Design method of novel tuned liquid damper with inerter

Abstract

The invention belongs to the field of structural wind-induced vibration control, and relates to a design method of a novel tuned liquid damper with an inerter, which comprises the following steps: S1, respectively determining the mounting floors of a TLD device and an inerter device according to the design of a main body structure; s2, designing the effective mass, the shaking frequency and the damping ratio of the TLD according to the dynamic characteristic parameters of the controlled structure; s3, the geometric dimension and the water storage height of the TLD are designed in combination with the structural plane shape and the space limitation of the floor where the TLD is located; s4, designing an inerter coefficient beta of the inerter device in combination with the mass of the main body structure; s5, calculating the rigidity K of the linear spring element connected with the TLD and the damping coefficient C of the damping element; s6, establishing a main body structure-TLDI system motion equation, and calculating the vibration response and the vibration reduction rate of the main body structure; and S7, judging whether the novel tuned liquid damper (TLDI) with the inerter can enable the controlled structure to achieve an ideal control effect or not. Compared with TLCDI and TMDI devices of the same type, the TLCDI and TMDI device has superiority in economy and space utilization rate.

Description

Technical Field

[0001] The invention relates to the field of structure wind-induced vibration control, in particular to a design method of a novel tuned liquid damper with an inertia container. Background Art

[0002] Modern high-rise buildings are characterized by high flexibility and low damping. Wind-induced vibration response is the main factor controlling their safety and comfort. Tuned vibration reduction devices, as a simple and efficient passive control device, are widely used in wind vibration control of high-rise buildings. They can significantly reduce the acceleration at the top of the structure and improve the comfort of residents.

[0003] Traditional tuned vibration reduction devices (such as TMD, TLD, TLCD devices, etc.) have the following two problems. First, within the linear elastic structural vibration response range, the vibration reduction effect is positively correlated with the tuning mass, and a larger tuning mass is often required to ensure sufficient vibration reduction effect. However, attaching too much tuning mass to the top of the structure is prone to produce a whip effect, which has an adverse effect on the structural load-bearing and earthquake resistance. Secondly, the design of tuned vibration reduction devices mostly takes the fundamental modal response of the controlled structure as the control object, but the diversity of environmental excitations sometimes excites the higher-order modes of the building structure. At this time, only controlling the fundamental modal response often cannot achieve the expected vibration reduction effect.

[0004] The new tuned vibration reduction device combined with the inertial device has attracted wide attention recently. The principle is to use the mass enhancement effect of the inertial device to replace part of the tuning mass of the vibration reduction device, thereby achieving the effect of lightweighting the vibration reduction device. At present, the TMDI device combined with the tuned mass damper and the TLCDI device combined with the tuned liquid column damper are the most in-depth research. Studies have shown that these two types of new tuned vibration reduction devices can solve the problems of traditional tuned vibration reduction devices in terms of tuning mass and multi-modal control.

[0005] The existing TMDI and TLCDI devices have their own defects: the additional mass block of the former has no other use except as a tuning mass, has a single function and poor economic efficiency; the latter is difficult to install and transform due to its complex appearance, and has the defect of low space utilization. The TLD device is superior to the TMD and TLCD devices in terms of functionality, economy and space utilization. Therefore, it is of great practical significance and engineering value to invent a design method for upgrading the traditional TLD device to TLDI. Summary of the invention

[0006] In view of the defects of the prior art, the technical problem to be solved by the present invention is to design a new type of tuned liquid damper design method with an inertia container, which has a clear and concise form, is convenient for practical engineering applications, and can further improve the vibration reduction effect on high-rise buildings.

[0007] To achieve the above object, the present invention adopts the following technical solutions:

[0008] A novel design method of a tuned liquid damper with an inertia container, characterized in that it includes a TLD device, a fire water tank, a rail trolley, a linear spring, a damping element, a pulley, a transmission cable, an inertia container device, a flywheel, a rack, and a gear. The TLD device is connected to one side of the rail trolley, the fire water tank is fixed above the rail trolley, the linear spring and the damping element are respectively connected to both sides of the rail trolley, the pulley is installed on the top layer and the top of the refuge layer and has the transmission cable ring on the outside, and the flywheel, rack, and gear are installed inside the inertia container device.

