考虑高阶振型影响的输电塔抗震性能评估方法
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摘要
为了考虑高阶振型对输电塔抗震性能的影响,结合振型侧向力组合方法(MLFC)和能力谱法提出了该类结构的抗震性能评估方法。首先根据输电塔的振型贡献系数识别主要贡献振型,然后考虑各振型侧向力的加权正负组合构建基于MLFC的侧向力组合模式,并采用能力谱法分析确定输电塔的能力曲线和性能指标,最后根据输电塔的抗震性能目标和顶部位移性能水准进行抗震性能评估,从而建立了考虑高阶振型影响的输电塔抗震性能评估方法。结合工程实例分析表明,基于MLFC的侧向力组合模式在抗震能力曲线和位移性能指标分析方面与增量时程分析法吻合较好,能够有效地考虑高阶振型对输电塔抗震性能的影响。
In order to consider the influence of higher modes on seismic performance of transmission tower,an evaluation method was proposed based on the modal lateral force combination( MLFC)and the capacity spectrum method. The main participating modes were identified according to the higher modal contribution factors,while the lateral force combination patterns were constructed based on the MLFC by taking into account the weighted plus minus combination of each mode. Then the capacity curves and performance indexes for transmission tower were determined by the capacity spectrum method,while seismic performance was evaluated according to the seismic performancetargets and performance levels for top displacement. Finally,seismic performance evaluation method for transmission tower which took into account the influence of higher modes was proposed. Case study of engineering project indicates that the capacity curves and performance indexes evaluated by the proposed method agree well with those obtained from the incremental time history analysis method,which demonstrates that the proposed method provides an efficient way to investigate the influence of higher modes on the seismic performance of transmission tower.
In order to consider the influence of higher modes on seismic performance of transmission tower,an evaluation method was proposed based on the modal lateral force combination( MLFC)and the capacity spectrum method. The main participating modes were identified according to the higher modal contribution factors,while the lateral force combination patterns were constructed based on the MLFC by taking into account the weighted plus minus combination of each mode. Then the capacity curves and performance indexes for transmission tower were determined by the capacity spectrum method,while seismic performance was evaluated according to the seismic performancetargets and performance levels for top displacement. Finally,seismic performance evaluation method for transmission tower which took into account the influence of higher modes was proposed. Case study of engineering project indicates that the capacity curves and performance indexes evaluated by the proposed method agree well with those obtained from the incremental time history analysis method,which demonstrates that the proposed method provides an efficient way to investigate the influence of higher modes on the seismic performance of transmission tower.
引文
[1]张卓群,李宏男,李士锋,等.输电塔—线体系灾变分析与安全评估综述[J].土木工程学报,2016,49(12):75-88.
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[12] CHOPRA A K,GOEL R K. A modal pushover analysis procedure for estimating seismic demands for buildings[J]. Earthquake Engineering&Structural Dynamics,2002,31(3):561-582.
[13] GUPTA B,KUNNATH S K. Adaptive spectra-based pushover procedure for seismic evaluation of structures[J]. Earthquake Spectra,2000,16(2):367-92.
[14]白久林,欧进萍.考虑模态侧向力组合的结构抗震性能评估方法[J].工程力学,2016,33(4):58-66.
[15] FERRAIOLI M. Multi-mode pushover procedure for deformation demand estimates of steel moment-resisting frames[J]. International Journal of Steel Structures,2017,17(2):653-676.
[16] KUNNATH S K. Identification of modal combinations for nonlinear static analysis of building structures[J]. Computer-Aided Civil and Infrastructure Engineering,2004,19(4):246-59.
[17] EOM T S,LEE H L,PARK H G. Modal combination method for prediction of story earthquake load profiles[J]. Journal of the Earthquake Engineering Society of Korea,2006,10(3):65-75.
[18] SHAYANFAR M A,ASHOORY M,BAKHSHPOORI T,et al. Optimization of modal load pattern for pushover analysis of building structures[J]. Structural Engineering and Mechanics,2013,47(1):119-129.
[19]谢丽宇,唐珏,谢强,等.基于性能的输电塔地震易损性分析[J].特种结构,2014,31(1):104-108.
[20]张伟,周强,唐可人.基于位移的输电塔地震易损性分析[J].钢结构,2016,31(12):47-52.
[21] PARK H G,EOM T,LEE H. Factored modal combination for evaluation of earthquake load profiles[J]. Journal of Structural Engineering,2007,133(7):956-968.
[22] ABBASNIA R,DAVOUDI A T,MADDAH M M. An adaptive pushover procedure based on effective modal mass combination rule[J]. Engineering Structures,2013,52(9):654-666.
[23] ROFOOEI F R,MIRJALILI M R,ATTARI N K A. Modal spectra combination method for pushover analysis of special steel moment resisting frames[J]. International Journal of Civil Engineering,2012,10(4):245-252.
[24] SHAKERI K,SHAYANFAR M A,KABEYASAWA T. A story shear-based adaptive pushover procedure for estimating seismic demands of buildings[J]. Engineering Structures,2010,32(1):174-183.
[25]中华人民共和国住房和城乡建设部.电力设施抗震设计规范:GB 50260—2013[S].北京:中国计划出版社,2013.
