CN-122021195-A - Viscous damping wall vibration attenuation performance analysis method based on finite element analysis

CN122021195ACN 122021195 ACN122021195 ACN 122021195ACN-122021195-A

Abstract

The application relates to the technical field of finite element analysis, in particular to a viscous damping wall vibration attenuation performance analysis method based on finite element analysis, which comprises the steps of establishing a finite element model of a high-rise building structure, carrying out undamped modal analysis on the finite element model, extracting a mass matrix and a stiffness matrix, reading modal vectors of a dominant mode, and calculating natural frequencies and modal masses of the dominant mode; the method comprises the steps of carrying out simulation experiments on a finite element model, obtaining an equivalent modal damping ratio of a high-rise building structure, carrying out pre-estimation on peak displacement of the finite element model with viscous damping walls, comparing and judging a pre-estimation result with design requirements, adjusting additional damping ratios, determining total viscous damping coefficients of the high-rise building structure, determining nominal damping coefficients of the viscous damping walls, and continuously adjusting damper units in the finite element model to enable the finite element model with the viscous damping walls to meet the design requirements. The application can improve the analysis and design efficiency of the damping performance of the viscous damping wall.

Inventors

XUE GUOQIANG
LIU XIN
SHI CHENG
WANG HUIQIANG
WANG ZI

Assignees

苏州工学院

Dates

Publication Date: 20260512
Application Date: 20260413

Claims (10)

1. The viscous damping wall vibration attenuation performance analysis method based on finite element analysis is characterized by comprising the following steps of: Establishing a finite element model of a high-rise building structure, performing undamped modal analysis on the finite element model, extracting a mass matrix and a stiffness matrix, reading a modal vector of a dominant mode, and calculating the natural frequency and modal quality of the dominant mode; Performing simulation experiments on the finite element model to obtain an equivalent modal damping ratio of the high-rise building structure, performing anti-seismic analysis on the finite element model without viscous damping wall, estimating the peak displacement of the finite element model with the viscous damping wall according to the peak displacement condition of the finite element model without viscous damping wall and the set additional damping ratio, comparing and judging the estimated result with the design requirement, and adjusting the additional damping ratio until the estimated result meets the design requirement; Determining the total viscous damping coefficient of the high-rise building structure based on the finally determined additional damping ratio, the natural frequency of the dominant mode and the modal mass, distributing the total viscous damping coefficient to different viscous damping walls, and determining the nominal damping coefficient of each viscous damping wall; In the finite element model, a damper unit is established according to a preset arrangement scheme, a nominal damping coefficient is imported, and the damper unit in the finite element model is continuously adjusted according to the result of anti-seismic analysis, so that the finite element model with the viscous damping wall meets the design requirement.
2. The method for analyzing vibration damping performance of a viscous damping wall based on finite element analysis according to claim 1, wherein the natural frequency is The calculation formula of (2) is as follows: , wherein, The modal vector is represented as a function of the modal vector, Representing a matrix of stiffness values, The quality matrix is represented by a matrix of qualities, Representation of Is a transposed matrix of (a).
3. The method for analyzing vibration damping performance of viscous damping wall based on finite element analysis according to claim 2, wherein modal mass of dominant mode The calculation formula of (2) is 。
4. The method for analyzing damping performance of a viscous damping wall based on finite element analysis according to claim 1, wherein the step of obtaining the equivalent modal damping ratio of the high-rise building structure comprises the steps of performing undamped modal analysis on a finite element model for one time to obtain a first-order mode, giving actual material damping in the same finite element model, performing complex modal analysis on the finite element model, and outputting the damping ratio of the first-order mode as the equivalent modal damping ratio of the high-rise building structure.
5. The method for analyzing vibration damping performance of a viscous damping wall based on finite element analysis according to claim 1, wherein estimating peak displacement of the finite element model with the viscous damping wall comprises: performing anti-seismic analysis on the finite element model of the non-viscous damping wall to obtain peak displacement corresponding to the finite element model of the non-viscous damping wall; peak displacement with viscosity damping wall and finite element model corresponding to pre-estimated peak value The calculation formula of (2) is as follows: , wherein, Representing the peak displacement corresponding to the finite element model of the non-viscous damping wall, Representing the equivalent modal damping ratio, Is a preset additional damping ratio.
6. The method for analyzing damping performance of a viscous damping wall based on finite element analysis according to claim 5, wherein comparing the estimated result with the design requirement comprises increasing an additional damping ratio if the estimated peak displacement corresponding to the finite element model with the viscous damping wall does not satisfy a preset limit value, so that the estimated peak displacement satisfies the preset limit value.
7. The method for analyzing vibration damping performance of a viscous damping wall based on finite element analysis according to claim 1, wherein the total viscous damping coefficient is The calculation formula of (2) is as follows: , wherein, In order to adjust the additional damping ratio after adjustment, Representing the modal quality of the dominant modality, Is the natural frequency of the dominant mode.
8. The method for analyzing vibration damping performance of a viscous damping wall based on finite element analysis according to claim 1, wherein the nominal damping coefficient is a ratio between a total viscous damping coefficient and a preset number of viscous damping walls.
9. The method for analyzing vibration damping performance of a viscous damping wall based on finite element analysis according to claim 1, wherein the result of the vibration damping analysis comprises performing vibration damping analysis on a finite element model for creating a damper unit, and extracting interlayer displacement of each floor in the finite element model.
10. The method for analyzing damping performance of a viscous damping wall based on finite element analysis according to claim 9, wherein the continuously adjusting the damping units in the finite element model comprises the steps of increasing the nominal damping coefficient of the damping units of the floor, adjusting the positions of the damping units and increasing the number of the damping units at the floor if floors with interlayer displacement exceeding a preset value exist, synchronously adjusting the configuration of the nominal damping coefficients in the damping units of other floors, and ensuring that the difference between the sum value of the nominal damping coefficients of all the damping units and the total viscous damping coefficient is smaller than the preset percentage of the total viscous damping coefficient, and continuously adjusting the interlayer displacement of each floor in the finite element model to meet the design target.