[0009] A novel design method of a tuned liquid damper with an inertia container comprises the following steps:

[0010] S1. Determine the installation floors of the TLD device and the inertial container device according to the design of the main structure;

[0011] S2. Design the effective mass, sway frequency and damping ratio of the TLD device according to the dynamic characteristic parameters of the controlled structure;

[0012] S3. Design the geometric dimensions and water storage height of the TLD device in consideration of the structural plane shape and space limitations of the floor where the TLD device is located;

[0013] S4. Design the inertia coefficient β of the inertia device based on the mass of the main structure;

[0014] S5, calculating the stiffness K of the linear spring element connected to the TLD device and the damping coefficient C of the damping element;

[0015] S6. Establish the motion equation of the main structure-TLDI system and calculate the vibration response and vibration reduction rate of the main structure;

[0016] S7. Determine whether the new tuned liquid damper with inertia container (TLDI) can achieve the desired control effect for the controlled structure.

[0017] Furthermore, step S1 is specifically as follows:

[0018] 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 to the bottom of the refuge floor slab. The TLD device and the inertial container device are connected by pulleys and transmission cables.

[0019] Furthermore, step S2 is specifically as follows:

[0020] Obtain the mass and stiffness information of each floor of the controlled structure, and use the vibration mode superposition method to calculate the fundamental modal mass M of the controlled structure S , fundamental natural frequency f s, then design a suitable mass ratio μ and calculate the effective mass M of the TLD device T , the specific formula is:

[0021] M T =μM S

[0022] According to the fundamental natural frequency f of the controlled structure s and the mass ratio μ of the structure to the TLD device, calculate the shaking frequency f when the TLD device achieves the optimal control effect T and damping ratio ζ T , the specific formula is as follows:

[0023]

[0024] Determine the mass ratio μ of the structure and the TLD device, the optimal sloshing frequency f T and damping ratio ζ T .

[0025] Furthermore, step S3 is specifically as follows:

[0026] According to the dynamic characteristic parameters of the TLD device calculated in step 2, the size of the TLD device is designed, the length L of the TLD device is determined, and the water storage height h of the TLD device is calculated by the theoretical formula of the fundamental modal frequency of the rectangular TLD device. The specific formula is as follows:

[0027]

[0028] Where g is the acceleration of gravity; the water storage height h needs to meet the floor height limit of the floor where the TLD device is located, combined with the effective mass M of the TLD device obtained in step 2 T , calculate the width W of the TLD device, the specific formula is:

[0029]

[0030] M T =γM w

[0031] Where M w represents the total mass of the liquid in the TLD, γ represents the mass participation coefficient; the width W needs to meet the space limitations of the TLD installation location.

[0032] Furthermore, step S4 is specifically as follows:

[0033] The inertia device transmits flywheels with different radii by meshing gears with each other, converting the linear motion of the two ends of the rack into the rotational motion of the flywheel. Through the mutual transmission between gears of different levels, the apparent mass caused by the rotational inertia of the flywheel can reach an order of magnitude multiple of the actual physical mass. The required apparent mass b (also called inertia coefficient) can be obtained by adjusting the transmission ratio between flywheels or increasing or decreasing the number of gears. The calculation formula is as follows:

[0034]

[0035] Where M f is the actual physical mass of the flywheel; r f is the flywheel radius, r pf is the radius of the flywheel transmission gear; r i 、r pi They are the inner and outer radii of each level of transmission gears respectively;

[0036] The formula for calculating the output at both ends of the inertia capacity device is as follows:

[0037]

[0038] In the formula, are the accelerations at both ends of the inertia volume device, and the inertia volume ratio β is defined as:

[0039]

[0040] Where M os Represents the total mass of the controlled main building.

[0041] Furthermore, step S5 is specifically as follows:

[0042] The frequency ratio and damping ratio of the TLDI device when achieving the ideal control effect are calculated according to the following formula:

[0043]

[0044] Where α is the correction coefficient, which corrects the influence of sloshing water mass on the system. It is obtained based on spectrum analysis and is taken as 1.15; μ TLDI is the total mass of the TLD device M w The total mass of the controlled main building M os The ratio is:

[0045]

[0046] According to the mass of the TLD device in step 2 and the inertia coefficient in step 4, the TLDI device frequency ratio υ TLDI , damping ratio ξ TLDI The calculation formula is as follows:

[0047]

[0048] Where ω1 is the fundamental natural frequency of the structure; K is the stiffness of the linear spring element connected to the TLD, and C is the damping coefficient of the damping element.

