Open AccessABOUT WAVELET-BASED COMPUTATIONAL BEAM ANALYSIS WITH THE USE OF DAUBECHIES SCALING FUNCTIONS
Author(s) -
Marina L. Mozgaleva,
Pavel А. Akimov,
Таймураз Кайтуков
Publication year - 2019
Publication title -
international journal for computational civil and structural engineering
Language(s) - English
Resource type - Journals
eISSN - 2588-0195
pISSN - 2587-9618
DOI - 10.22337/2587-9618-2019-15-2-95-110
Subject(s) - daubechies wavelet , wavelet , finite element method , scaling , mathematics , cascade algorithm , beam (structure) , mathematical analysis , wavelet transform , discrete wavelet transform , computer science , geometry , structural engineering , artificial intelligence , engineering
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.