A tuned mass damper device suitable for use during construction of a bridge tower in a self-standing state

Abstract

The present application relates to the technical field of bridge engineering vibration control, and particularly relates to a kind of inerter-tuned damper device suitable for bridge tower self-standing state during construction. The device is horizontally installed on the top of the bridge tower or the cross brace position, including mass, spring assembly, inerter-damping assembly, guide rail assembly and outer frame assembly. When the bridge tower vibrates, the mass moves relative to the bridge tower, driving the spring assembly and the inerter-damping assembly to work cooperatively; part of the damping medium liquid passes through the piston damping hole to form damping effect, and the other part drives the inerter drive wheel to rotate through the inerter guide pipe to form inerter effect. By adjusting the flow area of the flow regulating valve on the inerter guide pipe, the flow distribution of the two branches can be changed to adapt to the dynamic state of the bridge tower at different construction heights. The equivalent inerter formed can replace part of the physical counterweight, reducing the additional mass requirement. The device can reduce the vibration response of the bridge tower self-standing structure under the action of wind load and other external forces, and improve the safety and constructability of the bridge construction.

Description

Technical Field

[0001] This invention relates to the field of bridge engineering technology, and in particular to an inertial-capacitive tuned damper device suitable for the self-supporting state of bridge towers during construction. Background Technology

[0002] During the construction of long-span bridges, the bridge towers typically increase in height gradually as construction progresses, with some towers reaching heights of several hundred meters. Before the main beams, stay cables, and other components are fully constrained, the bridge towers are often in a self-supporting state. Due to the large height-to-width ratio of the bridge towers, and the fact that the boundary conditions and structural system are not yet fully formed during the construction phase, their stiffness and structural damping in the vibration-prone directions are relatively small, making them prone to vibration under dynamic loads such as wind loads. The main vibration forms include vortex-induced vibration and buffeting. These vibrations can affect construction quality and installation accuracy, adversely impact the safety of construction personnel and equipment, and in severe cases, even affect the construction schedule.

[0003] To reduce vibration response during bridge tower construction, vibration reduction devices such as viscous dampers, tuned mass dampers (TMDs), or tuned liquid dampers (TLDs) are commonly used in engineering projects. Viscous dampers primarily reduce vibration by dissipating vibrational energy, while TMDs and TLDs reduce structural vibration through tuning and energy dissipation. However, the vibration reduction effect of TMDs and TLDs is quite sensitive to frequency matching. As the bridge tower's construction height, structural mass, stiffness, and boundary conditions change, the bridge tower's dynamic characteristics also change. Tuned vibration reduction devices with fixed parameters are prone to detuning, thus requiring adjustments to the device parameters according to the construction stage. Furthermore, to achieve better vibration reduction results, traditional TMDs and TLDs typically require the addition of a certain amount of additional mass or liquid mass, thereby increasing the additional load during bridge tower construction and the difficulty of device installation.

[0004] The inertial capacitance mechanism can utilize the rotational inertia of rotating components to form equivalent inertial capacitance, providing a means to reduce the physical added mass required for tuned damping devices. However, the dynamic characteristics of bridge towers vary considerably during construction. Further improvements are needed to integrate inertial capacitance and damping effects into a single device and to adjust the equivalent inertial capacitance and equivalent damping characteristics according to different construction stages. Therefore, it is necessary to provide an inertial capacitance-tuned damper device with less added mass, a compact structure, and the ability to adapt to the changes in dynamic characteristics during different construction stages of bridge towers. Summary of the Invention

[0005] To address the aforementioned problems, the present invention aims to provide an inertial capacitance-tuned damper device suitable for the self-supporting state of bridge towers during construction.

[0006] This device is horizontally installed at the top of the bridge tower or on the cross brace to suppress vibrations during the tower's construction. When the tower vibrates, the mass within the device moves relative to the tower, driving the spring assembly and the inertial-capacitance-damping assembly to work together. The damping medium liquid within the inertial-capacitance-damping assembly flows through two parallel branches: one part passes through the damping orifice on the piston, creating damping, while the other part drives the inertial-capacitance drive wheel through the inertial-capacitance conduit, forming equivalent inertial capacity. By changing the flow area of ​​the flow regulating valve, the flow distribution between the two branches can be adjusted, thereby altering the equivalent inertial capacity and equivalent damping characteristics of the inertial-capacitance-damping assembly to adapt to the dynamic state of the tower at different construction heights. The resulting equivalent inertial capacity can replace part of the physical counterweight, reducing the additional mass requirement of the device.

[0007] The objective of this invention can be achieved through the following technical solutions: This invention provides an inertial-capacitance-tuned damper device suitable for the self-supporting state of bridge towers during construction. When in use, it is horizontally installed on the top of the construction bridge tower or the upper surface of the cross brace, and includes a mass body, an inertial-capacitance-damping assembly, a spring assembly, an outer frame assembly, and a guide rail assembly.

[0008] The outer frame assembly is fixedly connected to the top of the bridge tower or the upper surface of the cross brace, and moves synchronously with the bridge tower or cross brace; the mass body is disposed inside the outer frame assembly and is movably connected to the outer frame assembly through the guide rail assembly; an inertial-capacitance damping assembly and a spring assembly are provided on opposite sides of the mass body, one end of the inertial-capacitance damping assembly and the spring assembly is connected to the mass body, and the other end is connected to the outer frame assembly through a pad.

