基于相对可靠度思想的DDBD抗震设计方法
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摘要
以我国现行规范设计结构隐含的性态目标的平均可靠度水准为基础,在DDBD方法中建立了相对可靠度理论体系,并提出了具体方法。在该文所提具体方法中,对于任一性态目标,均转化为以多遇地震作为预期地震风险水平进行可靠度计算,且DDBD法可靠度是通过与现有基于力抗震设计方法可靠度的比值形式体现的,既保持了与现行规范可靠度的传承,又避免了一般情况下可靠度的复杂计算。同时,论证了在多遇地震下DDBD方法所得基底剪力计算值与现行规范基于力方法基底剪力计算值理论上相等,并对其实际存在的计算误差进行修正,确定了DDBD方法截面承载力计算公式。最后,通过算例对比分析初步验证了此理论思路的有效性、优越性。
Based on the average reliability level of structures designed according to the current Chinese force-based codes, a relative reliability theory was established and a specific method for Direct Displacement-Based Design(DDBD) is presented. In this method, for any seismic performance objective, the expected seismic risk level is always transformed into a frequent earthquake to calculate relative reliability, which is expressed in a ratio with the reliability of structures designed according to the current codes. This method preserves the reliability level of current codes and avoids complex calculations. After presenting the method, it is demonstrated that the base shear calculated by the DDBD method is theoretically equal to current code method for frequent earthquakes, so the section bearing capacity expression in current codes is adopted for the DDBD method, and a modified coefficient is introduced to account for errors in actual calculation. Finally, two examples are analyzed to identify the method's effectiveness and advantages compared to the current force-based method.
Based on the average reliability level of structures designed according to the current Chinese force-based codes, a relative reliability theory was established and a specific method for Direct Displacement-Based Design(DDBD) is presented. In this method, for any seismic performance objective, the expected seismic risk level is always transformed into a frequent earthquake to calculate relative reliability, which is expressed in a ratio with the reliability of structures designed according to the current codes. This method preserves the reliability level of current codes and avoids complex calculations. After presenting the method, it is demonstrated that the base shear calculated by the DDBD method is theoretically equal to current code method for frequent earthquakes, so the section bearing capacity expression in current codes is adopted for the DDBD method, and a modified coefficient is introduced to account for errors in actual calculation. Finally, two examples are analyzed to identify the method's effectiveness and advantages compared to the current force-based method.
引文
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[15]王广兵.直接基于位移的PPC框架性能水准量化及设计位移可靠度分析[J].工程力学,2014,31(2):125―130.Wang Guangbing.Quantifiaction of performance levels and reliability analysis of displacement in DDBD of PPC frames[J].Engineering Mechanics,2014,31(2):125―130.(in Chinese)
[2]Khan E,Sullivan TJ,Kowalsky MJ.Direct displacementbased seismic design of reinforced concrete arch bridges[J].Journal of Bridge Engineering,2014,19(1):44―58.
[3]蒋欢军,吕西林.钢筋混凝土框架结构层间位移角与构件变形关系研究[J].地震工程与工程震动,2009,29(2):66―72.Jiang Huanjun,LüXilin.Study on the relationship between story drift and element deformation for reinforced concrete frames[J].Journal of Earthquake Engineering and Engineering Vibration,2009,29(2):66―72.(in Chinese)
[4]简斌,翁健,金云飞.直接基于位移的预应力混凝土框架结构抗震设计方法[J].工程力学,2010,27(7):205―211.Jian Bin,Weng Jian,Jin Yunfei.Direct displacementbased seismic design for prestressed concrete frame structures[J].Engineering Mechanics,2010,27(7):205―211.(in Chinese)
[5]Bertero R D.Vertero V.Performance-based seismic engineering:the need for a reliable conceptual comprehensive approach[J].Earthquake Engineering&Structural Dynamics,2002,31(5):627―652.
[6]韦承基,魏琏,高小旺,李万智.结构抗震弹塑性变形可靠度分析[J].工程力学,1986,3(1):60―70.Wei Chengji,Wei Lian,Gao Xiaowang,Li Wanzhi.Seismic reliability analysis of structure based upon limit elasto-plastic story drift[J].Engineering Mechanics,1986,3(1):60―70.(in Chinese)
[7]高小旺,沈聚敏.“大震”作用下钢筋混凝土框架房屋变形能力的抗震可靠度分析[J].土木工程学报,1993,26(3):3―12.Gao Xiaowang,Shen Jumin.Aseismic reliability analysis of deformation capacity for reinforced concrete frame structure under“major earthquake”[J].China Civil Engineering Journal,1993,26(3):3―12.(in Chinese)
[8]吴波,李艺华.直接基于位移可靠度的抗震设计方法中目标位移代表值的确定[J].地震工程与工程振动,2002,22(6):44―51.Wu Bo,Li Yihua.Determination of representative value of target displacement in displacement reliability-based seismic design method[J].Journal of Earthquake Engineering and Engineering Vibration,2002,22(6):44―51.(in Chinese)
[9]吴波,李艺华.RC框架结构薄弱层的层间位移可靠度水平考察[J].地震工程与工程振动,2003,23(6):103―108.Wu Bo,Li Yihua.Reliability level of interstory drift for weak story of existing RC frame structure[J].Journal of Earthquake Engineering and Engineering Vibration,2003,23(6):103―108.(in Chinese)
[10]易伟建,张海燕.结构随机延性需求谱的理论研究[J].工程力学,2006,23(5):14―19.Yi Weijian,Zhang Haiyan.Theoretical research on probabilistic ductility demand spectrum of structures under seismic loads[J].Engineering Mechanics,2006,23(5):14―19.(in Chinese)
[11]张海燕,易伟建.基于位移的概率极限状态设计[J].地震工程与工程振动,2009,29(1):83―88.Zhang Haiyan,Yi Weijian.Displacement-based probabilistic limit state design[J].Journal of Earthquake Engineering and Engineering Vibration,2009,29(1):83―88.(in Chinese)
[12]GB50011-2010,建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.GB50011-2010,Code for seismic design of buildings[S].Beijing:China Architecture and Building Press,2010.(in Chinese)
[13]JGJ3-2010,高层建筑混凝土结构技术规程[S].北京:中国建筑工业出版社,2010.JGJ3-2010,Technical specification for concrete structures of tall building[S].Beijing:China Architecture and Building Press,2010.(in Chinese)
[14]谢县.基于相对可靠度思想的DDBD方法的初步理论研究[D].重庆:重庆大学,2013.Xie Xian.Study on the preliminary theory of direct displacement-based seismic design approach based on relative reliability concept[D].Chongqing:Chongqing University,2013.(in Chinese)
[15]王广兵.直接基于位移的PPC框架性能水准量化及设计位移可靠度分析[J].工程力学,2014,31(2):125―130.Wang Guangbing.Quantifiaction of performance levels and reliability analysis of displacement in DDBD of PPC frames[J].Engineering Mechanics,2014,31(2):125―130.(in Chinese)
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