基于凸集模型的界限pushover分析
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摘要
结构的抗震性能评估中包含许多不确定性因素。当掌握的不确定性信息较少时,概率模型结果是值得怀疑的。本文首先采用双界限凸集模型考虑地面运动加速度峰值和反应谱特征周期的不确定性,并结合我国现行抗震设计规范中的反应谱,求得结构层间剪力的变异区间,在此基础上给出了一种新的界限侧向加载方式;并进一步将凸集理论融于pushover分析过程中,分析了由pushover得到的结构能力的界限变化区间。结果表明本文給出的界限pushover方法能给出性态指标的变化区间,是一种更客观可靠的抗震性能评估方法。
Many uncertain factors are involved in seismic performance evaluation and the probabilistic results drawn from inadequate information are suspectable.Considering the uncertainties of peak acceleration and frequency characteristics by using a bounded convex set model,the bounds of shear forces are derived from the Chinese seismic code,and then a new lateral bound load method for pushover analysis is proposed.Then the convex analysis method is integrated into pushover analysis to study the bounds of structural capacity.As a result,the convex model-based pushover analysis makes an estimation of the performance of structure with an interval,and it is more objective and robust with respect to probabilistic perspective.
Many uncertain factors are involved in seismic performance evaluation and the probabilistic results drawn from inadequate information are suspectable.Considering the uncertainties of peak acceleration and frequency characteristics by using a bounded convex set model,the bounds of shear forces are derived from the Chinese seismic code,and then a new lateral bound load method for pushover analysis is proposed.Then the convex analysis method is integrated into pushover analysis to study the bounds of structural capacity.As a result,the convex model-based pushover analysis makes an estimation of the performance of structure with an interval,and it is more objective and robust with respect to probabilistic perspective.
引文
[1]Joseph M.B racci,Sash i K.Kunnath,AndreiM.Reinhorn.Seism ic performance and retrofit evaluation of reinforced concrete structure[J].Jour-nal of Structural Engineering,1997,(1):3~10.
[2]Kasper Peter.Application of the capacity spectrum m ethod to R.C.bu ild ings w ith bearing walls.12thW orld Conference On Earthquake Engineer-ing[C].2000:12~25.
[3]Moghdam A S.Pushover analysis for asymm etric and set-back mu lti-story bu ild ings.12thW orld Conference on Earthquake Engineering[C].2000:11~18.
[4]Yang Pu.A study on improvem ent of pushover analysis.12thW orld Conference on Earthquake Engineering[C].2000:1~3.
[5]朱俊锋,王东炜,霍达.大震下RC框架结构基于pushover方法的失效相关性分析[J].地震工程与工程振动,2005,25(4):85~90.
[6]种迅,孟少平.钢筋混凝土框架结构全过程pushover分析[J].地震工程与工程振动,2005,25(1):38~42.
[7]卢文生,吕西林.模态静力非线性分析中模态选择的研究[J].地震工程与工程振动,2004,24(6):32~38.
[8]侯爽,欧进萍.结构pushover分析的侧向力分布及高阶振型的影响[J].地震工程与工程振动,2004,24(3):89~97.
[9]欧进萍,侯钢领,吴斌.概率pushover分析方法及其在结构体系抗震可靠度评估中的应用[J].建筑结构学报.2001,22(6):81~86.
[10]E llishakoff I.Essay on uncertainties inelastic and viscoelastic structures:from A M Freudenthal’s criticism s to modern convex modeling[J].Computers&Structures.1995,56(6):87~89.
[11]Ben-Haim Y and E lishakoff I.Convex models of uncertainty in applied m echan ics[M].Am erica:E lesevier,1990:11~20.
[12]GB 50011-2001,建筑抗震设计规范[S].
[13]胡聿贤,周锡元.地震工程的跨世纪发展—回顾、展望与建议.第五届全国地震工程学术会议论文[C].北京,1998:1~9.
[14]张之颖,张景绘.反应谱参量双界限凸集模型及其地震作用效应[J].西安交通大学学报,1999,33(2):46~54.
[15]陈达生,卢荣俭,谢礼立.抗震建筑的设计反应谱.地震工程研究报告集第三集[C].1997:73~94.
[16]吴健,高孟潭.场地相关设计反应谱特征周期的统计分析[J].中国地震,2004,20(3):263~268.
[2]Kasper Peter.Application of the capacity spectrum m ethod to R.C.bu ild ings w ith bearing walls.12thW orld Conference On Earthquake Engineer-ing[C].2000:12~25.
[3]Moghdam A S.Pushover analysis for asymm etric and set-back mu lti-story bu ild ings.12thW orld Conference on Earthquake Engineering[C].2000:11~18.
[4]Yang Pu.A study on improvem ent of pushover analysis.12thW orld Conference on Earthquake Engineering[C].2000:1~3.
[5]朱俊锋,王东炜,霍达.大震下RC框架结构基于pushover方法的失效相关性分析[J].地震工程与工程振动,2005,25(4):85~90.
[6]种迅,孟少平.钢筋混凝土框架结构全过程pushover分析[J].地震工程与工程振动,2005,25(1):38~42.
[7]卢文生,吕西林.模态静力非线性分析中模态选择的研究[J].地震工程与工程振动,2004,24(6):32~38.
[8]侯爽,欧进萍.结构pushover分析的侧向力分布及高阶振型的影响[J].地震工程与工程振动,2004,24(3):89~97.
[9]欧进萍,侯钢领,吴斌.概率pushover分析方法及其在结构体系抗震可靠度评估中的应用[J].建筑结构学报.2001,22(6):81~86.
[10]E llishakoff I.Essay on uncertainties inelastic and viscoelastic structures:from A M Freudenthal’s criticism s to modern convex modeling[J].Computers&Structures.1995,56(6):87~89.
[11]Ben-Haim Y and E lishakoff I.Convex models of uncertainty in applied m echan ics[M].Am erica:E lesevier,1990:11~20.
[12]GB 50011-2001,建筑抗震设计规范[S].
[13]胡聿贤,周锡元.地震工程的跨世纪发展—回顾、展望与建议.第五届全国地震工程学术会议论文[C].北京,1998:1~9.
[14]张之颖,张景绘.反应谱参量双界限凸集模型及其地震作用效应[J].西安交通大学学报,1999,33(2):46~54.
[15]陈达生,卢荣俭,谢礼立.抗震建筑的设计反应谱.地震工程研究报告集第三集[C].1997:73~94.
[16]吴健,高孟潭.场地相关设计反应谱特征周期的统计分析[J].中国地震,2004,20(3):263~268.
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