Description

Viscous damping wall vibration attenuation performance analysis method based on finite element analysis Technical Field The application relates to the technical field of finite element analysis, in particular to a viscous damping wall vibration attenuation performance analysis method based on finite element analysis. Background The viscous damping wall is used as an efficient energy dissipation and shock absorption device, and generates damping force to dissipate energy when viscous fluid in the viscous damping wall moves relatively between structural layers, so that the dynamic response of a building structure is remarkably reduced, and the viscous damping wall becomes one of key technologies for improving the toughness and the safety of the building structure. The vibration damping performance of the viscous damping wall is analyzed by adopting a finite element method, so that the dynamic response of the building structure with the viscous damping wall under the action of earthquake or other dynamic loads is evaluated, and a designer can ensure that the vibration damping performance meets the design requirement in the scheme design stage, and the excessive increase of the section or post reinforcement is avoided. In the traditional finite element analysis method, a damper is generally regarded as a local nonlinear unit, complete time-course analysis must be operated in a complex finite element model containing a large number of degrees of freedom, damping parameters are coupled with structural modal characteristics and are changed along with seismic wave frequency spectrums, the mapping relation between the damping parameters and displacement response is not clear, a large number of blind iterative trial and error is relied on, the size of the damper cannot be rapidly determined in early design, an expected damping effect is not provided, and the damping performance analysis and design efficiency of a viscous damping wall are low. Disclosure of Invention In order to solve the technical problems, a viscous damping wall vibration attenuation performance analysis method based on finite element analysis is provided to solve the existing problems. The application provides a viscous damping wall vibration attenuation performance analysis method based on finite element analysis, which comprises the following steps: Establishing a finite element model of a high-rise building structure, performing undamped modal analysis on the finite element model, extracting a mass matrix and a stiffness matrix, reading a modal vector of a dominant mode, and calculating the natural frequency and modal quality of the dominant mode; Performing simulation experiments on the finite element model to obtain an equivalent modal damping ratio of the high-rise building structure, performing anti-seismic analysis on the finite element model without viscous damping wall, estimating the peak displacement of the finite element model with the viscous damping wall according to the peak displacement condition of the finite element model without viscous damping wall and the set additional damping ratio, comparing and judging the estimated result with the design requirement, and adjusting the additional damping ratio until the estimated result meets the design requirement; Determining the total viscous damping coefficient of the high-rise building structure based on the finally determined additional damping ratio, the natural frequency of the dominant mode and the modal mass, distributing the total viscous damping coefficient to different viscous damping walls, and determining the nominal damping coefficient of each viscous damping wall; In the finite element model, a damper unit is established according to a preset arrangement scheme, a nominal damping coefficient is imported, and the damper unit in the finite element model is continuously adjusted according to the result of anti-seismic analysis, so that the finite element model with the viscous damping wall meets the design requirement. Preferably, the natural frequencyThe calculation formula of (2) is as follows: , wherein, The modal vector is represented as a function of the modal vector,Representing a matrix of stiffness values,The quality matrix is represented by a matrix of qualities,Representation ofIs a transposed matrix of (a). Preferably, the modal mass of the dominant modalityThe calculation formula of (2) is。 Preferably, the method for acquiring the equivalent modal damping ratio of the high-rise building structure comprises the steps of firstly carrying out one-time undamped modal analysis on the finite element model to acquire a first-order modal, endowing actual material damping in the same finite element model, and then carrying out complex modal analysis on the finite element model to output the damping ratio of the first-order modal as the equivalent modal damping ratio of the high-rise building structure. Preferably, the estimating the peak displacement of the finite element