کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1865969 1037905 2008 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Application of a modified rational harmonic balance method for a class of strongly nonlinear oscillators
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Application of a modified rational harmonic balance method for a class of strongly nonlinear oscillators
چکیده انگلیسی

An analytical approximate technique for conservative nonlinear oscillators is proposed. This method is a modification of the rational harmonic balance method in which analytical approximate solutions have rational form. This approach gives us the frequency of the motion as a function of the amplitude of oscillation. We find that this method works very well for the whole range of parameters, and excellent agreement of the approximate frequencies with the exact one has been demonstrated and discussed. The most significant features of this method are its simplicity and its excellent accuracy for the whole range of oscillation amplitude values and the results reveal that this technique is very effective and convenient for solving conservative truly nonlinear oscillatory systems with complex nonlinearities.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 372, Issue 39, 22 September 2008, Pages 6047–6052
نویسندگان
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