[0009] The mass body provides the mass required for tuning motion; the inertial-damping assembly provides equivalent inertial capacity and damping force; the spring assembly provides restoring force and tuning stiffness; the outer frame assembly supports the various components of the device and transmits the tuning force to the bridge tower or cross brace; the guide rail assembly supports the mass body and restricts the direction of motion of the mass body.

[0010] The inertial-capacitive damping assembly includes an inertial-capacitive branch and a damping branch connected in parallel to the working chambers on both sides of the piston. The damping branch is used to generate a damping effect, and the inertial-capacitive branch is used to generate an equivalent inertial capacity. A flow regulating valve for changing the flow rate of the branch is provided on the inertial-capacitive branch.

[0011] In one embodiment of the invention, the outer frame assembly includes a base plate fixedly connected to the top of the bridge tower or the upper surface of the cross brace, and side plates fixedly disposed at both ends of the base plate and perpendicular to the base plate. The side plates are used to bear the tuning force and transmit it to the base plate, and the base plate is used to support the weight of the device and transmit the tuning force to the bridge tower or cross brace.

[0012] In one embodiment of the present invention, the pad is disposed between the inertial-capacitance damping assembly, the spring assembly and the side plate, for connecting the inertial-capacitance damping assembly and the spring assembly, and for aligning the working axes of the two with the direction of motion of the mass body.

[0013] In one embodiment of the present invention, the motion direction of the mass body, the axis of the inertial-capacitive damping assembly, and the extension and retraction direction of the spring assembly are all set in the horizontal direction and are consistent with the target vibration direction of the bridge tower or cross brace.

[0014] In one embodiment of the invention, the spring assembly includes two or more sets of springs arranged in parallel, each spring being symmetrically arranged along the central axis of the inertial-capacitive damping assembly. The spring assembly can be selected or replaced with spring sets of different stiffnesses depending on the bridge tower construction stage, thereby expanding the device's adaptability to changes in the bridge tower's dynamic characteristics.

[0015] In one embodiment of the present invention, the mass body includes a mass block, a guide wheel disposed at the bottom of the mass block, and a hinge lug disposed on the side of the mass block. The mass block moves along a guide rail assembly via the guide wheel and is connected to an inertial-capacitive-damping assembly via the hinge lug.

[0016] In one embodiment of the present invention, the guide rail assembly includes a guide rail that cooperates with a guide wheel, and a limiting block disposed along the length of the guide rail. The guide rail is used to support the mass block and restrict its direction of movement, and the limiting block is used to limit the displacement amplitude of the mass block to prevent the mass block from exceeding a set maximum displacement range.

[0017] In one embodiment of the present invention, the mass block is a solid mass block, or a mass block that is internally sealed and filled with a liquid medium.

[0018] In one embodiment of the present invention, the inertial-capacitive damping assembly includes a hollow cylinder filled with a damping medium liquid, a piston rod extending into the cylinder, and a piston fixed to the piston rod and perpendicular to the piston rod axis. The piston divides the cylinder into two working chambers, and the piston is provided with a plurality of damping holes that allow the damping medium liquid to pass through, the damping holes forming damping branches.

[0019] The two ends of the inertial volume guide tube are respectively connected to the working chambers on both sides of the piston. The inertial volume guide tube is provided with an inertial volume drive wheel and a flow regulating valve. The inertial volume guide tube, the inertial volume drive wheel, and the flow regulating valve together constitute an inertial volume branch. In a preferred embodiment, the piston is fixed to the middle of the piston rod, the inertial volume drive wheel is located in the middle of the inertial volume guide tube, and the flow regulating valve is located at one end of the inertial volume guide tube.

[0020] In one embodiment of the present invention, the piston rod is capable of moving horizontally along the cylinder axis, and the end of the piston rod extending out of the cylinder is connected to the mass block via a hinge.

[0021] In one embodiment of the present invention, the damping orifice is a circular orifice. When the damping medium liquid flows through the damping orifice, it forms a linear viscous damping effect. The number, diameter, and equivalent length of the damping orifice can be determined according to the required damping parameters.

[0022] In one embodiment of the invention, the inertial displacement drive wheel is driven to rotate by a damping medium liquid flowing through the inertial displacement conduit, and the rotational inertia of the inertial displacement drive wheel is converted into an equivalent inertial displacement acting on the piston rod. The size and rotational inertia of the inertial displacement drive wheel can be determined according to the required equivalent inertial displacement parameters.

[0023] In one embodiment of the present invention, the flow regulating valve is capable of adjusting its flow area between a fully closed state and a fully open state. The flow area increases with the increase of the valve opening, and the flow rate of the damping medium liquid flowing through the inertial volume branch is adjusted by the change in the flow area. When the flow regulating valve is fully closed, the inertial volume branch is closed; when the flow regulating valve is fully open, its flow area reaches its maximum value.

[0024] In one embodiment of the present invention, the type and dynamic viscosity of the damping medium liquid can be selected according to the required damping parameters. By comprehensively setting the dynamic viscosity of the damping medium liquid, the size of the damping orifice, the moment of inertia of the inertial drive wheel, and the maximum flow area of ​​the flow regulating valve, different combinations of equivalent inertial capacity and equivalent damping parameters can be obtained.

