Finite element method of B-spline wavelet on the interval for thin plate bending and vibration analysis

Based on two-dimensional tensor product B-spline wavelet on the interval (BSWI) and wavelet finite element method (WFEM), a finite element method (FEM) of BSWI is investigated to solve the static and vibration problems of thin plates. In the progress of WFEM formulation for thin plate analysis, BSWI scaling functions are employed to approximate the transverse displacements field. From the generalized function of potential energy for rectangle and skew plates, we can obtain the solving equation of WFEM via variational principle. The method combined the versatility of the accuracy of B-spline function approximation and various basis functions for structural analysis. Some numerical examples are studied to verify the proposed method. With few computational degree of freedoms (DOFs), the numerical results of the presented method are in good agreement with the solutions of other methods.