ABOUT WAVELET-BASED COMPUTATIONAL BEAM ANALYSIS WITH THE USE OF DAUBECHIES SCALING FUNCTIONS
Journal Title: International Journal for Computational Civil and Structural Engineering - Year 2019, Vol 15, Issue 2
Abstract
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.
Authors and Affiliations
Marina Mozgaleva, Pavel Akimov, Taymuraz Kaytukov
Keywords
Related Articles
- EP ID EP605965
- DOI 10.22337/2587-9618-2019-15-2-95-110
- Views 63
- Downloads 0
ОСОБЕННОСТЬ ОДНОГО КОНСТРУКТИВНОГО РЕШЕНИЯ РЕШЕТКИ БАЛОЧНОЙ ФЕРМЫ
В аналитической форме решена задача о прогибе плоской симметричной статически определимой фермы с двойной решеткой в зависимости от числа панелей. Угол наклона восходящих и нисходящих раскосов фермы разный. К ферме прило...
THE APPROXIMATE SOLUTION FOR PLATES USING MODIFIED RAYLEIGH-RITZ METHOD
For thin elastic plates of arbitrary shape with a smooth pinched or hinged contour based on the modified Rayleigh-Ritz method, explicit expressions are obtained for the approximate values of the maximum deflection from a...
NUMERICAL SIMULATION OF YIELDING SUPPORTS IN THE SHAPE OF ANNULAR TUBES UNDER STATIC AND SHORT-TERM DYNAMIC LOADING
Occurrence of extreme man-made impacts on buildings and structures has become frequent lately as a consequence of condensed explosives or explosive combustion of gas- vapor or air-fuel mixtures. Such accidents involve la...
BOUT THE PROBLEM OF ANALYSIS RESISTANCE BEARING SYSTEMS IN FAILURE OF A STRUCTURAL ELEMENT
This paper focuses on the methods of calculating load-bearing systems in the case of a failure of a structural element. This kind of failure makes it necessary to assess further behavior of the structure with a possibili...
СРАВНИТЕЛЬНЫЙ АНАЛИЗ РЕЗУЛЬТАТОВ НАТУРНОГО И ЧИСЛЕННОГО ЭКСПЕРИМЕНТОВ ПО ОПРЕДЕЛЕНИЮ ПРЕДЕЛЬНОЙ НЕСУЩЕЙ СПОСОБНОСТИ ТОНКОСТЕННЫХ ПРОФИЛЕЙ «АТЛАНТ»
В статье выполнено сравнение результатов натурных экспериментов, изложенных в отчете Канадской лаборатории Bodycote [1], с результатами компьютерного моделирования. Описан испытательный стенд, на котором было испытано ше...