Catastrophe analysis on pillar instability considered mining effect^①

来源期刊：中南大学学报(英文版)2005年第1期

论文作者：李江腾 曹平

文章页码：102 - 106

Key words：pillar; potential energy; cusp catastrophe; plastic area; relative stiffness; stability

Abstract: 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 ofE/λ. The calculation done shows that the estimated results correspond to practical experience.

基金信息：the National Natural Science Foundation of China