[0025] Compared with the prior art, the present invention has the following beneficial effects: (1) The present invention sets up parallel inertial capacity branch and damping branch in the same inertial capacity-damping component, uses the rotational inertia of the inertial capacity drive wheel to form an equivalent inertial capacity, and uses the damping medium liquid flowing through the piston damping hole to form a linear viscous damping effect, which can provide inertial capacity and damping effect in the same component at the same time, reducing the structural complexity caused by setting inertial capacity and damping device separately.

[0026] (2) The present invention utilizes the rotational inertia of the inertia drive wheel to form an equivalent inertia, which can replace part of the physical counterweight, reduce the additional mass required by the device, and reduce the additional load and installation difficulty of the device.

[0027] (3) The present invention adjusts the flow rate of the inertial capacity branch and the flow distribution between the two branches by changing the flow area of ​​the flow regulating valve, thereby changing the equivalent inertial capacity and equivalent damping characteristics of the inertial capacity-damping component and improving the device's adaptability to changes in dynamic characteristics during the bridge tower construction stage.

[0028] (4) The present invention can select spring groups with different stiffnesses according to the construction stage of the bridge tower and use the spring groups in conjunction with the flow regulating valve, thereby expanding the range of bridge tower dynamic characteristics that can be covered by a single mass body and inertial capacity-damping components, and reducing the number of times the device is replaced.

[0029] (5) The inertial-capacitive damping component provided by the present invention can drain the damping medium liquid when it is not in operation, so as to reduce the weight of the device and facilitate storage and transportation; when the bridge tower vibrates and requires emergency vibration reduction, the damping medium liquid can be quickly filled into the inertial-capacitive damping component and the device can be installed on the top of the bridge tower or at the cross brace position to achieve vibration control.

[0030] (6) The present invention can select the type and dynamic viscosity of the damping medium liquid according to the design requirements, and adjust the size of the damping orifice, the moment of inertia of the inertia drive wheel and the maximum flow area of ​​the flow regulating valve, so as to form different combinations of equivalent inertia and equivalent damping parameters.

[0031] (7) The inertial capacitance-damping system of the present invention is easy to install, and the maintenance, replacement and upkeep process is convenient. Each component can be directly disassembled, making it convenient to inspect or replace internal parts. Attached Figure Description

[0032] Figure 1 This is a schematic diagram of the inertial capacitance-tuned damper device of the present invention; Figure 2 This is a schematic diagram showing the location of the inertial capacitance-tuned damper device of the present invention on the construction bridge tower; Figure 3 This is a simplified mechanical model of the inertial-capacitive tuned damper device of the present invention; Figure 4 The curves showing the variation of the normalized equivalent inertial volume coefficient with frequency under different flow control valve openings; Figure 5 The curves showing the variation of the normalized equivalent damping coefficient with frequency under different flow control valve openings; Figure 6 When the main structure frequency changes, the peak dynamic amplification coefficient comparison curve of the inertial capacitance-tuned damper device of the present invention and the traditional tuned damper is shown. Figure 7 This is a curve showing the change in the optimal flow regulating valve opening of the inertial capacitance-tuned damper device of the present invention with the frequency of the main structure.

[0033] Reference numerals: 1. Mass body; 11. Mass block; 12. Guide wheel; 13. Hinge; 2. Inertial-capacitance damping assembly; 21. Cylinder; 22. Damping medium liquid; 23. Piston rod; 24. Piston; 25. Inertial-capacitance conduit; 26. Inertial-capacitance drive wheel; 27. Flow regulating valve; 3. Spring assembly; 31. Spring; 4. Outer frame assembly; 41. Base plate; 42. Side plate; 5. Guide rail assembly; 51. Guide rail; 52. Limiting block; 6. Pad; A. Inertial capacitance-tuned damper device; B. Bridge tower. Detailed Implementation

[0034] The present invention will now be described in detail with reference to the accompanying drawings and specific embodiments.

[0035] In the description of this invention, unless otherwise explicitly specified and limited, the terms "connected," "linked," and "fixed" should be interpreted broadly. For example, they can refer to a fixed connection, a detachable connection, or an integral part; they can refer to a mechanical connection or an electrical connection; they can refer to a direct connection or an indirect connection through an intermediate medium; they can refer to the internal communication of two components or the interaction between two components. Those skilled in the art can understand the specific meaning of the above terms in this invention based on the specific circumstances.

[0036] In this invention, unless otherwise explicitly specified and limited, "above" or "below" the second feature can include direct contact between the first and second features, or contact between the first and second features through another feature between them. Furthermore, "above," "over," and "on top" of the second feature includes the first feature directly above or diagonally above the second feature, or simply indicates that the first feature is at a higher horizontal level than the second feature. "Below," "below," and "under" the second feature includes the first feature directly below or diagonally below the second feature, or simply indicates that the first feature is at a lower horizontal level than the second feature.

[0037] In the description of this embodiment, the terms "upper," "lower," "left," and "right," etc., refer to the orientation or positional relationship shown in the accompanying drawings. They are used only for ease of description and simplification of operation, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation. Therefore, they should not be construed as limitations on the present invention. In addition, the terms "first" and "second" are used only for distinction in description and have no special meaning.

[0038] In the following embodiments, unless otherwise specified, the structures or components used are conventional structures or components in the art, as long as they can achieve the corresponding functions.

