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首次基于连续体的结构优化理论和有限元方法,采用简化的假定条件,应用拓扑优化理论,以应变能最小即刚度最大为约束条件,成功对不同应力场软弱围岩公路隧道衬砌结构体进行了结构优化。单拱隧道衬砌结构拓扑优化结果表明:不同的应力场和不同的围岩强度,衬砌结构的断面型式和厚度差别较大;随着侧压力系数的增大,衬砌结构断面高跨比应越来越小;衬砌结构拱顶的厚度越来越大,仰拱的作用也越来越明显。连拱隧道衬砌结构的拓扑优化结果除得出与上述单拱隧道相似的结论外,还表明随着围岩强度的降低和侧压力系数的增大,直中墙型式越来越优于曲中墙。
For the first time, based on the theory of continuum structure optimization and finite element method, simplified assumptions and topological optimization theory were applied to minimize the strain energy and the maximum stiffness as the constraint conditions. Structural optimization. The results of topology optimization of single-arch tunnel lining show that different stress field and different surrounding rock strength have great differences in section type and thickness of lining structure. With the increase of lateral pressure coefficient, the cross-section ratio of lining structure should be more and more The smaller the thickness of lining structure vault is larger and larger, the role of inverted arch is more and more obvious. In addition to the conclusion similar to the above single-arch tunnel, the topology optimization results of the double-arch tunnel lining structure also show that with the reduction of the surrounding rock strength and the increase of the lateral pressure coefficient, the straight-wall type is more and more superior to the song wall.