地基阻抗力时域递归参数的计算方法及程序实现
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摘要
基于笔者提出的考虑基础动力阻抗函数频率相关特性的地基阻抗力时域计算方法,对时域递归参数的拟合方法和所选系统稳定条件进行了研究,编制了阻抗力时域递归参数的计算程序。基于通用有限元软件和地基阻抗力时域差分形式,完成了考虑土–结构动力相互作用影响的结构时程分析程序二次开发。最后,通过数值算例验证了该方法的有效性,并初步讨论了土–结构相互作用系统动力响应分析中基础动力阻抗函数频率相关性的影响。
Based on the time-domain approach of computing foundation resistance with the frequency dependence of foundation impedance,the parameter fitting method and system stability were studied,and the computation procedure for time-domain recursive parameters of ground resistance was developed.By use of general FEM software and the time-domain difference of ground resistance,the structure history analysis programs with consideration of soil-structure dynamic interaction was developed.Finally,a numerical example was presented to verify the validity of the proposed method.The effect of impedance frequency dependence of foundation on the dynamic response of soil-structure system was preliminary discussed.
Based on the time-domain approach of computing foundation resistance with the frequency dependence of foundation impedance,the parameter fitting method and system stability were studied,and the computation procedure for time-domain recursive parameters of ground resistance was developed.By use of general FEM software and the time-domain difference of ground resistance,the structure history analysis programs with consideration of soil-structure dynamic interaction was developed.Finally,a numerical example was presented to verify the validity of the proposed method.The effect of impedance frequency dependence of foundation on the dynamic response of soil-structure system was preliminary discussed.
引文
[1]WOLF J P.Dynamic soil-structure interaction[M].New Jersey:Prentice-Hall,1985.
[2]赵建锋,杜修力.精度可控地基阻抗力的一种时域计算方法[C]//第七届全国土动力学学术会议.北京:清华大学出版社,2006:567–577.(ZHAO Jian-feng,DU Xiu-li.An accuracy controllable time-domain approach to calculate foundation resisting force[C]//The 7th National Conference on Soil Dynamics.Beijing:Tsinghua University Press,2006:567–577.(in Chinese))
[3]BERNAL D,YOUSSEF A.A hybrid time frequency domain formulation for non-linear soil structure interaction[J].Earthquake Engineering and Structural Dynamics,1998,27(7):673–685.
[4]DARBRE G R.Seismic analysis of non-linearly base-isolated soil-structure interacting reactor building by way of the hybrid-frequency-time-domain procedure[J].Earthquake Engineering and Structural Dynamics,1990,19:725–738.
[5]DARBRE G R.Application of the hybrid frequency–time-domain procedure to the soil–structure interaction analysis of a shear building with multiple nonlinearities[C]//Proceedings of the 10th World Conference Earthquake Engineering,Madrid,Spain.1992:442–454.
[6]LYSMER J,RICHART F E.Dynamic response of footings to vertical loading[J].J Soil Mech Found Div,ASCE,1966,92(1):65–91
[7]金峰,张楚汉,王光纶.拱坝–地基动力相互作用的时域模型[J].土木工程学报,1997,30(1):43–50.(JIN Feng,ZHANG Chu-han,WANG Guang-lun.A time domain model of arch dam-rock foundation interaction[J].China Civil Engineering Journal,1997,30(1):43–50.(in Chinese))
[8]WOLF J P,SOMAINI D R.Approximate dynamic model of embedded foundation in time domain[J].Earthquake Engineering and Structural Dynamics,1986,14(5):683–703
[9]BARROS DE,LUCO J E.Discrete models for vertical vibrations of surface and embedded foundation[J].Earthquake Engineering and Structural Dynamics,1990,19(2):289–303.
[10]JEAN W Y,LING T W,PENZIEN J.System parameter of soil foundation for time domain dynamic analysis[J].Earthquake Engineering and Structural Dynamics,1990,19:541–553.
