Mass Distribution Sensitivity Analysis for Global Stability Performance of Super High Aspect Ratio Tall Buildings
摘要
The overall stability performance (Stiffness-to-Mass ratio) is a governing indicator in the structural design of super-tall buildings. For many super-tall buildings with extremely high aspect ratios, overall stability performance becomes a controlling constraint. In the design of super-tall buildings, the distribution of floor mass varies, ranging from relatively uniform to designs that taper from bottom to top, placing the center of gravity lower. With technological advancements, architects are pursuing unconventional designs, such as the CITIC Tower, which narrows and then expands from bottom to top. The height of the center of gravity is a key factor affecting the overall stability performance of high-rise buildings, with a lower center of gravity indicating better stability. The specific position of the center of gravity is determined by the distribution of floor mass along the building's height. Factors influencing the mass distribution of floors include the distribution of the building's plan area, changes in the dimensions of main structural components, and the distribution of other loads and non-structural component weights. Unlike the assumptions of standard codes, these super-tall buildings with very high aspect ratios have irregular mass distributions, which may meet the prescribed Stiffness-to-Mass ratio requirements of the codes, but not the modified Stiffness-to-Mass ratios. This paper reviews the relationship between overall stability analysis methods and Stiffness-to-Mass ratio, using a two-dimensional planar model to demonstrate the stability analysis methods, comparing results from Stiffness-to-Mass ratio analysis with those from finite element numerical simulations. For buildings with uneven vertical mass distribution, a modified algorithm is used to calculate the Stiffness-to-Mass ratio, and the results are compared with those unmodified. Finally, the second-order effects of gravity under inverted triangular loads, wind loads, and earthquake forces are analyzed for the Chengdu Garden City International Resort Center.