کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8051637 1519374 2018 35 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlinear vibration analysis of axially functionally graded shear-deformable tapered beams
ترجمه فارسی عنوان
تجزیه و ارتعاش غیر خطی از پرتوهای مخروطی برشی - تغییر شکل پذیر درجه محوری
کلمات کلیدی
مواد درجه بندی شده عملکردی، پرتو کج تئوری تغییر شکل پذیری برشی،
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
چکیده انگلیسی
This paper aims at investigating the nonlinear vibration characteristics of axially functionally graded (AFG) shear deformable tapered beams subjected to external harmonic excitations. A coupled nonlinear longitudinal-transverse-rotational set of equations governing the motion of the AFG system is derived utilising the third-order shear deformation beam theory via Hamilton's energy principle. The beam under consideration is tapered; i.e. the width of the beam varies along the length. The tapered geometry along with the nonuniform material properties arising from the AFG nature of the beam increases the complexity in the modelling and numerical simulations. The expressions for the kinetic and potential energies of the AFG shear-deformable tapered beam together with the expressions for the work of damping and external excitation are derived and implemented in Hamilton's principle. The nonlinear partial differential equations are discretised making use of the Galerkin technique and solved with the aid of a continuation scheme. The effect of different parameters such as the gradient index and the tapered ratios on the force- and frequency-amplitude diagrams of the AFG system is examined.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 59, July 2018, Pages 583-596
نویسندگان
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