[0039] Example 1 This embodiment provides an inertial capacitance-tuned damper device for controlling the self-supporting vibration of bridge towers during the construction phase. For example... Figure 1 and Figure 2 As shown, the inertial-capacitance-tuned damper device A is horizontally installed on the top of the construction bridge tower B or the upper surface of the cross brace, and includes a mass body 1, an inertial-capacitance-damping assembly 2, a spring assembly 3, an outer frame assembly 4, and a guide rail assembly 5.

[0040] The outer frame assembly 4 is fixedly mounted on the top of the bridge tower B or the upper surface of the cross brace, and the working directions of the internal mass body 1, inertial capacitance-damping assembly 2, and spring assembly 3 are consistent with the target vibration direction of the bridge tower B. When the bridge tower B vibrates, the outer frame assembly 4 moves together with the bridge tower B or the cross brace, and there is no relative displacement between the two.

[0041] The mass 1 is disposed inside the outer frame assembly 4 and is movably connected to the outer frame assembly 4 via the guide rail assembly 5. An inertial-capacitance damping assembly 2 and a spring assembly 3 are disposed on opposite sides of the mass 1; one end of the inertial-capacitance damping assembly 2 and the spring assembly 3 is connected to the mass 1, and the other end is connected to the side plate 42 of the outer frame assembly 4 via a pad 6.

[0042] Among them, mass body 1 is used to provide the physical mass required for tuning vibration; inertial-capacitive-damping assembly 2 is used to provide inertial and damping effects; spring assembly 3 is used to provide tuning stiffness; outer frame assembly 4 is used to support mass body 1, inertial-capacitive-damping assembly 2 and spring assembly 3, and transmit the tuning force generated by the device to bridge tower B; guide rail assembly 5 is used to support mass body 1 and limit its direction of movement.

[0043] Furthermore, the outer frame assembly 4 includes a base plate 41 fixedly connected to the top of the bridge tower B or the cross brace, and side plates 42 fixedly disposed at both ends of the base plate 41, the side plates 42 being perpendicular to the base plate 41. During operation, the side plates 42 bear the tuning force transmitted by the inertial-capacitive damping assembly 2 and the spring assembly 3, and transmit this force to the base plate 41; the base plate 41 supports the entire assembly and further transmits the tuning force to the bridge tower B or the cross brace.

[0044] Furthermore, the mass body 1, the inertial-capacitance damping assembly 2, and the spring assembly 3 move horizontally along the same target vibration direction of the bridge tower B during operation.

[0045] Furthermore, the spring assembly 3 includes two or more sets of springs 31 arranged in parallel, each spring 31 being symmetrically arranged along the central axis of the inertial-capacitive damping assembly 2. The spring assembly 3 can be replaced with spring sets of different stiffnesses according to the dynamic characteristics of different construction stages of bridge tower B.

[0046] Furthermore, the mass body 1 includes a mass block 11, a guide wheel 12 disposed at the bottom of the mass block 11, and a hinge lug 13 disposed on the side of the mass block 11. The mass block 11 moves along the guide rail assembly 5 via the guide wheel 12 and is connected to the inertial-capacitive damping assembly 2 via the hinge lug 13. The mass block 11 can be a solid mass block or a closed mass block filled with a liquid medium.

[0047] Furthermore, the guide rail assembly 5 includes a guide rail 51 that cooperates with the guide wheel 12, and a limiting block 52 disposed along the length of the guide rail 51. The guide rail 51 is used to support the weight of the mass block 11 and to make the displacement direction of the mass block 11 consistent with the target vibration direction of the bridge tower B; the limiting block 52 is used to limit the maximum displacement of the mass block 11 and prevent the mass block 11 from exceeding the set movement range.

[0048] Furthermore, the inertial-capacitance damping assembly 2 includes a hollow cylinder 21 filled with damping medium liquid 22, a piston rod 23 extending into the cylinder 21, a piston 24 fixed on the piston rod 23, an inertial-capacitance conduit 25 connecting the working chambers on both sides of the piston 24, an inertial-capacitance drive wheel 26 disposed on the inertial-capacitance conduit 25, and a flow regulating valve 27.

[0049] Piston 24 divides the interior of cylinder 21 into two working chambers. Piston 24 has several circular damping holes that connect the working chambers on both sides of piston 24, forming a damping branch. The two ends of inertial volume guide 25 are connected to the working chambers on both sides of piston 24, and together with inertial volume drive wheel 26 and flow regulating valve 27, form an inertial volume branch. The damping branch and the inertial volume branch are connected in parallel, and both ends of the two branches bear the same pressure difference.

[0050] Furthermore, the piston rod 23 can move horizontally along the axial direction of the cylinder 21, and the end of the piston rod 23 away from the cylinder 21 is connected to the mass block 11 through the hinge 13.

[0051] Furthermore, when the damping medium liquid 22 moves in laminar flow within the circular damping orifice of the piston 24, the damping orifice forms a linear liquid resistance to the liquid, thereby generating a linear viscous damping effect.

[0052] Furthermore, when the damping medium liquid 22 flows through the inertial volume conduit 25, the liquid drives the inertial volume drive wheel 26 to rotate, and the rotational inertia of the inertial volume drive wheel 26 forms an equivalent inertial volume acting on the piston rod 23 through the conversion relationship between flow rate and rotational speed.

