کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627678 1631808 2014 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Solution of the damped cubic–quintic Duffing oscillator by using Jacobi elliptic functions
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Solution of the damped cubic–quintic Duffing oscillator by using Jacobi elliptic functions
چکیده انگلیسی

In this paper, we derive an analytical solution of the damped cubic–quintic Duffing oscillator which is based on a rational elliptic form used to obtain exact and approximate solutions of undamped oscillators. We examine different set of system parameter values to assess the accuracy of our derived solution. It is shown that theoretical predictions compares well with the numerical integration solutions obtained by a fourth order Runge–Kutta method. This demonstrates the applicability of rational elliptic forms to solve damped oscillators with higher nonlinear terms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 246, 1 November 2014, Pages 474–481
نویسندگان
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