Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.13087/771
Title: Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation
Authors: Erbaş, Barış
Kaplunov, Julius
Elishakoff, Isaac
Keywords: Timoshenko beam
Winkler foundation
asymptotic
moving load
higher order
Issue Date: 2021
Publisher: Sage Publications Ltd
Abstract: A two-dimensional mixed problem for a thin elastic strip resting on a Winkler foundation is considered within the framework of plane stress setup. The relative stiffness of the foundation is supposed to be small to ensure low-frequency vibrations. Asymptotic analysis at a higher order results in a one-dimensional equation of bending motion refining numerous ad hoc developments starting from Timoshenko-type beam equations. Two-term expansions through the foundation stiffness are presented for phase and group velocities, as well as for the critical velocity of a moving load. In addition, the formula for the longitudinal displacements of the beam due to its transverse compression is derived.
URI: https://doi.org/10.1177/10812865211023885
https://hdl.handle.net/20.500.13087/771
ISSN: 1081-2865
1741-3028
Appears in Collections:Endüstri Mühendisliği Bölümü Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu

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