[0053] Furthermore, the flow regulating valve 27 is disposed in the inertial volume branch and its flow area can be adjusted between a fully closed state and a fully open state. When the flow area of ​​the flow regulating valve 27 increases, the flow rate allowed through the inertial volume branch increases; when the flow area decreases, the flow rate of the inertial volume branch is restricted; when the flow regulating valve 27 is fully closed, the inertial volume branch stops working.

[0054] When bridge tower B vibrates horizontally, the outer frame assembly 4 moves with bridge tower B, and the mass block 11 is displaced relative to the outer frame assembly 4, driving the piston rod 23 and piston 24 to move along the axis of cylinder 21. The pressure difference generated by the movement of piston 24 drives part of the damping medium liquid 22 through the damping hole on piston 24 and dissipates vibration energy, while another part of the damping medium liquid 22 flows through the inertial capacitance conduit 25 and drives the inertial capacitance drive wheel 26 to rotate, thus forming an inertial capacitance effect. By adjusting the flow area of ​​the flow regulating valve 27, the flow distribution of the damping medium liquid 22 between the two branches can be changed, thereby changing the equivalent inertial capacitance coefficient and equivalent damping coefficient of the inertial capacitance-damping assembly 2 at the corresponding vibration frequency.

[0055] Furthermore, the pad 6 is disposed between the inertial-capacitance damping assembly 2, the spring assembly 3 and the side plate 42, for connecting the inertial-capacitance damping assembly 2, the spring assembly 3 and the side plate 42, and making the working axis of the inertial-capacitance damping assembly 2 and the extension and retraction direction of the spring assembly 3 consistent with the motion direction of the mass body 1.

[0056] The damping medium liquid 22 can be selected from liquids with different dynamic viscosities according to design requirements. The inertial-capacitive damping component 2 can discharge the damping medium liquid 22 when not in operation to reduce the weight of the device during storage and transportation; when needed, the damping medium liquid 22 can be refilled and the gas inside the component can be discharged.

[0057] In this embodiment, the inertial-capacitive tuned damper device A is typically designed for single-order modes, providing significant additional damping for those modes. Parameters can be adjusted promptly according to actual needs under different construction conditions of bridge tower B. When the vibration control requirements of the main tower are high, multiple inertial-capacitive tuned damper devices can be deployed in parallel to improve vibration control effectiveness.

[0058] Furthermore, to illustrate the hydraulic working principle of the inertial-capacitive damping assembly 2, let the displacement of the mass block 11 relative to the outer frame assembly 4 be... The effective working area of ​​piston 24 is Under ideal conditions where the damping medium liquid 22 is incompressible and leakage is negligible, the total flow rate generated by the movement of piston 24 is... for: Let the inertial branch flow rate be The damped branch flow rate is Based on the continuity condition of flow, the total flow satisfies: Define the area opening degree of the flow regulating valve 27 as: The current flow area of ​​the valve is The maximum flow area when fully open is .when At that time, there were: in, This indicates that the flow control valve 27 is fully open. A value approaching 0 indicates that the flow control valve 27 is approaching closure; It is treated separately as a boundary condition for the complete closure of the inertial duct branch.

[0059] Let the dynamic viscosity of the damping medium liquid 22 be... The length of the internal circular equivalent flow channel of the flow regulating valve 27 is According to the laminar flow model of a circular long flow channel, the current linear liquid resistance of the valve is... and the reference linear fluid resistance when fully open They are respectively: The additional liquid resistance caused by the incomplete opening of the flow regulating valve 27 to the flow rate of the inertial volume branch is defined as... ,but: Therefore, Additional liquid resistance It is 0; with Reducing the valve's flow area decreases, increasing additional hydraulic resistance, and further restricting the flow rate of the inertial volume branch. The above formula is not applicable. ;when At that time, the branch circuit should be completely shut down directly according to the usual procedure.

[0060] The model uses the valve flow area As a fundamental parameter for controlling the flow rate of the inertial-capacitance branch, additional hydraulic resistance This is an equivalent representation of the change in flow area. Here, the flow area of ​​the flow control valve 27 is primarily considered in relation to the flow rate of the inertial volume branch. The limiting effect.

[0061] After taking into account the additional hydraulic resistance caused by the incomplete opening of the flow control valve 27, the total linear hydraulic resistance of the inertial volume branch is... for: Among them, the fixed linear hydraulic resistance of the inertial flow branch under the reference state of fully open valve is: When the fixed fluid resistance of the inertial-capacitive branch is relatively small compared to the inertial effect, it can be approximated as... .

[0062] If local secondary head loss is ignored, the pressure difference between the two ends of the inertial flow branch is negligible. It can generally be expressed as: in, The hydraulic inertia coefficient of the inertial branch is denoted as .

[0063] Let the rotation angle of the inertial drive wheel 26 be... The equivalent liquid volume passing through each revolution of the inertial drive wheel 26 is... The conversion coefficient between flow rate and inertial drive wheel speed. for:

[0064] Let the density of the damping medium liquid 22 be... The moment of inertia of the inertial drive wheel 26 about its axis is The hydraulic inertia coefficient of the inertial branch is... for: Let the equivalent length of the inertial conduit 25 and its connecting section be... Effective circulation area is In the formula, This represents the translational inertia contribution of the liquid column within the inertial conduit 25. This represents the rotational inertia contribution of the inertial drive wheel 26. When the translational inertia of the liquid column is much smaller than the rotational inertia of the inertial drive wheel 26, it can be approximated as:

[0065] Let the number of circular damping holes on piston 24 be... The diameter of a single damping orifice is The equivalent length of the damping orifice is Under the condition that the damping medium liquid 22 undergoes laminar flow within the damping orifice, the linear fluid resistance of the damping branch is... for: The pressure difference between the two ends of the damping branch satisfies: Since the inertial capacitive branch and the damped branch are connected in parallel, the pressure difference between the two ends of the two branches is the same. Combining this with the flow continuity condition, the flow control equation for the inertial capacitive branch can be obtained: therefore, and The motion state of piston 24, the hydraulic resistance and hydraulic inertia parameters of the two branches, and the area opening degree of flow regulating valve 27 are all determined together.

