摘要
利用B样条小波的性质,以B样条小波尺度函数作为插值基函数,构造了基于钢构件稳定分析问题的偏微分方程数值求解方法.根据样条函数的数值特征,得到了简支梁的截面转角数值解.在不同的阶数和分解尺度下,该方法能得到不同精度、不同分辨率的结果.数值算例分析表明:与解析解相比,文中构造的B样条小波求解方法具有计算精度高、收敛比较快的特点.
By analyzing the properties of B-spline wavelet,wavelet scaling functions are used as the basis function of wavelet finite element method,which can be used to solve those differential equations based on stability analysis of steel members.The numerical solution of section corner in simply supported beam is obtained from the numerical features of B-spline wavelet.In different order and the decomposition scale,the different accuracy,and different resolution results also can be obtained by this method.Numerical results demonstrates that this method has better accuracy and efficiency in comparison with the analytic solution.
出处
《南昌工程学院学报》
CAS
2011年第3期31-35,共5页
Journal of Nanchang Institute of Technology
基金
江西省科技攻关计划项目(2007CC0200)
南昌工程学院青年基金项目(2006KJ028
2006KJ006)
关键词
B样条小波
微分方程
稳定分析
尺度函数
B-spline wavelet
differential equation
stability analysis
scaling function
