A stress-driven local-nonlocal mixture model for Timoshenko nano-beams
نویسندگان
چکیده
منابع مشابه
Axial and Torsional Free Vibrations of Elastic Nano-Beams by Stress-Driven Two-Phase Elasticity
Size-dependent longitudinal and torsional vibrations of nano-beams are examined by two-phase mixture integral elasticity. A new and efficient elastodynamic model is conceived by convexly combining the local phase with strain- and stress-driven purely nonlocal phases. The proposed stress-driven nonlocal integral mixture leads to well-posed structural problems for any value of the scale parameter...
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in this paper, eringen’s nonlocal elasticity and timoshenko beam theories are implemented to analyze the bending vibration for non-uniform nano-beams. the governing equations and the boundary conditions are derived using hamilton’s principle. a generalized differential quadrature method (gdqm) is utilized for solving the governing equations of non-uniform timoshenko nano-beam for pinned-pinned...
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1 Abstract A class of nite element methods, the Galerkin Generalized Least Squares methods, are developed and applied to model the steady{state response of Timoshenko beams. An optimal method is designed using a linear interpolation of the response such that there is zero nite element dispersion error. The classical method of selective reduced integration and a modiied version of selective redu...
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ژورنال
عنوان ژورنال: Composites Part B: Engineering
سال: 2019
ISSN: 1359-8368
DOI: 10.1016/j.compositesb.2019.01.012