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Non-linear vibrating systems in resonance governed by hyperbolic differential equations

✍ Scribed by G.N. Bojadziev


Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
574 KB
Volume
11
Category
Article
ISSN
0020-7462

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πŸ“œ SIMILAR VOLUMES


COMPLEX NORMAL FORM FOR STRONGLY NON-LIN
✍ A.Y.T. Leung; Q.C. Zhang πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 186 KB

We extend the normal form method to study the asymptotic solutions of strongly non-linear oscillators u¨+ v 2 u = f(u, u˙), where f(u, u˙) contains only linear and cubic non-linear terms. The novel contribution is the ansatz u = j + j , u˙= iv1(j -j ) where v1 is to be determined, allowing for the c