Open AccessWAVELET-BASED DISCRETE-CONTINUAL FINITE ELEMENT PLATE ANALYSIS WITH THE USE OF DAUBECHIES SCALING FUNCTIONS
Author(s) -
Marina L. Mozgaleva,
Pavel А. Akimov,
Taymuraz B. Kaytukov
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 - 10.22337/2587-9618-2019-15-3-96-108
Subject(s) - wavelet , piecewise , finite element method , scaling , constant (computer programming) , matlab , mathematics , daubechies wavelet , discrete wavelet transform , software , domain (mathematical analysis) , mathematical analysis , computer science , algorithm , mathematical optimization , wavelet transform , geometry , artificial intelligence , structural engineering , engineering , programming language , operating system
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.