[0049] Then the ideal frequency ratio υ calculated in the above formula is TLDI , damping ratio ξ TLDI By substituting the above, we can calculate the linear spring element stiffness K and the damping coefficient C of the damping element when the TLDI device achieves the ideal control effect.

[0050] Furthermore, step S6 is specifically as follows:

[0051] The main structure can be simplified to N according to the number of floors. s The lumped mass model with 1 degree of freedom is used. The TLD device is transformed into a TMD model using the equivalent linearization method. The coupled motion equation of the structure-TLDI system can be expressed as follows:

[0052]

[0053]

[0054] Where M s , C s , K s are the mass matrix, damping matrix and stiffness matrix of the structure respectively; m eq 、c eq , k eq are the mass, damping and stiffness of the equivalent TMD, respectively, where the equivalent TMD mass m eq The effective mass M T , c eq , k eq The specific calculation formula is as follows:

[0055]

[0056] k eq =m eq (2πf w ) 2

[0057] c eq =2m eq (2πf w ) T

[0058] X(t), are the structural displacement vector, velocity vector and acceleration vector respectively; y(t), are the displacement vector, velocity vector and acceleration vector of the whole TLD device (track trolley) respectively; u(t), are the relative displacement, relative velocity and relative acceleration of the equivalent TMD respectively; l p , l r is the positioning vector, which represents two N vectors whose pth and rth elements are 1 and the rest are 0. s Dimension column vector, in this implementation case, p = 64, r = 50, indicating that the TLD device and the inertia container device are installed on the 64th and 50th floors respectively; Fw is the wind load vector;

[0059] The vibration reduction effect of TLD is measured by the vibration reduction rate η. The specific formula is:

[0060]

[0061] In the formula, σ′ s and σ s They represent the RMS values ​​of the top acceleration responses before and after the structure is controlled.

[0062] Furthermore, step S7 is specifically as follows:

[0063] Based on step 6, the vibration reduction rate η of TLDI is obtained. If η is less than the preset control target, it means that TLDI fails to achieve the expected control effect, and it is necessary to return to step 2 for redesign, including changing the installation floor of the inertia volume device, the mass ratio μ of the structure-TLD device, the inertia volume ratio β of the inertia volume device, etc.; if η is greater than or equal to the preset control target, it means that TLDI achieves the expected control effect, and the corresponding TLDI design parameters are used as the final design scheme of the present invention.

[0064] Compared with the prior art, the advantages of the present invention are:

[0065] 1. The present invention combines an inertia device with an apparent mass amplification effect with a traditional TLD to form a new type of tuned vibration reduction device (TLDI), which not only improves the structural vibration control effect, but also avoids the adverse effects of the whip effect caused by the excessive tuning mass of the traditional TLD device on the structural bearing and seismic resistance.

[0066] 2. The present invention can expand the traditional TLD device that can only control a single mode to a new TLDI device with a high-order modal damping effect, effectively slowing down the complex structural multi-modal coupling response without increasing or even reducing the mass of the tuning liquid, thereby improving the engineering applicability of TLD.

[0067] 3. The design method for upgrading TLD to TLDI of the present invention is universal and applicable to complex TLD with irregular shape or damping components, and also applicable to TLD installed on any floor.

[0068] 4. The design method of upgrading TLD to TLDI in the present invention is superior in economy and space utilization compared to the same type of TLCDI and TMDI devices, and has higher application value in actual engineering. BRIEF DESCRIPTION OF THE DRAWINGS

[0069] Figure 1 is a flow chart of the method of the present invention;

[0070] Figure 2 Schematic diagram of the structure-TLDI system model in an embodiment of the present invention;

[0071] Figure 3 Schematic diagram of a gear-rack inertia device in an embodiment of the present invention;

[0072] 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 and the TLD device in the embodiment of the present invention;

[0073] Figure 4b This is a time history diagram of the acceleration response of the top of the structure before and after the installation of the TLDI device and the TLD device in the embodiment of the present invention;

[0074] Figure 5a This is a power spectrum diagram of the displacement response of the top of the structure before and after the structure is controlled by the TLDI and TLD devices in an embodiment of the present invention;

[0075] Figure 5b It is a power spectrum diagram of the acceleration response of the top of the structure before and after the structure is controlled by the TLDI and TLD devices in the embodiment of the present invention;

