The analysis of free vibration of conservative oscillators with inertia and static type cubic non-linearities by variational-Padé technique
- Authors
- Fesanghary, M.; Geem, Z.W.
- Issue Date
- 2013
- Keywords
- Large amplitude vibration.; Non-linear analysis; Padé approximation; Variational iteration method; VIM
- Citation
- International Journal of Mathematical Modelling and Numerical Optimisation, v.4, no.2, pp.103 - 113
- Journal Title
- International Journal of Mathematical Modelling and Numerical Optimisation
- Volume
- 4
- Number
- 2
- Start Page
- 103
- End Page
- 113
- URI
- https://scholarworks.bwise.kr/gachon/handle/2020.sw.gachon/14990
- DOI
- 10.1504/IJMMNO.2013.055200
- ISSN
- 2040-3607
- Abstract
- In this study, a new method based on the variational iteration method and the Padé approximation is introduced to obtain accurate analytical solutions for some special types of non-linear differential equations, arising in modelling the dynamic behaviour of oscillators with inertia together with cubic stiffness non-linearities. The comparison of the results of a new proposed variational Padé technique for analysing large-amplitude free vibrations of cantilever beams carrying a lumped mass and rotary inertia, with those of other conventional methods, ensures the excellent accuracy of the proposed method. © 2013 Inderscience Enterprises Ltd.
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