毕业论文-基于边界元的煤岩体稳定性分析.doc

中国矿业大学
本科生毕业论文
姓名: 金红全学号: 10094715
学院: 力学与建筑工程学院
专业: 工程力学
论文题目: 基于边界元的煤岩体稳定性分析
指导教师: 高亚楠职称: 讲师


二○一三年六月
徐州
摘要
在数学模拟方法中,以往只有“有限元方法”可以灵活的处理煤岩体复杂的非线性性状及地质的不连续性。近十余年来,边界元法已有很大发展,提供了求解煤岩体力学问题的另一种数值方法,无论是处理复杂的非线性因素,边界元法都具有它的特色,是一种简单而效率高的数值方法。
煤层巷道的稳定性受地应力影响极大,分析不同地应力分布情况下煤岩巷道的稳定性对煤炭开采具有较大的工程意义和指导作用。本文首先介绍了边界元的发展及基本原理,随后采用边界元算法,计算了不同地应力分布情况下煤岩巷道的位移场、应力场分布及其演化规律。计算表明在地应力与水平方向呈45°时,巷道变形较为明显,容易失稳,因此,在实际开挖时,应尽量避免45°角方向开挖深部煤岩层巷道。
关键字:
边界元法; 煤岩体稳定性;二维弹性问题; 间接边界元法; 直接边界元法;
ABSTRACT
The finite element method was the only way to well solve plex nonlinear behavior of coal and rock mass and geological discontinuity among all the mathematical simulation methods. During recent ten years, as a simple and high-efficient numerical method, boundary element method has been developed greatly, which provides an alternative method to deal with coal and rock mass mechanics and shows its specialty in dealing with plex nonlinear element.
The stability of coal roadway influenced by crustal stress is great. Analysis the stability of the coal rock under different crustal stress distribution of coal mining has great engineering significance and guiding role. This paper first introduces the development of the boundary element and the basic principle. Then it uses the boundary element method. Coal rock is calculated under the different in-situ stress distribution of displacement field, stress field distribution and its evolution regularity. Calculation shows that in crustal stress and the 45°to the horizontal direction. The roadway deformation is relatively obvious. The roadway is easy to lose stability. Therefore, the actual excavation should avoid a 45 ° angle direction roadway excavation of deep coal strata.
Key words: boundary element method; stability of coal and rock mass; two-dimensional elastic problems; indirect boundary element method; direct boundary element method
目录
1 边界元发展概况 1
发展历史 1
( 1950—1978 ) 2
( 1978—1990 ) 3