کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1136368 | 1489156 | 2011 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms](/preview/png/1136368.png)
چکیده انگلیسی
In this paper, Hamiltonian Approach (HA) is applied to obtain the analytical approximate solution of the nonlinear oscillators with Rational and Irrational Elastic Terms. Periodic solutions are analytically verified and consequently the relationship between the natural frequency and the initial amplitude is obtained in an analytical form. A comparison of the period of oscillation and obtained solutions with the exact results illustrates that the Hamiltonian approach is very effective and quite accurate for nonlinear equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 54, Issues 1–2, July 2011, Pages 697–703
Journal: Mathematical and Computer Modelling - Volume 54, Issues 1–2, July 2011, Pages 697–703
نویسندگان
Ahmet Yildirim, Z. Saadatnia, H. Askari,