Homotopy perturbation method for free vibration analysis of beams on elastic foundation

Baki Ozturk; Safa Bozkurt Coskun; Mehmet Zahid Koc; Mehmet Tarik Atay

doi:10.1088/1757-899X/10/1/012158

Homotopy perturbation method for free vibration analysis of beams on elastic foundation

Baki Ozturk
, Safa Bozkurt Coskun
, Mehmet Zahid Koc
, Mehmet Tarik Atay

Research output: Contribution to journal › Conference article › peer-review

8 Citations (Scopus)

Abstract

In this study, the homotopy perturbation method (HPM) is applied for free vibration analysis of beam on elastic foundation. This numerical method is applied on a previously available case study. Analytical solutions and frequency factors are evaluated for different ratios of axial load N acting on the beam to Euler buckling load, N_r. The application of HPM for the particular problem in this study gives results which are in excellent agreement with both analytical solutions and the variational iteration method (VIM) solutions for the case considered in this study and the differential transform method (DTM) results available in the literature.

Original language	English
Article number	012158
Journal	IOP Conference Series: Materials Science and Engineering
Volume	10
Issue number	1
DOIs	https://doi.org/10.1088/1757-899X/10/1/012158
Publication status	Published - 2014
Externally published	Yes
Event	9th World Congress on Computational Mechanics, WCCM 2010, Held in Conjuction with the 4th Asian Pacific Congress on Computational Mechanics, APCOM 2010 - Sydney, Australia Duration: 19 Jul 2010 → 23 Jul 2010

Access to Document

10.1088/1757-899X/10/1/012158

Cite this

@article{9131df301dfd4bf188fdb582aec2aebe,

title = "Homotopy perturbation method for free vibration analysis of beams on elastic foundation",

abstract = "In this study, the homotopy perturbation method (HPM) is applied for free vibration analysis of beam on elastic foundation. This numerical method is applied on a previously available case study. Analytical solutions and frequency factors are evaluated for different ratios of axial load N acting on the beam to Euler buckling load, Nr. The application of HPM for the particular problem in this study gives results which are in excellent agreement with both analytical solutions and the variational iteration method (VIM) solutions for the case considered in this study and the differential transform method (DTM) results available in the literature.",

author = "Baki Ozturk and Coskun, \{Safa Bozkurt\} and Koc, \{Mehmet Zahid\} and Atay, \{Mehmet Tarik\}",

note = "Publisher Copyright: {\textcopyright} 2010 IOP Publishing Ltd.; 9th World Congress on Computational Mechanics, WCCM 2010, Held in Conjuction with the 4th Asian Pacific Congress on Computational Mechanics, APCOM 2010 ; Conference date: 19-07-2010 Through 23-07-2010",

year = "2014",

doi = "10.1088/1757-899X/10/1/012158",

language = "English",

volume = "10",

journal = "IOP Conference Series: Materials Science and Engineering",

issn = "1757-8981",

publisher = "IOP Publishing Ltd.",

number = "1",

}

TY - JOUR

T1 - Homotopy perturbation method for free vibration analysis of beams on elastic foundation

AU - Ozturk, Baki

AU - Coskun, Safa Bozkurt

AU - Koc, Mehmet Zahid

AU - Atay, Mehmet Tarik

PY - 2014

Y1 - 2014

N2 - In this study, the homotopy perturbation method (HPM) is applied for free vibration analysis of beam on elastic foundation. This numerical method is applied on a previously available case study. Analytical solutions and frequency factors are evaluated for different ratios of axial load N acting on the beam to Euler buckling load, Nr. The application of HPM for the particular problem in this study gives results which are in excellent agreement with both analytical solutions and the variational iteration method (VIM) solutions for the case considered in this study and the differential transform method (DTM) results available in the literature.

AB - In this study, the homotopy perturbation method (HPM) is applied for free vibration analysis of beam on elastic foundation. This numerical method is applied on a previously available case study. Analytical solutions and frequency factors are evaluated for different ratios of axial load N acting on the beam to Euler buckling load, Nr. The application of HPM for the particular problem in this study gives results which are in excellent agreement with both analytical solutions and the variational iteration method (VIM) solutions for the case considered in this study and the differential transform method (DTM) results available in the literature.

UR - https://www.scopus.com/pages/publications/84907699978

U2 - 10.1088/1757-899X/10/1/012158

DO - 10.1088/1757-899X/10/1/012158

M3 - Conference article

AN - SCOPUS:84907699978

SN - 1757-8981

VL - 10

JO - IOP Conference Series: Materials Science and Engineering

JF - IOP Conference Series: Materials Science and Engineering

IS - 1

M1 - 012158

T2 - 9th World Congress on Computational Mechanics, WCCM 2010, Held in Conjuction with the 4th Asian Pacific Congress on Computational Mechanics, APCOM 2010

Y2 - 19 July 2010 through 23 July 2010

ER -

Homotopy perturbation method for free vibration analysis of beams on elastic foundation

Abstract

Access to Document

Other files and links

Fingerprint

Cite this