کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
830467 1470355 2012 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Free vibration analysis for single-layered graphene sheets in an elastic matrix via modified couple stress theory
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Free vibration analysis for single-layered graphene sheets in an elastic matrix via modified couple stress theory
چکیده انگلیسی

Free vibration of single-layered graphene sheet (SLGS) resting on an elastic matrix as Pasternak foundation model is investigated by using the modified couple stress theory. Governing equation of motion for SLGS is obtained via thin plate theory in conjunction with Hamilton’s principle. All edges simply supported boundary condition is considered. Analytical solution of the resulting equation is obtained via Fourier series approach. Effects of the material length scale parameter and elastic matrix parameters on vibration frequencies of SLGS are investigated. The influence of the mode numbers on frequencies for two-different matrix parameters and aspect ratio of graphene sheet are also studied. Numerical results reveal that the frequency values increase significantly with the increase of the material length scale parameter. It has been shown that scale effects are quite significant on frequencies especially when length and width of the SLGS is smaller and in higher modes of vibration and need to be included in the mechanical modeling of SLGS.


► We model frequency behavior of graphene sheets (GSs) in an elastic matrix.
► Size effect is considered via modified couple stress theory.
► The effect of additional material length scale parameter is investigated.
► The effects of coefficients for matrix surrounded by (GSs) is also analyzed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Materials & Design - Volume 42, December 2012, Pages 164–171
نویسندگان
, ,