Green函数对饱和土隧道内集中荷载作用振动位移反应的计算

丁伯阳;党改红;袁金华

振动与冲击 ›› 2009, Vol. 28 ›› Issue (11) : 110-114.

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振动与冲击 ›› 2009, Vol. 28 ›› Issue (11) : 110-114.
论文

Green函数对饱和土隧道内集中荷载作用振动位移反应的计算

  • 丁伯阳1、党改红2、袁金华1
作者信息 +

The solution of Green function for the displacement response of the saturated soil tunnel by concentrated load

  • Ding Bo-yan1;Dang Gai-hong2;Yuan Jin-hua1
Author information +
文章历史 +

摘要

由于快速列车与城市地铁的发展,饱和土隧道内集中荷载作用的反应问题日显重要。Green函数对辐射条件的满足,积分方程的精确解答,Dirichlet条件下的通用性,使它对隧道内动荷载作用的土动力反应问题计算有着特有的优越性,作者根据已求得两相饱和介质Green函数,利用Lamb积分公式,结合隧道断面特征,以解析积分法推导了集中冲击荷载与简谐荷载圆形断面隧道内振动位移反应表达式闭合解、反应时程曲线、瞬态和稳态的振动形态;并根据它们的单位脉冲响应函数结合Duhamel积分求得隧道在地震荷载作用下的动力反应。另外窗形隧道受集中冲击荷载作用相关弹性波时程曲线也在文中给出。

Abstract


Since the saturated soil under the impact or harmonious load to tunnel will appear vibration displacement, which concerns the liquefaction, and shacked subsidence. The more rapid the super railway and metropolitan subway are developed, the more important the problem of dynamic response that the concentrated force acts inside of saturated soil tunnel is. The Green function has particular superiority for dynamic soil, because it meets the requirement of radiation condition, and it is the accurate solution to integral equation, so that it is widely used in BEM. This essay will be base on the tunnel’s section feature located in saturation soil, in order to analysis its displacement tremor by using integration method. With Green function the close solutions of response about vibration displacement by the impact or harmonious acted to inside of saturation soil tunnel, the travel time cause of elasticity waves and the transient and ordinary modes have been got. Moreover on the basis about response function of the unit impulse with Duhamel's integration the seismic response of the tunnel can be obtained also. On other side, the some results on the tunnel of common window shape were shown. After being calculated, the values indicate that is relevance.

关键词

饱和土 / 隧道 / 集中荷载 / 简谐力 / 冲击力 / 振动位移 / Green函数解答

Key words

saturated soil / tunnel / harmonious load / impact load / vibration displacement / Green function analysis.

引用本文

导出引用
丁伯阳;党改红;袁金华. Green函数对饱和土隧道内集中荷载作用振动位移反应的计算[J]. 振动与冲击, 2009, 28(11): 110-114
Ding Bo-yan;Dang Gai-hong;Yuan Jin-hua . The solution of Green function for the displacement response of the saturated soil tunnel by concentrated load [J]. Journal of Vibration and Shock, 2009, 28(11): 110-114

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