the vibration fundamental frequency of the stay cable (3) according to the parameters of the stay cable (3);
determining the installation position of the external damper (1) according to the vibration reduction design requirement of the stay cable (3);
the method comprises the following steps of determining the vibration standing point frequency of a stay cable at an installation position according to the vibration fundamental frequency of the stay cable (3) and the installation position of an external damper (1), and specifically comprises the following steps: according to the formula
Determining the installation position ratio n of the external damper; according to the formula
Determining the vibration stagnation frequency f of the stay cable at the installation locationn(ii) a Wherein l1The distance between an anchoring point of the stay cable and the external damper is L, the length of the stay cable is T, the tension force of the stay cable is T, and the linear density of the m-long stay cable is m;
determining the control frequency of a tuned mass damper (2) to be installed according to the vibration standing point frequency of a stay cable (3) at the installation position of an external damper (1), and specifically comprising the following steps: determining the control frequency range of the tuned mass damper (2) according to the vibration stagnation frequency of the stay cable (3) at the installation position of the external damper (1); determining the control frequency of the tuned mass damper (2) to be installed according to the control frequency range of the tuned mass damper (2);
the external damper (1) is installed according to the installation position of the external damper (1), and the tuned mass damper (2) is installed on the stay cable between the anchoring point and the external damper (1).
5. The vibration damping method according to claim 4, wherein the determining the fundamental frequency of the stay cable vibration specifically comprises:
according to the formula
Calculating to obtain the vibration fundamental frequency f of the stay cable1And L is the length of the stay cable, T is the tension of the stay cable, and m is the linear density of the stay cable.
6. A vibration damping method according to claim 4, characterized in that the installation position of the external damper (1) is determined to be 1% -4% of the length of the stay cable (3) away from the bridge deck anchoring point according to the vibration damping design requirement of the stay cable (3).
7. A method of damping vibration according to claim 4, characterized in that the control frequency range of the tuned mass damper (2) is the third order vibration frequency before and after the vibration stagnation frequency:
8. a method of vibration damping according to claim 4, characterized in that the tuned mass damper (2) is a multiple tuned mass damper with two masses of steel strands,
according to the formula
And
determining a control frequency of the tuned mass damper (2);
wherein f is1' tuning a first control frequency, f, of a mass damper (2)2' is the second control frequency of the tuned mass damper (2), E is the elastic modulus of the steel strand, I is the bending stiffness of the steel strand, M1Is the first mass, L1Distance of first mass to cable clamp, M2Is the second mass, L2Is the distance of the second mass from the cable clamp, and L2<L1And the second mass is located above during installation.
Priority Applications (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202011065966.5A CN112227180B (en) | 2020-09-30 | 2020-09-30 | Stay cable combined vibration reduction device and method |
| AU2021105110A AU2021105110A4 (en) | 2020-09-30 | 2021-08-09 | Stay Cable Combined Vibration Damping Device and Method |
Applications Claiming Priority (1)
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| CN113622304B (en) * | 2021-08-06 | 2023-04-11 | 中铁大桥局集团有限公司 | Stay cable lever amplification damping device |
| CN114481807A (en) * | 2022-01-20 | 2022-05-13 | 中铁大桥局集团有限公司 | A stay cable damper and combined damping device |
| CN114880738B (en) * | 2022-04-19 | 2024-07-26 | 福州大学 | Optimization method for lateral seismic failure mode of inclined bridge towers |
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