六节点三角形单元预计异常煤厚区研究

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。

有限元方法中网格编码的优化问题

This thesis introduces a new method of net coding. The application of the common triangle net of six nodes, rectangle net of eight nodes and letrahedron net of twelve nodes suggests that the coding produced by this method reduces A) the storage space by 13,15,17 in comparison with common linear coding, and B) the amount of calculation by 70.4%, 48.8%, 37.1%. Moreover, realizing this coding is easy.