A novel design method for a tuned liquid damper with inerter

Abstract

The present application belongs to the field of structural wind-induced vibration control, and relates to a design method of a novel tuned liquid damper with inertial container, comprising the following steps: S1, determining the installation floor of the TLD device and the inertial container device according to the design of the main structure; S2, designing the effective mass, the sloshing frequency and the damping ratio of the TLD according to the dynamic characteristic parameters of the controlled structure; S3, designing the geometric size and the water storage height of the TLD in combination with the structure plane shape and the space limitation of the floor where the TLD is located; S4, designing the inertance coefficient β of the inertial container device in combination with the mass of the main structure; S5, calculating the stiffness K of the linear spring element connected to the TLD and the damping coefficient C of the damping element; S6, establishing the motion equation of the main structure-TLDI system, and calculating the vibration response and the damping rate of the main structure; S7, judging whether the novel tuned liquid damper (TLDI) with inertial container can make the controlled structure achieve the ideal control effect. Compared with the same type of TLCDI and TMDI devices, the novel tuned liquid damper (TLDI) with inertial container has superiority in economy and space utilization.

Description

Technical Field

[0001] This invention relates to the field of structural wind-induced vibration control, and in particular to a novel design method for a tuned liquid damper with an inertial container. Background Technology

[0002] Modern high-rise buildings are characterized by high flexibility and low damping, making wind-induced vibration response a key factor in controlling their safety and comfort. Tuned vibration damping devices, as a simple and efficient passive control method, are widely used in wind-induced vibration control of high-rise buildings, significantly reducing acceleration at the top of the structure and improving occupant comfort.

[0003] Traditional tuned vibration damping devices (such as TMD, TLD, and TLCD devices) have two main problems. First, within the range of linear elastic structural vibration response, their damping effect is positively correlated with the tuning mass, often requiring a large tuning mass to ensure sufficient damping. However, adding excessive tuning mass at the top of the structure can easily generate a whiplash effect, adversely affecting the structural load-bearing capacity and seismic resistance. Second, tuned vibration damping device designs mostly use the fundamental modal response of the controlled structure as the control object. However, the diversity of environmental excitations can sometimes induce higher-order modes in the building structure. In such cases, controlling only the fundamental modal response often fails to achieve the expected damping effect.

[0004] Novel tuned vibration damping devices combined with inertial capacitive dampers have recently attracted widespread attention. Their principle is to utilize the mass-enhancing effect of the inertial capacitive damper to replace part of the tuning mass of the damping device, thereby achieving a lightweight effect. Currently, the most in-depth research focuses on the TMDI device combined with a tuned mass damper and the TLCDI device combined with a tuned liquid column damper. Studies have shown that these two types of novel tuned vibration damping devices can solve the problems of tuning mass and multimodal control in traditional tuned vibration damping devices.

[0005] Existing TMDI and TLCD devices each have their own drawbacks: the former's additional mass has no other use besides serving as a tuning mass, resulting in limited functionality and poor economic efficiency; the latter, due to its complex shape, is difficult to install and modify, and also suffers from low space utilization. In contrast, TLD devices are superior to TMD and TLCD devices in terms of functionality, economy, and space utilization. Therefore, inventing a design method to upgrade and transform traditional TLD devices into TLDI has significant practical and engineering value. Summary of the Invention

[0006] In view of the shortcomings of the existing technology, the technical problem to be solved by the present invention is to design a novel tuned liquid damper with an inertial container. The design is clear and simple, easy to apply in practical engineering, and can further improve the vibration reduction effect of high-rise buildings.

[0007] To achieve the above objectives, the present invention adopts the following technical solution: A novel design method for a tuned liquid damper with an inertial container is characterized by comprising a TLD device, a fire water tank, a track trolley, a linear spring, a damping element, a pulley, a transmission cable, an inertial capacity device, a flywheel, a rack, and a gear. The TLD device is connected to one side of the track trolley, the fire water tank is fixed above the track trolley, the pulley is installed at the top of the top floor and the refuge floor and is looped around the outside by the transmission cable, and the flywheel, rack, and gear are installed inside the inertial capacity device.

