期刊
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
卷 20, 期 1, 页码 28-37出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/15376494.2011.581412
关键词
dynamic stability; free vibration; buckling; functionally graded materials; nanocomposites; Timoshenko beam theory
类别
资金
- National Natural Science Foundation of China [11002019]
- Ph.D. Programs Foundation of China's Ministry of Education [20100009120018]
This article presents a dynamic stability analysis of functionally graded nanocomposite beams reinforced by single-walled carbon nanotubes (SWCNTs) based on Timoshenko beam theory. The material properties of functionally graded carbon nanotube-reinforced composites (FG-CNTRCs) are assumed to vary in the thickness direction and are estimated through the rule of mixture. The differential quadrature 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 elastic buckling are also discussed as subset problems. A parametric study is conducted to investigate the influences of nanotube volume fraction, slenderness ratio, and end supports on the dynamic stability characteristics of FG-CNTRC beams. Numerical results for composite beams reinforced by uniformly distributed carbon nanotube are also provided for comparison.
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