基于五次B样条的子区间法

重构细分划了时域，细分划拓展了0次B样条醒的定义，对高次B样条的递推式进行了拓展，获得了细分划拓展的均匀分划的分段式五次B样条函数，因而拓展了展开定理，构造了五次B样条基函数．该基函数与现有的五次B样奈基函数相比，表征的物理概念更清晰和简洁．基于五次B样条基函数，提出和推导了结构动力响应研究中的位移元子区间法和子区间法的嵌套方法递推格式．通过精度比较，得出子区间法的嵌套方法要优越于位移元子区间法．

Subinterval Method Based on Quintic B-Spline

A time domain was reconstructed and subdivided, the definition of zero order B-spline B^0 was subdivided and extended, and the recurrence relation for the higher order B-spline was extended. Therefore the uniformly-divided piece-wise quintic B-spline function after being subdivided and extended was obtained. Correspondingly, the quintic B-spline basis function was constructed by extending the expansion theorem. In comparison with the existing quintic B-spline basis function, the constructed basis function represents the physical concepts more clearly and concisely. Also, based on the quintic B-spline basis function, the recurrence algorithrns of the subinterval method of displacement element and its nestification method in the research into the structural dynamic response was developed and derived. By comparison of the accuracy, the results showed that the nestification method of subinterval method is better than the subinterval method of displacement element.