阅读说明：本技术 基于防泄漏磁流变阻尼器的正交异性钢桥面板减振方法 (Orthotropic steel bridge deck vibration reduction method based on leakage-proof magnetorheological damper ) 是由 涂建维 张家瑞 廖田龙 于 2021-08-25 设计创作，主要内容包括：本发明公开了基于防泄漏磁流变阻尼器的正交异性钢桥面板减振方法,涉及结构工程和自动控制技术领域。针对正交异性钢桥面板减振提出了通过在正交异性钢桥面板下安装防泄漏磁流变阻尼器,利用防泄漏磁流变阻尼器的阻尼力可调特性,结合智能控制算法,为正交异性钢桥面板提供实时可变的附加阻尼力,减小正交异性钢桥面板的变形,从而降低应力集中程度,达到减振效果。(The invention discloses an orthotropic steel bridge deck vibration attenuation method based on a leakage-proof magneto-rheological damper, and relates to the technical field of structural engineering and automatic control. According to the vibration reduction of the orthotropic steel bridge deck, the leakage-proof magnetorheological damper is arranged under the orthotropic steel bridge deck, the damping force adjustable characteristic of the leakage-proof magnetorheological damper is utilized, an intelligent control algorithm is combined, real-time variable additional damping force is provided for the orthotropic steel bridge deck, the deformation of the orthotropic steel bridge deck is reduced, the stress concentration degree is reduced, and the vibration reduction effect is achieved.)

1. The orthotropic steel bridge deck plate vibration reduction method based on the anti-leakage magnetorheological damper is characterized by comprising the following steps of:

s1: analyzing the stress characteristics of the orthotropic steel bridge deck, and determining the maximum deformation position of the bridge deck as the mounting position of the anti-leakage magneto-rheological damper;

s2: establishing a mechanical model of the anti-leakage magnetorheological damper;

wherein: the leak-proof magnetorheological dampingThe circumference of the piston section of the device is b, the effective length of the piston part is l, and the effective area of the piston is A_pU is the relative displacement of the piston, v₀Is the piston velocity, h is the damper gap width, τ_yShear yield strength of the magnetorheological material, eta is the dynamic viscosity of the magnetorheological material, Q₀In order to not consider the flow of the magnetorheological fluid passing through the gap when the viscoelastic material is warped and deformed, n is the number of the viscoelastic material blocks, d is the thickness of the viscoelastic material, A_sIs equivalent planar area of viscoelastic material, G₁、G₂Storage and loss moduli, η, for viscoelastic materials₂Is the loss factor of the viscoelastic material, t is the time, and omega is the excitation frequency;

firstly, establishing a mechanical model of a conventional magnetorheological damper:

the fluid pressure in the cavity of the leakage-proof magnetorheological damper can cause the buckling deformation of the viscoelastic material, so that the gap flow of the magnetorheological fluid is influenced, and the gap pressure gradient is further influenced. In order to consider the influence of the deformation of the viscoelastic material on the gap pressure gradient, a pressure gradient correction coefficient alpha (t) is introduced to obtain the damping force generated by the magnetorheological fluid:

F_ΔV＝α(t)F_sv；

the viscoelastic material is an energy-consuming damping material, and can change the damping and the rigidity of the device after being used as a sealing device, and the calculation formula of the damping force is as follows:

the expression of modulus versus loss factor according to the standard linear solid model is as follows:

wherein q is₀、q₁、p₁Is a coefficient related to the property of the viscoelastic material;

and (2) integrating a viscoelastic material damping force calculation model and a common magnetorheological damper mechanical model, and establishing the anti-leakage magnetorheological damper mechanical model:

F＝α(t)F_sv+F_v

according to the performance test, the pressure gradient correction coefficient also changes along with the change of the current, and according to the calculation result under each current, the fitting form of the correction coefficient under the simple harmonic load is as follows:

α(I,t)＝m(I)-n(I)|cos(ωt)|

wherein m (I), n (I) are parameters related to current;

after two current parameters in the correction coefficient are obtained, a complete mechanical model of the designed damper can be obtained:

F＝[m(I)-n(I)|cos(ωt)|]F_sv+F_v；

s3: solving a coupled motion equation of the leakage-proof magnetorheological damper and the orthotropic steel bridge deck structure, and establishing a relation between the vibration response and the damping force of the orthotropic steel bridge deck;

s4: writing a fuzzy PID control algorithm, converting a physical space signal obtained by a displacement sensor into a modal coordinate signal, outputting a control signal through a dSPACE real-time simulation system, and controlling a current source to output a current to act on the leakage-proof magneto-rheological damper so that the leakage-proof magneto-rheological damper exerts a force to resist an external load, thereby playing a role in vibration reduction.

