Evaluation of Wind-Induced Response Bounds of High-Rise Buildings Based on a Nonrandom Interval Analysis Method

Xianglei Wei,Ruohong Zhao,An Xu

doi:10.1155/2018/3275302

Abstract

The traditional wind-induced response analysis of high-rise buildings conventionally considers the wind load as a stationary stochastic process. That is, for a certain wind direction angle, the reference wind speed (usually refers to the mean wind speed at the building height) is assumed to be a constant corresponding to a certain return period. Combined with the recorded data in wind tunnel test, the structural response can be computed using the random vibration theory. However, in the actual typhoon process, the average wind speed is usually time-variant. This paper combines the interval process model and the nonrandom vibration analysis method with the wind tunnel test and proposes a method for estimating the response boundary of the high-rise buildings under nonstationary wind loads. With the given upper and lower bounds of time-variant wind excitation, this method can provide an effective calculation tool for estimating wind-induced vibration bounds for high-rise buildings under nonstationary wind load. The Guangzhou East tower, which is 530 m high and the highest supertall building in Guangzhou, China, was taken as an example to show the effectiveness of the method. The obtained boundary response can help disaster prevention and control during the passage of typhoons.

Highlights

During a real typhoon, average wind speed at the reference height of a building is time-variant
Qiu and Elishakoff proposed a subinterval perturbation method for estimating the static displacement bound of structures with interval parameters [6]
It is only necessary to know the boundary excitation information at an arbitrary time point rather than the exact probability distribution. e solution system is a responsive interval under uncertain excitation. is method reduces the dependence on large sample sizes and considers the correlation between interval variables and provides a new nonlinear interval programming method, which can be used to deal with uncertain optimization problems when there is a dependency relationship among interval variables

Summary

Methodology

{X(t), t ∈ T}, T is the parameter set of time instant t. For the interval process model XI(t), XU(t), and XL(t) are the upper and lower bound functions, respectively. Based on the interval process model, Jiang et al [23] proposed a nonrandom vibration analysis method. In this method, the timevarying uncertain excitation is treated as an interval process model, and the corresponding structural response is the interval form of the upper and lower boundaries. The timevarying uncertain excitation is treated as an interval process model, and the corresponding structural response is the interval form of the upper and lower boundaries In practical applications, this nonrandom vibration analysis method, combined with HFFB technology, can estimate the structural response boundaries of tall buildings and give nonstationary reference wind speeds. FU(t) , m (29b) where FU(t) is the upper bound of excitation force and FL(t) is the lower bound of excitation force

Data Process Method for HFFB Wind Tunnel Test

Case Study

22 Upper bound

Conclusions