结构-地基开放系统动力相互作用问题的高效解法
|
摘要
应用黏弹性人工边界将结构-地基开放系统转化为近似的封闭系统,利用等效地震波动输入方法将波动散射问题化为波源问题,再采用振型叠加法对近似封闭系统进行分析,由此建立了一种结构-地基开放系统动力反应问题的高效计算方法。采用高效算法分别计算了二维弹性半空间波源问题和地震作用下结构-地基动力相互作用问题算例,并与采用常规的直接时域逐步积分法给出的计算结果进行了对比,由此讨论了高效算法的特点。与常规直接动力分析方法相比,高效算法可以在确保模拟精度的同时,有效降低计算工作量、节省计算时间,并且结构-地基动力相互作用系统的模型越大、自由度越多,高效算法的优越性就越突出,从而为大型结构-地基系统动力相互作用问题数值分析提供了一种高效而精度足够的解法。
The structure-foundation system is transformed from an original open system into an approximately closed system through a viscous-spring artificial boundary.In addition,the seismic wave scattering problem is changed to a wave source problem by employing an equivalent seismic wave input.Subsequently,the modal superposition method is adopted to solve the approximated closed system.This procedure is highly efficient in analyzing dynamic structure-foundation interaction problems in the time domain.Two numerical examples are presented to illustrate the characteristics of the proposed method: one is a wave source problem in 2-D elastic semi-infinite space,and the other a dynamic structure-foundation interaction problem under seismic excitations.Comparing with the traditional direct step-by-step integration method,the proposed method,with a sufficient number of mode shapes included,can significantly reduce the computational time with almost the same precision.The results also indicate that the proposed method is more advantageous for solving large structure-foundation systems of many degrees of freedom.
The structure-foundation system is transformed from an original open system into an approximately closed system through a viscous-spring artificial boundary.In addition,the seismic wave scattering problem is changed to a wave source problem by employing an equivalent seismic wave input.Subsequently,the modal superposition method is adopted to solve the approximated closed system.This procedure is highly efficient in analyzing dynamic structure-foundation interaction problems in the time domain.Two numerical examples are presented to illustrate the characteristics of the proposed method: one is a wave source problem in 2-D elastic semi-infinite space,and the other a dynamic structure-foundation interaction problem under seismic excitations.Comparing with the traditional direct step-by-step integration method,the proposed method,with a sufficient number of mode shapes included,can significantly reduce the computational time with almost the same precision.The results also indicate that the proposed method is more advantageous for solving large structure-foundation systems of many degrees of freedom.
引文
[1]张楚汉.结构-地基相互作用问题.结构与介质相互作用理论及应用[M].南京:河海大学出版社,1993
[2]沈聚敏,周锡元,高小旺,等.抗震工程学[M].北京:中国建筑工业出版社,2000
[3]Wolf J P,Song C M.Some cornerstones of dynamic soil-structure interaction[J].Engineering Structures,2002,24:13-28
[4]肖晓春,林皋,迟世春.桩-土-结构动力相互作用的分析模型与方法[J].世界地震工程,2002,18(4):123-130
[5]Jacobo B,Kostas L,Yoshaiki H,et al.Domain reductionmethod for three dimensional earthquake modeling inlocalized regions.Part I:Theory[J].Bulletin of theSeismological Society of America,2003,93(2):817-824
[6]廖振鹏.工程波动理论导论[M].北京:科学出版社,2002
[7]Deeks A J,Randolph M F.Axisymmetric time-domaintransmitting boundaries[J].Journal of Engineering Mechanics,ASCE,1994,120(1):25-42
[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
[9]谷音.结构地基动力相互作用问题高效数值方法研究及工程应用[D].北京:清华大学,2005
[10]刘晶波,王振宇,张克峰,等.考虑土-结构相互作用大型动力机器基础三维有限元分析[J].工程力学,2002,19(3):34-38
[11]王振宇,刘晶波,裴欲晓,等.大型动力机器基础防微振计算理论与实测研究[J].岩土工程学报,2002,24(3):363-366
[12]Gupta I D,Joshi R G.An improved spectrum superpositionmethod for structures with rigid modes[J].NuclearEngineering and Design,1998,185:293-307
[2]沈聚敏,周锡元,高小旺,等.抗震工程学[M].北京:中国建筑工业出版社,2000
[3]Wolf J P,Song C M.Some cornerstones of dynamic soil-structure interaction[J].Engineering Structures,2002,24:13-28
[4]肖晓春,林皋,迟世春.桩-土-结构动力相互作用的分析模型与方法[J].世界地震工程,2002,18(4):123-130
[5]Jacobo B,Kostas L,Yoshaiki H,et al.Domain reductionmethod for three dimensional earthquake modeling inlocalized regions.Part I:Theory[J].Bulletin of theSeismological Society of America,2003,93(2):817-824
[6]廖振鹏.工程波动理论导论[M].北京:科学出版社,2002
[7]Deeks A J,Randolph M F.Axisymmetric time-domaintransmitting boundaries[J].Journal of Engineering Mechanics,ASCE,1994,120(1):25-42
[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
[9]谷音.结构地基动力相互作用问题高效数值方法研究及工程应用[D].北京:清华大学,2005
[10]刘晶波,王振宇,张克峰,等.考虑土-结构相互作用大型动力机器基础三维有限元分析[J].工程力学,2002,19(3):34-38
[11]王振宇,刘晶波,裴欲晓,等.大型动力机器基础防微振计算理论与实测研究[J].岩土工程学报,2002,24(3):363-366
[12]Gupta I D,Joshi R G.An improved spectrum superpositionmethod for structures with rigid modes[J].NuclearEngineering and Design,1998,185:293-307
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心