Study on Non-Linear Bending Analysis of Functionally Graded (FG) Cantilever Euler-Bernoulli Beam Subjected to Static Loading Using Generalized Differential Quadrature (GDQ) Method
Publish place: The Second National Conference on Applied Research in Electrical, Mechanical and Mechatronics
Publish Year: 1393
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
ELEMECHCONF02_033
تاریخ نمایه سازی: 22 مهر 1394
Abstract:
Non-linear bending analysis of functionally graded (FG) cantilever Euler-Bernoulli beam subjected to static loading has been investigated by using generalized differential quadrature (GDQ) method. The non-linear formulations are based on first-order shear deformation theory (FSDT) and the large deflection Von-Kármán type non-linearity. Equilibrium equations are obtained by using the principle of minimum total potential energy. Furthermore, the applicability of GDQ technique to the deflection, displacement, and stress along the middle plane of the beam due to a point load is also demonstrated. Numerical results are plotted to illustrate the effects of volume fraction index, boundary conditions, mechanical properties as well as non-dimensionalized parameters on the beam.
Keywords:
Functionally Graded Material (FGM) , Von-Kármán Theory , Generalized Differential Quadrature (GDQ) , Deformation , Beam , Deflection
Authors
Emran Khoshrouye Ghiasi
Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran