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为提高弹性地基梁的计算精度,将Daubechies条件小波有限元法应用于弹性地基梁的计算中。以受集中力作用的弹性地基梁为例,基于传统的Daubechies小波Galerkin法,结合广义变分原理进行改进,将边界条件直接引入求解方程,可以避免小波系数与单元内部节点位移之间的转换,提高计算精度。并分别针对中间单元、左端单元及右端单元构造求解矩阵,进一步组装总体求解矩阵,形成Daubechies条件小波有限元法。最后,通过典型算例,验证Daubechies条件小波有限元法计算弹性地基梁的精度。
In order to improve the calculation accuracy of elastic foundation beam, Daubechies condition wavelet finite element method is applied to the calculation of elastic foundation beam. Based on the traditional Daubechies wavelet Galerkin method and the generalized variational principle, the boundary conditions are directly introduced into the solution equation to avoid the conversion between the wavelet coefficients and the displacement of the node inside the unit. Improve calculation accuracy. The solution matrices of the middle unit, the left unit and the right unit are respectively constructed, and the overall solution matrix is further assembled to form the Daubechies condition wavelet finite element method. Finally, a typical example is used to verify the accuracy of the Daubechies conditional wavelet finite element method in calculating the elastic foundation beam.