About Wavelet-based Computational Beam Analysis with the Use of Daubechies Scaling Functions

The first part of the distinctive paper contains brief review of wavelet-based numerical and semianalytical analysis, particularly with the use of Daubechies scaling functions. The second part of the paper is devoted to numerical solution of the problem of static analysis of beam on elastic foundation within Winkler model. Finite element method (FEM) and wavelet analysis (Daubechies scaling functions) are used. Variational formulation and approximation of the problem are under consideration. Numerical sample is presented as well. The third part of the paper is dedicated to wavelet based discrete-continual finite element method of beam analysis with allowance for impulse load. Daubechies scaling functions are used as well.