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 67
- Downloads 0
LIRA-SAPR PROGRAM FOR GENERATING DESIGN MODELS OF RECONSTRUCTED BUILDINGS
The paper deals with technique of simulation for buildings at maintenance stage with account of changes in structural model during reconstruction. The authours suggest algorithm for linear and nonlinear analysis of struc...
ЖЕЛЕЗОБЕТОННЫЕ ПЛИТЫ ПОКРЫТИЯ АВТОМОБИЛЬНЫХ ДОРОГ НА УПРУГОМ ПОЛУПРОСТРАНСТВЕ
Статический анализ НДС плиты на упругом основании выполняется двумя способами на примере железобетонной дорожной плиты покрытия 2111130.18-30 серии Б3.503.1-1, предназначенной для временных дорог. Данные плиты рассматр...
ANALYSIS OF FORCED VIBRATIONS OF NONLINEAR PLATES IN A VISCOELASTIC MEDIUM UNDER THE CONDITIONS OF THE DIFFERENT COMBINATIONAL INTERNAL
In the present paper, the force driven dynamic response of a nonlinear plate embedded in a viscoelastic medium, damping features of which are described by the Kelvin-Voigt fractional derivative model, is studied. The mot...
TO THE ASSESSMENT OF VERTICAL CRANE LOAD
The problems of analytical and statistical modeling of the travelling cranes loads are carried out in the paper. The analytical model was expanded by the consideration of influence of the approach of cranes trolley, cons...
ABOUT WAVELET-BASED MULTIGRID NUMERICAL METHOD OF STRUCTURAL ANALYSIS WITH THE USE OF DISCRETE HAAR BASIS
he distinctive paper is devoted to so-called multigrid (particularly two-grid) method of structural analysis based on discrete Haar basis (one-dimensional, two-dimensional and three-dimensional problems are under conside...