کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
289342 509675 2008 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Harmonic balance approaches to the nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی عمران و سازه
پیش نمایش صفحه اول مقاله
Harmonic balance approaches to the nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable
چکیده انگلیسی

The second-order harmonic balance method is used to construct three approximate frequency–amplitude relations for a conservative nonlinear singular oscillator in which the restoring force is inversely proportional to the dependent variable. Two procedures are used to solve the nonlinear differential equation approximately. In the first the differential equation is rewritten in a form that does not contain the y−1 expression, while in the second the differential equation is solved directly. The approximate frequency obtained using the second procedure is more accurate than the frequency obtained with the first one and the discrepancy between the approximate frequency and the exact one is lower than 1.28%.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Sound and Vibration - Volume 314, Issues 3–5, 22 July 2008, Pages 775–782
نویسندگان
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