[11]WU W H,LEE W H.Systematic lumped-parameter models for foundations based on polynomial-fraction approximation[J].Earthquake Engineering and Structural Dynamics,2002,31(7):1383–1412.
[12]WOLF J P.Spring-dashpot-mass models for foundation vibrations[J].Earthquake Engineering and Structural Dynamics,1997,26:931–949.
[13]栾茂田,林皋.地基动力阻抗的双自由度集总参数模型[J].大连理工大学学报,1996,36(4):477–482.(LUAN Mao-tian,LIN Gao.2-DOF lumped-parameter model of dynamic impedances of foundation soils[J].J of Dalian University of Technology,1996,36(4):477–482.(in Chinese))
[14]侯兴民,廖振鹏.表面矩形基础阻抗函数的集中参数模型[J].地震工程与工程振动,1999,19(4):6–13.(HOU Xing-min,LIAO Zhen-peng.Lumped parameter models for impedance matrix of rigid rectangular foundations of the half-space[J].Earthquake Engineering and Engineering Vibration,1999,19(4):6–13.(in Chinese))
[15]WOLF J P,OBERNHUBER P.Nonlinear soil-structure interaction analysis using dynamic stiffness or flexibility of soil in the time domain[J].Earthquake Engineering and Structural Dynamics 1985,13:195–212.
[16]NAKAMURA N.A practical method to transform frequency dependent impedance to time domain[J].Earthquake Engineering and Structural Dynamics,2006,35(2):217–231.
[17]NAKAMURA N.Improved methods to transform frequency-dependent complex stiffness to time domain[J].Earthquake Engineering and Structural Dynamics,2006,35(8):1037–1050.
[18]SAFAK E.Time-domain representation of frequency-dependent foundation impedance functions[J].Soil Dynamics and Earthquake Engineering.2006,26(1):65–70.
[19]OPPENHEIM A V,SCHAFER R W,BUCH J R.Discrete-time signal processing[M].2nd ed.New Jersey:Prentice-Hall Inc,1999.
[20]韩炜,廖振鹏.一种全局优化算法:遗传算法–单纯形法[J].地震工程与工程振动,2001,21(2):6–12.(HAN Wei,LIAO Zhen-peng.A global optimization algorithm:genetic algorithm-simplex[J].Earthquake Engineering and Engineering Vibration,2001,21(2):6–12.(in Chinese))
[21]NOVAK M,SHARNOUBY B E L.Stiffness constants of single piles[J].Journal of Geotechnical Engineering,ASCE,1983,109(7):961–974.
[22]MAKRIS N,GAZETAS G.Dynamic pile-soil-pile interaction Part II:Lateral and seismic response[J].Earthquake Engineering and Structural Dynamics,1992,21(2):145–162.
[23]MAKRIS N,GAZETAS G.Displacement phase differences in a harmonically oscillating pile[J].Geotechnique,1993,43(1):135–150.
[2]赵建锋,杜修力.精度可控地基阻抗力的一种时域计算方法[C]//第七届全国土动力学学术会议.北京:清华大学出版社,2006:567–577.(ZHAO Jian-feng,DU Xiu-li.An accuracy controllable time-domain approach to calculate foundation resisting force[C]//The 7th National Conference on Soil Dynamics.Beijing:Tsinghua University Press,2006:567–577.(in Chinese))
[3]BERNAL D,YOUSSEF A.A hybrid time frequency domain formulation for non-linear soil structure interaction[J].Earthquake Engineering and Structural Dynamics,1998,27(7):673–685.
[4]DARBRE G R.Seismic analysis of non-linearly base-isolated soil-structure interacting reactor building by way of the hybrid-frequency-time-domain procedure[J].Earthquake Engineering and Structural Dynamics,1990,19:725–738.
[5]DARBRE G R.Application of the hybrid frequency–time-domain procedure to the soil–structure interaction analysis of a shear building with multiple nonlinearities[C]//Proceedings of the 10th World Conference Earthquake Engineering,Madrid,Spain.1992:442–454.
