Inversion Of Wind Loads And Wind-induced Responses Of Super High-rise Building

Currently,a large number of supertall buildings have been built in China.For supertall buildings,wind load and wind response are the main control factors for their safety and practicality,and it is important to obtain wind load and wind response data.This paper establishes an inverse analysis model based on the measured structural response of a limited number of floors in a super-high rise building by Kalman filter theory to inverse calculate the wind load and wind induced response of all floors and further investigate the accuracy and robustness of the method.The main research elements are as follows:(1)Through the structural modal transformation,the energy contribution method and effective independent contribution theory are invoked to determine the minimum number of measured floor measurement points and quantify the appropriate measured response floor location selection to solve the inverse calculation problem of limited input floors,which can guarantee the high accuracy of wind load,displacement,velocity and acceleration inversion with a small amount of data input.(2)Based on Augmented Discrete Kalman Filter(ADKF)theory,wind load and wind-induced response inversion methods are established,namely ADKF virtual displacement method and ADKF linear displacement method.Firstly,the structural dynamic equations are transformed into the form of state space equations,and the wind load time equations are assumed to be stochastic processes to derive the Kalman filter equations for wind load and wind-induced response inversion,and the acceleration and displacement responses are integrated through the extension of the observed equations to improve the inversion accuracy.(3)The wind load and wind-induced response are inferred using the existing DKF(Discrete Kalman Filter)method and the proposed ADKF virtual displacement method and ADKF linear displacement method,respectively,using the layer shear structure model and the finite element model of Guangzhou Litong Building as the research objects.The accuracy and applicability of the methods are analyzed by using the time comparison diagram,the mean absolute error,the correlation coefficient and the power spectrum as the evaluation indexes.The results show that the background component of the displacement response of the DKF method is not effective,while the ADKF virtual displacement method and the ADKF linear displacement method improve the situation and have good accuracy.(4)To address the problem of inconsistent sampling frequencies between measured acceleration response and measured displacement response,the linear interpolation method and the Lagrangian interpolation with farrow filter are used to convert the sampling frequencies,convert the frequency of displacement response and input the filter equation for calculation,and the results show that both inversion methods have good accuracy and can solve the problem well.