Research on Equivalent Static Load of High-Rise Buildings Based on Wind-Induced Responses

To study the influence of dynamic response of a high-rise building under wind loads on the along-wind equivalent static wind load, the wind-induced response of high-rise buildings was studied using the random vibration mode decomposition method. This method is based on the wind-induced response dynamics theory, the relationship between the pulsating wind power spectral density function and the coherent function, and the quasi-stationary relationship of the pulsating wind speed. First, theoretical analyses of the average wind response, background wind response, and resonance wind response of high-rise buildings were performed, and the theoretical calculation formula of the along-wind equivalent static wind load of high-rise buildings along its height was deduced. Second, the influence of each parameter on the calculation result in the theoretical formula is analysed, and a simplified calculation method for the along-wind equivalent static wind load of the high-rise building is presented, which is convenient for practical applications. Finally, four typical example models of high-rise buildings are designed and compared with the gust load factor（GLF）and inertial wind load（IWL）methods, and the feasibility and effectiveness of our method are investigated. The results demonstrate that when the height of the structure is less than 250 m, the deviations of the distributed wind force, shear force response, and bending moment response calculated by the three methods are large, the calculation result by the GLF method is the largest, and the calculation result by the IWL method is the smallest; the method proposed in this paper is between the two; when the structural height is greater than 350 m, the deviation of the distributed wind force is within 15%, and the deviation between the shear response and the bending moment response is within 10%; the difference between our proposed method and the IWL method in that the shear response is between –1% and 18% and that the difference between our method and the GLF method is between –12% and 5%; when our proposed method and the IWL method are applied to the moment response, the difference rate is between –6% and 10%, and the difference with the GLF method is between –16% and 5%.