Free Vibration Analysis of Beam on Elastic Foundation by the Variational Iteration Method
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
FREUND PUBLISHING HOUSE LTD
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper applies the variational iteration method (VIM) to analysis of free vibration of a beam on an elastic foundation. Three different axially loaded cases are considered: 1) one end fixed, the other end simply supported; 2) both ends fixed; and 3) both ends simply supported. Analytical solutions and the frequency factors are obtained for different ratios of axial load acting on the beam to Euler buckling load. The VIM results are in excellent agreement with both analytical solutions for all the cases considered in this paper and the differential transform method (DTM) results available in the literature for the fixed-pinned case.
Açıklama
Anahtar Kelimeler
Variational iteration method, beam on elastic foundation, free vibration analysis
Kaynak
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
10
Sayı
10