[6]LYSMER J,RICHART F E.Dynamic response of footings to vertical loading[J].J Soil Mech Found Div,ASCE,1966,92(1):65–91
[7]金峰,张楚汉,王光纶.拱坝–地基动力相互作用的时域模型[J].土木工程学报,1997,30(1):43–50.(JIN Feng,ZHANG Chu-han,WANG Guang-lun.A time domain model of arch dam-rock foundation interaction[J].China Civil Engineering Journal,1997,30(1):43–50.(in Chinese))
[8]WOLF J P,SOMAINI D R.Approximate dynamic model of embedded foundation in time domain[J].Earthquake Engineering and Structural Dynamics,1986,14(5):683–703
[9]BARROS DE,LUCO J E.Discrete models for vertical vibrations of surface and embedded foundation[J].Earthquake Engineering and Structural Dynamics,1990,19(2):289–303.
[10]JEAN W Y,LING T W,PENZIEN J.System parameter of soil foundation for time domain dynamic analysis[J].Earthquake Engineering and Structural Dynamics,1990,19:541–553.
[11]WU W H,LEE W H.Systematic lumped-parameter models for foundations based on polynomial-fraction approximation[J].Earthquake Engineering and Structural Dynamics,2002,31(7):1383–1412.
[12]WOLF J P.Spring-dashpot-mass models for foundation vibrations[J].Earthquake Engineering and Structural Dynamics,1997,26:931–949.
[13]栾茂田,林皋.地基动力阻抗的双自由度集总参数模型[J].大连理工大学学报,1996,36(4):477–482.(LUAN Mao-tian,LIN Gao.2-DOF lumped-parameter model of dynamic impedances of foundation soils[J].J of Dalian University of Technology,1996,36(4):477–482.(in Chinese))
[14]侯兴民,廖振鹏.表面矩形基础阻抗函数的集中参数模型[J].地震工程与工程振动,1999,19(4):6–13.(HOU Xing-min,LIAO Zhen-peng.Lumped parameter models for impedance matrix of rigid rectangular foundations of the half-space[J].Earthquake Engineering and Engineering Vibration,1999,19(4):6–13.(in Chinese))
[15]WOLF J P,OBERNHUBER P.Nonlinear soil-structure interaction analysis using dynamic stiffness or flexibility of soil in the time domain[J].Earthquake Engineering and Structural Dynamics 1985,13:195–212.
[16]NAKAMURA N.A practical method to transform frequency dependent impedance to time domain[J].Earthquake Engineering and Structural Dynamics,2006,35(2):217–231.
[17]NAKAMURA N.Improved methods to transform frequency-dependent complex stiffness to time domain[J].Earthquake Engineering and Structural Dynamics,2006,35(8):1037–1050.
[18]SAFAK E.Time-domain representation of frequency-dependent foundation impedance functions[J].Soil Dynamics and Earthquake Engineering.2006,26(1):65–70.
[19]OPPENHEIM A V,SCHAFER R W,BUCH J R.Discrete-time signal processing[M].2nd ed.New Jersey:Prentice-Hall Inc,1999.
[20]韩炜,廖振鹏.一种全局优化算法:遗传算法–单纯形法[J].地震工程与工程振动,2001,21(2):6–12.(HAN Wei,LIAO Zhen-peng.A global optimization algorithm:genetic algorithm-simplex[J].Earthquake Engineering and Engineering Vibration,2001,21(2):6–12.(in Chinese))
[21]NOVAK M,SHARNOUBY B E L.Stiffness constants of single piles[J].Journal of Geotechnical Engineering,ASCE,1983,109(7):961–974.
[22]MAKRIS N,GAZETAS G.Dynamic pile-soil-pile interaction Part II:Lateral and seismic response[J].Earthquake Engineering and Structural Dynamics,1992,21(2):145–162.
[23]MAKRIS N,GAZETAS G.Displacement phase differences in a harmonically oscillating pile[J].Geotechnique,1993,43(1):135–150.
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