高性能比例边界有限元场地动力模型研究
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摘要
针对厂房-基础-地基动力相互作用的时域数值分析,建立有效合理的地基无限域计算模型。采用基于加速度脉冲响应函数的高性能比例边界有限元,结合真实的地基开挖参数,针对地基无限域相互作用力的求解进行了分析,并对比粘弹性人工边界模型与核电规范模型,研究了高性能比例边界有限元模型的工程适用性。结果显示该模型在保证精度的前提下,有效降低了卷积运算量,数值稳定性好,对基坑开挖的参数敏感性高,具有良好的工程实用前景。
An effective and reasonable computational model of infinite domain foundation is established for numerical analysis of the plant-base-foundation dynamic interaction in time domain.The high performance scaled boundary finite element method based on acceleration impulse response function is adopted to analyze infinite foundation interaction by combining with the real parameters of foundation excavation.And then the engineering usability of the model is studied by comparing with the viscoelastic boundary model and the ASCE model.The results show that on the premise of ensuring high accuracy,the model reduces the convolution calculation and provides a good numerical stability with high sensitivity to the parameters of excavation pit,which has good engineering practical prospect.
An effective and reasonable computational model of infinite domain foundation is established for numerical analysis of the plant-base-foundation dynamic interaction in time domain.The high performance scaled boundary finite element method based on acceleration impulse response function is adopted to analyze infinite foundation interaction by combining with the real parameters of foundation excavation.And then the engineering usability of the model is studied by comparing with the viscoelastic boundary model and the ASCE model.The results show that on the premise of ensuring high accuracy,the model reduces the convolution calculation and provides a good numerical stability with high sensitivity to the parameters of excavation pit,which has good engineering practical prospect.
引文
[1]中国地震局工程力学研究所,核工业第二研究设计院,上海核工程研究设计院,等.核电厂抗震设计规范(GB50267-1997)[S].北京:中国计划出版,1998.
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[2]American Society of Civil Engineers.Seismic Analy-sis of Safety-Related Nuclear Structures and Com-mentary Active(ASCE4-98)[S].USA:ASCE,1998.
[3]逄俊杰,李建波,钟红.成层地基对核电厂楼层反应谱的影响分析[J].水电能源科学,2010,28(10):67-69.
[4]阎俊义,金峰,张楚汉.基于线性系统理论的FE-SBFEE时域耦合方法[J].清华大学学报(自然科学版),2003,43(11):1554-1557,1566.
[5]Radmanouic B,Katz C.A High Performance Scaled Boundary Finite Element Method[M].Sydney Aus-tralia:IOP Conference Series,2010.
[6]楼梦麟,林皋.粘弹性地基中人工边界的波动反射效应[J].水利学报,1986(6):20-30.
[7]廖振鹏.工程波动理论导引[M].北京:科学出版社,1996.
[8]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.
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