Catastrophe analysis on pillar instability considered mining effect
- 47 Downloads
The instability of the pillar was discussed based on the potential energy principle and the cusp catastrophe theory, and a simplified mechanical model of the pillar was established considering the mining effect. The necessary-sufficient conditions, the jump value of displacement of pillar and the released energy expressions were deduced. The results show that the instability of the pillar is related to the properties of the rock, the external force and the relative stiffness of the elastic area to the plastic area. The instability of system is like to occur with the enlarging of the softening area or the decreasing of E/λ. The calculation done shows that the estimated results correspond to practical experience.
Key wordspillar potential energy cusp catastrophe plastic area relative stiffness stability
Unable to display preview. Download preview PDF.
- JIANG Tong, LI Hua-ye, LIU Han-dong. Current state of theoretic research on rockburst[J]. Journal of North China Institute of Water Conservancy and Hydroelectric Power, 1998, 19(1): 45–47. (in Chinese)Google Scholar
- LI Tong-lin, TAN Xue-shu, LIU Chuan-wei. Mine Rock Mechanics[M]. Chongqing: Chongqing University Press, 1991. (in Chinese)Google Scholar
- FEI Hong-lu, XU Xiao-he, TANG Chu-nan. Research on theory of catastrophe of rockburst in underground chamber[J]. Journal of China Coal Society, 1995, 20(1): 29–33. (in Chinese)Google Scholar