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- Title
High precise analysis of lateral vibration of quintic nonlinear beam.
- Authors
Sedighi, Hamid M.; Reza, Arash
- Abstract
This article intends to achieve a new formulation of beam vibration with quintic nonlinearity, including exact expressions for the beam curvature. To attain a proper design of the beam structures, it is essential to realize how the beam vibrates in its transverse mode which in turn yields the natural frequency of the system. In this direction, new powerful analytical method called Parameter Expansion Method (PEM) is employed to obtain the exact solution of frequency-amplitude relationship. Afterwards, it is clearly shown that the first term in series expansions is sufficient to produce a highly accurate approximation of mentioned system. Finally, preciseness of the present analytic procedures is evaluated in contrast with numerical calculations methods, giving excellent results.
- Subjects
QUINTIC curves; APPROXIMATION theory; MATHEMATICAL functions; ALGEBRAIC curves; NUMERICAL calculations; COMPOSITE construction
- Publication
Latin American Journal of Solids & Structures, 2013, Vol 10, Issue 2, p441
- ISSN
1679-7817
- Publication type
Article
- DOI
10.1590/S1679-78252013000200010