高层建筑结构刚重比限值误差与质量修正研究

STUDY ON THE LIMIT ERROR AND MASS CORRECTION OF THE STIFFNESS-TO-WEIGHT RATIO OF HIGH-RISE BUILDING STRUCTURES

  • 摘要: 针对当前在高层建筑结构整体稳定和重力二阶效应控制中普遍采用的刚重比控制方法,以及业界普遍接受的质量不均匀修正方法,指出规范刚重比限值由于简化处理产生误差,刚重比与荷载屈曲因子难以匹配。通过理论和数值分析,针对质量不均匀通过拟合提出了新的质量调整系数计算公式。结果表明:规范刚重比限值由于在集中质量向分布质量转化中采取了近似计算方法,导致最终刚重比控制限值偏高,是一种偏保守的做法。基于经典理论讨论了采用直接求解挠曲方程的方法获得的结果,并通过数值方法进行验证,结果表明数值方法能合理再现经典理论结果。利用经典理论结果并结合数值模拟进行参数分析,进一步提出对原有质量调整方法进行修正,并通过数据拟合给出修正计算表达式,明确了修正操作步骤。新的修正方法表明,对于下大上小质量分布的实际工程,采用该文方法刚重比可放大大约6%~13%。最后通过一个实际工程案例对该文建议的方法实施验证,同时结合公开文献中的另外4个案例数据进行重新计算,结果表明该文方法可以获得更加合理的控制效果,与屈曲荷载因子具有更好的一致性。

     

    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.

     

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