A modified averaging operator with some applications

Vietnam Journal of Mechanics

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Field Value
 
Title A modified averaging operator with some applications
 
Creator Nguyen, Anh Tay
Anh, N. D.
 
Subject weighted local averaging; Galerkin method; buckling; Euler column; free vibration; strong nonlinearity
 
Description The paper presents a new approach to the conventional averaging in which the role of boundary values is considered in a more detailed way. It results in a new weighted local averaging operator (WLAO) taking into account the particular role of boundary values. A remarkable feature of WLAO is that this operator contains a parameter of boundary regulation p and depends on a local value h of the integration domain. By varying these two parameters one can regulate the obtained approximate solutions in order to get more accurate ones. It has been shown that the combination of WLAO with Galerkin method can lead to an effective approximate tool for the buckling problem of columns and for the frequency analysis of free vibration of strongly nonlinear systems. 
 
Publisher Publishing House for Science and Technology
 
Contributor
 
Date 2020-09-27
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

 
Format application/pdf
 
Identifier http://vjs.ac.vn/index.php/vjmech/article/view/15356
10.15625/0866-7136/15356
 
Source Vietnam Journal of Mechanics; Vol 42, No 3 (2020); 341-354
Vietnam Journal of Mechanics; Vol 42, No 3 (2020); 341-354
0866-7136
0866-7136
 
Language eng
 
Relation http://vjs.ac.vn/index.php/vjmech/article/view/15356/pdf
 
Rights Copyright (c) 2020 Vietnam Academy of Science and Technology
 

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