P波垂直入射下海域岛礁场地动力反应分析
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摘要
该文重点研究P波垂直入射时海域岛礁场地的地震反应。截取包含岛礁礁体、海水以及下部基岩的近场计算域建立有限元模型,利用流体介质动力人工边界和一致粘弹性人工边界单元模拟无限海水介质与半无限地基的波动辐射效应。基于介质波动理论推导得到了P波垂直入射时含上覆水层的半空间自由场理论解,并利用基于人工边界子结构的地震波动输入方法,将该自由场运动转化为等效地震输入荷载,从而实现了海域岛礁场地P波垂直输入。通过算例分析,验证了该文模型与方法的准确性。并利用该地震反应分析模型研究海水与礁体的耦合作用以及水体中的波动输入对海域岛礁场地地震反应的影响。该研究可为海域场地地震反应分析提供一定的理论指导和方法借鉴。
This paper focuses on the seismic response of a reef engineering site under vertically incident P wave. A near-field calculation domain including reef, seawater and bedrock is intercepted and a finite element model for a reef-seawater system is established, in which the wave radiation effects of the infinite seawater domain and the semi-infinite rock foundation are simulated by the dynamical artificial boundary for fluid medium and the consistent viscous-spring artificial boundary element respectively. The theoretical solution of the free field motion of a half-space model with an overlying water layer under normally incident P wave is derived based on the medium wave theory. Then, this free-field motion is converted into equivalent seismic input loads through the seismic wave input method based on the substructure of artificial boundaries. Thereby, the P wave is vertically inputted into the reef-seawater system and the seismic analysis model of the reef engineering site is proposed. The accuracy of the present analysis model is verified through numerical examples. Furthermore, this analysis model is used to study the influences of the coupling effect of the reef and seawater as well as the wave input in the fluid medium on the seismic response of a reef engineering site. This study can provide some theoretical and methodological insight for the seismic response analysis of marine engineering.
This paper focuses on the seismic response of a reef engineering site under vertically incident P wave. A near-field calculation domain including reef, seawater and bedrock is intercepted and a finite element model for a reef-seawater system is established, in which the wave radiation effects of the infinite seawater domain and the semi-infinite rock foundation are simulated by the dynamical artificial boundary for fluid medium and the consistent viscous-spring artificial boundary element respectively. The theoretical solution of the free field motion of a half-space model with an overlying water layer under normally incident P wave is derived based on the medium wave theory. Then, this free-field motion is converted into equivalent seismic input loads through the seismic wave input method based on the substructure of artificial boundaries. Thereby, the P wave is vertically inputted into the reef-seawater system and the seismic analysis model of the reef engineering site is proposed. The accuracy of the present analysis model is verified through numerical examples. Furthermore, this analysis model is used to study the influences of the coupling effect of the reef and seawater as well as the wave input in the fluid medium on the seismic response of a reef engineering site. This study can provide some theoretical and methodological insight for the seismic response analysis of marine engineering.
引文
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[2]李小军.海域工程场地地震安全性评价的特殊问题[J].震灾防御技术,2006,1(2):97―104.Li Xiaojun.Special problems on evaluation of seismic safety for offshore engineering site[J].Technology for Earthquake Disaster Prevention,2006,1(2):97―104.(in Chinese)
[3]宝鑫,刘晶波.考虑流-固耦合效应的含液容器动力响应有限元分析方法[J].核动力工程,2017,38(2):111―114.Bao Xin,Liu Jingbo.Dynamic finite element analysis methods for liquid container considering fluid-structure interactions[J].Nuclear Power Engineering,2017,38(2):@TR111―114.(in Chinese)
[4]Wang P,Zhao M,Li H,et al.An accurate and efficient time-domain model for simulating water-cylinder dynamic interaction during earthquakes[J].Engineering Structures,2018,166(1):263―273.
[5]刘晶波,王振宇,杜修力,等.波动问题中的三维时域粘弹性人工边界[J].工程力学,2005,22(6):46―51.Liu Jingbo,Wang Zhenyu,Du Xiuli,et al.Three-dimensional visco-elastic artificial boundaries in time domain for wave motion problems[J].Engineering Mechanics,2005,22(6):46―51.(in Chinese)
[6]Zhao M,Wu L,Du X,et al.Stable high-order absorbing boundary condition based on new continued fraction for scalar wave propagation in unbounded multilayer media[J].Computer Methods in Applied Mechanics&Engineering,2018,334(1):111―137.
[7]刘晶波,宝鑫,谭辉,等.波动问题中流体介质的动力人工边界[J].力学学报,2017,49(6):1418―1427.Liu Jingbo,Bao Xin,Tan Hui,et al.Dynamical artificial boundary for fluid medium in wave motion problems[J].Chinese Journal of Theoretical and Applied Mechanics,2017,49(6):1418―1427.(in Chinese)
[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.Liu Jingbo,LüYandong.A direct method for analysis of dynamic soil-structure interaction[J].China Civil Engineering Journal,1998,31(3):55―64.(in Chinese)
[9]赵建锋,杜修力,韩强,等.外源波动问题数值模拟的一种实现方式[J].工程力学,2007,24(4):52―58.Zhao Jianfeng,Du Xiuli,Han Qiang,et al.An approach to numerical simulation for external source wave motion[J].Engineering Mechanics,2007,24(4):52―58.(in Chinese)
[10]黄景琦,杜修力,赵密,等.近场数值波动分析中地震波输入的一种简化方法[J].振动与冲击,2015,34(3):77―82.Huang Jingqi,Du Xiuli,Zhao Mi,et al.A simplified seismic wave input method for near-field wave analysis[J].Journal of Vibration and Shock,2015,34(3):77―82(in Chinese)
[11]刘晶波,谭辉,宝鑫,等.土-结构动力相互作用分析中基于人工边界子结构的地震波动输入方法[J].力学学报,2018,50(1):32―43.Liu Jingbo,Tan Hui,Bao Xin,et al.The seismic wave input method for soil-structure dynamic interaction analysis based on the substructure of artificial boundaries[J].Chinese Journal of Theoretical and Applied Mechanics,2018,50(1):32―43.(in Chinese)
[12]宝鑫,刘晶波,韩鹏飞,等.流体人工边界在海域场地地震分析中的应用[J].地震工程与工程振动,2018,38(S2):97―103.Bao Xin,Liu Jingbo,Han Pengfei,et al.Application of fluid medium artificial boundary in seismic analysis of ocean engineering site[J].Earthquake Engineering and Engineering Dynamics,2018,38(S2):97―103.(in Chinese)
[13]刘晶波,谷音,杜义欣.一致粘弹性人工边界及粘弹性边界单元[J].岩土工程学报,2006,28(9):1070―1075.Liu Jingbo,Gu Yin,Du Yixin.Consistent viscous-spring artificial boundaries and viscous-spring boundary elements[J].Chinese Journal of Geotechnical Engineering,2006,28(9):1070―1075.(in Chinese)
[14]杜修力.工程波动理论与方法[M].北京:科学出版社,2009:18―19.Du Xiuli.Theories and methods of wave motion for engineering[M].Beijing:Science Press,2009:18―19.(in Chinese)