Abstract Based on the spatial variability of parameters of the support-surrounding rock system, this paper puts for? ward the random finite element analysis method for non-linear foundation beams under the basic framework of random field theory. In the analysis, the Karhunen-Loève series expansion method was utilized for random field discretion, the spatial variability of the interaction between the surrounding rock load and the support-surrounding rock system was simulated, and the multiple random variable model was used to simulate the spatial variability of lining parameters. On such basis, the non-linear spring and the modified Timoshenko foundation beam unit were utilized to build the non-linear foundation beam unit, and the corresponding calculation program was written. This program was used to analyze the mechanical response of supports and in the process, 4 types of typical mechanical response rules were found: (1) the degree of impact of the same variation source on the mechanical response of supports was selective; (2) the level of sensitivity of the same mechanical response on the variation source was various; (3) the impact of the grade of surrounding rock on the mechanical response rules was decisive; and (4) the spatial distribution patterns of mechanical response were uniform.
Abstract：
Based on the spatial variability of parameters of the support-surrounding rock system, this paper puts for? ward the random finite element analysis method for non-linear foundation beams under the basic framework of random field theory. In the analysis, the Karhunen-Loève series expansion method was utilized for random field discretion, the spatial variability of the interaction between the surrounding rock load and the support-surrounding rock system was simulated, and the multiple random variable model was used to simulate the spatial variability of lining parameters. On such basis, the non-linear spring and the modified Timoshenko foundation beam unit were utilized to build the non-linear foundation beam unit, and the corresponding calculation program was written. This program was used to analyze the mechanical response of supports and in the process, 4 types of typical mechanical response rules were found: (1) the degree of impact of the same variation source on the mechanical response of supports was selective; (2) the level of sensitivity of the same mechanical response on the variation source was various; (3) the impact of the grade of surrounding rock on the mechanical response rules was decisive; and (4) the spatial distribution patterns of mechanical response were uniform.
ZHANG Huan
.Response Analysis on Structural Mechanics of Tunnel Lining Taking into Consideration the Spatial Variability of Parameters[J] MODERN TUNNELLING TECHNOLOGY, 2022,V59(3): 88-98
2022, Vol. 59 