Dynamic Model for Optimizing Control of the 3D Crossing Tunnels System Stability

Abstract

Stability control of the 3D crossing tunnels system, under a shielded undercrossing, is analyzed in this paper. With the basis of dynamics evolution model and criterion of tunnel deformation and instability, a three-dimensional dynamics model of the stability evolution of a three-dimensional crossover tunnel is established. Combined with the optimal control theory, some most parameters which contain equations of state, conditions of boundary, indicators of performance, control variables, a stability-optimal control dynamics model, and a mathematical formulation of the optimal tunneling speed based on optimal control theory, are created. Through maximum principle, the solutions of optimal driving velocity have been acquired. Reasonability and reliability of dynamics optimal control model has been verified while investigating the behavior on stability of an 3D crossing tunnels system in Guangzhou, China. In the field of risk control in engineering construction, this research also provides preferable guidance.