The assessment for the thresholds of different damage state plays a vital role in the performance-based seismic design of earthquake-resistant structures. Although fast evaluation for limit curvature of slight damage (DS1) is presented in specifications and literature, quantitative models for other damage states, i.e. moderate damage (DS2), extensive damage (DS3), and collapse damage (DS4) curvature are not clearly illustrated. Therefore, an uncoupled multivariate power model (UCMV-PM), i.e., multivariate logarithm linearity models is proposed to estimate the curvature ductility of four damage states of column sections by considering the effects of four factors (section dimensional (L): 1 to 3 m, volumetric percentage of the reinforcement (ρ_l): (0.01 to 0.03), transverse volumetric steel ratio(ρ_s): (0.01 to 0.03), axial compression ratio (R_ac): 0.1 to 0.3). To obtain large sample data, a simplified parametric calculation procedure for moment–curvature (M-φ) curves and each damage state is proposed. Based on the efficient procedure, a sample space of 21⁴ data with four factors and 21 levels is quickly established on a common desktop computer. Finally, verification, comparison, and application of UCMV-PM indicate its characteristics of high accuracy, strong practicability, and wide coverage.

不同损伤状态阈值的评估在基于性能的抗震结构抗震设计中起着至关重要的作用。尽管规范和文献中介绍了对轻微损坏 (DS1) 极限曲率的快速评估，但没有清楚地说明其他损坏状态的定量模型，即中度损坏 (DS2)、广泛损坏 (DS3) 和坍塌损坏 (DS4) 曲率. 因此，提出了一种非耦合多元幂模型（UCMV-PM），即多元对数线性模型，通过考虑四个因素（截面尺寸（L）：1至3）的影响来估计柱截面四种损坏状态的曲率延展性m, 钢筋的体积百分比 ( ρ _l）：（0.01〜0.03），横向体积钢比（ρ_小号）：（0.01〜0.03），轴压比（[R _AC）：0.1〜0.3）。为了获得大样本数据，提出了弯矩-曲率（M-φ）曲线和每个损伤状态的简化参数计算程序。基于高效的程序，在普通台式机上快速建立了一个4因子21个水平的21个⁴数据的样本空间。最后，UCMV-PM的验证、比较和应用表明其具有精度高、实用性强、覆盖面广的特点。