Abstract:
Regarding the commonly used stiffness-to-weight ratio control method in the overall stability and second-order gravity effect control of high-rise building structures, as well as the widely accepted mass non-uniformity correction method in the industry, this study points out that the stiffness-to-weight ratio limits specified in the codes produce errors due to the simplified processing, and there is a difficulty in matching the stiffness-to-weight ratio with the load buckling factor. Through theoretical and numerical analysis, a new formula for calculating the mass adjustment coefficient is proposed for the uneven mass by fitting. The results show that the stiffness-to-weight ratio limits specified in the codes are overly conservative due to the approximate calculation methods used in the conversion from concentrated mass to distributed mass, leading to higher control limits. Based on classical theory, the results obtained by directly solving the deflection equation were discussed and verified using numerical methods, which confirmed that the numerical approach can reasonably reproduce the classical theoretical results. Combining the classical theoretical results with numerical simulations, a parameter analysis was performed to revise the existing mass adjustment method, and a corrected calculation expression was provided through data fitting, along with explicit operational steps. The new correction method indicates that for practical engineering cases with a mass distribution that is larger at the bottom and smaller at the top, the stiffness-to-weight ratio can be increased by approximately 6% to 13% using the proposed method. Finally, the suggested method was validated through an actual engineering case and further tested using data from four additional cases of published literature. The results show that the proposed method achieves more reasonable control effects and exhibits better consistency with the buckling load factor.