Vibrational frequency distribution for nonconservative model of double-walled carbon nanotube
The paper presents the mathematical results for a double-walled carbon nanotube model with nonconservative boundary conditions, given in the form of two Timoshenko beams coupled through a distributed Van Der Waals force. The system is clamped at the left end and subject to a four-parameter family of...
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| Published in | Applied mathematics and computation Vol. 217; no. 3; pp. 1246 - 1252 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Amsterdam
Elsevier Inc
01.10.2010
Elsevier |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0096-3003 1873-5649 |
| DOI | 10.1016/j.amc.2010.04.017 |
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| Abstract | The paper presents the mathematical results for a double-walled carbon nanotube model with nonconservative boundary conditions, given in the form of two Timoshenko beams coupled through a distributed Van Der Waals force. The system is clamped at the left end and subject to a four-parameter family of dynamical boundary conditions at the right end. We also present the four-branch vibrational spectrum of the system. All the results are purely analytical; they will be complemented by numerical simulations in a forthcoming work. |
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| AbstractList | The paper presents the mathematical results for a double-walled carbon nanotube model with nonconservative boundary conditions, given in the form of two Timoshenko beams coupled through a distributed Van Der Waals force. The system is clamped at the left end and subject to a four-parameter family of dynamical boundary conditions at the right end. We also present the four-branch vibrational spectrum of the system. All the results are purely analytical; they will be complemented by numerical simulations in a forthcoming work. |
| Author | Rojas-Arenaza, Miriam Shubov, Marianna A. |
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| Cites_doi | 10.1103/PhysRevLett.91.145504 10.3233/ASY-2010-0991 10.1063/1.1898445 10.1063/1.2141648 10.57262/die/1369056045 10.1103/PhysRevB.65.235402 10.1088/2058-7058/13/6/25 10.1002/mma.1001 10.1115/1.1490129 10.1002/1522-2616(200207)241:1<125::AID-MANA125>3.0.CO;2-3 10.1016/j.jsv.2006.01.005 10.1063/1.372973 10.1016/j.cam.2009.08.009 10.1016/S0038-1098(98)00626-7 10.1016/S0038-1098(01)00383-0 10.1016/S0266-3538(03)00058-7 10.1063/1.1347956 10.1016/j.jmps.2003.08.004 10.1016/j.compositesb.2003.09.002 10.1103/PhysRevLett.76.2511 10.1063/1.2179970 10.1016/j.compscitech.2006.03.031 10.1115/1.1778415 |
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| Keywords | Carbon nanotube Eigenvalue asymptotic representation Matrix differential operator Timoshenko beam model Transcendental equation Eigenvector Numerical linear algebra Eigenvalue Boundary condition Non linear equation Numerical analysis Applied mathematics Algebraic equation Distribution function Numerical simulation Differential operator |
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| SubjectTerms | Boundary conditions Carbon nanotube Carbon nanotubes Dynamical systems Dynamics Eigenvalue asymptotic representation Exact sciences and technology Frequency distribution Mathematical analysis Mathematical models Mathematics Matrix differential operator Nonlinear algebraic and transcendental equations Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Operator theory Ordinary differential equations Sciences and techniques of general use Timoshenko beam model Van der Waals forces |
| Title | Vibrational frequency distribution for nonconservative model of double-walled carbon nanotube |
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