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中南大学学报(自然科学版)

Journal of Central South University

第47卷    第4期    总第260期    2016年4月

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文章编号:1672-7207(2016)04-1338-08
非弹性结构随机地震反应及概率位移需求分析实用方法
尹犟1,周先雁1,易伟建2,陈伯望1,段绍伟1

(1. 中南林业科技大学 土木工程与力学学院,湖南 长沙,410004;
2. 湖南大学 土木工程学院,湖南 长沙,410000
)

摘 要: 探讨常规Pushover分析法的优劣,介绍改进后的模态Pushover分析法(即改进MPA法)。基于概率统计理论和Pushover分析法的基本思想,分别推导2种分析多自由度结构非弹性随机地震反应和概率位移需求的实用方法。方法Ⅰ采用常规POA方法将多自由度结构等效为单自由度体系,而方法Ⅱ则主要基于改进的 MPA法。研究结果表明:采用方法Ⅰ估计所得结构顶点位移需求概率接近Monte Carlo数值模拟结果,采用方法Ⅱ估计所得结构层间位移需求概率与概率IDA法的分析结果基本吻合。这2种方法具有准确、高效且便于操作的优点,与大量非线性时程分析为基础的数值方法相比,其复杂程度低,运算效率高。

 

关键词: 非弹性结构;随机地震反应;概率地震需求;位移需求

Practical method for random seismic response and probabilistic displacement demand analysis of inelastic structures
YIN Jiang1, ZHOU Xianyan1, YI Weijian2, CHEN Bowang1, DUAN Shaowei1

1. College of Civil Engineering and Mechanics,
Central South University of Forestry and Technology, Changsha 410004, China;
2. College of Civil Engineering, Hunan University, Changsha 410000, China

Abstract:The benefits and limitations of conventional Pushover analysis(POA) method was studied, and the basic procedure of an improved modal pushover analysis (MPA) method was proposed. Based on probability statistical theory and the baisic principle of Pushover analysis method, two kinds of practical methods were proposed for analyzing random seismic response and probabilistic displacement demand of multi-degree-of-freedom inelastic systems. For the proposed methodⅠ, the multi-degree-freedom structure is equivalent to a single-degree-freedom system by using the conventional POA method. For the proposed method Ⅱ, the improved MPA method was used. The results show that the probabilistic demands of roof displacement obtained from proposed method Ⅰare very close to that from Monte Carlo method, and the probabilistic demands of inter-story drift derived from the proposed method II are basically close to those from the probabilistic IDA (incremental dynamic analysis) method. The recommended practical methods are accurate, efficient and easy to operate, and its complexity and calculation work are far less than those of numerical methods based on a large number of non-linear time-history analysis.

 

Key words: inelastic structures; random seismic response; probabilistic seismic demand; displacement demand

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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