Love and Rayleigh correction terms and Padé approximants
type: Item
instance of: scholarly article
title: Love and Rayleigh correction terms and Padé approximants
zbMATH Open document ID: 1141.74029
DOI: 10.1155/2007/94035
author: B. E. Eshmatov
published in: Mathematical Problems in Engineering
publication date: 2008-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/54363
review text: Summary: We propose and discuss simplified theories governing the behavior of beams and plates and keeping the fundamental characteristics of the objects. By simplification, we mean decrease of order of partial differential equations with respect to spatial coordinates. Our approach is used for both discrete and continuous models. An advantage of Padé approximation is addressed. The first part of this report deals with approximation of beam equation by string-like one, and plate equation by membrane-like one. The second part is devoted to the construction of Love-type theory for rod vibrations and Rayleigh-type theory for beam vibrations.
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 5311256
zbMATH Keywords: rod vibrations
zbMATH Keywords: beam vibrations
MaRDI profile type: Publication
OpenAlex ID: W1972565949
cites work: On the weakly nonlinear, transversal vibrations of a conveyor belt with a low and time-varying velocity
cites work: Q4856607
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cites work: Elastic media with microstructure. I: One-dimensional models. (Transl. from the Russian)
description: scientific article; zbMATH DE number 5311256