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A new evolutionary polynomial regression technique to assess the fundamental periods of irregular buildings

机译：一种新的进化多项式回归技术，以评估不规则建筑的基本阶段

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摘要

The main seismic design codes propose simplified formulations to evaluate the fundamental period of regular structures based on the total height. Indeed, the fundamental period depends on several parameters directly connected to the mass and stiffness of the structure and on its geometrical characteristics, including also irregularities.This paper proposes a set of mathematical formulations to evaluate the longitudinal and transversal fundamental period of vibration of 3D Reinforced Concrete (RC) frames, which have various vertical and plan irregularities and for different mechanical and geometrical design parameters.Several types of Reinforced Concrete Bare Moment Resisting Frame (RC-BMRF) buildings have been designed according to the different versions of the Italian codes starting from 1916 to nowadays and then used as case studies. Modal analysis is performed on the entire building dataset to assess the fundamental periods in both longitudinal and transversal directions. Then, cluster analysis is carried out to classify the buildings based on similar design characteristics and construction details. Finally, a robust Evolutionary Polynomial Regression (EPR) technique is used to find the optimal polynomial forms of the natural period. Numerical results show a better performance of the proposed formulation compared with the existing methodologies available in the literature.
机译：主要地震设计码提出了简化的制剂，以评估基于总高度的常规结构的基本时期。实际上，基本时期取决于几个参数直接连接到结构的质量和刚度以及其几何特征，包括不规则性。本文提出了一系列数学制剂来评估3D增强的振动的纵向和横向基本时期。混凝土（RC）框架，具有各种垂直和规划违规行为和不同的机械和几何设计参数。根据意大利代码的不同版本设计，设计了钢筋混凝土裸机抗框架（RC-BMRF）建筑物的抗议框架（RC-BMRF）建筑物从1916年到现在，然后用作案例研究。在整个建筑物数据集上执行模态分析，以评估纵向和横向方向上的基本时段。然后，进行群集分析，以基于类似的设计特征和施工细节对建筑物进行分类。最后，稳健的进化多项式回归（EPR）技术用于找到自然周期的最佳多项式形式。与文献中可用的现有方法相比，数值结果表明了所提出的配方的性能更好。

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