WAVELET-BASED DISCRETE-CONTINUAL FINITE ELEMENT PLATE ANALYSIS WITH THE USE OF DAUBECHIES SCALING FUNCTIONS | International Journal for Computational Civil and Structural Engineering

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Published: Sep 24, 2019

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

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

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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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

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

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