𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A classical iteration procedure valid for certain strongly nonlinear oscillators

✍ Scribed by H. Hu; J.H. Tang

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
140 KB
Volume
299
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

A classical iteration procedure is applied to nonlinear oscillations of conservative single-degree-of-freedom systems with odd nonlinearity. With the procedure, the analytical approximate frequency and the corresponding periodic solution, valid for small as well as large amplitudes of oscillation, can be obtained. Two examples are given to illustrate the accuracy and effectiveness of the method. Another advantage of this classical iteration approach is that it also works if the linear part of restoring force is zero.

πŸ“œ SIMILAR VOLUMES

A modified Mickens iteration procedure f
A modified Mickens iteration procedure for nonlinear oscillators
✍ Y.M. Chen; J.K. Liu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 241 KB

Based on the Mickens procedure, a new iteration scheme is proposed for nonlinear oscillators. Different from the existing Mickens procedures, in the proposed procedure, the algebraic equation governing the frequency of oscillation deduced at each iteration stage is always linear. Taking the Duffing