区间B样条小波杂交应力元分析及其应用

Analysis and application of B-spline wavelet on interval hybrid stress element

将小波函数引入到杂交应力元中,以其尺度函数作为插值函数,构造了二维四节点和三维八节点的B样条小波杂交应力元。将数值算例结果与理论解和Abaqus软件计算结果相对比,本文所构造的新型单元具有计算精度高、对单元划分密度不敏感、收敛速度快的优点。

Wavelet function is introduced into hybrid stress element. The scaling functions of BSWI are used to construct the rectangular and cubic wavelet element as interpolation function. The results obtained in this paper are compared with those by Abaqus. The numerical examples illustrate that the wavelet-based element method has higher accuracy and higher accuracy, while it＇s less sensitive to the density of elements.