 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| Jinhua Yang, Gaofeng Sun, and Guo Fu, "Bifurcation and chaos of functionally graded carbon nanotube reinforced composite cylindrical shell with piezoelectric layer," Mech. Solids. 56 (5), 856-872 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
5 |
Pages |
856-872 |
| DOI |
10.3103/S0025654421050186 |
| Title |
Bifurcation and chaos of functionally graded carbon nanotube reinforced composite cylindrical shell with piezoelectric layer |
| Author(s) |
Jinhua Yang (School of Civil Engineering, Changsha University of Science & Technology, Changsha 410114, China, yangjinhua.cs@yahoo.com)
Gaofeng Sun (School of Civil Engineering, Changsha University of Science & Technology, Changsha 410114, China)
Guo Fu (School of Civil Engineering, Changsha University of Science & Technology, Changsha 410114, China, 30224214@qq.com) |
| Abstract |
This paper investigates bifurcation and chaos of functionally graded carbon nanotube-reinforced composites (FG-CNTRCs) cylindrical shells containing piezoelectric layer (PL) under combined electro-thermo-mechanical loads. We assumed that FG-CNTRC material properties were graded along thickness direction and determined them using mixtures’ law. Governing equations of structures were derived according to the theory of von Kármán nonlinear shell and PL with thermal effects. Next, the governing equations were transformed into second order nonlinear ordinary differential equations (SNODE) with cubic terms through Galerkin procedure and further into first order nonlinear ordinary differential equations (FNODE) through introducing additional state variables. Complex system dynamic behavior was qualitatively examined using fourth order Runge-Kutta method. The effects of different factors including applied voltage, volume fraction, temperature change, and distribution of carbon nanotubes (CNTs) on bifurcation and chaos of FG-CNTRC shells with PL were comprehensively studied. |
| Keywords |
FG-CNTRC shell, bifurcation and Chaos, Piezoelectric, Runge-Kutta method, Galerkin procedure |
| Received |
13 December 2020 | Revised |
16 February 2021 | Accepted |
17 March 2021 |
| Link to Fulltext |
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