2. The orthotropic steel deck plate damping method based on a leak-proof magnetorheological damper according to claim 1, wherein the leak-proof magnetorheological damper comprises: the piston rod and the cylinder barrel are filled with viscoelastic materials, and the piston rod and the cylinder barrel are fixed together through a microwave vulcanization technology.

3. The orthotropic steel bridge deck vibration damping method based on the leak-proof magnetorheological damper as recited in claim 1, wherein the relationship between the vibration response and the damping force of the orthotropic steel bridge deck is established by solving a coupled equation of motion of the leak-proof magnetorheological damper and the orthotropic steel bridge deck.

Technical Field

The invention belongs to the field of structural engineering and automatic control, and particularly relates to an orthotropic steel bridge deck vibration attenuation method based on a leakage-proof magnetorheological damper.

Background

With the increasing development of traffic, the number of domestic and foreign bridges is gradually increased, and orthotropic steel bridge deck plates are widely applied as a novel bridge form due to the advantages of light dead weight, high bearing capacity, high construction speed, steel saving and the like. The orthotropic steel bridge deck is an integral plate structure which is formed by connecting a top plate, longitudinal ribs and transverse clapboards through welding and is used for bearing the load of wheels in space. The forming mode can cause the phenomena of unavoidable residual stress, welding seam defects, stress concentration and the like at the welding seam connection part between each component. Under the direct action of local wheel load, the orthotropic steel bridge deck is easy to generate local bending deformation due to uneven rigidity distribution, thereby causing the deformation of welding part components, further intensifying the influence of various initial defects on stress concentration and reducing the overall fatigue resistance of the orthotropic steel bridge deck. The frequent fatigue failure problem of the orthotropic steel bridge deck causes huge economic loss and social influence, and seriously restricts the development of the bridge.

In order to improve the fatigue resistance of orthotropic steel deck plates, a large number of researchers have studied various aspects of the problem over the years, and not only have the cause and the part of fatigue, but also have the methods of fatigue life estimation, maintenance and the like. Most scholars do research on improving the fatigue performance of orthotropic steel bridge deck slab, starting from the structure of the structure, and reducing the stress concentration degree by changing the structural form and the detailed structure, but the effect is not ideal.

The magneto-rheological damper is used as a semi-active control device, and has the advantages of strong controllability, quick response, low power and the like, so that the magneto-rheological damper is widely applied. However, most magnetorheological fluid dampers are sealed by rubber sealing rings, and have a liquid leakage phenomenon after long-term service, and the orthotropic steel bridge deck has serious deformation, concentrated stress and poor vibration damping effect.

In view of the above, the present invention is particularly proposed.

Disclosure of Invention

The invention aims to provide a vibration reduction method for an orthotropic steel bridge deck based on a leakage-proof magneto-rheological damper.

In order to achieve the technical purpose, the invention provides the following technical scheme:

the invention provides an orthotropic steel bridge deck plate vibration reduction method based on a leakage-proof magnetorheological damper, which comprises the following steps:

s1: analyzing the stress characteristics of the orthotropic steel bridge deck, and determining the maximum deformation position of the bridge deck as the mounting position of the anti-leakage magneto-rheological damper;

s2: establishing a mechanical model of the anti-leakage magnetorheological damper;

