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Nonlinear free vibration of conservative oscillators with inertia and static type cubic nonlinearities using homotopy analysis method

✍ Scribed by S.H. Hoseini; T. Pirbodaghi; M. Asghari; G.H. Farrahi; M.T. Ahmadian

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
229 KB
Volume
316
Category
Article
ISSN
0022-460X

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ON THE PERIOD OF LARGE AMPLITUDE FREE VI
ON THE PERIOD OF LARGE AMPLITUDE FREE VIBRATION OF CONSERVATIVE AUTONOMOUS OSCILLATORS WITH STATIC AND INERTIA TYPE CUBIC NON-LINEARITIES
✍ M.N. Hamdan; N.H. Shabaneh 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 376 KB

The concern of this paper is the large amplitude free vibration of strongly non-linear oscillators u¨+ mu + o1u 2 u¨+ o2uu˙2 + o2u 3 = 0, where m =1, 0, or -1, o1 and o2 are positive parameters which may be arbitrarily large, and u(t) may be of order unity. Approximate analytical solutions for the p