Analysis of nonlinear vibration for embedded carbon nanotubes

被引：200

作者：

Fu, Y. M. ^{[1
]}

Hong, J. W. ^{[1
]}

Wang, X. Q. ^{[1
]}

机构：

[1] Hunan Univ, Dept Engn Mech, Changsha, Hunan, Peoples R China

来源：

JOURNAL OF SOUND AND VIBRATION | 2006年 / 296卷 / 4-5期

关键词：

D O I：

10.1016/j.jsv.2006.02.024

中图分类号：

O42 [声学];

学科分类号：

070206 [声学]; 082403 [水声工程];

摘要：

Based on the continuum mechanics and a multiple-elastic beam model, the nonlinear free vibration of embedded multi-wall carbon nanotubes considering intertube radial displacement and the related internal degrees of freedom is investigated. By using the incremental harmonic balanced method, the iterative relationship of nonlinear amplitude and frequency for the single-wall nanotube and double-wall nanotube are expressed. In the numerical calculation, the amplitude frequency response curves of the nonlinear free vibration for the single-wall and double-wall nanotubes are obtained. The effects of the surrounding elastic medium, van der Waals forces and aspect ratio of the multi-wall nanotubes on the amplitude frequency response characteristics are discussed. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：746 / 756

页数：11

共 16 条

[1]

[Anonymous], 1984, P 7 C COMP MAT TEST

[2]

HELICAL MICROTUBULES OF GRAPHITIC CARBON [J].

IIJIMA, S .

NATURE, 1991, 354 (6348) :56-58

[3]

IILIMA S, 1996, J CHEM PHYS, V104, P2089

[4]

LAN SL, 1981, J APPL MECH, V48, P959

[5]

FIBER COMPOSITE COLUMNS UNDER COMPRESSION [J].

LANIR, Y ;

FUNG, YCB .

JOURNAL OF COMPOSITE MATERIALS, 1972, 6 (JUL) :387-&

[6]

Buckling and collapse of embedded carbon nanotubes [J].

Lourie, O ;

Cox, DM ;

Wagner, HD .

PHYSICAL REVIEW LETTERS, 1998, 81 (08) :1638-1641

[7]

Stiffness of single-walled carbon nanotubes under large strain [J].

Ozaki, T ;

Iwasa, Y ;

Mitani, T .

PHYSICAL REVIEW LETTERS, 2000, 84 (08) :1712-1715

[8]

Nonlinear structural mechanics based modeling of carbon nanotube deformation [J].

Pantano, A ;

Boyce, MC ;

Parks, DM .

PHYSICAL REVIEW LETTERS, 2003, 91 (14)

[9]

Column buckling of multiwalled carbon nanotubes with interlayer radial displacements [J].

Ru, CQ .

PHYSICAL REVIEW B, 2000, 62 (24) :16962-16967

[10]

RU CQ, 2000, PHYS REV B, V62, P15

← 1 2 →