Closed-form solutions for gradient elastic beams with geometric discontinuities by Laplace transform
type: Item
instance of: scholarly article
title: Closed-form solutions for gradient elastic beams with geometric discontinuities by Laplace transform
zbMATH Open document ID: 1296.74053
DOI: 10.1155/2013/129872
author: Mustafa Özgür Yayli
published in: Mathematical Problems in Engineering
publication date: 2014-10-13T00:00:00Z
review text: Summary: The static bending solution of a gradient elastic beam with external discontinuities is presented by Laplace transform. Its utility lies in the ability to switch differential equations to algebraic forms that are more easily solved. A Laplace transformation is applied to the governing equation which is then solved for the static deflection of the microbeam. The exact static response of the gradient elastic beam with external discontinuities is obtained by applying known initial conditions when the others are derived from boundary conditions. The results are given in a series of figures and compared with their classical counterparts. The main contribution of this paper is to provide a closed-form solution for the static deflection of microbeams under geometric discontinuities.
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74G05
zbMATH DE Number: 6354129
Wikidata QID: Q59022719
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/129872
OpenAlex ID: W2116701829
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description: scientific article; zbMATH DE number 6354129