[0076] Reference numerals:

[0077] 1-Gear 1; 2-Gear 2; 3-Gear 3;

[0078] 4-flywheel; 5-inertia device; 6-rack;

[0079] 7-TLD device; 8-fire water tank; 9-transmission cable;

[0080] 10-Pulley; 11-Air shaft; 12-Water tank installation floor

[0081] 13-controlled structure; 14-refuge layer; 15-track trolley; 16-linear spring. DETAILED DESCRIPTION

[0082] Example: Figure 1 - As shown in FIG5 , the present invention, a novel method for designing a tuned liquid damper with an inertia container, comprises the following steps:

[0083] S1. Determine the installation floors of the TLD device and the inertial container device according to the design of the main structure; specifically:

[0084] The TLD device generally needs to serve as a fire water tank and is installed on the top floor of the main structure. At the same time, previous studies have shown that the farther the installation floor of the inertia container device is from the installation floor of the TLD device, the weaker the correlation of floor acceleration and the better the control effect that can be obtained. In order not to hinder the use function of the building itself, the refuge floors in the high-rise building are selected as the installation floors of the inertia container device, and the inertia container device is fixed to the bottom of the refuge floor slab.

[0085] In this implementation case, the main structure has 65 floors, and the TLD device is 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 Indicates.

[0086] S2. According to the dynamic characteristic parameters of the controlled structure, the effective mass, sway frequency and damping ratio of the TLD device are designed; specifically:

[0087] Obtain the mass and stiffness information of each floor of the controlled structure, and use the vibration mode superposition method to calculate the fundamental modal mass M of the controlled structure S , fundamental natural frequency f s , then design a suitable mass ratio μ (in engineering practice, the mass ratio μ is generally not greater than 5%), and calculate the effective mass M of the TLD T , the specific formula is:

[0088] M T =μM S

[0089] According to the fundamental natural frequency f of the controlled structure s and the mass ratio μ of the structure and TLD device, calculate the shaking frequency f when TLD achieves the optimal control effect T and damping ratio ζ T , the specific formula is as follows:

[0090]

[0091] In this embodiment, the mass ratio μ of the structure and the TLD device is determined to be 0.5% based on the structural information and plane design drawings of the actual engineering project, and the optimal sloshing frequency f T and damping ratio ζ T They are 0.147Hz and 0.035 respectively.

[0092] S3. Considering the structural plane shape and space restrictions of the floor where the TLD device is located, design the geometric dimensions and water storage height of the TLD device; specifically:

[0093] According to the dynamic characteristic parameters of the TLD device calculated in step 2, the size of the TLD device is designed, the length L of the TLD device is determined, and the water storage height h of the TLD device is calculated by the theoretical formula of the fundamental modal frequency of the rectangular TLD device. The specific formula is as follows:

[0094]

[0095] Where g is the acceleration due to gravity. The water storage height h needs to meet the floor height limit of the floor where the TLD device is located, combined with the TLD effective mass M obtained in step 2 T , calculate the width W of TLD, the specific formula is:

[0096]

[0097] M T =γM w

[0098] Where M w represents the total mass of the liquid in the TLD device, γ represents the mass participation coefficient; the width W needs to meet the space limitations of the installation location of the TLD device.

[0099] In this embodiment, the TLD device is designed to be 16 m long, 6.5 m wide, and 2.4 m high; this design meets the space limitations of the TLD installation floor.

[0100] S4. Design the inertia coefficient β of the inertia device in combination with the mass of the main structure; specifically:

[0101] In this case, a gear-rack inertia device is used. This type of inertia device transmits flywheels of different radii by meshing gears with each other, converting the linear motion of the two ends of the rack into the rotational motion of the flywheel. Through the mutual transmission between gears of different levels, the apparent mass caused by the rotational inertia of the flywheel can reach an order of magnitude multiple of the actual physical mass. The required apparent mass b (also called inertia coefficient) can be obtained by adjusting the transmission ratio between flywheels or increasing or decreasing the number of gears. The calculation formula is as follows:

[0102]

[0103] Where M f is the actual physical mass of the flywheel; r f is the flywheel radius, r pf is the radius of the flywheel transmission gear; r i 、r pi They are the inner and outer radii of each level of transmission gears respectively;

[0104] The formula for calculating the output at both ends of the inertia device is as follows

[0105]

[0106] In the formula, are the accelerations at both ends of the inertia volume device, and the inertia volume ratio β is defined as:

[0107]

[0108] Where M os Represents the total mass of the controlled main building.