[0008] A novel design method for a tuned liquid damper with an inertia container includes the following steps: S1. Determine the installation floors for the TLD device and the inertial capacity device based on the design of the main structure; S2. Based on the dynamic characteristic parameters of the controlled structure, design the effective mass, swaying frequency and damping ratio of the TLD device; S3. Based on the structural plan shape and space constraints of the floor where the TLD device is located, design the geometric dimensions and water storage height of the TLD device; S4. Based on the mass of the main structure, design the inertia ratio of the inertia device. ; S5. Calculate the stiffness K of the linear spring element and the damping coefficient C of the damping element connected to the TLD device. S6. Establish the motion equations of the main structure-TLDI system and calculate the vibration response and damping rate of the main structure. S7. Determine whether the novel tuned liquid damper (TLDI) with inertia can enable the controlled structure to achieve the desired control effect.

[0009] Furthermore, step S1 specifically includes: The TLD device and the fire water tank are installed on the top floor of the main structure, and the inertial container device is fixed at the bottom of the refuge floor slab. The TLD device and the inertial container device are connected by pulleys and transmission steel cables.

[0010] Furthermore, step S2 specifically involves: Obtain the mass and stiffness information of each floor of the controlled structure, and calculate the fundamental modal mass of the controlled structure using the modal superposition method. The fundamental natural frequency Then design a suitable mass ratio Calculate the effective mass of the TLD device The specific formula is as follows:

[0011] Based on the fundamental natural frequency of the controlled structure The mass ratio of the structure-TLD device Calculate the sway frequency at which the TLD device achieves optimal control. Damping ratio The specific formula is as follows:

[0012]

[0013] Determine the mass ratio of the structure and the TLD device. Optimal shaking frequency Damping ratio .

[0014] Furthermore, step S3 specifically includes: Based on the dynamic characteristic parameters of the TLD device calculated in step 2, the dimensions of the TLD device are designed, the length L of the TLD device is determined, and the water storage height of the TLD device is calculated using the theoretical formula for the fundamental modal frequency of a rectangular TLD device. The specific formula is as follows:

[0015] In the formula, Acceleration due to gravity; water storage height The floor height limit of the floor where the TLD device is located needs to be met, combined with the effective mass of the TLD device obtained in step 2. The width W of the TLD device is calculated using the following formula:

[0016]

[0017]

[0018] In the formula, This represents the total mass of liquid in the TLD. Indicates the quality participation factor; width Space constraints at the TLD installation location must be met.

[0019] Furthermore, step S4 specifically involves: The inertial-capacitance device transmits power by meshing flywheels of different radii with gears, converting the linear motion at both ends of the rack into the rotational motion of the flywheels. Through the mutual transmission between different stages of gears, the apparent mass caused by the rotational inertia of the flywheels can reach orders of magnitude higher than the actual physical mass. The desired apparent mass can be obtained by adjusting the transmission ratio between the flywheels or by increasing or decreasing the number of gears. The calculation formula is as follows:

[0020] In the formula, The actual physical mass of the flywheel; The radius of the flywheel, The radius of the flywheel drive gear; , These are the inner and outer radii of the transmission gears at each stage; The formulas for calculating the output force at both ends of the inertial-capacitive device are as follows:

[0021] In the formula, , The inertial-to-capacitive ratio is defined as the acceleration at both ends of the inertial-capacitive device. :

[0022] In the formula, This indicates the total mass of the controlled main building.

[0023] Furthermore, step S5 specifically involves: The frequency ratio and damping ratio for achieving ideal control performance of the TLDI device are calculated using the following formulas:

[0024]

[0025] In the formula, The correction factor is set to 1.15. Total mass of TLD device Total mass of the controlled main building The ratio, that is:

[0026] Based on the mass of the TLD device in step 2 and the inertia ratio in step 4, the frequency ratio of the TLDI device is... Damping ratio The calculation formula is as follows:

[0027]

[0028] In the formula, The fundamental natural frequency of the structure; For the stiffness of the linear spring element connected to the TLD, is the damping coefficient of the damping element.

