Rheological Mechanics Model of Roof-pillars in Mine Goaf under Multidirectional Loads

孙琦; 张向东; 张淑坤; 卫星; 母倩雯

doi:10.13409/j.cnki.jdpme.2015.05.019

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Rheological Mechanics Model of Roof-pillars in Mine Goaf under Multidirectional Loads

更新时间：2025-12-11

- Rheological Mechanics Model of Roof-pillars in Mine Goaf under Multidirectional Loads
- Vol. 35, Issue 5, Pages: 679-684(2015)
- 作者机构：
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- DOI：10.13409/j.cnki.jdpme.2015.05.019
  CLC： D327.2
- Published：2015
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[1]孙琦,张向东,张淑坤,卫星,母倩雯.多向荷载作用下采空区顶板-矿柱流变力学模型[J].防灾减灾工程学报,2015,35(05):679-684.

孙琦, 张向东, 张淑坤, et al. Rheological Mechanics Model of Roof-pillars in Mine Goaf under Multidirectional Loads[J]. 2015, 35(5): 679-684.
[1]孙琦,张向东,张淑坤,卫星,母倩雯.多向荷载作用下采空区顶板-矿柱流变力学模型[J].防灾减灾工程学报,2015,35(05):679-684. DOI： 10.13409/j.cnki.jdpme.2015.05.019.

孙琦, 张向东, 张淑坤, et al. Rheological Mechanics Model of Roof-pillars in Mine Goaf under Multidirectional Loads[J]. 2015, 35(5): 679-684. DOI： 10.13409/j.cnki.jdpme.2015.05.019.

摘要

为分析多向荷载作用下采空区顶板-矿柱体系的稳定性

将采空区顶板简化为弹性薄板

将矿柱简化为符合Kelvin-Voigt模型的粘弹性体

基于弹性板理论和流变力学理论建立多向荷载作用下采空区顶板-矿柱体系流变力学模型

研究垂直荷载和水平荷载共同作用下的采空区顶板-矿柱体系力学特性

推导采空区顶板的控制方程并采用伽辽金方法进行求解。将建立的流变力学模型应用于某煤矿老采空区稳定时间的预测之中

将预测值与现场监测数据进行了对比分析

验证了模型的可靠性。实践表明

建立的多向荷载作用下采空区流变力学模型能够有效地应用于采空区顶板-矿柱体系稳定时间的预测之中。

Abstract

In order to analyse the stability of roof-pillars system in mine goaf

based on elastic plate theory and rheological mechanics theory

the rheological mechanics model of roof-pillars in mine goaf under multidirectional loads is established

in which pillars are simplified as a viscoelastic body conform to Kelvin-Voigt model and the goaf roof is simplified as an elastic thin plate.The mechanical characters of roof-pillars in mine goaf system under vertical load and horizontal load are researched

and the gob roof deflection differential equations are deduced and solve the differential equations by Galerkin method.The boundary conditions of different stages in goaf roof are taken as the fixed boundaries

which have gradually evolved into the simply supported boundaries at four sides along with the development of creep.The reliability of the model is verified by using the rheological mechanics model for the prediction of stable time of the old goaf in certain mine.The prediction result shows that the total stabilization time of the goaf reaches 77 months

and the goaf would suffer roof caving in January 2013 and the field monitoring result proves that in December 2012

the goaf faced roof caving in partial areas.Researches show that the rheological mechanics model of roof-pillars in mine goaf under multidirectional loads is reliable for the prediction of stable time of the goaf.

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