[0109] In this embodiment, the inertia coefficient of the inertia device is designed to be β=0.06.

[0110] S5. Calculate the stiffness K of the linear spring element connected to the TLD device and the damping coefficient C of the damping element; specifically:

[0111] The frequency ratio and damping ratio of the TLDI device when achieving the ideal control effect are calculated according to the following formula:

[0112]

[0113] Where α is the correction coefficient, which corrects the influence of sloshing water mass on the system. It is obtained based on spectrum analysis and is taken as 1.15; μ TLDI is the total mass of TLD M w The total mass of the controlled main building M os The ratio is:

[0114]

[0115] According to the mass of the TLD device in step 2 and the inertia coefficient in step 4, the TLDI device frequency ratio v TLDI , damping ratio ξ TLDI The calculation formula is as follows:

[0116]

[0117] Where ω1 is the fundamental natural frequency of the structure; K is the stiffness of the linear spring element connected to the TLD device, and C is the damping coefficient of the damping element.

[0118] Then the ideal frequency ratio υ calculated in step 5 is TLDI , damping ratio ξ TLDI By substituting the above, we can calculate the linear spring element stiffness K and the damping coefficient C of the damping element when the TLDI device achieves the ideal control effect.

[0119] 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 designed linear spring element is: 12.95×10 3 KN / m; damping coefficient of damping element is: 2.70×10 3KN / (m / s).

[0120] S6. Establish the motion equation of the main structure-TLDI system and calculate the vibration response and vibration reduction rate of the main structure; specifically:

[0121] The main structure can be simplified to N according to the number of floors. s The lumped mass model with 1 degree of freedom is used. The TLD is transformed into the TMD model using the equivalent linearization method. The coupled motion equation of the structure-TLDI system can be expressed as follows:

[0122]

[0123]

[0124] Where M s , C s , K s are the mass matrix, damping matrix and stiffness matrix of the structure respectively; m eq 、c eq , k eq are the mass, damping and stiffness of the equivalent TMD, respectively, where the equivalent TMD mass m eq The effective mass M T , c eq , k eq The specific calculation formula is as follows:

[0125]

[0126] k eq =m eq (2πf w ) 2

[0127] c eq =2m eq (2πf w ) T

[0128] X(t), are the structural displacement vector, velocity vector and acceleration vector respectively; y(t), are the displacement vector, velocity vector and acceleration vector of the whole TLD device (track trolley) respectively; u(t), are the relative displacement, relative velocity and relative acceleration of the equivalent TMD respectively; l p , l r is the positioning vector, which represents two N vectors whose pth and rth elements are 1 and the rest are 0. sDimension column vector, in this implementation case, p = 64, r = 50, indicating that the TLD device and the inertia container device are installed on the 64th and 50th floors respectively; Fw is the wind load vector;

[0129] The vibration reduction effect of TLD is measured by the vibration reduction rate η. The specific formula is:

[0130]

[0131] In the formula, σ′ s and σ s They represent the RMS values ​​of the top acceleration responses before and after the structure is controlled.

[0132] S6. Determine whether the new tuned liquid damper (TLDI) with inertia container can achieve the desired control effect for the controlled structure; specifically:

[0133] Based on step 6, the vibration reduction rate η of TLDI is obtained. If η is less than the preset control target, it means that TLDI fails to achieve the expected control effect, and it is necessary to return to step 2 for redesign, including changing the installation floor of the inertia volume device, the mass ratio μ of the structure-TLD device, the inertia volume ratio β of the inertia volume device, etc.; if η is greater than or equal to the preset control target, it means that TLDI achieves the expected control effect, and the corresponding TLDI design parameters are used as the final design scheme of the present invention.

[0134] In this embodiment, when the TLD device and TLDI device are installed on the structure, the top displacement and acceleration response time of the front and rear structures are as follows: Figure 4a , Figure 4b The vibration reduction effect is shown in the following table:

[0135] Table 1 Acceleration response and vibration reduction effect before and after installation of TLD and TLDI devices

[0136]

[0137]

[0138] The top displacement and acceleration response power spectrum before and after the structure is controlled is as follows: Figure 5a ,like Figure 5b As shown, it shows that the TLDI device has a significant advantage in controlling multiple modes simultaneously compared with the traditional TLD device.

