Spectral element modeling for extended Timoshenko beams

被引:11
作者
Lee, Usik [1 ]
Lee, Changho [1 ]
机构
[1] Inha Univ, Dept Mech Engn, Inchon 402751, South Korea
关键词
DYNAMIC STIFFNESS MATRIX; NATURAL FREQUENCIES; CARBON NANOTUBES; FINITE-ELEMENT; MEMBERS;
D O I
10.1016/j.jsv.2008.06.048
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
Periodic lattice structures such as the large space lattice structures and carbon nanotubes may take the extension-transverse shear-bending Coupled vibrations, which can be well represented by the extended Timoshenko beam theory. In this paper, the spectrally formulated finite element model (simply, spectral element model) has been developed for extended Timoshenko beams and applied to some typical periodic lattice structures Such as the armchair carbon nanotube, the periodic plane truss, and the periodic space lattice beam. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:993 / 1002
页数:10
相关论文
共 19 条
[1]   EXACT BERNOULLI-EULER DYNAMIC STIFFNESS MATRIX FOR A RANGE OF TAPERED BEAMS [J].
BANERJEE, JR ;
WILLIAMS, FW .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1985, 21 (12) :2289-2302
[2]   Dynamic stiffness formulation for structural elements: A general approach [J].
Banerjee, JR .
COMPUTERS & STRUCTURES, 1997, 63 (01) :101-103
[3]   AN EXACT DYNAMIC STIFFNESS MATRIX FOR COUPLED EXTENSIONAL TORSIONAL VIBRATION OF STRUCTURAL MEMBERS [J].
BANERJEE, JR ;
WILLIAMS, FW .
COMPUTERS & STRUCTURES, 1994, 50 (02) :161-166
[4]   A spectrally formulated finite element for wave propagation analysis in functionally graded beams [J].
Chakraborty, A ;
Gopalakrishnan, S .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2003, 40 (10) :2421-2448
[5]  
DOYLE JF, 1997, PROPAGATION STRUCTUR
[6]   PHYSICS OF CARBON NANOTUBES [J].
DRESSELHAUS, MS ;
DRESSELHAUS, G ;
SAITO, R .
CARBON, 1995, 33 (07) :883-891
[7]   DYNAMIC STIFFNESS ANALYSIS OF LAMINATED BEAMS USING A FIRST-ORDER SHEAR DEFORMATION-THEORY [J].
EISENBERGER, M ;
ABRAMOVICH, H ;
SHULEPOV, O .
COMPOSITE STRUCTURES, 1995, 31 (04) :265-271
[9]   NATURAL FREQUENCIES OF FRAMES WITH AXIALLY LOADED TIMOSHENKO MEMBERS [J].
HOWSON, WP ;
WILLIAMS, FW .
JOURNAL OF SOUND AND VIBRATION, 1973, 26 (04) :503-515