کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7213753 1469433 2013 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Surface and nonlocal effects on the nonlinear free vibration of non-uniform nanobeams
ترجمه فارسی عنوان
اثرات سطحی و غیر موضعی بر روی ارتعاش آزاد غیرخطی نانوبلهای غیر یکنواخت
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی
The surface and nonlocal effects on the nonlinear flexural free vibrations of elastically supported non-uniform cross section nanobeams are studied simultaneously. The formulations are derived based on both Euler-Bernoulli beam theory (EBT) and Timoshenko beam theory (TBT) independently using Hamilton's principle in conjunction with Eringen's nonlocal elasticity theory. Green's strain tensor together with von Kármán assumptions are employed to model the geometrical nonlinearity. The differential quadrature method (DQM) as an efficient and accurate numerical tool in conjunction with a direct iterative method is adopted to obtain the nonlinear vibration frequencies of nanobeams subjected to different boundary conditions. After demonstrating the fast rate of convergence of the method, it is shown that the results are in excellent agreement with the previous studies in the limit cases. The influences of surface free energy, nonlocal parameter, length of non-uniform nanobeams, variation of nanobeam width and elastic medium parameters on the nonlinear free vibrations are investigated.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Composites Part B: Engineering - Volume 52, September 2013, Pages 84-92
نویسندگان
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