[0029] Then, calculate the ideal frequency ratio from the above formula. Damping ratio Substituting the values, the stiffness of the linear spring element when the TLDI device achieves ideal control can be calculated. Damping coefficient of damping element .

[0030] Furthermore, step S6 specifically involves: The main structure can be simplified according to the number of floors as follows: A lumped mass model with 1 degree of freedom is used to transform the TLD device into a TMD model using the equivalent linearization method. The coupled motion equations of the structure-TLDI system can then be expressed in the following form:

[0031]

[0032] ; ;

[0033] In the formula, , , These are the mass matrix, damping matrix, and stiffness matrix of the structure, respectively. , , These represent the mass, damping, and stiffness of the equivalent TMD, where the equivalent TMD mass is... That is, effective quality , , The specific calculation formula is as follows:

[0034]

[0035]

[0036] , , These are the structural displacement vector, velocity vector, and acceleration vector, respectively. , , These are the overall displacement, velocity, and acceleration of the TLD device; , , These represent the displacement, velocity, and acceleration of the equivalent TMD, respectively. , Let be the location vectors, representing the _th ... Two elements with one 1 and the rest with 0. 3D column vector, in this implementation case , This indicates that the TLD device and the inertial capacitance device are installed on the 64th floor and the 50th floor, respectively; This is the wind load vector; By vibration reduction rate The specific formula for measuring the vibration reduction effect of TLD is as follows:

[0037] In the formula, and These represent the root mean square values ​​of the top acceleration response before and after the structure is controlled, respectively.

[0038] Furthermore, step S7 specifically includes: The vibration reduction rate of TLDI is obtained based on step 6. ,like If the result is less than the preset control target, it means that the TLDI has failed to achieve the expected control effect, and it is necessary to return to step 2 for redesign, including changing the installation floor of the inertial capacity device and the mass ratio of the structure to the TLD device. Inertial ratio of inertial device etc.; if If the value is greater than or equal to the preset control target, it means that the TLDI has achieved the expected control effect, and the corresponding TLDI design parameters are taken as the final design scheme of this invention.

[0039] Compared with the prior art, the advantages of the present invention are as follows: 1. This invention combines an inertial capacitance device with an apparent mass amplification effect with a traditional TLD to form a novel tuned vibration damping device (TLDI). This not only improves the structural vibration control effect, but also avoids the adverse effects of excessive tuning mass of the traditional TLD device on structural load-bearing capacity and seismic resistance caused by the whip effect.

[0040] 2. This invention can extend the traditional TLD device that can only control a single mode to a new type of TLDI device with high-order modal damping effect, effectively mitigating the complex multimodal coupling response of the structure without increasing or even decreasing the mass of the tuning liquid, thus improving the engineering applicability of the TLD.

[0041] 3. The design method for upgrading and transforming a TLD into a TLD is universal and applicable to complex TLDs with irregular shapes or damping components, as well as TLDs installed on any floor.

[0042] 4. Compared with similar TLCDI and TMDI devices, the design method of this invention for upgrading TLD to TLDI has advantages in terms of economy and space utilization, and has higher application value in practical engineering. Attached Figure Description

[0043] Figure 1 This is a flowchart of the method of the present invention; Figure 2 This is a schematic diagram of the structure-TLDI system model in an embodiment of the present invention; Figure 3 This is a schematic diagram of the gear-rack inertial capacity device in an embodiment of the present invention; Figure 4a This is a time history diagram of the displacement response of the top of the structure before and after the installation of the TLDI device in an embodiment of the present invention; Figure 4b This is a time history diagram of the acceleration response of the top of the structure before and after installing the TLDI device in an embodiment of the present invention; Figure 5a This is a power spectrum diagram of the top displacement response of the structure before and after being controlled by TLDI and TLD device in an embodiment of the present invention. Figure 5b This is a power spectrum diagram of the acceleration response at the top of the structure before and after it is controlled by the TLDI and TLD devices in an embodiment of the present invention. Figure label: 1 - Gear 1; 2 - Gear 2; 3 - Gear 3; 4-Flywheel; 5-Inertial-capacitive device; 6-Rack; 7-TLD device; 8-Fire water tank; 9-Transmission steel cable; 10-Pulley; Detailed Implementation

