结构-地基系统静-动力联合分析模型
|
摘要
以有限区域模拟无限区域的动力计算必须考虑边界上波的传播效应,应不使波在边界上发生反射再返回到计算域中,并且应考虑初始静力场对其动力反应的影响。因此,基于无限元的静、动力特性提出静-动力统一无限元,通过算例验证无限元静-动力统一人工边界在静-动力联合分析模型中的精度和稳定性。结果表明:无限元静-动力统一人工边界在静力、动力及静-动力联合分析模型中具有很高的精度和良好的稳定性,突破了传统动力人工边界不能兼顾静力效应的局限。
Effects of waves transmitting in artificial boundary and gravity field should be considered in dynamic analysis.So unified static and dynamic infinite element boundary is herein proposed based on static and dynamic characteristic of infinite element and verified precision and stability in the model for combined static and dynamic analysis.The results show that the model with infinite element boundary has high precision and well stability.
Effects of waves transmitting in artificial boundary and gravity field should be considered in dynamic analysis.So unified static and dynamic infinite element boundary is herein proposed based on static and dynamic characteristic of infinite element and verified precision and stability in the model for combined static and dynamic analysis.The results show that the model with infinite element boundary has high precision and well stability.
引文
[1]廖振鹏.工程波动理论导论[M].北京:科学出版社,2002.(LIAO Zhen-peng.Introduction to Wave Mo-tion Theories in Engineering[M].Beijing:SciencePress,2002.(in Chinese))
[2]王兵见,刘天云.通用有限元系统实现无限域波动仿真方法[J].计算力学学报,2007,24(5):628-632.(WANG Bing-jian,LIU Tian-yun.Simulation ofwave problem in unbounded domains by commercialFEA software[J].Chinese Journal of ComputationalMechanics,2007,24(5):628-632.(in Chinese))
[3]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.(LIU Jing-bo,LYan-dong.A direct methodfor analysis of dynamic soil-structure interaction[J].China Civil Engineering Journal,1998,31(3):55-64.(in Chinese))
[4]燕柳斌.结构与岩土介质相互作用分析方法及其应用[D].广西大学,2004.(YAN Liu-bin.Interaction A-nalysis Method and Application on the Structure andRock Soil Medium[D].Guangxi University,2004.(in Chinese))
[5]Bettess P.Infinite elements[J].Int J Num MethEng,1997,11(2):53-64.
[6]赵崇斌,张楚汉,张光斗.映射动力无穷元及其特性研究[J].地震工程与工程振动,1987,7(3):1-13.(ZHAO Chong-bin,ZHANG Chu-han,ZHANGGuang-dou.Studies on the characteristics of dynamicmapping infinite elements[J].Journal of EarthquakeEngineering and Engineering Vibration,1987,7(3):1-13.(in Chinese))
[7]赵崇斌,张楚汉,张光斗.地基无限域的动力模拟-有限元与无穷元耦合模型[J].水利学报,1990,6(1):20-27.(ZHAO Chong-bin,ZHANG Chu-han,ZHANG Guang-dou.Dynamic simulation of infinitefoundations-a summary of finite and infinite couplingsystem[J].Journal of Hydraulic Engineering,1990,6(1):20-27.(in Chinese))
[8]Zhao Chong-bin,Zhang Chu-han,Zhang Guang-dou.Analysis of 3Dfoundation wave problems by mappeddynamic infinite elements[J].Science in China(SeriesA),1989,32(4):479-491.
[9]ABAQUS User’s Manual[Z].Hibbit,Karlsson andScorensen,Inc.,2004.
[10]徐芝纶.弹性力学[M].北京:高等教育出版社,2008.(XU Zhi-lun.Elastic Mechanics[M].Beijing:High Education Press,2008.(in Chinese))
[11]阿肯巴赫.弹性固体中波的传播[M].上海:同济大学出版社,1992.(Achenbach J.D.Wave Propagationin Elastic Solids[M].Shanghai:Tongji UniversityPress,1992.(in Chinese))
[2]王兵见,刘天云.通用有限元系统实现无限域波动仿真方法[J].计算力学学报,2007,24(5):628-632.(WANG Bing-jian,LIU Tian-yun.Simulation ofwave problem in unbounded domains by commercialFEA software[J].Chinese Journal of ComputationalMechanics,2007,24(5):628-632.(in Chinese))
[3]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.(LIU Jing-bo,LYan-dong.A direct methodfor analysis of dynamic soil-structure interaction[J].China Civil Engineering Journal,1998,31(3):55-64.(in Chinese))
[4]燕柳斌.结构与岩土介质相互作用分析方法及其应用[D].广西大学,2004.(YAN Liu-bin.Interaction A-nalysis Method and Application on the Structure andRock Soil Medium[D].Guangxi University,2004.(in Chinese))
[5]Bettess P.Infinite elements[J].Int J Num MethEng,1997,11(2):53-64.
[6]赵崇斌,张楚汉,张光斗.映射动力无穷元及其特性研究[J].地震工程与工程振动,1987,7(3):1-13.(ZHAO Chong-bin,ZHANG Chu-han,ZHANGGuang-dou.Studies on the characteristics of dynamicmapping infinite elements[J].Journal of EarthquakeEngineering and Engineering Vibration,1987,7(3):1-13.(in Chinese))
[7]赵崇斌,张楚汉,张光斗.地基无限域的动力模拟-有限元与无穷元耦合模型[J].水利学报,1990,6(1):20-27.(ZHAO Chong-bin,ZHANG Chu-han,ZHANG Guang-dou.Dynamic simulation of infinitefoundations-a summary of finite and infinite couplingsystem[J].Journal of Hydraulic Engineering,1990,6(1):20-27.(in Chinese))
[8]Zhao Chong-bin,Zhang Chu-han,Zhang Guang-dou.Analysis of 3Dfoundation wave problems by mappeddynamic infinite elements[J].Science in China(SeriesA),1989,32(4):479-491.
[9]ABAQUS User’s Manual[Z].Hibbit,Karlsson andScorensen,Inc.,2004.
[10]徐芝纶.弹性力学[M].北京:高等教育出版社,2008.(XU Zhi-lun.Elastic Mechanics[M].Beijing:High Education Press,2008.(in Chinese))
[11]阿肯巴赫.弹性固体中波的传播[M].上海:同济大学出版社,1992.(Achenbach J.D.Wave Propagationin Elastic Solids[M].Shanghai:Tongji UniversityPress,1992.(in Chinese))
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