کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
843519 | 908557 | 2009 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A successive integration technique for the solution of the Duffing oscillator equation with damping and excitation
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A successive integration technique for the solution of the Duffing oscillator equation with damping and excitation A successive integration technique for the solution of the Duffing oscillator equation with damping and excitation](/preview/png/843519.png)
چکیده انگلیسی
In this paper, a successive integration technique is suggested for solving the Duffing oscillator equation with damping and excitation. In the technique, one performs integrations from some initial values over a wider range. Some of them may even be divergent; however, some of them will give a convergent result such that the periodic condition of motion is satisfied. In fact, the convergent result represents a stable periodic solution for the motion. If a convergent result or a stable periodic solution is obtained, the stability test is passed. A harmonic balance method in conjunction with the successive integration technique (abbreviated as HBMSIT) is also suggested. In the method, the initial values are obtained from the harmonic balance method. Therefore, the HBMSIT belongs to the successive integration techniques. Many examples with calculated results are presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 70, Issue 10, 15 May 2009, Pages 3603-3608
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 70, Issue 10, 15 May 2009, Pages 3603-3608
نویسندگان
Y.Z. Chen, X.Y. Lin,