[0044] Example: Figure 1 As shown in Figure 5, the present invention provides a novel design method for a tuned liquid damper with an inertia container, comprising the following steps: S1. Determine the installation floors for the TLD device and the inertial capacitance device based on the design of the main structure; specifically: TLD (Transient Water Deposition) devices typically also function as fire water tanks and are installed on the top floor of the main structure. Furthermore, previous studies have shown that the further the inertial capacity device is installed from the TLD device, the better the control effect. To avoid interfering with the building's functionality, refuge floors in high-rise buildings are selected as the installation floors for the inertial capacity devices, which are then fixed to the bottom of the refuge floor slab.

[0045] In this implementation case, the main structure has 65 floors, with the TLD device installed on the 64th floor; the inertial container device is installed on the 50th floor. The TLD device and the inertial container device are connected by pulleys and transmission cables. The specific layout of the structure-TLDI system is as follows: Figure 2 The meaning is as shown.

[0046] S2. Based on the dynamic characteristic parameters of the controlled structure, design the effective mass, sway frequency, and damping ratio of the TLD device; specifically: Obtain the mass and stiffness information of each floor of the controlled structure, and calculate the fundamental modal mass of the controlled structure using the modal superposition method. The fundamental natural frequency Then design a suitable mass ratio (In engineering practice, quality ratio) (generally not greater than 5%), calculate the effective mass of TLD. The specific formula is as follows:

[0047] Based on the fundamental natural frequency of the controlled structure The mass ratio of the structure-TLD device Calculate the sway frequency at which the TLD achieves optimal control. Damping ratio The specific formula is as follows:

[0048]

[0049] In this embodiment, the mass ratio of the structure to the TLD device is determined based on the structural information and floor plan of the actual engineering project. The optimal shaking frequency is 0.5%. Damping ratio The frequencies are 0.147 Hz and 0.035 Hz, respectively.

[0050] S3. Considering the structural plan shape and space constraints of the floor where the TLD device is located, design the geometric dimensions and water storage height of the TLD device; specifically: Based on the dynamic characteristic parameters of the TLD device calculated in step 2, the dimensions of the TLD device are designed, the length L of the TLD device is determined, and the water storage height of the TLD device is calculated using the theoretical formula for the fundamental modal frequency of a rectangular TLD device. The specific formula is as follows:

[0051] In the formula, Acceleration due to gravity. Water storage height. The floor height limit of the floor where the TLD device is located needs to be met, combined with the effective mass of the TLD obtained in step 2. The width W of the TLD is calculated using the following formula:

[0052]

[0053]

[0054] In the formula, It is the liquid density in the TLD. This indicates the total mass of liquid in the TLD device. Indicates the quality participation factor; width Space constraints for the installation location of the TLD device must be met.

[0055] In this embodiment, the TLD device is designed to be 16m long, 6.5m wide, and 2.4m deep; this design meets the space constraints of the floor where the TLD is installed.

[0056] S4. Based on the mass of the main structure, design the inertia ratio of the inertia device. Specifically: This case study employs a rack and pinion inertial displacement mechanism. This type of mechanism transmits power by meshing gears with flywheels of different radii, converting the linear motion at both ends of the rack into the rotational motion of the flywheels. Through the mutual transmission between different stages of gears, the apparent mass caused by the rotational inertia of the flywheels can reach orders of magnitude greater than the actual physical mass. The desired apparent mass can be obtained by adjusting the transmission ratio between the flywheels or by increasing or decreasing the number of gears. The calculation formula is as follows:

[0057] In the formula, The actual physical mass of the flywheel; The radius of the flywheel, The radius of the flywheel drive gear; , These are the inner and outer radii of the transmission gears at each stage; The formulas for calculating the output force at both ends of the inertial-capacitive device are as follows:

[0058] In the formula, , The inertial-to-capacitive ratio is defined as the acceleration at both ends of the inertial-capacitive device. :

[0059] In the formula, This indicates the total mass of the controlled main building.

