Forced vibration analysis of functionally graded beams using nonlocal elasticity

被引:98
作者
Uymaz, B. [1 ]
机构
[1] Namik Kemal Univ, Dept Mech Engn, Corlu, Tekirdag, Turkey
关键词
Nonlocal elasticity; Functionally graded nanobeam; Forced vibration; Mode shape; WALLED CARBON NANOTUBES; DIFFERENTIAL TRANSFORM METHOD; CONTINUUM-MECHANICS; BUCKLING ANALYSIS; SHEAR DEFORMATION; AXIAL VIBRATION; WAVE CHARACTERISTICS; NANOBEAMS; NANORODS; PROPAGATION;
D O I
10.1016/j.compstruct.2013.05.006
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A forced vibration analysis of functionally graded (FG) nanobeams is considered based on the nonlocal elasticity theory. The solution is obtained by using Navier method for various shear deformation theories. The material properties of the FG nanobeam vary through the thickness direction according to a simple power law. Effects of the nonlocal parameter, different material composition and length-to-thickness ratio of considered element on the vibration and the effect of frequency ratio and different dynamic loading conditions on dimensionless maximum deflection and mode shapes of FG nanobeam are investigated. As a result the dynamic behavior of the FG nanobeam is influenced by the nonlocal effects. The dynamic deflections obtained by the classical (local) theory are smaller than obtained by the nonlocal theory due to the nonlocal effects. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:227 / 239
页数:13
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