Free Vibrations of an Elastically Restrained Euler Beam Resting on a Movable Winkler Foundation
Joint Authors
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-13
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The traditional theory of beam on elastic foundation implies a hypothesis that the elastic foundation is static with respect to the inertia reference frame, so it may not be applicable when the foundation is movable.
A general model is presented for the free vibration of a Euler beam supported on a movable Winkler foundation and with ends elastically restrained by two vertical and two rotational springs.
Frequency equations and corresponding mode shapes are analytically derived and numerically solved to study the effects of the movable Winkler foundation as well as elastic restraints on beam’s natural characteristics.
Results indicate that if one of the beam ends is not vertically fixed, the effect of the foundation’s movability cannot be neglected and is mainly on the first two modes.
As the foundation stiffness increases, the first wave number, sometimes together with the second one, firstly decreases to zero at the critical foundation stiffness and then increases after this point.
American Psychological Association (APA)
Zhou, Qiang& Wang, Tong. 2019. Free Vibrations of an Elastically Restrained Euler Beam Resting on a Movable Winkler Foundation. Shock and Vibration،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1211086
Modern Language Association (MLA)
Zhou, Qiang& Wang, Tong. Free Vibrations of an Elastically Restrained Euler Beam Resting on a Movable Winkler Foundation. Shock and Vibration No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1211086
American Medical Association (AMA)
Zhou, Qiang& Wang, Tong. Free Vibrations of an Elastically Restrained Euler Beam Resting on a Movable Winkler Foundation. Shock and Vibration. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1211086
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1211086