[0066] At the target circular frequency The following simple harmonic steady-state analysis is performed, and the following definition is made: Inertial-capacitive damping component 2 at the target circular frequency Equivalent inertia coefficient under and equivalent damping coefficient They are respectively: in, Characterizing the ability of the inertial-capacitive damping component 2 to store and release energy on average over one vibration cycle. This characterizes the ability of the damping medium liquid 22 to dissipate vibrational energy on average over one vibration cycle. Both are affected by the valve area opening degree. and target circular frequency The combined effects of these factors.

[0067] when At that time, the flow regulating valve 27 is completely closed, and the inertial flow rate of the branch is... At this point, the original structure degenerates into a normal TMD structure, which satisfies:

[0068] Furthermore, such as Figure 3 As shown, with the outer frame component 4 as the motion reference, the inertial capacitance-tuned damper device is simplified to an additional single-degree-of-freedom system. The mass of mass block 11 is... The equivalent stiffness of spring assembly 3 is , Figure 3 In and These represent the inertial-capacitive-damped component 2 at the target circular frequency. Equivalent inertia coefficient under and equivalent damping coefficient The displacement of mass block 11 relative to outer frame component 4 is When the target vibration mode of the main structure is a single degree of freedom, let the equivalent mass, natural damping coefficient, and equivalent stiffness of the main structure be respectively... , and The displacement of the main structure is External load is The coupled dynamic equations of the main structure and the inertial-capacitive tuned damper device are then: The above equation can be transformed into matrix form as follows: When the dynamic characteristics of the main structure change, the current target circular frequency can be substituted into... and The expression is obtained, and the equivalent parameters of the inertial-capacitance damping component 2 are changed by adjusting the area opening degree of the flow regulating valve 27.

[0069] Furthermore, to illustrate the influence of the area opening degree of the flow control valve 27 and the target frequency on the hydraulic equivalent parameters, normalization analysis is performed on the above parameters. The normalized equivalent inertial coefficient is defined. Normalized equivalent damping coefficient And the hydraulic normalized circular frequency Ω are respectively: Further define the reference fluid resistance ratio of the inertial volume branch valve. That is, when the valve is fully open, the ratio of the valve's theoretical reference hydraulic resistance to the damping branch hydraulic resistance: This parameter analysis takes And take the area opening degree of the flow regulating valve 27 respectively. The values ​​are 0, 0.2, 0.4, 0.6, 0.8, and 1.0. In Within the range, the normalized equivalent inertia coefficient and normalized equivalent damping coefficient for different area opening degrees were calculated, and the results are as follows: Figure 4 and Figure 5 As shown.

[0070] Depend on Figure 4 and Figure 5 It can be seen that when At this time, the inertial capacitance branch is completely closed, the normalized equivalent inertial capacitance coefficient is 0, and the normalized equivalent damping coefficient is 1. When When the value is greater than 0, increasing the area opening degree of the flow regulating valve 27 can increase the participation of the inertial capacity branch. For a fixed area opening degree, the normalized equivalent inertial capacity coefficient increases with... The normalized equivalent damping coefficient generally decreases as it increases. The fact that the equivalent inertia coefficient and the equivalent damping coefficient increase together indicates that the changes in the valve opening degree and the target frequency are jointly determined by the valve opening degree and the target frequency.

[0071] Furthermore, to compare the control effects of the inertial capacitance-tuned damper device and the traditional tuned damper when the natural frequency of the main structure changes, a normalized structural frequency is defined. Additional mass ratio Reference inertia ratio Normalized spring stiffness and the reference hydraulic time scale : in, The main structure's current inherent circular frequency, The main structural reference natural angular frequency. Based on the static displacement of the main structure, the dynamic amplification factor (DMF) is defined as: in, The complex amplitude of the displacement of the main structure. The amplitude of the harmonic external load.

[0072] Pick , , , =0.10, and take the baseline area opening degree. .exist When determining the normalized spring stiffness After completing the baseline parameter design, the mass of mass block 11 and the stiffness of spring assembly 3 are kept constant; the inertial-capacitance-tuned damper device is used in different... The area opening degree of the lower flow regulating valve 27 is adjusted for each... The external load frequency was scanned and the corresponding peak dynamic amplification factor was obtained. The analysis range was [missing information]. The results were compared with those of a traditional TMD under the same working conditions, and the calculation results are as follows: Figure 6 and Figure 7 As shown.

[0073] Depend on Figure 6 It can be seen that, within the analyzed main structure frequency range, the peak dynamic amplification factor of the inertial capacitance-tuned damper device is generally lower than that of a traditional tuned damper with the same mass and spring stiffness. From Figure 7 It can be seen that the optimal flow control valve opening changes with the natural frequency of the main structure, and also with... The overall trend is decreasing; the low-frequency side shows a section where the valve is fully open, indicating that the inertial capacitance branch has reached its maximum physical participation level.

