摘要
利用六节点三角形单元有限元对煤厚异常区的真实值进行预计。通过理论推导,给出了六节点三角形单元的单刚矩阵的数学表达,运用有限元的原理,把单刚矩阵组集成总刚矩阵,通过C++语言把这一数学语言转化成计算程序。预计值与物探煤厚真实值相比较表明,六节点三角形单元预计异常煤厚区的误差为:-14.9%～4.85%;而三节点三角形单元预计误差为:-30.14%～18.04%,六节点三角形单元比三节点三角形单元预计准确。
A finite element method consisting of triangular elements with six nodes is used in this paper to forecast variable thickness of coal seams. Mathematical expression of single stiffness matrix of triangular elements with six nodes is derived by theoretical method. Then, the single stiffness matrix is integrated into total stiffness matrix and the latter which is a mathematic lan guage is transformed into computing program by C＋＋ language. Comparison between the forecast coal seam thickness values and the real thicknesses of coal seams obtained from physical exploration shows that the error produced by using triangular element with six nodes for abnormal coal thickness forecast ranges from -14.9% - 4.85% while the error of triangular element with three nodes for abnormal coal seam thickness forecast ranges from -30.14% - 18. 04%. It is thus clear that triangular element with six nodes is more accurate in forecasting the real thickness value of coal seams.
出处
《中国煤炭》
北大核心
2009年第10期39-43,共5页
China Coal
关键词
厚煤层
异常煤厚
煤厚预测
三角形单元
单刚矩阵
总刚矩阵
有限元
thick coal seam
abnormal coal seam thickness
coal seam thickness forecast
triangular element
single stiffness matrix
general stiffness matrix
finite elements
