微分法在有限元分析中的应用

基于有限元原理及结构的平衡微分方程,提出了一种求解结构单元形函数的方法。首先,根据结构单元的变形微分方程求解结构变形的常系数解析式;其次,根据单元的边界条件求解相应的系数表达式,并将求出的系数表达式代到解析式中,形成关于单元局部坐标的解析式;最后,提取单元节点广义位移向量,形成单元的形函数矩阵。运用所提出的方法对结构典型杆单元、梁单元的形函数进行求解后发现,所获得的形函数与相关文献提供的形函数完全一致,表明所提方法正确有效,并且同样适用于其他结构单元形函数的求解,从而为有限元的进一步推广和拓展提供了一条行之有效的途径。     

Improvement of efficiency and flexibility in multi-slice helical CT

One of the main aspects in computed tomography (CT) development is to make CT rapidly scan a large longitudinal volume with high z-axis resolution. The combination of helical scanning with multi-slice CT is a promising approach. Image reconstruction in multi-slice CT becomes, therefore, the major challenge. Known algorithms need to derive the complementary data or work only for certain range of pitches. A reconstruction algorithm was presented that works with the direct data as well as arbitrary pitches. Filter interpolation based on the proposed method was implemented easy. The results of computer simulations under kinds of conditions for four-slice CT were presented. The proposed method can obtain higher efficiency than the conventional method.