The invention relates to the technical field of underground
engineering stability analysis, and discloses a city gate opening type tunnel three-dimensional excavation face stability upper
limit analysis method which comprises the steps that a city gate opening type tunnel three-dimensional geometric failure model is established, and a symmetric plane and a
radial plane with a rotating shaft as the center are defined; discretizing an excavation surface into a plurality of unit nodes by adopting a spatial
discretization technology, and iteratively calculating discrete point coordinates of a
failure mechanism through a speed compatibility condition; based on an
energy conservation principle, calculating external force acting power and an energy dissipation rate, and deducing a critical
support pressure upper limit solution; and rotating parameters beta A and beta B are optimized through a
genetic algorithm, and the most dangerous
instability mode and the minimum
support pressure are determined. According to the method, on the basis of the
limit analysis upper limit theorem and the associated flow rule, the high-order difference scheme spatial
discretization technology is adopted to capture and calculate control nodes, the three adjacent nodes and the projection points of the nodes on the symmetry plane form a calculation unit, and the problem of stability calculation of the urban gate opening type tunnel three-dimensional excavation face under the complex geometric boundary is solved.