| Catastrophe analysis on pillar instability considered mining effect |
| |
| 作者姓名： | 李东腾 曹平 |
| |
| 作者单位： | SchoolotResourcesandSafetyEngineering,CentralSouthUniversity,Changsha410083,China |
| |
| 摘 要： | 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.
|
| 关 键 词： | 位能 可塑范围 相关硬度 稳定性 采矿 |
| 收稿时间： | 10 February 2004 |
| 修稿时间： | 9 October 2004 |
Catastrophe analysis on pillar instability considered mining effect |
| |
| Li Jiang-teng,and Cao Ping.Catastrophe analysis on pillar instability considered mining effect[J].Journal of Central South University of Technology,2005,12(1):102-106. |
| |
| Authors: | Li Jiang-teng and Cao Ping |
| |
| Affiliation: | (1) School of Resources and Safety Engineering, Central South University, 410083 Changsha, China |
| |
| 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 of E/λ. The calculation done shows that the estimated results correspond to practical experience. |
| |
| Keywords: | pillar potential energy cusp catastrophe plastic area relative stiffness stability |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
