Analytical Solution for Free Vibration Analysis of Beam on Elastic Foundation with Different Support Conditions
Joint Authors
Ozturk, Baki
Coskun, Safa Bozkurt
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-13
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Analytical solutions for free vibration analyses of a beam on elastic foundation are obtained for different support conditions.
The analytical solutions are applied on three different axially loaded cases, namely; (1) one end clamped, the other end simply supported; (2) both ends clamped, and (3) both ends simply supported cases.
Analytical solutions and frequency factors are evaluated for different ratios of axial load, N, acting on the beam to Euler buckling load, Nr.
The analytical solutions give results which are in excellent agreement with the variational iteration method (VIM) and homotopy perturbation method (HPM) results available in the literature for the particular problem considering all the cases provided in this study and the differential transform method (DTM) results available in the literature for the clamped-pinned case.
American Psychological Association (APA)
Ozturk, Baki& Coskun, Safa Bozkurt. 2013. Analytical Solution for Free Vibration Analysis of Beam on Elastic Foundation with Different Support Conditions. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1009488
Modern Language Association (MLA)
Ozturk, Baki& Coskun, Safa Bozkurt. Analytical Solution for Free Vibration Analysis of Beam on Elastic Foundation with Different Support Conditions. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1009488
American Medical Association (AMA)
Ozturk, Baki& Coskun, Safa Bozkurt. Analytical Solution for Free Vibration Analysis of Beam on Elastic Foundation with Different Support Conditions. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1009488
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009488