کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1705833 1012442 2012 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Free vibration and stability of tapered Euler–Bernoulli beams made of axially functionally graded materials
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Free vibration and stability of tapered Euler–Bernoulli beams made of axially functionally graded materials
چکیده انگلیسی

The free vibration and stability of axially functionally graded tapered Euler–Bernoulli beams are studied through solving the governing differential equations of motion. Observing the fact that the conventional differential transform method (DTM) does not necessarily converge to satisfactory results, a new approach based on DTM called differential transform element method (DTEM) is introduced which considerably improves the convergence rate of the method. In addition to DTEM, differential quadrature element method of lowest-order (DQEL) is used to solve the governing differential equation, as well. Carrying out several numerical examples, the competency of DQEL and DTEM in determination of free longitudinal and free transverse frequencies and critical buckling load of tapered Euler–Bernoulli beams made of axially functionally graded materials is verified.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 36, Issue 7, July 2012, Pages 3094–3111
نویسندگان
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