基于状态空间法的无柱型类矩形隧道分析模型  

Structural Analysis of Non-column Quasi-rectangular Shield Tunnel Based on the State Space Method

作　　者：王金昌[1] 范卫洲 黄伟明 WANG Jinchang;FAN Weizhou;HUANG Weiming(College of Civil Engineering and Architecture,Zhejiang University,Hangzhou,China,310058)

机构地区：[1]浙江大学建筑工程学院,浙江杭州310058

出　　处：《沈阳建筑大学学报（自然科学版）》2022年第2期193-201,共9页Journal of Shenyang Jianzhu University：Natural Science

基　　金：国家杰出青年科学基金项目(51825803)。

摘　　要：目的推导无柱型类矩形隧道精确解析解,为此类异形隧道的尺寸设计提供参考。方法基于弹性地基曲梁理论与状态空间法,改变管片的半径布置,对圆形隧道解析解的接头矩阵项进行修正,并通过有限元与解析方法的对比,验证解析方法的准确性。结果推导得到了无柱型类矩形隧道在任意荷载与接头分布形式下的精确解析解;参数分析表明,土弹簧的存在对隧道管片内力与位移发展起抑制作用;仅改变土弹簧刚度系数大小的情况下,内力与位移最值出现位置相对集中;断面利用率相同的情况下,宽高比越大的类矩形隧道结构受力越处于劣势,径向收敛位移最大位置一般为拱顶与拱底部位。结论无柱型类矩形隧道由于形状特殊性尚存在受力缺陷,可考虑设置中立柱,进一步研究立柱型类矩形隧道的解析解及其适用性。Based on the theory of curved beam resting on elastic foundation,using state space method,model of the non-column quasi-rectangular tunnel lining could be established by changing the radius arrangement of circular tunnel.The solution was validated by a comparison with the results of the finite element method and analytical solution.The parameter analyses showed that the soil springs could restrain the development of internal force and displacement of tunnel lining.Changing the stiffness of the soil springs only,the positions of the maximum internal force and displacement were relatively concentrated.Under the same utilization ratio of the section,the tunnel stress was more disadvantageous with a larger aspect ratio.In terms of displacement,the convergence displacement between the arch bottom and vault was the largest,meaning to be most unfavorable monitoring locations.There are some stress defects in the non-column quasi-rectangular tunnel.Thus,quasi-rectangular shield tunnel with column was the key study on next step.

关 键 词：无柱型类矩形隧道 衬砌管片 状态空间法 接头模型 解析解 

分 类 号：TU451[建筑科学—岩土工程]