Wavelet-Based Discrete-Continual Finite Element Method of Local Structural Analysis for Two-Dimensional Problems

被引：2
|
作者：
Akimov, Pavel A. [1 ,2 ]
Mozgaleva, Marina L. [1 ]
Aslami, Mojtaba [1 ]
Negrozov, Oleg A. [1 ]
机构：
[1] Moscow State Univ Civil Engn, 26 Yaroslavskoe Shosse, Moscow 129337, Russia
[2] Samara State Univ Architecture & Civil Engn, Samara 443001, Russia
来源：
XXIII R-S-P SEMINAR, THEORETICAL FOUNDATION OF CIVIL ENGINEERING (23RSP) (TFOCE 2014) | 2014年 / 91卷
关键词：
wavelet-based; discrete-continual finite element method; local structural analysis; multipoint boundary problem; system of ordinary differential equations; two-dimensional problems; Haar basis; reduction; ORDINARY DIFFERENTIAL-EQUATIONS; MULTIPOINT BOUNDARY-PROBLEMS; SYSTEMS;
D O I：
10.1016/j.proeng.2014.12.003
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
High-accuracy solution in structural analysis is normally required in some pre-known domains (regions of structure with the risk of significant stresses that could potentially lead to the destruction, regions subjected to specific operational requirements). This paper is devoted to wavelet-based discrete-continual finite element method (DCFEM) of local analysis of deep beams with piecewise constant physical and geometrical parameters in so-called "basic" direction. Initial discrete-continual operational formulation and corresponding formulation with the use of wavelet basis are presented. Due to special algorithms of averaging within multigrid approach, reduction of the problem is provided. Resultant multipoint boundary problem for system of ordinary differential equations is given. (C) 2014 The Authors. Published by Elsevier Ltd.
引用
收藏
页码：8 / 13
页数：6
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