摘要
大量震害实例表明,一次大的主震之后往往会引发大量的余震,而强余震将对结构产生额外的损伤累积破坏。本文中利用能考虑混凝土软化特性并可反映实际损伤耗散的混凝土塑性损伤本构模型,采用Lagrangian算法,考虑库水与大坝和地基之间的动态相互作用,并验证了耦合模型的可靠性;同时对单个主震、单个余震以及主余震序列作用下混凝土重力坝的损伤累积破坏效应进行分析,从大坝损伤、位移响应及损伤耗散能等方面探讨了强余震对主震受损大坝非线性动态响应行为的影响。结果表明,强余震对主震受损大坝的抗震性能具有重要的影响,为此需要提高大坝的抗震性能水平,在大坝抗震设计中应给予重视。
Damages of earthquakes in the past indicate that a large mainshock usually triggers numerous af-tershocks within a short period,and large aftershocks have a potential to cause additional damage to struc-tures. A Concrete Damaged Plasticity(CDP) model including the strain hardening or softening behavior ispresented for the concrete material. Moreover, the interaction between the impounded water and thedam-foundation system is taken into account by the Lagrangian formulation. The validity of the couplingmodel is verified. The effects of single mainshocks,single aftershocks and mainshock-aftershock seismic se-quences on the accumulate damage of concrete gravity dams are presented. The impacts of strong after-shocks on nonlinear dynamic response behavior of the mainshock-damaged dam are discussed in terms ofthe damage,displacement,and damage dissipation energy. The results show that mainshock-aftershocks seis-mic sequences have a significant impact on the accumulated damage of the concrete gravity dam. It is nec-essary to raise the level of anti-seismic property for large dams,to which more attention should be paid inaseismic design of the dam.
引文
[1]柳春光,贾玲玲.大跨度斜拉桥在接连两次地震作用下的响应分析[J].振动与冲击,2010(3):189-192.
[2]ZHAI C,ZHENG Z,LI S,et al.Seismic analyses of a RCC building under mainshock-aftershock seismic se-quences[J].Soil Dynamics and Earthquake Engineering,2015,74:46-55.
[3]HATZIVASSILIOU M,HATZIGEORGIOU G D.Seismic sequence effects on three-dimensional reinforced con-crete buildings[J].Soil Dynamics and Earthquake Engineering,2015,72:77-88.
[4]王建国,袁万城,高康,等.地震序列下拉索模数伸缩缝联间限位分析[J].土木建筑与环境工程,2016,38(3):35-40.
[5]YAGHMAEI-SABEGH S,RUIZ-GARCíA J.Nonlinear response analysis of SDOF systems subjected to doubletearthquake ground motions:A case study on 2012 Varzaghan-Ahar events[J].Engineering Structures,2016,110:281-292.
[6]熊瑜,张林,陈媛,等.主震和余震联合作用下复杂地基上重力坝的稳定性分析[J].岩土力学,2015(8):2332-2338.
[7]ZHANG S,WANG G,SA W.Damage evaluation of concrete gravity dams under mainshock-aftershock seismicsequences[J].Soil Dynamics and Earthquake Engineering,2013,50:16-27.
[8]ALLIARD P,LéGER P.Earthquake safety evaluation of gravity dams considering aftershocks and reduced drain-age efficiency[J].Journal of Engineering Mechanics,2008,134(1):12-22.
[9]张社荣,王高辉,孙博,等.基于扩展有限元法的重力坝强震潜在失效模式分析[J].水利学报,2012,43(12):1431-1439.
[10]孔宪京,屈永倩,邹德高,等.钢纤维混凝土面板堆石坝的抗震性能数值分析[J].水利学报,2016,47(7):841-849.
[11]WANG G,WANG Y,LU W,et al.XFEM based seismic potential failure mode analysis of concrete gravitydam-water-foundation systems through incremental dynamic analysis[J].Engineering Structures,2015,98:81-94.
[12]WILSON E L,KHALVATI M.Finite elements for the dynamic analysis of fluid-solid systems[J].InternationalJournal for Numerical Methods in Engineering,1983,19(11):1657-1668.
[13]CALAYIR Y,DUMANO LU A A.Static and dynamic analysis of fluid and fluid-structure systems by the Lagrang-ian method[J].Computers and Structures,1993,49(4):625-632.
[14]ABAQUS Inc.ABAQUS/standard:User's Manual[M].Version 6.10.Providence,RI,2010.
[15]ZHANG S,WANG G,PANG B,et al.The effects of strong motion duration on the dynamic response and accu-mulated damage of concrete gravity dams[J].Soil Dynamics and Earthquake Engineering,2013,45:112-124.
[16]LUBLINER J,OLIVER J,OLLER S,et al.A plastic-damage model for concrete[J].International Journal ofSolids and Structures,1989,25(3):299-326.
[17]LEE J,FENVES G L.Plastic-Damage Model for cyclic loading of concrete structures[J].Journal of EngineeringMechanics,1998,124(8):892-900.
[18]MRIDHA S,MAITY D.Experimental investigation on nonlinear dynamic response of concrete gravity dam-reser-voir system[J].Engineering Structures,2014,80:289-297.
[19]HATZIGEORGIOU G D,BESKOS D E.Inelastic displacement ratios for SDOF structures subjected to repeatedearthquakes[J].Engineering Structures,2009,31(11):2744-2755.