成层场地地震波动输入模式研究
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摘要
当前应用时域方法分析水工结构-地基动力相互作用分析是研究热点,但成层场地条件下地震波动输入模式研究较少。通过研究地震波在成层场地波动传播规律,推导了SH波在层间分界面处发生反射和透射的系数公式,之后将其应用于粘弹性人工边界模型改进了传统等效荷载输入模式。改进后的波动输入模式考虑了各层间波动传播速度的不同及层间分界面处波动振幅和相位改变,从而解决了传统等效荷载输入模式求解成层地基时两侧与内部节点波动传播不一致的问题。算例表明该方法具有良好的精度和稳定性,同时结果表明相同的底部波动输入成层自由场表面振动幅值大于均质自由场。
The time-domain analysis method is a research hotspot for hydraulic structure foundation dynamic interaction. However, there are fewer studies on the wave input mechanism under stratified site condition. By studying the wave propagation law of seismic wave in stratified field, the coefficient formula of SH wave reflection and transmission at the interface between layers is derived, and then it is applied to viscoelastic artificial boundary model to improve the traditional equivalent load input mode. The improved seismic input mode takes into account the difference of wave propagation velocity between layers and the change of undulation amplitude and phase at the interface between layers, so as to solve the problem that the wave propagation between two sides and internal nodes is inconsistent when the traditional equivalent load input mode is used to solve the problem of layered foundation. Numerical examples show that the proposed method has good accuracy and stability, and the results show that the surface vibration amplitude of the layered free field with the same bottom fluctuation input is greater than that of the homogeneous free field.
The time-domain analysis method is a research hotspot for hydraulic structure foundation dynamic interaction. However, there are fewer studies on the wave input mechanism under stratified site condition. By studying the wave propagation law of seismic wave in stratified field, the coefficient formula of SH wave reflection and transmission at the interface between layers is derived, and then it is applied to viscoelastic artificial boundary model to improve the traditional equivalent load input mode. The improved seismic input mode takes into account the difference of wave propagation velocity between layers and the change of undulation amplitude and phase at the interface between layers, so as to solve the problem that the wave propagation between two sides and internal nodes is inconsistent when the traditional equivalent load input mode is used to solve the problem of layered foundation. Numerical examples show that the proposed method has good accuracy and stability, and the results show that the surface vibration amplitude of the layered free field with the same bottom fluctuation input is greater than that of the homogeneous free field.
引文
[1]杨正权,赵剑明,刘小生,等.超深厚覆盖层上土石坝动力分析边界处理方法研究[J].土木工程学报,2016(S2):138-143.
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[4]林皋,韩泽军,李伟东,等.多层地基条带基础动力刚度矩阵的精细积分算法[J].力学学报,2012(3):557-567.
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[8]赵瑞斌,张建军,刘中宪,等.基于粘弹性人工边界的阶梯地形地震波动问题分析[J].世界地震工程,2015(3):220-227.
[9]刘晶波,王艳.成层半空间出平面自由波场的一维化时域算法[J].力学学报,2006(2):219-225.
[10]刘晶波,王艳.成层介质中平面内自由波场的一维化时域算法[J].工程力学,2007(7):16-22.
[11]赵密,杜修力,刘晶波,等.P-SV波斜入射时成层半空间自由场的时域算法[J].地震工程学报,2013(1):84-90.
[12]包锐,周叮,刘伟庆,等.粘弹性人工边界及其在盆地地震效应研究中的应用[J].世界地震工程,2013(4):133-140.
[13]蒋新新,李建波,林皋.边坡场地条件下粘弹性人工边界模型的地震输入模式研究[J].世界地震工程,2013(4):126-132.
[14]廖振鹏.工程波动理论导引[M].北京:科学出版社,2002.
[15]杜修力.工程波动理论与方法[M].北京:科学出版社,2009.
[2]赵剑明,温彦锋,刘小生,等.深厚覆盖层上高土石坝极限抗震能力分析[J].岩土力学,2010(S1):41-47.
[3]Pavel I.Galich,Nicholas X.Fang,Mary C.Boyce,et al.Elastic wave propagation in finitely de-formed layered materials [J].Journal of the Mechanics and Physics of Solids,2017,98:390-410.
[4]林皋,韩泽军,李伟东,等.多层地基条带基础动力刚度矩阵的精细积分算法[J].力学学报,2012(3):557-567.
[5]蒋新新.复杂地基条件下粘弹性人工边界模型及其应用[D].大连:大连理工大学,2014.
[6]韩泽军.基础与复杂层状地基动力相互作用研究[D].大连:大连理工大学,2014.
[7]陈宝魁,王东升,成虎.粘弹性人工边界在地震工程中应用研究综述[J].地震研究,2016(1):137-142,182.
[8]赵瑞斌,张建军,刘中宪,等.基于粘弹性人工边界的阶梯地形地震波动问题分析[J].世界地震工程,2015(3):220-227.
[9]刘晶波,王艳.成层半空间出平面自由波场的一维化时域算法[J].力学学报,2006(2):219-225.
[10]刘晶波,王艳.成层介质中平面内自由波场的一维化时域算法[J].工程力学,2007(7):16-22.
[11]赵密,杜修力,刘晶波,等.P-SV波斜入射时成层半空间自由场的时域算法[J].地震工程学报,2013(1):84-90.
[12]包锐,周叮,刘伟庆,等.粘弹性人工边界及其在盆地地震效应研究中的应用[J].世界地震工程,2013(4):133-140.
[13]蒋新新,李建波,林皋.边坡场地条件下粘弹性人工边界模型的地震输入模式研究[J].世界地震工程,2013(4):126-132.
[14]廖振鹏.工程波动理论导引[M].北京:科学出版社,2002.
[15]杜修力.工程波动理论与方法[M].北京:科学出版社,2009.