考虑土-结构相互作用效应的结构地震响应时域子结构分析法
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摘要
为了在地基阻抗力的计算中能考虑基础动力阻抗函数频率相关性和避免反复进行傅里叶变换,采用地基阻抗力的时域差分计算方法,进行了基于通用有限元软件的结构时程分析程序二次开发,增加了考虑土-结构相互作用效应的结构动力响应时程分析计算模块．对圆盘基础上的多层结构在三维地震激励下的响应进行了数值计算和分析．数值模型结果表明,该方法物理意义明确,能反映土-结构相互作用耦合体系的基础动力阻抗对激振频率的依赖性．
To take into account the frequency dependency of foundation impedance and avoid repeated Fourier transform, a time-domain difference approach for calculating the ground resisting forces was introduced by the authors. The software programs of structure history analysis were re-developed based on general FEM software, and the dynamic history analysis module of considering the soil-structure interaction effect was included. Finally, multilayer frame with circular foundation on the surface of layered soil media is numerically analyzed under three dimensions earthquake excitation. Numerical results demonstrate that the proposed approach can reflect the property of foundation impedance which varies with frequency in soil-structure system.
To take into account the frequency dependency of foundation impedance and avoid repeated Fourier transform, a time-domain difference approach for calculating the ground resisting forces was introduced by the authors. The software programs of structure history analysis were re-developed based on general FEM software, and the dynamic history analysis module of considering the soil-structure interaction effect was included. Finally, multilayer frame with circular foundation on the surface of layered soil media is numerically analyzed under three dimensions earthquake excitation. Numerical results demonstrate that the proposed approach can reflect the property of foundation impedance which varies with frequency in soil-structure system.
引文
[1]杜修力,赵建锋,韩强．精度可控地基阻抗力的一种时域差分计算方法[J]．力学学报(待发表)．DU Xiu-li, ZHAO Jian-feng, HAN Qiang. An accuracy controllable time-domain difference approach to calculate foundation resisting force[J]. Chinese Journal of Theoretical and Applied Mechanics (Accepted). (in Chinese)
[2] WOLF J P. Dynamic soil-structure interaction[M]. Englewood Cliffs, NJ: Prentice-Hall, 1985.
[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(1): 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]//Proc 10WCEE, Madrid, Span. Rotterdam: Balkema, 1992: 442-454.
[6] 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.
[7] 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.
[8] WOLF J P. Spring-dashpot-mass models for foundation vibrations[J]. Earthquake Engineering and Structural Dynamics, 1997, 26: 931-949.
[9]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)
[10]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)
[11]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)
[12] 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.
[13] NAKAMURA N. A practical method to transform frequency dependent impedance to time domain[J]. Earthquake Engineering and Structural Dynamics, 2006, 35(2): 217-231.
[14] NAKAMURA N. Improved methods to transform frequency-dependent complex stiffness to time domain[J]. Earthquake Engineering and Structural Dynamics, 2006, 35(8): 1037-1050.
[15] WOLF J P, MOTOSAKA M. Recursive evaluation of interaction forces of unbounded soil in the time domain[J]. Earthquake Engineering and Structural Dynamics, 1989, 18(3): 345-363.
[16] WOLF J P, MOTOSAKA M. Recursive evaluation of interaction forces of unbounded soil in the time domain from dynamic-stiff ness coefficients in the frequency domain [J]. Earthquake Engineering and Structural Dynamics, 1989, 18(3): 365-376.
[17] SAFAK E. Time-domain representation of frequency-dependent foundation impedance functions [J]. Soil Dynamics and Earthquake Engineering, 2006, 26(1): 65-70.
[18] OPPENHEIM A V, SCHAFER R W, BUCH J R. Discrete-time signal processing[M]. Englewood Cliffs, NJ: Prentice-Hall, 1999.
[19]赵建锋,杜修力．地基阻抗力时域计算中的若干问题及在土-结动力相互作用分析中的实现[J]．岩土工程学报(待发表)．ZHAO Jian-feng, DU Xiu-li. Problems of computing ground resisting force in time-domain and realization in soil-structure dynamic interaction[J]. Chinese Journal of Geotechnical Engineering (Accepted). (in Chinese)
[20] LUCO J E. Impedance functions for a rigid foundations on a layered medium[J].Nuclear Engineering and Design, 1974, 31: 204-217.
[2] WOLF J P. Dynamic soil-structure interaction[M]. Englewood Cliffs, NJ: Prentice-Hall, 1985.
[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(1): 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]//Proc 10WCEE, Madrid, Span. Rotterdam: Balkema, 1992: 442-454.
[6] 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.
[7] 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.
[8] WOLF J P. Spring-dashpot-mass models for foundation vibrations[J]. Earthquake Engineering and Structural Dynamics, 1997, 26: 931-949.
[9]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)
[10]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)
[11]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)
[12] 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.
[13] NAKAMURA N. A practical method to transform frequency dependent impedance to time domain[J]. Earthquake Engineering and Structural Dynamics, 2006, 35(2): 217-231.
[14] NAKAMURA N. Improved methods to transform frequency-dependent complex stiffness to time domain[J]. Earthquake Engineering and Structural Dynamics, 2006, 35(8): 1037-1050.
[15] WOLF J P, MOTOSAKA M. Recursive evaluation of interaction forces of unbounded soil in the time domain[J]. Earthquake Engineering and Structural Dynamics, 1989, 18(3): 345-363.
[16] WOLF J P, MOTOSAKA M. Recursive evaluation of interaction forces of unbounded soil in the time domain from dynamic-stiff ness coefficients in the frequency domain [J]. Earthquake Engineering and Structural Dynamics, 1989, 18(3): 365-376.
[17] SAFAK E. Time-domain representation of frequency-dependent foundation impedance functions [J]. Soil Dynamics and Earthquake Engineering, 2006, 26(1): 65-70.
[18] OPPENHEIM A V, SCHAFER R W, BUCH J R. Discrete-time signal processing[M]. Englewood Cliffs, NJ: Prentice-Hall, 1999.
[19]赵建锋,杜修力．地基阻抗力时域计算中的若干问题及在土-结动力相互作用分析中的实现[J]．岩土工程学报(待发表)．ZHAO Jian-feng, DU Xiu-li. Problems of computing ground resisting force in time-domain and realization in soil-structure dynamic interaction[J]. Chinese Journal of Geotechnical Engineering (Accepted). (in Chinese)
[20] LUCO J E. Impedance functions for a rigid foundations on a layered medium[J].Nuclear Engineering and Design, 1974, 31: 204-217.
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