[0074] The above results show that, with the added mass and spring stiffness remaining unchanged, by adjusting the flow area of ​​the flow regulating valve 27, the degree of participation of the inertial capacitance branch and the equivalent inertial capacitance coefficient and equivalent damping coefficient of the inertial capacitance-damping component 2 can be changed, ensuring that the main structure maintains a good control effect when the natural frequency changes, and reducing the physical added mass required to achieve the same inertial action.

[0075] Example 2 This embodiment illustrates the adaptability of the inertial capacitance-tuned damper device of the present invention to changes in the dynamic characteristics of bridge towers through a construction phase example. A double-tower, single-cable-stayed prestressed concrete cable-stayed bridge is selected for calculation. The main bridge is approximately 668 m long, with a span arrangement of approximately 165 m + 338 m + 165 m; the main girder is a prestressed concrete box girder, approximately 26.8 m wide and 3.48 m high.

[0076] The bridge tower is a single-column variable cross-section concrete box tower, with a main pier height of approximately 47.6 m, a tower column height of approximately 76.5 m, and a tower top elevation of approximately 128 m. The calculation model takes into account the influence of the bridge tower, pier, main beam zero block, and construction equipment, and considers the internal and external formwork with a mass of approximately 25 t and the construction support with a mass of approximately 11 t.

[0077] When the tower construction height reached approximately 51 m, the inertial capacitance-tuned damper device of this invention was installed. Subsequently, five construction stages were selected at approximately 6 m height intervals, with the corresponding tower construction heights for each stage being 51 m, 57 m, 63 m, 69 m, and 75 m, respectively.

[0078] Let the first-order natural circular frequency of the bridge tower at each construction stage be . Equivalent quality is The equivalent stiffness is The structural damping coefficient is The inherent damping ratio of the structure is Then we have: In this embodiment, the inherent damping ratio of the bridge tower structure is taken. The equivalent stiffness was calculated based on the first-order natural circular frequency and equivalent mass of each construction stage, and the results are shown in Table 1.

[0079] Table 1. Dynamic parameters of bridge towers at different construction stages In this embodiment, the mass of mass block 11 is taken as... The additional mass ratio corresponding to the five construction stages is approximately 1% of the equivalent modal mass of the bridge tower.

[0080] The same mass block 11 and the same inertial-capacitance damping assembly 2 were used in all five construction phases. The reference inertial-capacitance dimension of the inertial-capacitance damping assembly 2 is... for: Hydraulic time scale for: Reference Damping Scale for: The reference liquid resistance ratio of the flow control valve 27 is taken as follows The fixed linear hydraulic resistance of the inertial volume duct 25 and its connecting sections is ignored in the calculation, and the secondary head loss caused by local contraction and expansion at the location of the flow regulating valve 27 is also ignored.

[0081] Due to the wide frequency range across the five construction phases, a single set of spring stiffness was insufficient for optimal control. Therefore, a two-set spring stiffness design was implemented. Phases 1 and 2 utilize the first set of springs, with the following spring stiffness: The second set of springs is used in stages 3 to 5, and the spring stiffness is: The mass block 11 and the inertial capacitance-damping assembly 2 remain unchanged throughout the five construction stages, with the spring assembly 3 being replaced only once when transitioning from stage 2 to stage 3. The construction stages covered by the same spring assembly are adapted by adjusting the area opening of the flow regulating valve 27. The device parameters used in each construction stage are shown in Table 2.

[0082] Table 2 Equipment parameters at each construction stage of the bridge tower To compare the control effect of the device of the present invention with that of a traditional tuned damper, a traditional tuned damper with the same mass block, spring stiffness and reference damping parameters was set as a comparison condition. The calculation results are shown in Table 3.

[0083] Table 3 Additional damping ratio after installing two types of damping devices As shown in Table 3, compared with traditional tuned dampers with the same mass block, spring stiffness and reference damping parameters, the device of the present invention provides an equivalent additional damping ratio of 16.15% to 122.30% in the five construction stages.

[0084] The above results show that, with the mass block 11 and the inertial capacity-damping assembly 2 remaining unchanged, the dynamic characteristics can be adapted to the range of 51 m to 75 m of tower construction height by replacing the spring assembly 3 and adjusting the opening of the flow regulating valve 27. The equivalent inertial capacity formed by the inertial capacity drive wheel 26 can improve the inertial effect of the device without increasing the same physical counterweight, and improve the vibration control effect at different construction stages.

[0085] The above description of the embodiments is provided to enable those skilled in the art to understand and use the present invention. It will be apparent to those skilled in the art that various modifications can be made to these embodiments, and the general principles described herein can be applied to other embodiments without inventive effort. Therefore, the present invention is not limited to the above embodiments, and any improvements and modifications made by those skilled in the art based on the interpretation of the present invention without departing from the scope of the present invention should be within the protection scope of the present invention.