[0060] In this embodiment, the inertia ratio of the inertia capacity device is designed. =0.06.

[0061] S5. Calculate the stiffness of the linear spring element connecting the TLD device. Damping coefficient of damping element Specifically: The frequency ratio and damping ratio for achieving ideal control performance of the TLDI device are calculated using the following formulas:

[0062]

[0063] In the formula, The correction factor is set to 1.15. Total mass of TLD Total mass of the controlled main building The ratio, that is:

[0064] Based on the mass of the TLD device in step 2 and the inertia ratio in step 4, the frequency ratio of the TLDI device is... Damping ratio The calculation formula is as follows:

[0065]

[0066] In the formula, The fundamental natural frequency of the structure; For the stiffness of the linear spring element connecting the TLD device, is the damping coefficient of the damping element.

[0067] Then calculate the ideal frequency ratio Damping ratio Substituting into the above formula, the stiffness of the linear spring element when the TLDI device achieves ideal control effect can be calculated. Damping coefficient of damping element .

[0068] In this embodiment, the ideal frequency ratio of the TLDI device is 1.091, the ideal damping ratio is 0.121, and the total stiffness of the linear spring element is designed as follows: The damping coefficient of the damping element is: .

[0069] S6. Establish the motion equations of the main structure-TLDI system, and calculate the vibration response and damping rate of the main structure; specifically: The main structure can be simplified according to the number of floors as follows: The lumped mass model with 1 degree of freedom is transformed into a TMD model using the equivalent linearization method. The coupled motion equations of the structure-TLDI system can then be expressed in the following form:

[0070]

[0071] ; ;

[0072] In the formula, , , These are the mass matrix, damping matrix, and stiffness matrix of the structure, respectively. , , These represent the mass, damping, and stiffness of the equivalent TMD, where the equivalent TMD mass is... That is, effective quality , , The specific calculation formula is as follows:

[0073]

[0074]

[0075] , , These are the structural displacement vector, velocity vector, and acceleration vector, respectively. , , These are the overall displacement, velocity, and acceleration of the TLD device; , , These represent the displacement, velocity, and acceleration of the equivalent TMD, respectively. , Let be the location vectors, representing the _th ... Two elements with one 1 and the rest with 0. 3D column vector, in this implementation case , This indicates that the TLD device and the inertial capacitance device are installed on the 64th floor and the 50th floor, respectively; This is the wind load vector; By vibration reduction rate The specific formula for measuring the vibration reduction effect of TLD is as follows:

[0076] In the formula, and These represent the root mean square values ​​of the top acceleration response before and after the structure is controlled, respectively.

[0077] S6. Determine whether the novel tuned liquid damper (TLDI) with inertia can achieve the desired control effect for the controlled structure; specifically: The vibration reduction rate of TLDI is obtained based on step 6. ,like If the result is less than the preset control target, it means that the TLDI has failed to achieve the expected control effect, and it is necessary to return to step 2 for redesign, including changing the installation floor of the inertial capacity device and the mass ratio of the structure to the TLD device. Inertial ratio of inertial device etc.; if If the value is greater than or equal to the preset control target, it means that the TLDI has achieved the expected control effect, and the corresponding TLDI design parameters are taken as the final design scheme of this invention.

