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   Size-Dependent Buckling Analysis of Non-Prismatic Timoshenko Nanobeams Made of Fgms Rested on Winkler Foundation  
   
نویسنده Soltani M. ,Gholamizadeh A.
منبع Numerical Methods In Civil Engineering - 2018 - دوره : 3 - شماره : 2 - صفحه:35 -46
چکیده    In this article, the buckling behavior of tapered timoshenko nanobeams made of axially functionally graded (afg) materials resting on winkler type elastic foundation is perused. it is supposed that material properties of the afg nanobeam vary continuously along the beam’s length according to the power-law distribution. the nonlocal elasticity theory of eringen is employed to contemplate the small size effects. based on the first-order shear deformation theory, the system of nonlocal equilibrium equations in terms of vertical and rotation displacements are derived using the principle of total potential energy. to acquire the nonlocal buckling loads, the differential quadrature method is used in the solution of the resulting coupled differential equations. eventually, an exhaustive numerical example is carried out for simply supported end conditions to investigate the influences of significant parameters such as power-law index, tapering ratio, winkler parameter, aspect ratio, and nonlocal parameter on the buckling capacity of afg timoshenko nanobeams with varying cross-section supported by uniform elastic foundation.
کلیدواژه Stability Analysis; First-Order Shear Deformation Theory; Nonlocal Parameter; Functionally Graded Materials; Elastic Foundation
آدرس University Of Kashan, Department Of Civil Engineering, Iran, Islamic Azad University, Shahr-E-Qods Branch, Faculty Of Engineering, Department Of Civil Engineering, Iran
 
     
   
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