کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10419154 | 903470 | 2005 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An equivalent nonlinearization method for strongly nonlinear oscillations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
An equivalent nonlinearization method is proposed for the study of certain kinds of strongly nonlinear oscillators. This method is to express the nonlinear restored force of an oscillatory system by a polynomial of degree two or three such that the asymptotic solutions can be derived in terms of elliptic functions. The least squares method is used to determine the coefficients of approximate polynomials. The advantage of present method is that it is valid for relatively large oscillations. As an application, a strongly nonlinear oscillator with slowly varying parameters resulted from free-electron laser is studied in detail. Comparisons are made with other methods to assess the accuracy of the present method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mechanics Research Communications - Volume 32, Issue 5, SeptemberâOctober 2005, Pages 553-560
Journal: Mechanics Research Communications - Volume 32, Issue 5, SeptemberâOctober 2005, Pages 553-560
نویسندگان
Jianping Cai, Xiaofeng Wu, Y.P. Li,