隧道-土-隧道轴向动力相互作用的一个解析解
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摘要
本文采用波函数展开法给出弹性半空间中隧道-土-隧道轴向动力相互作用的一个解析解,并通过对地表位移残差的收敛性分析对解析解的精度进行了验证。研究了隧道埋深、隧道质量、隧道间距、波入射频率和入射角度等参数对隧道轴向动力响应的影响。研究表明,隧道埋深越小,隧道动力响应越大;隧道质量越大,隧道动力响应越大;隧道间距越小,隧道动力响应越大,但隧道间距的影响并不是单调变化,与波入射频率密切相关,两个隧道情况动力响应幅值可达单隧道情况的2.7倍。当隧道间距较小时,地下隧道的抗震设计需要考虑隧道之间的影响。
This paper presents an analytical solution of dynamic tunnel-soil-tunnel interaction in longitudinal direction in half-space,and verifies the precision of the solution by the convergence analysis of surface displacement residuals. This paper studies the effects of tunnel depth,tunnel mass,tunnel interval,incident wave frequency and incident angle on the dynamic responses of tunnels in longitudinal direction. It is shown that,when the tunnel depth is shallow,the dynamic responses of tunnels are large; when the tunnel mass is large,the dynamic responses of tunnels are large; when the tunnel interval is small,the dynamic responses of tunnels are large,but its effect is not monotonic,and is significantly influenced by incident frequency,and the dynamic responses of tunnels can be up to 2. 7 times hat of single tunnel. It is suggested that tunnel-soil-tunnel interaction should be considered in seismic design of underground tunnels,when the tunnel interval is small.
This paper presents an analytical solution of dynamic tunnel-soil-tunnel interaction in longitudinal direction in half-space,and verifies the precision of the solution by the convergence analysis of surface displacement residuals. This paper studies the effects of tunnel depth,tunnel mass,tunnel interval,incident wave frequency and incident angle on the dynamic responses of tunnels in longitudinal direction. It is shown that,when the tunnel depth is shallow,the dynamic responses of tunnels are large; when the tunnel mass is large,the dynamic responses of tunnels are large; when the tunnel interval is small,the dynamic responses of tunnels are large,but its effect is not monotonic,and is significantly influenced by incident frequency,and the dynamic responses of tunnels can be up to 2. 7 times hat of single tunnel. It is suggested that tunnel-soil-tunnel interaction should be considered in seismic design of underground tunnels,when the tunnel interval is small.
引文
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