Journal
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
Volume 23, Issue 11, Pages 1284-1289Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/15376494.2015.1068404
Keywords
carbon nanotube-reinforced composite (CNTRC) plates; nonlinear dynamic stability; elastic foundation; two-step perturbation technique; incremental harmonic balanced method
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Funding
- National Natural Science Foundation of China [11272117]
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This article studies nonlinear dynamic stability of carbon nanotube-reinforced composite (CNTRC) plates resting on an elastic foundation. The single-walled carbon nanotubes (SWCNTs) are aligned and distributed in the form of uniformly distributed (UD) and functionally graded (FG) reinforcements. The governing equations are established based on classic plate theory, which is converted to a Mathieu-type equation by using a two-step perturbation technique, and then solved by adopting an incremental harmonic balanced (IHB) method. In numerical results, the effects of nonlinear geometric factor, distribution and fraction volume of CNTs, and foundation stiffness on principle dynamic unstable regions are discussed.
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