Free vibration of an extensible rotating inclined Timoshenko beam

被引：32
|
作者：
Lee, Sen Yung [1 ]
Sheu, Jer Jia
机构：
[1] Natl Cheng Kung Univ, Dept Mech Engn, Tainan 701, Taiwan
[2] So Taiwan Univ Technol, Dept Mech Engn, Tainan 710, Taiwan
来源：
JOURNAL OF SOUND AND VIBRATION | 2007年 / 304卷 / 3-5期
关键词：
D O I：
10.1016/j.jsv.2007.03.005
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
An exact power-series solution for free vibration of a rotating inclined Timoshenko beam is developed. It is shown that both the extensional deformation and the Coriolis force will have significant influence on the natural frequencies of the rotating beam when the dimensionless rotating extension parameter is large. Without numerical analysis, several general qualitative relations among the inclination angle, the hub radius and the natural frequencies of the beam are revealed. In addition, the influence of extensional deformation in the centrifugal stiffening force term on the natural frequencies evaluated by the Timoshenko and the Euler beam theories is also studied and compared. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：606 / 624
页数：19
相关论文
共 50 条
  • [1] Vibration of a rotating Timoshenko beam
    White, MWD
    Heppler, GR
    [J]. JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 1996, 118 (04): : 606 - 613
  • [2] Vibration analysis of a rotating Timoshenko beam
    Lin, SC
    Hsiao, KM
    [J]. JOURNAL OF SOUND AND VIBRATION, 2001, 240 (02) : 303 - 322
  • [3] Free vibration analysis of a rotating Timoshenko beam by differential transform method
    Kaya, Metin O.
    [J]. AIRCRAFT ENGINEERING AND AEROSPACE TECHNOLOGY, 2006, 78 (03): : 194 - 203
  • [4] Free Vibration of a Functionally Graded Rotating Timoshenko Beam Using FEM
    Mohanty, S. C.
    Dash, R. R.
    Rout, T.
    [J]. ADVANCES IN STRUCTURAL ENGINEERING, 2013, 16 (02) : 405 - 418
  • [5] Flexural vibration of rotating cracked Timoshenko beam
    Al-Said, Samer Masoud
    Naji, Malak
    Al-Shukry, Adnan A.
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2006, 12 (11) : 1271 - 1287
  • [6] VIBRATION OF A ROTATING SHAFT BY TIMOSHENKO BEAM THEORY
    PORAT, I
    NIV, M
    [J]. ISRAEL JOURNAL OF TECHNOLOGY, 1971, 9 (05): : 535 - &
  • [7] Instability and vibration of a rotating Timoshenko beam with precone
    Lee, Sen-Yung
    Lin, Shueei-Muh
    Lin, Yu-Sheng
    [J]. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2009, 51 (02) : 114 - 121
  • [8] Investigation on steady state deformation and free vibration of a rotating inclined Euler beam
    Tsai, Ming Hsu
    Lin, Wen Yi
    Zhou, Yu Chun
    Hsiao, Kuo Mo
    [J]. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2011, 53 (12) : 1050 - 1068
  • [9] Free vibrations of a rotating inclined beam
    Lee, Sen Yung
    Sheu, Jer Jia
    [J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2007, 74 (03): : 406 - 414
  • [10] The effect of rotating speed on the flexural vibration of a Timoshenko beam
    Oguamanam, DCD
    Heppler, GR
    [J]. 1996 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION, PROCEEDINGS, VOLS 1-4, 1996, : 2438 - 2443
12345