无限地基-结构动力相互作用分析的分区递归时域算法研究
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摘要
基于阻尼抽取法,针对结构-无限地基动力相互作用时域分析提出了一种新的分区递归数值求解算法,包括逐步积分形式的地基作用力计算公式及动力相互作用分析中,基于子结构法的具体数值实现过程。该算法隐式地满足了无限介质辐射条件,可方便地确定地基作用力与交界面位置变位的关系,消除了无限地基动刚度时域算法中的频率相关性及褶积分,此外,时域子结构方式的求解可以方便地考虑结构部分的非线性力学特征。以实例的形式说明了该方法良好的精度与应用的简便性。
Based on the damping solvent extraction method (DSEM), a refined sub-regional time domain reciprocal procedure is proposed to deal with the analysis of dynamic soil-structure interaction. The radiation condition of the unbounded domain is automatically satisfied, and the frequency dependence and the convolution integral required in other algorithms in time domain are avoided. The numerical implementation of the method is given in detail. It mainly includes two parts: A precise step-by-step integration numerical algorithm for the evaluation of interaction forces of unbounded soil in time domain; The implementation of the refined sub-regional reciprocal method for the analysis of dynamic soil-structure interaction in time domain. Since the sub-regional numerical reciprocal procedure proposed in this paper is based on the sub-structure concept, it is convenient to take into account the nonlinear dynamic characteristics of general structures. Practical applications demonstrate that the proposed method is of good accuracy and feasibility.
Based on the damping solvent extraction method (DSEM), a refined sub-regional time domain reciprocal procedure is proposed to deal with the analysis of dynamic soil-structure interaction. The radiation condition of the unbounded domain is automatically satisfied, and the frequency dependence and the convolution integral required in other algorithms in time domain are avoided. The numerical implementation of the method is given in detail. It mainly includes two parts: A precise step-by-step integration numerical algorithm for the evaluation of interaction forces of unbounded soil in time domain; The implementation of the refined sub-regional reciprocal method for the analysis of dynamic soil-structure interaction in time domain. Since the sub-regional numerical reciprocal procedure proposed in this paper is based on the sub-structure concept, it is convenient to take into account the nonlinear dynamic characteristics of general structures. Practical applications demonstrate that the proposed method is of good accuracy and feasibility.
引文
[1]Wolf J P.Soil-Structure-Interaction Analysis in Time Domain[M].N.J.:Prentice-Hall Englewood Cliffs,1988.
[2]Wolf J P,Motosaka M.Recurive evaluation of interaction forces of unbounded soil in the time domain[J].Earthq.Engng Struct.Dyn.1989,18(3):345-363.
[3]Xiong Zhang,Wegner J L.Three-dimensional dynamic soil-structure interaction analysis in the time domain[J].Earthq.Engng Struct.Dyn.1999,28(12):1501-1524.
[4]Chongming Song,Wolf J P.Dynamic stiffness of unbounded medium based on damping solvent exrtraction[J].Earthquake Engng Struct.Dyn.1994,23(2):169-181.
[5]李建波,陈健云,林皋.求解非均匀无限地基相互作用力的有限元时域阻尼抽取法[J].岩土工程学报,2004,26(2):263-267.Li Jianbo,Chen Jianyun,Lin Gao.Finite element damping-extraction method for dynamic interaction time domain analysis of non-homogeneous unbounded rock[J].Chinese Journal of Geotechnical Engineering,2004,26(2):263-267.(in Chinese)
[6]钟万勰.结构动力方程的精细时程积分法[J].大连理工大学学报,1994,34(2):189-192.Zhong Wanxie.On precise time-integration method for structure dynamics[J].Journal of Dalian University of Technology,1994,34(2):189-192.(in Chinese)
[7]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.Lou Menglin,Lin Gao.The effect of wave reflection of artificial boundaries in visco-elastic media[J].Chinese Journal of Hydraulics,1986,(6):20-30.(in Chinese)
[8]Wolf J P,Chongmin Song.Finite-Element Modelling of Unbounded Media[M].N.Y.:John Wiley&Sons Inc,1997.
[9]Ushnish Basu,Anil K.Chopra.Numerical evaluation of the damping-solvent extraction method in the frequency domain[J].Earthquake Engng Struct.Dyn.2002,31(11):1231-1250.
[10]Bahaa E A,John F Hall.Non-linear earthquake response of concrete gravity dams Part1:modeling[J].Earthquake Engng Struct.Dyn.,1989,18:837-851.
[2]Wolf J P,Motosaka M.Recurive evaluation of interaction forces of unbounded soil in the time domain[J].Earthq.Engng Struct.Dyn.1989,18(3):345-363.
[3]Xiong Zhang,Wegner J L.Three-dimensional dynamic soil-structure interaction analysis in the time domain[J].Earthq.Engng Struct.Dyn.1999,28(12):1501-1524.
[4]Chongming Song,Wolf J P.Dynamic stiffness of unbounded medium based on damping solvent exrtraction[J].Earthquake Engng Struct.Dyn.1994,23(2):169-181.
[5]李建波,陈健云,林皋.求解非均匀无限地基相互作用力的有限元时域阻尼抽取法[J].岩土工程学报,2004,26(2):263-267.Li Jianbo,Chen Jianyun,Lin Gao.Finite element damping-extraction method for dynamic interaction time domain analysis of non-homogeneous unbounded rock[J].Chinese Journal of Geotechnical Engineering,2004,26(2):263-267.(in Chinese)
[6]钟万勰.结构动力方程的精细时程积分法[J].大连理工大学学报,1994,34(2):189-192.Zhong Wanxie.On precise time-integration method for structure dynamics[J].Journal of Dalian University of Technology,1994,34(2):189-192.(in Chinese)
[7]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.Lou Menglin,Lin Gao.The effect of wave reflection of artificial boundaries in visco-elastic media[J].Chinese Journal of Hydraulics,1986,(6):20-30.(in Chinese)
[8]Wolf J P,Chongmin Song.Finite-Element Modelling of Unbounded Media[M].N.Y.:John Wiley&Sons Inc,1997.
[9]Ushnish Basu,Anil K.Chopra.Numerical evaluation of the damping-solvent extraction method in the frequency domain[J].Earthquake Engng Struct.Dyn.2002,31(11):1231-1250.
[10]Bahaa E A,John F Hall.Non-linear earthquake response of concrete gravity dams Part1:modeling[J].Earthquake Engng Struct.Dyn.,1989,18:837-851.
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