Approximate solutions for a nonlinear transverse vibration of an elastically restrained tapered beam

Seher Durmaz*, Sezgin Altay Demirbag, Metin O. Kaya

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Özet

This paper introduces the approximate solutions of the mathematical model of elastically restrained tapered beam. At the beginning of the study, the equation of motion is derived. The frequency-amplitude relation is deduced and numerically solved. Hamiltonian approach method is implemented to solve the established model. The numerical results for the first, the second and the third order approximations are further compared with the approximate analytical solutions for both small and large amplitude of oscillations, and a very good agreement is observed.

Orijinal dilİngilizce
Ana bilgisayar yayını başlığıInternational Congress on Advances in Applied Physics and Materials Science, APMAS2011
Sayfalar71-76
Sayfa sayısı6
DOI'lar
Yayın durumuYayınlandı - 2011
Etkinlik1st International Congress on Advances in Applied Physics and Materials Science, APMAS2011 - Antalya, Turkey
Süre: 12 May 201115 May 2011

Yayın serisi

AdıAIP Conference Proceedings
Hacim1400
ISSN (Basılı)0094-243X
ISSN (Elektronik)1551-7616

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???event.eventtypes.event.conference???1st International Congress on Advances in Applied Physics and Materials Science, APMAS2011
Ülke/BölgeTurkey
ŞehirAntalya
Periyot12/05/1115/05/11

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