[0139] In specific implementation: the present invention combines an inertial volume system with an apparent mass enhancement effect with a traditional rectangular TLD device to form a new type of tuning vibration reduction device; first, the equivalent linearization method is used to establish the motion equation of the structure-TLDI system, and the calculation formula of the corresponding parameters is given, and then the actual vibration reduction effect of the structure-TLDI system is solved by a numerical method, and finally the actual vibration reduction effect is compared with the control requirements, and the various parameter settings of the TLDI device are adjusted to obtain a TLDI design scheme that meets the actual needs of the project; the present invention can achieve a good vibration reduction effect while achieving lightweight vibration reduction devices, avoiding the adverse effects of excessive tuning liquid mass on the structure of the traditional TLD device; secondly, the present invention can achieve multi-modal control of the structure without increasing the tuning mass of the liquid, effectively slowing down the complex multi-modal coupling response of the structure, and improving the engineering applicability of the TLD device. Finally, the design method of upgrading TLD to TLDI in the present invention is superior to the same type of TLCDI and TMDI devices in terms of economy and space utilization, and has higher application value in actual engineering.

Claims

1. A novel design method for a tuned liquid damper with an inertia container, characterized in that: It includes a TLD device, a fire water tank, a rail trolley, a linear spring, a damping element, a pulley, a transmission steel cable, an inertia device, a flywheel, a rack and a gear; the TLD device is connected to one side of the rail trolley, the fire water tank is fixed above the rail trolley, the linear spring and the damping element are respectively connected to both sides of the rail trolley, the pulley is installed on the top layer and the top of the refuge layer and has the transmission steel cable ring on the outside, and the flywheel, rack and gear are installed inside the inertia device.

2. A novel design method for a tuned liquid damper with an inertia container, characterized in that: A novel tuned liquid damper with an inertia container as claimed in claim 1 comprises 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; S2. Design the effective mass, sway frequency and damping ratio of the TLD device according to the dynamic characteristic parameters of the controlled structure; S3. Design the geometric dimensions and water storage height of the TLD in consideration of the structural plane shape and space limitations of the floor where the TLD device is located; S4. Design the inertia coefficient β of the inertia device based on the mass of the main structure; S5, calculating the stiffness K of the linear spring element connected to the TLD device and the damping coefficient C of the damping element; S6. Establish the motion equation of the main structure-TLDI system and calculate the vibration response and vibration reduction rate of the main structure; S7. Determine whether the new tuned liquid damper with inertia container (TLDI) can achieve the desired control effect for the controlled structure.

3. A novel tuned liquid damper design method with an inertia container according to claim 2, characterized in that: Step S1 is specifically as follows: 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 to the bottom of the refuge floor slab. The TLD device and the inertial container device are connected by pulleys and transmission cables.

4. A novel tuned liquid damper design method with an inertia container according to claim 3, characterized in that: Step S2 is specifically as follows: Obtain the mass and stiffness information of each floor of the controlled structure, and use the vibration mode superposition method to calculate the fundamental modal mass M of the controlled structure S , fundamental natural frequency f s , then design a suitable mass ratio μ and calculate the effective mass M of the TLD device T , the specific formula is: M T =μM S According to the fundamental natural frequency f of the controlled structure s and the mass ratio μ of the structure to the TLD device, calculate the shaking frequency f when the TLD device achieves the optimal control effect T and damping ratio ζ T , the specific formula is as follows: Determine the mass ratio μ of the structure and the TLD device, and the optimal sloshing frequency f T and damping ratio ζ T .

5. A novel method for designing a tuned liquid damper with an inertia container according to claim 4, characterized in that: Step S3 is specifically as follows: According to the dynamic characteristic parameters of the TLD device calculated in step 2, the size of the TLD device is designed, the length L of the TLD device is determined, and the water storage height h of the TLD device is calculated by the theoretical formula of the fundamental modal frequency of the rectangular TLD device. The specific formula is as follows: Where g is the gravitational acceleration, the water storage height h needs to meet the floor height limit of the TLD floor, and the effective mass M of the TLD device obtained in step 2 is T , calculate the width W of TLD, the specific formula is: M T =γM w Where M w represents the total mass of the liquid in the TLD, γ represents the mass participation coefficient; the width W needs to meet the space limitations of the TLD installation location.