wherein: the perimeter of the cross section of a piston of the leakproof magnetorheological damper is b, the effective length of the piston part is l, and the effective area of the piston is A_pU is the relative displacement of the piston, v₀Is the piston velocity, h is the damper gap width, τ_yShear yield strength of the magnetorheological material, eta is the dynamic viscosity of the magnetorheological material, Q₀In order to not consider the flow of the magnetorheological fluid passing through the gap when the viscoelastic material is warped and deformed, n is the number of the viscoelastic material blocks, d is the thickness of the viscoelastic material, A_sIs equivalent planar area of viscoelastic material, G₁、G₂Storage and loss moduli, η, for viscoelastic materials₂Is the loss factor of the viscoelastic material, t is the time, and omega is the excitation frequency;

firstly, establishing a mechanical model of a conventional magnetorheological damper:

the fluid pressure in the cavity of the leakage-proof magnetorheological damper can cause the buckling deformation of the viscoelastic material, so that the gap flow of the magnetorheological fluid is influenced, and the gap pressure gradient is further influenced. In order to consider the influence of the deformation of the viscoelastic material on the gap pressure gradient, a pressure gradient correction coefficient alpha (t) is introduced to obtain the damping force generated by the magnetorheological fluid:

F_ΔV＝α(t)F_sv；

the viscoelastic material is an energy-consuming damping material, and can change the damping and the rigidity of the device after being used as a sealing device, and the calculation formula of the damping force is as follows:

the expression of modulus versus loss factor according to the standard linear solid model is as follows:

wherein q is₀、q₁、p₁Is a coefficient related to the property of the viscoelastic material;

and (2) integrating a viscoelastic material damping force calculation model and a common magnetorheological damper mechanical model, and establishing the anti-leakage magnetorheological damper mechanical model:

F＝α(t)F_sv+F_v

according to the performance test, the pressure gradient correction coefficient also changes along with the change of the current, and according to the calculation result under each current, the fitting form of the correction coefficient under the simple harmonic load is as follows:

α(I,t)＝m(I)-n(I)|cos(ωt)|

wherein m (I), n (I) are parameters related to current;

after two current parameters in the correction coefficient are obtained, a complete mechanical model of the designed damper can be obtained:

F＝[m(I)-n(I)|cos(ωt)|]F_sv+F_v；

s3: solving a coupled motion equation of the leakage-proof magnetorheological damper and the orthotropic steel bridge deck structure, and establishing a relation between the vibration response and the damping force of the orthotropic steel bridge deck;

s4: writing a fuzzy PID control algorithm, converting a physical space signal obtained by a displacement sensor into a modal coordinate signal, outputting a control signal through a dSPACE real-time simulation system, and controlling a current source to output a current to act on the leakage-proof magneto-rheological damper so that the leakage-proof magneto-rheological damper exerts a force to resist an external load, thereby playing a role in vibration reduction.

In the prior art, most of magnetorheological fluid dampers are sealed by rubber sealing rings, the phenomenon of leakage can occur after long-term service, and orthotropic steel bridge deck plates are seriously deformed, stress is concentrated, and the vibration reduction effect is poor.

The invention adopts an orthotropic steel bridge deck vibration damping method based on an anti-leakage magneto-rheological damper, which mainly comprises the following steps: firstly, the installation position of the anti-leakage magneto-rheological damper under the orthotropic steel bridge deck is determined. Because the deck slab directly bears the wheel load, under the removal load, the bridge floor can take place vertically and horizontal deformation, and this kind of deformation receives the restraint of connecting weld, must produce very big stress at the welding seam junction, causes the fatigue failure of junction, consequently installs novel prevent leaking the magnetorheological damper in the biggest department that warp. Secondly, a viscoelastic material damping force calculation model and a common magneto-rheological damper mechanical model are integrated, the relation between the input current and the damping force of the novel anti-leakage magneto-rheological damper is established, and the mechanical model is verified through a performance test to obtain a complete novel anti-leakage magneto-rheological damper mechanical model. Then, solving a coupled motion equation of the anti-leakage magneto-rheological damper and the orthotropic steel bridge deck structure, and establishing a relation between the vibration response and the damping force of the orthotropic steel bridge deck. And finally, writing a fuzzy PID control algorithm, converting a physical space signal obtained by the displacement sensor into a modal coordinate signal, outputting a control signal through the dSPACE real-time simulation system, and controlling the current source to output current to act on the leakage-proof magneto-rheological damper so that the leakage-proof magneto-rheological damper exerts force to resist external load, thereby playing a role in vibration reduction.