[0078] In this embodiment, the time histories of the displacement and acceleration response of the top of the structure before and after installing the TLD device and the TLDI device are as follows: Figure 4a , Figure 4b As shown in the table below, the vibration reduction effect is as follows: Table 1. Acceleration response and vibration reduction effects before and after installing TLD and TLDI devices. ; The power spectra of the top-level displacement and acceleration response before and after the structure was controlled are as follows: Figure 5a ,like Figure 5b As shown, this demonstrates that TLDI devices have a significant advantage over traditional TLD devices in simultaneously controlling multiple modes.

[0079] In specific implementation: This invention combines an inertial capacitive system with apparent mass enhancement with a traditional rectangular TLD device to form a novel tuned vibration reduction device. First, the motion equations of the structure-TLDI system are established using an equivalent linearization method, and the calculation formulas for the corresponding parameters are given. Then, the actual vibration reduction effect of the structure-TLDI system is solved numerically. Finally, the actual vibration reduction effect is compared with the control requirements, and the parameter settings of the TLDI device are adjusted to obtain a TLDI design scheme that meets the actual engineering needs. This invention can achieve good vibration reduction effect while making the vibration reduction device lightweight, avoiding the adverse effects that excessive tuning liquid mass of traditional TLD devices may have on the structure. Second, this invention can achieve multimodal control of the structure without increasing the tuning liquid mass, effectively mitigating complex multimodal coupling responses of the structure and improving the engineering applicability of the TLD device.

Claims

1. A novel design method for a tuned liquid damper with an inertial container, characterized in that, The novel tuned liquid damper with inertia container is called TLDI, which includes a TLD device, a fire water tank, a track trolley, a linear spring, a damping element, a pulley, a transmission cable, an inertia container, a flywheel, a rack, and a gear. The TLD device is connected to one side of the track trolley, the fire water tank is fixed above the track trolley, the linear spring and damping element are respectively connected to both sides of the track trolley, the pulley is installed at the top of the top floor and the refuge floor and is looped around the outside by the transmission cable, and the flywheel, rack, and gear are installed inside the inertia container. The application of a novel tuned liquid damper with an inertia container includes the following steps: S1. Determine the installation floors of the TLD device and the inertial container device according to the design of the main structure; the TLD device and the fire water tank are installed on the top floor of the main structure, and the inertial container device is fixed at the bottom of the refuge floor slab. The TLD device and the inertial container device are connected by pulleys and transmission steel cables. S2. Based on the dynamic characteristic parameters of the controlled structure, design the effective mass, swaying frequency and damping ratio of the TLD device; S3. Based on the structural plan shape and space constraints of the floor where the TLD device is located, design the geometric dimensions and water storage height of the TLD; S4. Based on the mass of the main structure, design the inertia ratio of the inertia device. ; S5. Calculate the stiffness K of the linear spring element and the damping coefficient C of the damping element connected to the TLD device. S6. Establish the motion equations of the main structure-TLDI system and calculate the vibration response and damping rate of the main structure. S7. Determine whether the new type of tuned liquid damper with inertia container can enable the controlled structure to achieve the ideal control effect.

2. The design method of a novel tuned liquid damper with an inertial container according to claim 1, characterized in that, Step S2 is as follows: Obtain the mass and stiffness information of each floor of the controlled structure, and calculate the fundamental modal mass of the controlled structure using the modal superposition method. The fundamental natural frequency Then design a suitable mass ratio Calculate the effective mass of the TLD device The specific formula is as follows: ； Based on the fundamental natural frequency of the controlled structure The mass ratio of the structure-TLD device Calculate the sway frequency at which the TLD device achieves optimal control. Damping ratio The specific formula is as follows: ； ； Determine the mass ratio of the structure and the TLD device. Optimal shaking frequency Damping ratio .

3. The design method of a novel tuned liquid damper with an inertial container according to claim 2, characterized in that, Step S3 is as follows: Based on the dynamic characteristic parameters of the TLD device calculated in step S2, the dimensions of the TLD device are designed, the length L of the TLD device is determined, and the water storage height of the TLD device is calculated using the theoretical formula for the fundamental modal frequency of a rectangular TLD device. The specific formula is as follows: ； In the formula, Acceleration due to gravity, water storage height The floor height limit of the floor where the TLD is located needs to be met, combined with the effective mass of the TLD device obtained in step S2. The width W of the TLD is calculated using the following formula: ； ； ； In the formula, It is the liquid density in the TLD. This represents the total mass of liquid in the TLD. Indicates the quality participation factor; width Space constraints at the TLD installation location must be met.

