（1 中国建筑科学研究院，北京 100013，2 中国核电工程有限公司郑州分公司，郑州 450052）

[摘要]  概述了冗余度的研究现状，并基于已有研究成果及能力需求谱理论，提出了新的定量评估结构冗余度指标，给出了该指标的详细推导过程和计算方法。案例分析表明，该冗余度指标合理、有效，能够准确反映结构体系的冗余度变化，可作为判别结构关键构件的工具。

[关键词]  冗余度；能力需求谱；推覆分析；抗倒塌

中图分类号：TU312       文献标识码：A      文章编号：

作者简介：左琼，博士，工程师，Email:qiongzuo@gmail.com。

Measures of structural redundancy in reinforced concrete structures

Zuo Qiong¹, Xu Huiye², Luo Kaihai¹

(1 China Academy of Building Research, Beijing 100013, China;

2 China Nuclear Power Engineering Co., Ltd., Zhengzhou Branch, Zhengzhou 450052, China)

Abstract: The research on redundancy index is reviewed. Based on the results of redundancy and the capacity-demand spectral theory, a new quantitative assessment of structural redundancy is proposed and the derivation process of the formulas and calculation method is described in detail. Case analysis shows that the redundancy index, which is proved reasonable and effective, can accurately calculate the structural redundancy of the system and can determine the structural key component of the system as a measure.

Keywords: redundancy; capacity-demand spectra; pushover analysis; seismic collapse resistance

参考文献

[1] MCGUIRE W, GALLAGHER R H. Matrix structural analysis [M]. New York: Wiley & Sons, 1979.

[2] BERTERO R D, BERTERO V V. Redundancy in earthquake resistant design [J]. Journal of Structural Engineering, ASCE, 1999, 125(1):81-88.

[3] LIAO K W, WEN Y K et al. Evaluation of 3D steel moment frames under earthquake excitations II: reliability and redundancy [J]. Journal of Structural Engineering, ASCE, 2007, 133(3): 471-480.

[4] BENNET R M. Reliability analysis of frame structures with brittle components [J]. Structural Safety, 1985(2): 281-290.

[5] GOLLWITZER S, RACKWITZ R. On the reliability of daniels systems [J]. Structural Safety, 1990, (7):229-243.

[6] FRANGOPOL D M, CURLEY J P. Effects of damage and redundancy on structural reliability [J]. Journal of Structural Engineering, ASCE, 1987, 113(7):1533-1547.

[7] PANDEY P C, BARAI S V. Structural sensitivity as a measure of redundancy [J]. Journal of Structural Engineering, ASCE, 1997, 123(3): 360-364.

[8] HUSAIN M, TSOPELAS P. Measures of structural redundancy in reinforced concrete buildings. I: Redundancy Indices [J]. Journal of Structural Engineering, ASCE, 2004, 130(11): 1651-1658.

[9] ATC-40. Seismic evaluation and retrofit of concrete buildings [R]. California: Applied Technology Council, 1996.

[10] ATC-19. Structural response modification factors [R]. California: Applied Technology Council,1995.

[11]LÉGERON F, PAULTRE P. Uniaxial confinement model for normal- and high-strength concrete columns [J]. Journal of Structural Engineering, ASCE, 129(2):241-252.

[12]汪训流，叶列平，陆新征.往复荷载下钢筋混凝土柱受力性能的数值模拟[J].工程力学，2007，24(12)：76-81.

[13]黄羽立，陆新征，叶列平等.基于多点位移控制的推覆分析算法[J].工程力学，2011，28(2)：18-23.