Journal
COMPOSITE STRUCTURES
Volume 93, Issue 2, Pages 342-350Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2010.09.008
Keywords
Functionally graded materials; Dynamic stability; Couple stress theory; Size effect; Microbeams
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Funding
- National Natural Science Foundation of China [11002019]
- Fundamental Research Funds for the Central Universities [2009JBM073]
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Dynamic stability of microbeams made of functionally graded materials (FGMs) is investigated in this paper based on the modified couple stress theory and Timoshenko beam theory This non-classical Timoshenko beam model contains a material length scale parameter and can interpret the size effect The material properties of FGM microbeams are assumed to vary in the thickness direction and are estimated though Mori-Tanaka homogenization technique The higher-order governing equations and boundary conditions are derived by using the Hamilton s principle The differential quadrature (DQ) method is employed to convert the governing differential equations Into a linear system of Mathieu-Hill equations from which the boundary points on the unstable regions are determined by Bolotin s method Free vibration and static buckling are also discussed as subset problems A parametric study is conducted to investigate the influences of the length scale parameter gradient Index and length-to-thickness ratio on the dynamic stability characteristics of FGM microbeams with hinged-hinged and clamped-clamped end supports Results show that the size effect on the dynamic stability characteristics is significant only when the thickness of beam has a similar value to the material length scale parameter (C) 2010 Elsevier Ltd All rights reserved
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