Dynamic stability of functionally graded carbon nanotube-reinforced composite beams

Liao-Liang Ke; Jie Yang; Sritawat Kitipornchai

doi:10.1080/15376494.2011.581412

Dynamic stability of functionally graded carbon nanotube-reinforced composite beams

Liao-Liang Ke
, Jie Yang
, Sritawat Kitipornchai

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

180 Citations (Scopus)

Abstract

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. Copyright © Taylor &Francis Group, LLC.

Original language	English
Pages (from-to)	28-37
Journal	Mechanics of Advanced Materials and Structures
Volume	20
Issue number	1
DOIs	https://doi.org/10.1080/15376494.2011.581412
Publication status	Published - 2013

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Funding

The first author is grateful for the financial support by the National Natural Science Foundation of China (No. 11002019) and the Ph.D. Programs Foundation of China’s Ministry of Education (No. 20100009120018).

Research Keywords

Buckling
Dynamic stability
Free vibration
Functionally graded materials
Nanocomposites
Timoshenko beam theory

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abstract = "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. Copyright {\textcopyright} Taylor \&Francis Group, LLC.",

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N2 - 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. Copyright © Taylor &Francis Group, LLC.

AB - 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. Copyright © Taylor &Francis Group, LLC.

KW - Buckling

KW - Dynamic stability

KW - Free vibration

KW - Functionally graded materials

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Dynamic stability of functionally graded carbon nanotube-reinforced composite beams

Abstract

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Research Keywords

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