کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7170139 | 1463176 | 2018 | 33 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Nonlinear vibration of FG beams subjected to parametric and external excitations
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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
In this paper, the principal resonance and parametric vibration of functionally graded (FG) beams are investigated. The theoretical formulations and governing partial deferential equations of motion are derived based on the Hamilton's principle, Euler-Bernoulli beam theory, and von Kármán geometric nonlinearity. The Galerkin technique and the static condensation method are employed in order to convert the nonlinear partial differential equations into a set of nonlinear ordinary differential equations. The nonlinear frequency-response of FG beams is investigated using the method of multiple scales. The magnitude and frequency of parametric excitations are analyzed by numerical integration results. The effects of different parameters on the nonlinear response are also investigated. Moreover, the period-2 and chaotic motions of FG beams are found by numerical simulation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Mechanics - A/Solids - Volume 71, SeptemberâOctober 2018, Pages 224-234
Journal: European Journal of Mechanics - A/Solids - Volume 71, SeptemberâOctober 2018, Pages 224-234
نویسندگان
G.G. Sheng, X. Wang,