4. The design method of a novel tuned liquid damper with an inertial container according to claim 3, characterized in that, Step S4 is as follows: The inertial-capacitance device transmits power by meshing flywheels of different radii with gears, converting the linear motion at both ends of the rack into the rotational motion of the flywheels. Through the mutual transmission between different stages of gears, the apparent mass caused by the rotational inertia of the flywheels can reach orders of magnitude higher than the actual physical mass. The desired apparent mass can be obtained by adjusting the transmission ratio between the flywheels or by increasing or decreasing the number of gears. The calculation formula is as follows: ； In the formula, The actual physical mass of the flywheel; The radius of the flywheel, The radius of the flywheel drive gear; , These are the inner and outer radii of the transmission gears at each stage; The formulas for calculating the output force at both ends of the inertial-capacitive device are as follows: ； In the formula, , The inertial-to-capacitive ratio is defined as the acceleration at both ends of the inertial-capacitive device. : ； In the formula, This indicates the total mass of the controlled main building.

5. The design method of a novel tuned liquid damper with an inertia container according to claim 4, characterized in that, Step S5 is as follows: The frequency ratio and damping ratio for achieving ideal control performance of the TLDI device are calculated using the following formulas: ； ； In the formula, The correction factor is set to 1.

15. Total mass of TLD Total mass of the controlled main building The ratio, that is: ； Based on the TLD device mass in step S2 and the inertia ratio in step S4, the TLDI device frequency ratio Damping ratio The calculation formula is as follows: ； ； In the formula, The fundamental natural frequency of the structure; Stiffness of the linear spring element connecting the TLD; The damping coefficient of the damping element; Then calculate the ideal frequency ratio Damping ratio Substituting into the above formula, the stiffness of the linear spring element when the TLDI device achieves ideal control effect can be calculated. Damping coefficient of damping element .

6. The design method of a novel tuned liquid damper with an inertial container according to claim 5, characterized in that, Step S6 is as follows: The main structure can be simplified according to the number of floors as follows: A lumped mass model with 1 degree of freedom is used to transform the TLD device into a TMD model using the equivalent linearization method. The coupled motion equations of the structure-TLDI system can then be expressed in the following form: ； ； ; ; ； In the formula, , , These are the mass matrix, damping matrix, and stiffness matrix of the structure, respectively. , , , These are the equivalent TMD's mass, damping, stiffness, and the actual liquid mass of the TLD, where the equivalent TMD's mass is... That is, effective quality , , The specific calculation formula is as follows: ； ； ； , , These are the structural displacement vector, velocity vector, and acceleration vector, respectively. , , These are the overall displacement, velocity, and acceleration of the TLD device; , , These are the displacement, velocity, and acceleration of the equivalent TMD device, respectively. , Let be the location vectors, representing the _th ... Two elements with one 1 and the rest with 0. 3D column vector; This is the wind load vector; By vibration reduction rate The specific formula for measuring the vibration reduction effect of TLD is as follows: ； In the formula, and These represent the root mean square values ​​of the top acceleration response before and after the structure is controlled, respectively.

7. The design method of a novel tuned liquid damper with an inertial container according to claim 6, characterized in that, Step S7 is as follows: The vibration reduction rate of TLDI is obtained based on step S6. ,like If the result is less than the preset control target, it indicates that the TLDI has failed to achieve the expected control effect, and it is necessary to return to step S2 for redesign, including changing the installation floor of the inertial capacity device and the mass ratio of the structure-TLD system. Inertial ratio of inertial device ;like If the value is greater than or equal to the preset control target, it means that TLDI has achieved the expected control effect.

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