Practical Algorithm for Dynamic Response Factor of Tall Buildings Based on Bending-Shearing Beam Model and Von Karman’s Wind Speed Spectrum

Abstract:

In order for the mode functions adopted in the formulation of dynamic response factor （DRF） or gust loaded factor （GLF） to fit better to the modes of real tall buildings and be easy for calculation， tall buildings with uniform cross sections are modeled as cantilever bending-shearing beams and a simplified fundamental vibration mode with high accuracy is adopted. A practical algorithm for the DRF of tall buildings based on the bending-shearing beam model and its simplified mode is proposed. Von Karman’s wind speed spectrum and Davenport’s spatial correlation function in frequency domain are adopted in the algorithm. The results of the DRF given by the algorithm are compared with those given by the Chinese wind loading code （GB50009—2012） through numerical examples. The result shows that the simplified algorithm for the DRF of tall buildings given in this paper considered the modal characteristics of different tall buildings， and are both accurate， simple to use， and easy to connect with main foreign wind loading codes.

Key words:tall buildings;dynamic response factor (DRF);wind loading codes;bending-shearing beam model;Von Karman’s wind speed spectrum;Davenport’s spatial correlation function in frequency domain