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Research on Dynamic Response of Underground Circular Lining Tunnel under the Action of P waves

机译:p波浪作用下地下圆形衬砌隧道动态响应研究

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Dynamic stress concentration of tunnels and underground engineers under the action of earthquake waves is a fundamental problem. Selecting circular lining tunnel in semi-infinite space under the action of P waves as prototype, based on the assumption of large circular arc, a set of dynamic stress series solution in semi-infinite space and lining is deduced by wave function expansion method. With specific examples, the influences on shallow-buried depth rock tunnels of different factors which include incident frequency, incident angle, buried depth, rock conditions and lining rigidity are studied. The results show that low-frequency P waves are more dangerous to tunnel lining than high-frequency P waves; When P waves is incident from the bottom of the vertical tunnel or small angle (θα = 0° ~ 30°), the damage of tunnel lining is more seriously; Under the hard rock conditions, when the tunnel buried depth reaches more than 100m, the thickness of overlying rock is not a major factor effecting the dynamic stress and earthquake damages of tunnel structure lining; Under the soft surrounding rock condition, the value of dynamic stress concentration coefficient of lining is still up to 6.5 when the buried depth of tunnels is more than 100m, and what's more the tunnel lining may still be caused seriously earthquake damage; With the increasing of lining stiffness, the dynamic stress concentration of lining is more uneven, and the value span is greater; so under the premise of meeting bearing capacity and deformation of lining, soft lining is recommended to adapt in the tunnel structure to decrease earthquake damage of tunnels.
机译:地震波浪行动下隧道和地下工程师的动态应力集中是一个根本的问题。在P波的动作下选择半无限空间中的圆形衬砌隧道作为原型,基于大圆弧的假设,通过波通扩展方法推断出半无限空间和衬里中的一套动态应力序列解决方案。具体实施例,研究了对不同因素的浅层深度岩隧道的影响,包括入射频率,入射角,埋深,岩石条件和衬里刚度。结果表明,低频P波对隧道衬砌比高频P波更危险;当P波入射从垂直隧道或小角度的底部(θα= 0°〜30°)入射时,隧道衬里的损坏更严重;在硬岩条件下,当隧道埋深达到100米以上时,覆盖岩的厚度不是隧道结构衬砌动态应力和地震损伤的主要因素;在柔软的周边岩石条件下,当隧道的埋藏深度超过100米时,衬里的动态应力集中系数的值仍然高达6.5,并且仍然可能导致隧道衬里造成严重地震损坏;随着衬里刚度的增加,衬里的动态应力集中更不均匀,值跨度更大;因此,在会议承载力和衬里变形的前提下,建议软衬里适应隧道结构以减少隧道的地震损坏。

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