Claims

1. An inertial capacitance-tuned damper device suitable for the self-supporting state of a bridge tower during construction, which is horizontally installed on the top of the construction bridge tower or the upper surface of the cross brace, characterized in that, It includes a mass body (1), an inertial-capacitance-damping assembly (2), a spring assembly (3), an outer frame assembly (4), and a guide rail assembly (5); The outer frame assembly (4) is fixedly connected to the top of the bridge tower or the upper surface of the cross brace, and moves synchronously with the bridge tower or cross brace; the mass body (1) is disposed inside the outer frame assembly (4) and is movably connected to the outer frame assembly (4) through the guide rail assembly (5); the inertial-capacitance damping assembly (2) and the spring assembly (3) are disposed on opposite sides of the mass body (1), one end of the inertial-capacitance damping assembly (2) and the spring assembly (3) are connected to the mass body (1), and the other end is connected to the outer frame assembly (4) through the pad (6); The mass body (1) is used to provide the mass required for tuning motion, the inertial-capacitance damping assembly (2) is used to provide equivalent inertial capacity and damping force, the spring assembly (3) is used to provide restoring force and tuning stiffness, the outer frame assembly (4) is used to support the various components of the device and transmit the tuning force to the bridge tower or cross brace, and the guide rail assembly (5) is used to support the mass body (1) and limit its direction of movement; The inertial-capacitance-damping assembly (2) includes an inertial-capacitance branch and a damping branch that connect the working chambers on both sides of the piston in parallel. The inertial-capacitance branch is equipped with a flow regulating valve (27) for changing the flow rate of the branch.

2. The inertial-capacitive tuned damper device according to claim 1, characterized in that, The outer frame assembly (4) includes a base plate (41) fixedly connected to the top of the bridge tower or the upper surface of the cross brace, and side plates (42) fixedly disposed at both ends of the base plate (41) and perpendicular to the base plate (41); the side plates (42) are used to bear the tuning force and transmit it to the base plate (41), and the base plate (41) is used to support the weight of the device and transmit the tuning force to the bridge tower or cross brace.

3. The inertial-capacitive tuned damper device according to claim 2, characterized in that, The pad (6) is disposed between the inertial-capacitance damping assembly (2), the spring assembly (3) and the side plate (42) to connect the inertial-capacitance damping assembly (2) and the spring assembly (3) and to make their working axes consistent with the motion direction of the mass body (1).

4. The inertial capacitance-tuned damper device according to claim 1, characterized in that, The motion direction of the mass body (1), the axis of the inertial-capacitance damping assembly (2), and the extension and retraction direction of the spring assembly (3) are all set in the horizontal direction and are consistent with the target vibration direction of the bridge tower or cross brace.

5. The inertial capacitance-tuned damper device according to claim 1, characterized in that, The spring assembly (3) includes two or more sets of parallel springs (31), each spring (31) is symmetrically arranged along the central axis of the inertial-capacitance-damping assembly (2), and can be replaced with springs of different stiffness according to the construction stage of the bridge tower.

6. The inertial capacitance-tuned damper device according to claim 1, characterized in that, The mass body (1) includes a mass block (11), a guide wheel (12) disposed at the bottom of the mass block (11), and a hinge (13) disposed on the side of the mass block (11); the mass block (11) moves along the guide rail assembly (5) through the guide wheel (12) and is connected to the inertial-capacitive damping assembly (2) through the hinge (13).

7. The inertial-capacitive tuned damper device according to claim 6, characterized in that, The guide rail assembly (5) includes a guide rail (51) that cooperates with the guide wheel (12) and a limiting block (52) arranged along the length direction of the guide rail (51); the guide rail (51) is used to support the mass block (11) and limit its movement direction, and the limiting block (52) is used to limit the displacement amplitude of the mass block (11).

8. The inertial-capacitive tuned damper device according to claim 6, characterized in that, The inertial-capacitive damping assembly (2) includes a hollow cylinder (21) filled with damping medium liquid (22), a piston rod (23) extending into the cylinder (21), and a piston (24) fixed on the piston rod (23) and perpendicular to the axis of the piston rod (23). The piston (24) divides the cylinder (21) into two working chambers. The piston (24) is provided with a plurality of damping holes that allow the damping medium liquid (22) to pass through. The damping holes constitute the damping branch. The two ends of the inertial volume conduit (25) are respectively connected to the working chambers on both sides of the piston (24). The inertial volume conduit (25) is provided with an inertial volume drive wheel (26) and a flow regulating valve (27). The inertial volume conduit (25), the inertial volume drive wheel (26) and the flow regulating valve (27) together constitute the inertial volume branch.

9. The inertial capacitance-tuned damper device according to claim 8, characterized in that, The piston rod (23) is capable of moving horizontally along the axis of the cylinder (21), and the end of the piston rod (23) extending out of the cylinder (21) is connected to the mass block (11) through the hinge (13). The damping orifice is a circular orifice, and the damping medium liquid (22) forms a linear viscous damping effect when it flows through the damping orifice.

10. The inertial-capacitive tuned damper device according to claim 8, characterized in that, The inertial drive wheel (26) is driven to rotate by the damping medium liquid (22) flowing through the inertial conduit (25), and the rotational inertia of the inertial drive wheel (26) is converted into the equivalent inertial capacity acting on the piston rod (23); The flow regulating valve (27) can adjust its flow area between a fully closed state and a fully open state. The flow area increases with the increase of the valve opening and adjusts the flow rate of the damping medium liquid (22) flowing through the inertial volume branch by the change of the flow area. When the flow regulating valve (27) is fully closed, the inertial volume branch is closed. When the flow regulating valve (27) is fully open, its flow area reaches its maximum value.

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