Stability Configuration of a Rocking Rigid Rod over a Circular Surface Using the Homotopy Perturbation Method and Laplace Transform

Author:

El-Dib Yusry O.ORCID,Moatimid Galal M.

Funder

National Brain Tumor Society

Publisher

Springer Science and Business Media LLC

Subject

Multidisciplinary

Reference24 articles.

1. Nayfeh, A.H.; Mook, D.T.: Nonlinear Oscillations. Wiley, New York (1979)

2. Nayfeh, A.H.: Perturbation Methods. Wiley, New York (1973)

3. Awrejcewicz, J.; Andrianov, I.V.; Manevitch, L.I.: Asymptotic Approaches in Nonlinear Dynamics (New Trends and Applications). Springer, Berlin (1998)

4. El-Dib, Y.O.; Moatimid, G.M.: On the coupling of the homotopy perturbation and Frobenius method for exact solutions of singular nonlinear differential equations. Nonlinear Sci. Lett. A 9(3), 220–230 (2018)

5. He, J.H.: Modified Lindstedt–Poincare methods for some strongly nonlinear oscillations: part I—expansion of a constant. Int. J. Nonlinear Mech. 37(2), 309–314 (2002)

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