Longitudinal vibration analysis of strain gradient bars made of functionally graded materials (FGM)

被引:144
作者
Akgoz, Bekir [1 ]
Civalek, Omer [1 ]
机构
[1] Akdeniz Univ, Dept Civil Engn, Div Mech, TR-07058 Antalya, Turkey
关键词
Microstructures; Vibration; Directional orientation; Analytical modelling; COUPLE STRESS THEORY; SHEAR DEFORMATION-THEORY; RADIAL BASIS FUNCTIONS; DOUBLE-NANOPLATE-SYSTEMS; SEMI-INVERSE METHOD; ELASTICITY THEORY; DYNAMIC-ANALYSIS; SANDWICH PLATES; NONLOCAL ELASTICITY; BUCKLING ANALYSIS;
D O I
10.1016/j.compositesb.2013.06.035
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Longitudinal free vibration analysis of axially functionally graded microbars is investigated on the basis of strain gradient elasticity theory. Functionally graded materials can be defined as nonhomogeneous composites which are obtained by combining of two different materials in order to obtain a new desired material. In this study, material properties of microbars are assumed to be smoothly varied along the axial direction. Rayleigh-Ritz solution technique is utilized to obtain an approximate solution to the free longitudinal vibration problem of strain gradient microbars for clamped-clamped and clamped-free boundary conditions. A parametric study is carried out to show the influences of additional material length scale parameters, material ratio, slenderness ratio and ratio of Young's modulus on natural frequencies of axially functionally graded microbars. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:263 / 268
页数:6
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