The Homotopy Perturbation Method for free vibration analysis of beam on elastic foundation
Küçük Resim Yok
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
TECHNO-PRESS
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, the homotopy perturbation method (HPM) is applied to free vibration analysis of beam on elastic foundation. This numerical method is applied on three different axially loaded cases, namely: 1) one end fixed, the other end simply supported; 2) both ends fixed 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, 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 all the cases considered in this study and the differential transform method (DTM) results available in the literature for the fixed-pinned case.
Açıklama
Anahtar Kelimeler
homotopy perturbation method, beam on elastic foundation, free vibration analysis
Kaynak
STRUCTURAL ENGINEERING AND MECHANICS
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
37
Sayı
4
