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A comparison of two perturbation methods for vibrations of systems with quadratic and cubic nonlinearities

✍ Scribed by Mehmet Pakdemirli

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
246 KB
Volume
21
Category
Article
ISSN
0093-6413

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πŸ“œ SIMILAR VOLUMES

A new perturbation solution for systems
A new perturbation solution for systems with strong quadratic and cubic nonlinearities
✍ Mehmet Pakdemirli; Mustafa Mehmet Fatih Karahan πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 170 KB

The new perturbation algorithm combining the method of multiple scales (MS) and Lindstedt-Poincare techniques is applied to an equation with quadratic and cubic nonlinearities. Approximate analytical solutions are found using the classical MS method and the new method. Both solutions are contrasted

NORMAL MODE LOCALIZATION FOR A TWO DEGRE
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✍ R. BHATTACHARYYA; P. JAIN; A. NAIR πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 249 KB

The non-similar normal modes of free oscillations of a coupled non-linear oscillator are examined. So far, the study of non-linear vibrations has been based on the assumption that the system is admissible. This requirement is satis"ed when the sti!ness of the springs are odd functions of their displ