Research article Vol. 15 No. 3 (2019): International Journal for Computational Civil and Structural Engineering

WAVELET-BASED DISCRETE-CONTINUAL FINITE ELEMENT PLATE ANALYSIS WITH THE USE OF DAUBECHIES SCALING FUNCTIONS

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WAVELET-BASED DISCRETE-CONTINUAL FINITE ELEMENT PLATE ANALYSIS WITH THE USE OF DAUBECHIES SCALING FUNCTIONS

Authors

  • Marina Mozgaleva National Research Moscow State University of Civil Engineering, Moscow, RUSSIA
  • Pavel Akimov Russian Academy of Architecture and Building Sciences, Moscow, RUSSIA. Scientific Research Center “StaDyO”, Moscow, RUSSIA. Tomsk State University of Architecture and Civil Engineering, Tomsk, RUSSIA. Peoples' Friendship University of Russia, Moscow, RUSSIA
  • Taymuraz Kaytukov Russian Academy of Architecture and Building Sciences, Moscow, RUSSIA. Central Institute for Research and Design of the Ministry of Construction and Housing and Communal Services of the Russian Federation, Moscow, RUSSIA

DOI:

https://doi.org/10.22337/2587-9618-2019-15-3-96-108

Keywords:

boundary problem, structural analysis, plate analysis, thin plate, numerical solution, wavelet-based discrete-continual finite element method, wavelet analysis, Daubechies scaling function, Daubechies wavelet

Abstract

The distinctive paper is detoded to special version of wavelet-based discrete-continual finite element method of plate analysis. Daubechies scaling functions are used within this version. Its field of application comprises plates with constant (generally piecewise constant) physical and geometrical parameters along one direction (so-called “basic” direction). Modified continual operational formulation of the problem with the use of the method of extended domain (proposed by A.B. Zolotov) is presented. Corresponding discrete-continual formulation is given as well. Brief information about computer implementation of the method with the use of MATLAB software is provided. Besides numerical sample of analysis of thin plate is considered.

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Published

2019-09-24

How to Cite

Mozgaleva, M., Akimov, P., & Kaytukov, T. (2019). WAVELET-BASED DISCRETE-CONTINUAL FINITE ELEMENT PLATE ANALYSIS WITH THE USE OF DAUBECHIES SCALING FUNCTIONS. International Journal for Computational Civil and Structural Engineering, 15(3), 96-108. https://doi.org/10.22337/2587-9618-2019-15-3-96-108

Keywords

boundary problem, structural analysis, plate analysis, thin plate, numerical solution, wavelet-based discrete-continual finite element method, wavelet analysis, Daubechies scaling function, Daubechies wavelet

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