摘要: |
为了使不同地区的结构在地震作用下具有相同的倒塌概率,对一致风险谱进行了研究。本文首先通过概率地震危险性分析得到了西安地区的一致危险谱,通过风险积分法得到了西安地区的一致风险谱,将一致危险谱与一致风险谱进行对比发现,基于一致危险谱进行抗震设计的建筑结构在地震作用下具有不同的倒塌概率。然后通过近似解析法构建了西安地区的一致风险谱,将两种方法得到的一致风险谱进行对比发现,如果地震危险性函数能够很好地描述场地的地震危险性,两种方法得到的一致风险谱相差很小。最后分析了结构地震易损性的对数标准差β对一致风险谱、风险系数Rc、风险导向地震动参数的比例系数的影响。研究表明:β对大震一致风险谱的影响不大,β≤0.7时,对中震一致风险谱的影响大,β>0.7时,对巨震一致风险谱的影响大;β<0.7时,Rc随着β增大而减小,β≥0.7时,Rc随着β增大而增大;β对风险导向巨震和风险导向中震之间的比例系数的影响大于对风险导向大震和风险导向中震之间的比例系数的影响。 |
关键词: 一致风险谱 一致危险谱 风险积分法 近似解析法 参数影响分析 |
DOI:10.11918/202007110 |
分类号:TU312 |
文献标识码:A |
基金项目:国家自然科学基金(51678209) |
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Construction of uniform hazard spectra and uniform risk spectra in Xi’an region |
WANG Cong1,2,Lü Dagang1,2
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(1.Key Lab of Structures Dynamic Behavior and Control (Harbin Institute of Technology), Ministry of Education, Harbin 150090, China; 2.Key Lab of Smart Prevention and Mitigation of Civil Engineering Disasters (Harbin Institute of Technology), Ministry of Industry and Information Technology, Harbin 150090, China)
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Abstract: |
To ensure that the structures in different regions have the same collapse probability under earthquakes, uniform risk spectra are investigated in this paper. First, the uniform hazard spectra of Xi’an region were obtained through probabilistic seismic hazard analysis, and the uniform risk spectra were obtained through risk integral method. By comparing the uniform hazard spectra with the uniform risk spectra, it was found that seismic design based on the uniform hazard spectra resulted in different collapse probabilities of structures under earthquakes. Then, the uniform risk spectra in Xi’an region were constructed through analytical method, and the uniform risk spectra obtained by risk integral method and analytical method were compared. It was found that the difference in the uniform risk spectra was small if the seismic hazard of the site was well described by the seismic hazard function. Finally, the effects of the logarithmic standard deviation (β) of seismic fragility on the uniform risk spectra, risk coefficient (Rc), and coefficient among risk-targeted ground motions were analyzed. Results show that β had little effect on the uniform risk spectra of maximum considered earthquake, while it had significant effect on the uniform risk spectra of design basis earthquake and very rare earthquake when β was less than or equal to 0.7 and greater than 0.7, respectively. When β was less than 0.7, Rc decreased with the increase of β, while Rc increased with the increase of β when β was greater than or equal to 0.7. The effect of β on the coefficient between the risk-targeted very rare earthquake and design basis earthquake was greater than that on the coefficient between the risk-targeted maximum considered earthquake and design basis earthquake. |
Key words: uniform risk spectra uniform hazard spectra risk integral method analytical method parameter effect analysis |