在地下岩体工程中,无论是软岩还是硬岩,只要岩体受力后的应力水平达到或超过该岩体的流变下限,都将随着时间的增长而发生流变变形.基于此,针对圆形断面巷道,在考虑巷道掘进面空间效应的基础上,根据黏弹性理论,建立巷道围岩与支护结构的二次支护耦合作用模型,并获取解析解.按照该思路,可递推出多次支护情况下围岩与支护结构的耦合作用过程.通过算例分析了初次和二次支护时间对支护结构与围岩以及支护结构与支护结构之间相互作用力的影响.结果显示,支护时间对支护结构与围岩以及支护结构与支护结构之间的相互作用力有显著的影响;当二次支护时间不变时,第1个支护结构与巷道围岩之间的相互作用力随着初次支护时间的增大而减小,第1个支护结构与第2个支护结构之间的相互作用力随着初次支护时间的增大而增大;当初次支护时间不变时,支护结构与围岩以及支护结构与支护结构之间的相互作用力都随着二次支护时间的增大而减小. In underground rock engineering, whether soft rock or hard rock, as long as the stress level of the rock mass reaches or exceeds the lower limit of the rheology of the rock mass, the rock deformation will occur with the increase of time. Based on the theory of viscoelasticity, a model of secondary support and coupling between surrounding rock and supporting structure of roadway is established and the analytical solution is obtained, according to the idea of ​​circular space tunnel, considering the spatial effect of roadway heading surface. The coupling process between surrounding rock and supporting structure under several supporting conditions was introduced.An example was given to analyze the interaction between supporting structure and surrounding rock and between supporting structure and supporting structure through primary and secondary supporting time The results show that the support time has a significant influence on the interaction between the support structure and the surrounding rock and between the support structure and the support structure. When the secondary support time is constant, the first branch The interaction force between the retaining structure and the surrounding rock of tunnel decreases with the increase of initial support time. The interaction force between the first support structure and the second support structure decreases with the initial support time Of the increase and increase; when the first support time unchanged, support The interaction between structure and surrounding rock, as well as between support structure and support structure, decreases with the increase of secondary support time.