石膏矿老采空区塑性支撑系统的突变失稳分析

doi:10.13722/j.cnki.jrme.2018.0794

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Abstract The stability of the goaf support system is the key to safe production in gypsum mines. A pillar-beam support system in plastic zones was constructed，and the beam and pillar were taken as the energy releaser and energy dissipater respectively. A cusp catastrophe model was established based on the energy theory，and the condition of instability of the support system was obtained. The results indicate that the instability of support system is caused by the incompatibility of energy release，energy dissipation and geometric deformation. When ?＞0，the energy released from the support system is compatible with the geometric deformation. The support system experiences a quasi-static process from the static state in the bottom leaf to the static state in the top leaf along Path I. When ?＜0，the energy released from the support system cannot be in tune with the geometric deformation. The support system experiences a catastrophic process along Path II. The evolution from the static state in the bottom leaf to the static state in the top leaf is not progressive，but catastrophic. The redundant energy released in this process leads to the mechanical instability of the support system. The sensitivity of the geometric parameters of the support system was analyzed as well. These parameters are ranked according to their sensitivity from high to low，as is shown below：beam thickness＞plastic zone width＞room span＞pillar width＞pillar height. Based on the actual engineering examples，the goaf was classified according to the geometric parameters. The energy catastrophe theory was applied to analyze the stability of support system of goaf in different classes. The analysis results showed that class D goaf should be labeled as the unstable zone，which was consistent with the result of field research. The energy catastrophe theory is thus shown to demonstrate the non-linear mechanical mechanism of support system instability in room-pillar mining goaf.

Key words： mining engineering plastic zone catastrophe theory sensitivity

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	XU Xiaoding1
	2
	ZHOU Yuejin2
	PANG Shun2
	3

Cite this article:

XU Xiaoding1,2,ZHOU Yuejin2, et al. Analysis of catastrophic instability of plastic supporting system in old goaf of gypsum mine[J]. , 2018, 37(11): 2548-2555.

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http://www.rockmech.org/EN/10.13722/j.cnki.jrme.2018.0794 OR http://www.rockmech.org/EN/Y2018/V37/I11/2548

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