多源散射黏弹性叠加人工边界探究及在桥梁工程中的应用
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摘要
近年来黏弹性人工边界被提出,它在土-结构动力相互作用中得到广泛应用并取得较好的效果。但这些应用通常是在单个结构物的情况下进行的,即所谓单源散射问题。工程中会遇到多源散射问题,例如多跨桥梁、铁路路基等,其桥梁基础或轨枕是多个并且其分布的距离可能很远。这种情况下仍然采用单源散射问题的黏弹性人工边界,会产生一定的误差。针对这种情况,在原有黏弹性人工边界的基础上,提出多源黏弹性叠加人工边界,其适用于有多点内源输入荷载和多点地震动输入的情况。计算对比表明,在处理多源问题时,该方法能够在一定程度上提高黏弹性人工边界的精度。最后基于多源黏弹性人工边界理论对一5跨简支梁桥进行计算,计算表明,局部地形效应、土-结构动力相互作用及地震波入射角度等对桥梁在地震作用下的动力响应有一定的影响。
Contributing to accurate calculations of dynamic soil-structure interaction (SSI), viscous-spring artificial boundary has gained great popularity in recent years. Generally, the applications are for single structures, i.e., single-source scattering problems. For multiple-span structures such as bridges and railway roadbeds, the distance between bridge foundations and sleepers can be large, which poses multi-point scattering problems, and the errors caused by using single-source scattering viscous-spring artificial boundary cannot be neglected. To overcome such difficulties, multi-source scattering viscous-spring artificial boundary is proposed based on the theory of single-source scattering viscous-spring artificial boundary. Seismic analysis of a five-span bridge is carried out based on the viscous-spring superposition artificial boundary theory, the results show that, the topography, SSI and the incidence angle of SV wave all influence the seismic response of the simple-supported beam bridge.
Contributing to accurate calculations of dynamic soil-structure interaction (SSI), viscous-spring artificial boundary has gained great popularity in recent years. Generally, the applications are for single structures, i.e., single-source scattering problems. For multiple-span structures such as bridges and railway roadbeds, the distance between bridge foundations and sleepers can be large, which poses multi-point scattering problems, and the errors caused by using single-source scattering viscous-spring artificial boundary cannot be neglected. To overcome such difficulties, multi-source scattering viscous-spring artificial boundary is proposed based on the theory of single-source scattering viscous-spring artificial boundary. Seismic analysis of a five-span bridge is carried out based on the viscous-spring superposition artificial boundary theory, the results show that, the topography, SSI and the incidence angle of SV wave all influence the seismic response of the simple-supported beam bridge.
引文
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[2]Deeks A J,Ranodlph M F.Axiymmetric time-domain transmitting boundaries[J].Journal of Engineering Mechanics,ASCE,1994,120(1):25-42
[3]刘晶波,吕彦东.结构-地基动力相互作用问题分析的一种直接方法[J].土木工程学报,1998,31(3):55-64(Liu Jingbo,Lu Yandong.A direct method for analysis of dynamic soil-structure interaction[J].China Civil Engineering Journal,1998,31(3):55-64(in Chinese))
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[5]刘晶波,李彬.三维黏弹性静-动力统一人工边界[J].中国科学E辑,2005,35(9):966-980
[6]刘晶波,谷音,杜义欣.一致粘弹性人工边界及粘弹性边界单元[J].岩土工程学报,2006,28(9):1070-1075(Liu Jingbo,Gu Yin,Du Yixin.Consistent viscous-spring artificial boundaries and viscous-spring boundary elements[J].Chinese Journal of Geotechnical Engineering,2006,28(9):1070-1075(in Chinese))
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[8]Liao Z P,Wong H L,Yang B P,et al.A transmitting boundary for transient wave analyses[J].Scientia Sinica(Series A),1984,27(10):1063-1076
[9]赵密.粘弹性人工边界及其与透射人工边界的比较研究[D].北京:北京工业大学,2004(Zhao Mi.Study on the Viscous-Spring Boundary and the Transmitting Boundary[D].Beijing:Beijing University of Technology,2004(in Chinese))
[10]王蕾,赵成刚,王智峰.考虑地形影响和多点激励的大跨高墩桥地震响应分析[J].土木工程学报,2006,39(1):50-55(Wang Lei,Zhao Chenggang,Wang Zhifeng.Seismic response analysis of continuous rigid-framed bridge with high piers considering topographic effects and multi-support excitations[J].China Civil Engineering Journal,2006,39(1):50-55(in Chinese))
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