Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.13087/1613
Title: APPROXIMATE FORMULATION OF THE RIGID BODY MOTIONS OF AN ELASTIC RECTANGLE UNDER SLIDING BOUNDARY CONDITIONS
Authors: Şahin, Onur
Erbaş, Barış
Wilson, Brent
Keywords: elastic rectangle
low-frequency
rigid body motion
perturbation scheme
sliding boundary conditions
Issue Date: 2021
Publisher: Sciendo
Abstract: Low-frequency analysis of in-plane motion of an elastic rectangle subject to end loadings together with sliding boundary conditions is considered. A perturbation scheme is employed to analyze the dynamic response of the elastic rectangle revealing nonhomogeneous boundary-value problems for harmonic and biharmonic equations corresponding to leading and next order expansions, respectively. The solution of the biharmonic equation obtained by the separation of variables, a consequence of sliding boundary conditions, gives an asymptotic correction to the rigid body motion of the rectangle. The derived explicit approximate formulae are tested for different kinds of end loadings together with numerical examples demonstrating the comparison against the exact solutions.
URI: https://doi.org/10.2478/ama-2021-0012
https://hdl.handle.net/20.500.13087/1613
ISSN: 1898-4088
2300-5319
Appears in Collections:Matematik Bölümü Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu

Show full item record

CORE Recommender

Page view(s)

20
checked on Oct 3, 2022

Google ScholarTM

Check

Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.