摘要
基于温克尔假设,把坚硬顶板视为弹性板(突破把坚硬顶板视为弹性梁的传统思想),把煤柱等效为连续均匀分布的支撑弹簧,从而形成煤柱-顶板相互作用系统。同时,将煤柱视为应变软化介质,采用近似的Weibull分布描述它的损伤本构模型,依据板壳理论和非线性动力学理论对采空区煤柱-顶板系统失稳机理进行了研究,得出了系统失稳的突变机制,并给出了系统失稳的数学判据和力学条件。最后以马脊梁矿为工程实例进行分析,结果表明理论分析值与工程实测数据吻合颇好。本文为进一步研究煤柱-顶板相互作用系统和制定相关规范提供了重要参考。
Based on the winkler＇ s hypothesis, the stiff roof is assumed as an elastic plate （It is totally different with the conventional idea that the stiff roof is assumed as an elastic beam） and the coal pillars are equal to continuously and uniformly distributed support springs, then the coal pillar and stiff roof interaction system is formed. It is also assumed that the coal pillar is a stain-softening medium which can be described by the approximate Weibull＇ s distribution. The paper presents the instability mechanism of the stiff roof and the coal pillar interaction system by using the Plate Mechanics and the Catastrophe Theory, then the catastrophe mechanism of the system instability is gotten and the mathematical and mechanical instability criterion is given. At last, taking Majiliang coal mine as an example, a good agreement exists between the theoretical and experimental results. The paper will be useful for the further research of the coal pillar and stiff roof interaction system and constitution of relevant codes.
出处
《河北工程大学学报（自然科学版）》
CAS
2007年第1期12-16,31,共6页
Journal of Hebei University of Engineering:Natural Science Edition
基金
国家自然科学基金委创新研究群体资助项目(50321803)
关键词
煤柱-顶板相互作用系统
失稳
突变理论
stiff roof and coal pillar interaction system
instability
catastrophe theory
