Combination Solution of Additive Type for Two Coupled Weakly Nonlinear Second Order Differential Equations | ||
| Journal of Basic and Environmental Sciences | ||
| Volume 5, Issue 4, October 2018, Pages 268-281 PDF (3.38 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/jbes.2018.370541 | ||
| Authors | ||
| A. M. Elnaggar; K. M. Khalil; A. M. Omran | ||
| Dept. of Math., Faculty of Science, Benha University, Egypt, B. O. 13518 | ||
| Abstract | ||
| Combinations solution of additive type to a two coupled weakly nonlinear second order differential equations which governed the motion of a two coupled nonlinear oscillator subjected to linear parametric excitation and external excitation. We determined the modulation equations in the amplitude and the phase, steady state solutions, the frequency-response equation and stability analysis of the steady state solutions by MSMS. Numerical study of the frequency-response equations and stability equations are given for different values of the parameters. Results are plotted in group of Figures. Finally discussion and conclusion are given. | ||
| Keywords | ||
| MSM; combinations solution; external excitation | ||
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