کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1709088 | 1012841 | 2011 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Higher order approximate periodic solutions for nonlinear oscillators with the Hamiltonian approach
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Higher order approximate periodic solutions for nonlinear oscillators with the Hamiltonian approach Higher order approximate periodic solutions for nonlinear oscillators with the Hamiltonian approach](/preview/png/1709088.png)
چکیده انگلیسی
In this work, the Hamiltonian approach is applied to obtain the natural frequency of the Duffing oscillator, the nonlinear oscillator with discontinuity and the quintic nonlinear oscillator. The Hamiltonian approach is then extended to the second and third orders to find more precise results. The accuracy of the results obtained is examined through time histories and error analyses for different values for the initial conditions. Excellent agreement of the approximate frequencies and the exact solution is demonstrated. It is shown that this method is powerful and accurate for solving nonlinear conservative oscillatory systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 24, Issue 12, December 2011, Pages 2042-2051
Journal: Applied Mathematics Letters - Volume 24, Issue 12, December 2011, Pages 2042-2051
نویسندگان
A. Yildirim, Z. Saadatnia, H. Askari, Y. Khan, M. KalamiYazdi,