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Study on Calculation of Wind-induced Base Shear Force of Non-uniform Mass Tall Buildings
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    Abstract:

    As it is difficult to accurately evaluate the base shear force of a tall building with non-uniform mass under the equivalent static wind pressure calculated according to the load code, the vertical spatial correlation conversion coefficient ηz and mass conversion coefficient mcn are proposed to consider the effects of the difference in vertical spatial correlation between multi-degree-of-freedom and infinite-degree-of-freedom systems and non-uniform mass distribution on the base shear forces, respectively, modifying the Chinese load code method in the calculation of the wind-induced base shear forces of non-uniform mass high-rise structures. Moreover, it is validated through two example analysis, respectively. The effects of the vibration mode coefficient, building height, and geomorphology on the vertical spatial correlation conversion coefficient ηz are analyzed in terms of parameters. The results show that the vertical spatial correlation conversion coefficient ηz can reflect the effect of the difference in vertical spatial correlation between multi-degree-of-freedom and infinite-degree-of-freedom systems, and the errors in the case study considering this effect or not are 1.2% or 2.8%, respectively; the errors in the case study considering non-uniform mass or not are less than 5% or 28.5% respectively, which indicates that the mass conversion coefficient mcn can reflect the effects of the mass non-uniform distribution on the base shear forces; and the combination of two coefficients with the load code method can accurately calculate the wind-induced base shear forces of high-rise structures with non-uniform mass. The vertical spatial correlation conversion coefficient increases with the increase of ground roughness and building height, and decreases with the exponential increase of the exponential vibration mode coefficients; the minimum value of ηz in parameter analysis is 0.922, and the error can be more than 5%; without consideration of the effect of the difference in vertical spatial correlation between multi-degree-of-freedom and infinite-degree-of-freedom systems on the base shear forces, the calculation is more conservative based on multi-degree-of-freedom system. For different projects, the value of the mass conversion coefficient mcn should be calculated based on each mass and vibration mode coefficient specifically.

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  • Online: December 05,2024