Preferably, the leak-resistant magnetorheological damper comprises: the piston rod and the cylinder barrel are filled with viscoelastic materials, and the piston rod and the cylinder barrel are fixed together through a microwave vulcanization technology.

Preferably, the relationship between the vibration response and the damping force of the orthotropic steel bridge deck is established by solving a coupled motion equation of the anti-leakage magnetorheological damper and the orthotropic steel bridge deck.

Compared with the prior art, the invention has the beneficial effects that:

the orthotropic steel bridge deck vibration attenuation method based on the leakage-proof magneto-rheological damper provided by the invention is completely innovative by applying current to the leakage-proof magneto-rheological damper arranged below the orthotropic steel bridge deck to generate real-time variable damping force and reduce the deformation of the orthotropic steel bridge deck.

Drawings

Various other advantages and benefits will become apparent to those of ordinary skill in the art upon reading the following detailed description of the preferred embodiments. The drawings are only for purposes of illustrating the preferred embodiments and are not to be construed as limiting the invention. Also, like reference numerals are used to refer to like parts throughout the drawings. In the drawings:

FIG. 1 is a schematic flow chart of a vibration damping method for an orthotropic steel bridge deck based on a leakage-proof magnetorheological damper according to the present invention;

FIG. 2 is a cross-sectional view of the leak-resistant magnetorheological damper of the present invention;

FIG. 3 is a schematic layout view of the method for damping orthotropic steel bridge deck slab based on the leakage-proof magnetorheological damper of the present invention.

Wherein: 1. an electrode wire; 2. a liquid filling port; 3. a cylinder barrel; 4. a piston rod; 5. a viscoelastic material; 6. a coil; 7. a piston; 8. orthotropic steel decking; 9. dSPACE real-time simulation system; 10. a computer; 11. a current source; 12. a leak-proof magnetorheological damper; 13. and a displacement sensor.

Detailed Description

The technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings and the detailed description, but those skilled in the art will understand that the following described embodiments are some, not all, of the embodiments of the present invention, and are only used for illustrating the present invention, and should not be construed as limiting the scope of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention. The examples, in which specific conditions are not specified, were conducted under conventional conditions or conditions recommended by the manufacturer. The reagents or instruments used are not indicated by the manufacturer, and are all conventional products available commercially.

In the description of the present invention, it should be noted that the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", etc., indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings, and are only for convenience of description and simplicity of description, but do not indicate or imply that the device or element being referred to must have a particular orientation, be constructed and operated in a particular orientation, and thus, should not be construed as limiting the present invention. Furthermore, the terms "first," "second," and "third" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance.

In the description of the present invention, it should be noted that, unless otherwise explicitly specified or limited, the terms "mounted," "connected," and "connected" are to be construed broadly, e.g., as meaning either a fixed connection, a removable connection, or an integral connection; can be mechanically or electrically connected; they may be connected directly or indirectly through intervening media, or they may be interconnected between two elements. The specific meanings of the above terms in the present invention can be understood in specific cases to those skilled in the art.

In order to more clearly illustrate the technical solution of the present invention, the following description is made in the form of specific embodiments.

Examples

Referring to fig. 2, which is a cross-sectional view of the leak-proof magnetorheological damper of the present invention, a viscoelastic material 5 is filled between the piston rod 4 and the cylinder 3, the viscoelastic material 5 and the piston rod 4 are completely fixed together by a microwave vulcanization technique. The thickness and the bonding length of the viscoelastic material 5 need to be designed according to actual conditions. A piston 7 is also arranged between the cylinder barrels 3, and the piston 7 is connected with the piston rod 4. The lateral wall of cylinder 3 still is provided with irritates liquid mouth 2, and piston rod 4 still is connected with electrode line 1, and the inside of piston 7 still is provided with coil 6.

Fig. 3 is a schematic diagram showing the arrangement of the orthotropic steel bridge deck damping method based on the leakage-proof magnetorheological damper. The orthotropic steel bridge deck-leakage-proof magnetorheological damper vibration attenuation system consists of an orthotropic steel bridge deck 8, a leakage-proof magnetorheological damper 12, a displacement sensor 13, a dSPACE real-time simulation system 9, a current source 11 and a computer 10.