[26] PAPANIKOLAOU V K,ELNASHAI A S,PAREJA J F. Evaluation of conventional and adaptive pushover analysis II:comparative results[J]. Journal of Earthquake Engineering,2006,10(1):127-151.
[27]中华人民共和国住房和城乡建设部.建筑抗震设计规范:GB 50011—2010[S].北京:中国建筑工业出版社,2010.
[2] YANG L F,LI Q,ZHANG W,et al. Homogeneous generalized yield criterion based elastic modulus reduction method for limit analysis of thin-walled structures with angle steel[J]. Thin-Walled Structures,2014,80(9):153-158.
[3] LIU Y,NAIR N,RENTON A,et al. Impact of the Kaikōura earthquake on the electrical power system infrastructure[J].Bulletin of the New Zealand Society for Earthquake Engineering,2017,50(2):300-305.
[4] DIDIER M,GRAUVOGL B,STEENTOFT A,et al. Seismic resilience of the Nepalese power supply system during the2015 Gorkha earthquake[C]//SARAGONI R. Proceedings of the 16th World Conference on Earthquake Engineering.Santiago,Chile:Institute of Theoretical and Applied Mechanics,2017:1-12.
[5]尤红兵,赵凤新.芦山7. 0级地震及电力设施破坏原因分析[J].电力建设,2013,34(8):100-104.
[6]张大长,赵文伯,刘明源. 5·12汶川地震中电力设施震害情况及其成因分析[J].南京工业大学学报(自然科学版),2009,31(1):44-48.
[7]宁超列,余波.考虑退化、捏拢和双向耦合效应的等强度延性需求谱[J].振动与冲击,2017,36(11):57-64.
[8]马智勇,张伟,周强,等.基于位移的重力坝地震易损性分析方法[J].振动与冲击,2017,36(22):51-58.
[9] FREEMAN S A. Review of the development of the capacity spectrum method[J]. ISET Journal of Earthquake Technology,2004,41(1):1-13.
[10]张伟,周强,马智勇,等.输电塔Pushover分析的侧向力分布模式选取研究[J].广西大学学报(自然科学版),2016,41(6):1764-1771.
[11]侯爽,欧进萍.结构Pushover分析的侧向力分布及高阶振型影响[J].地震工程与工程振动,2004,24(3):89-97.
[12] CHOPRA A K,GOEL R K. A modal pushover analysis procedure for estimating seismic demands for buildings[J]. Earthquake Engineering&Structural Dynamics,2002,31(3):561-582.
[13] GUPTA B,KUNNATH S K. Adaptive spectra-based pushover procedure for seismic evaluation of structures[J]. Earthquake Spectra,2000,16(2):367-92.
[14]白久林,欧进萍.考虑模态侧向力组合的结构抗震性能评估方法[J].工程力学,2016,33(4):58-66.
[15] FERRAIOLI M. Multi-mode pushover procedure for deformation demand estimates of steel moment-resisting frames[J]. International Journal of Steel Structures,2017,17(2):653-676.
[16] KUNNATH S K. Identification of modal combinations for nonlinear static analysis of building structures[J]. Computer-Aided Civil and Infrastructure Engineering,2004,19(4):246-59.
[17] EOM T S,LEE H L,PARK H G. Modal combination method for prediction of story earthquake load profiles[J]. Journal of the Earthquake Engineering Society of Korea,2006,10(3):65-75.
[18] SHAYANFAR M A,ASHOORY M,BAKHSHPOORI T,et al. Optimization of modal load pattern for pushover analysis of building structures[J]. Structural Engineering and Mechanics,2013,47(1):119-129.
[19]谢丽宇,唐珏,谢强,等.基于性能的输电塔地震易损性分析[J].特种结构,2014,31(1):104-108.
[20]张伟,周强,唐可人.基于位移的输电塔地震易损性分析[J].钢结构,2016,31(12):47-52.
[21] PARK H G,EOM T,LEE H. Factored modal combination for evaluation of earthquake load profiles[J]. Journal of Structural Engineering,2007,133(7):956-968.
[22] ABBASNIA R,DAVOUDI A T,MADDAH M M. An adaptive pushover procedure based on effective modal mass combination rule[J]. Engineering Structures,2013,52(9):654-666.
[23] ROFOOEI F R,MIRJALILI M R,ATTARI N K A. Modal spectra combination method for pushover analysis of special steel moment resisting frames[J]. International Journal of Civil Engineering,2012,10(4):245-252.
[24] SHAKERI K,SHAYANFAR M A,KABEYASAWA T. A story shear-based adaptive pushover procedure for estimating seismic demands of buildings[J]. Engineering Structures,2010,32(1):174-183.
[25]中华人民共和国住房和城乡建设部.电力设施抗震设计规范:GB 50260—2013[S].北京:中国计划出版社,2013.
[26] PAPANIKOLAOU V K,ELNASHAI A S,PAREJA J F. Evaluation of conventional and adaptive pushover analysis II:comparative results[J]. Journal of Earthquake Engineering,2006,10(1):127-151.
[27]中华人民共和国住房和城乡建设部.建筑抗震设计规范:GB 50011—2010[S].北京:中国建筑工业出版社,2010.
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