Vibration analysis of twisted Timoshenko beams with internal Kelvin-Voigt damping

被引:4
作者
Chen, W. R. [1 ]
Hsin, S. W. [1 ]
Chu, T. H. [1 ]
机构
[1] Chinese Culture Univ, Dept Mech Engn, Taipei 11114, Taiwan
来源
7TH ASIAN-PACIFIC CONFERENCE ON AEROSPACE TECHNOLOGY AND SCIENCE, APCATS 2013 | 2013年 / 67卷
关键词
vibration; twisted beam; damping; Hamilton's principle; twist angle; FINITE-ELEMENT; DAMPED BEAMS; STABILITY;
D O I
10.1016/j.proeng.2013.12.053
中图分类号
V [航空、航天];
学科分类号
08 ; 0825 ;
摘要
Bending-bending vibration equations of a twisted beam with damping of Kelvin-Voigt type are established using the Timoshenko beam theory and applying Hamilton's principle. The equations of motion of the twisted beam are derived in the twist coordinate frame. Then, a finite element method is used to reduce the partial differential equations of motion into linear second-order ordinary differential equations. A quadratic eigenvalue problem of a damped system is formulated to study the effects of the twist angle, internal damping and restraint types on the eigenfrequencies of the damped twisted beams. (C) 2013 The Authors. Published by Elsevier Ltd.
引用
收藏
页码:525 / 532
页数:8
相关论文
共 19 条
[1]  
Bai Z., 2000, Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide. Ed. by, DOI DOI 10.1137/1.9780898719581
[2]   Development of an exact dynamic stiffness matrix for free vibration analysis of a twisted Timoshenko beam [J].
Banerjee, JR .
JOURNAL OF SOUND AND VIBRATION, 2004, 270 (1-2) :379-401
[3]   On the eigenvalues of a viscously damped simple beam carrying point masses and springs [J].
Chang, TP ;
Chang, FI ;
Liu, MF .
JOURNAL OF SOUND AND VIBRATION, 2001, 240 (04) :769-778
[4]   Bending vibration of axially loaded Timoshenko beams with locally distributed Kelvin-Voigt damping [J].
Chen, Wei-Ren .
JOURNAL OF SOUND AND VIBRATION, 2011, 330 (13) :3040-3056
[5]   On the vibration and stability of spinning axially loaded pre-twisted Timoshenko beams [J].
Chen, Wei-Ren .
FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2010, 46 (11) :1037-1047
[6]   Parametric studies on buckling loads and critical speeds of microdrill bits [J].
Chen, Wel-Ren .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2007, 49 (08) :935-949
[7]   The modes of non-homogeneous damped beams [J].
Friswell, MI ;
Lees, AW .
JOURNAL OF SOUND AND VIBRATION, 2001, 242 (02) :355-361
[8]   On the eigencharacteristics of multi-step beams carrying a tip mass subjected to non-homogeneous external viscous damping [J].
Gürgöze, M ;
Erol, H .
JOURNAL OF SOUND AND VIBRATION, 2004, 272 (3-5) :1113-1124
[9]   Free transverse vibration of an axially loaded non-uniform spinning twisted Timoshenko beam using differential transform [J].
Ho, Shing Huei ;
Chen, Cha'o Kuang .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2006, 48 (11) :1323-1331
[10]   SIMPLE AND EFFICIENT FINITE-ELEMENT FOR PLATE BENDING [J].
HUGHES, TJR ;
TAYLOR, RL ;
KANOKNUKULCHAI, W .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1977, 11 (10) :1529-1543