Referring to fig. 1, a schematic flow chart of the vibration damping method of orthotropic steel bridge deck based on the anti-leakage magnetorheological damper of the invention is shown,

the specific implementation steps are as follows:

the method comprises the following steps: and analyzing the stress characteristics of the orthotropic steel bridge deck, and determining the maximum deformation position of the bridge deck as the mounting position of the anti-leakage magneto-rheological damper.

Step two: and establishing a novel mechanical model of the anti-leakage magnetorheological damper.

The perimeter of the cross section of the piston of the leakage-proof magneto-rheological damper is b, the effective length of the piston part is l, and the effective area of the piston is A_pU is the relative displacement of the piston, v₀Is the piston velocity, h is the damper gap width, τ_yShear yield strength of the magnetorheological material, eta is the dynamic viscosity of the magnetorheological material, Q₀In order to not consider the flow of the magnetorheological fluid passing through the gap when the viscoelastic material is warped and deformed, n is the number of the viscoelastic material blocks, d is the thickness of the viscoelastic material, A_sIs equivalent planar area of viscoelastic material, G₁、G₂Storage and loss moduli, η, for viscoelastic materials₂The loss factor of the viscoelastic material, t is time, and ω is the excitation frequency.

1) Firstly, establishing a mechanical model of a conventional magnetorheological damper:

2) the fluid pressure in the damper cavity can cause the buckling deformation of the viscoelastic material, so that the gap flow of the magnetorheological fluid is influenced, and the gap pressure gradient is further influenced. In order to consider the influence of the deformation of the viscoelastic material on the gap pressure gradient, a pressure gradient correction coefficient alpha (t) is introduced to obtain the damping force generated by the magnetorheological fluid:

F_ΔV＝α(t)F_sv；

3) the viscoelastic material is an energy-consuming damping material, and can change the damping and the rigidity of the device after being used as a sealing device, and the calculation formula of the damping force is as follows:

the expression of modulus versus loss factor according to the standard linear solid model is as follows:

wherein q is₀、q₁、p₁Is a coefficient related to the properties of the viscoelastic material.

4) And (3) integrating a viscoelastic material damping force calculation model and a common magnetorheological damper mechanical model to establish an anti-leakage magnetorheological damper mechanical model:

F＝α(t)F_sv+F_v；

5) according to the performance test, the pressure gradient correction coefficient also changes along with the change of the current, and according to the calculation result under each current, the fitting form of the correction coefficient under the simple harmonic load is as follows:

α(I,t)＝m(I)-n(I)|cos(ωt)|；

where m (I), n (I) are parameters relating to the current, determined experimentally.

6) After two current parameters in the correction coefficient are obtained, a complete mechanical model of the designed damper can be obtained:

F＝[m(I)-n(I)|cos(ωt)|]F_sv+F_v。

step three: and solving a coupled motion equation of the anti-leakage magneto-rheological damper and the orthotropic steel bridge deck structure, and establishing a relation between the orthotropic steel bridge deck vibration response and the damping force.

Step four: writing a fuzzy PID control algorithm, converting a physical space signal obtained by a displacement sensor into a modal coordinate signal, outputting a control signal through a dSPACE real-time simulation system, and controlling the current source to output current to act on the leakage-proof magneto-rheological damper so that the leakage-proof magneto-rheological damper exerts force to resist external load, thereby playing a role in vibration reduction.

When the orthotropic steel bridge deck is under the action of external load, the vibration damping system can generate damping force by applying current to the leakage-proof magnetorheological damper, so that the deformation of the orthotropic steel bridge deck is reduced in real time, and the effect of reducing the amplitude is achieved.

Finally, it should be noted that: the above embodiments are only used to illustrate the technical solution of the present invention, and not to limit the same; while the invention has been described in detail and with reference to the foregoing embodiments, it will be understood by those skilled in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some or all of the technical features may be equivalently replaced; and the modifications or the substitutions do not make the essence of the corresponding technical solutions depart from the scope of the technical solutions of the embodiments of the present invention.