6. A novel method for designing a tuned liquid damper with an inertia container according to claim 5, characterized in that: Step S4 is specifically as follows: The inertia device transmits flywheels with different radii by meshing gears with each other, converting the linear motion of the two ends of the rack into the rotational motion of the flywheel. Through the mutual transmission between gears of different levels, the apparent mass caused by the rotational inertia of the flywheel can reach an order of magnitude multiple of the actual physical mass. The required apparent mass b (also called inertia coefficient) can be obtained by adjusting the transmission ratio between flywheels or increasing or decreasing the number of gears. The calculation formula is as follows: Where M f is the actual physical mass of the flywheel; r f is the flywheel radius, r pf is the radius of the flywheel transmission gear; r i 、r pi They are the inner and outer radii of each level of transmission gears respectively; The formula for calculating the output at both ends of the inertia capacity device is as follows: F b =b(ü1-ü2) In the formula, ü1 and ü2 are the accelerations at both ends of the inertia device, and the inertia ratio β is defined as: Where M os Represents the total mass of the controlled main building.

7. A novel method for designing a tuned liquid damper with an inertia container according to claim 6, characterized in that: Step S5 is specifically as follows: The frequency ratio and damping ratio of the TLDI device when achieving the ideal control effect are calculated according to the following formula: Where α is the correction coefficient, which corrects the influence of sloshing water mass on the system. It is obtained based on spectrum analysis and is set to 1.15; μ TLDI is the total mass of TLD M w The total mass of the controlled main building M os The ratio is: According to the mass of the TLD device in step 2 and the inertia coefficient in step 4, the TLDI device frequency ratio v TLDI , damping ratio ξ TLDI The calculation formula is as follows: Where ω1 is the fundamental natural frequency of the structure; K is the stiffness of the linear spring element connected to the TLD; and C is the damping coefficient of the damping element. Then the ideal frequency ratio v calculated in the above formula is TLDI , damping ratio ξ TLDI By substituting the above, we can calculate the stiffness K of the linear spring element and the damping coefficient C of the damping element when the TLDI device achieves the ideal control effect.

8. A novel method for designing a tuned liquid damper with an inertia container according to claim 7, characterized in that: Step S6 is specifically as follows: The main structure can be simplified to N according to the number of floors. s The lumped mass model with 1 degree of freedom is used. The TLD device is transformed into a TMD model using the equivalent linearization method. The coupled motion equation of the structure-TLDI system can be expressed as follows: Where M s , C s , K s are the mass matrix, damping matrix and stiffness matrix of the structure respectively; M eq 、c eq , k eq are the mass, damping and stiffness of the equivalent TMD, respectively, where the equivalent TMD mass m eq The effective mass M T , c eq , k eq The specific calculation formula is as follows: k eq =m eq (2πf w ) 2 c eq =2m eq (2πf w )g T X(t), are the structural displacement vector, velocity vector and acceleration vector respectively; y(t), are the displacement vector, velocity vector and acceleration vector of the whole TLD device (track trolley) respectively; u(t), ǖ(t) are the relative displacement, relative velocity and relative acceleration of the equivalent TMD device; l p , l r is the positioning vector, which represents two N vectors whose pth and rth elements are 1 and the rest are 0. s Dimension column vector, in this implementation case, p = 64, r = 50, indicating that the TLD device and the inertia container device are installed on the 64th and 50th floors respectively; Fw is the wind load vector; The vibration reduction effect of TLD is measured by the vibration reduction rate η. The specific formula is: In the formula, σ′ s and σ s They represent the RMS values ​​of the top acceleration responses before and after the structure is controlled.

9. A novel method for designing a tuned liquid damper with an inertia container according to claim 8, characterized in that: Step S7 is specifically as follows: Based on step 6, the vibration reduction rate η of TLDI is obtained. If η is less than the preset control target, it means that TLDI fails to achieve the expected control effect, and it is necessary to return to step 2 for redesign, including changing the installation floor of the inertia container device, the mass ratio μ of the structure-TLD system, the inertia ratio β of the inertia container device, etc.; if η is greater than or equal to the preset control target, it means that TLDI achieves the expected control effect, and the corresponding TLDI design parameters are used as the final design scheme of the present invention.

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