In-plane free vibration analysis of curved Timoshenko beams by the pseudospectral method

被引：24
|
作者：
Lee, J [1 ]
机构：
[1] Hongik Univ, Dept Mechanoinformat, Chungnam 339701, South Korea
来源：
KSME INTERNATIONAL JOURNAL | 2003年 / 17卷 / 08期
关键词：
eigenvalue analysis; curved Timoshenko beam; in-plane mode; pseudospectral method;
D O I：
10.1007/BF03016510
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The pseudospectral method is applied to the analysis of in-plane free vibration of circularly curved Timoshenko beams. The analysis is based on the Chebyshev polynomials and the basis functions are chosen to satisfy the boundary conditions. Natural frequencies are calculated for curved beams of rectangular and circular cross sections under hinged-hinged, clamped-clamped and hinged-clamped end conditions and the results are compared with those by transfer matrix method. The present method gives good accuracy with only a limited number of collocation points.
引用
收藏
页码：1156 / 1163
页数：8
相关论文
共 50 条
  • [1] In-plane free vibration analysis of curved Timoshenko beams by the pseudospectral method
    Jinhee Lee
    [J]. KSME International Journal, 2003, 17 : 1156 - 1163
  • [2] Isogeometric method based in-plane and out-of-plane free vibration analysis for Timoshenko curved beams
    Liu, Hongliang
    Zhu, Xuefeng
    Yang, Dixiong
    [J]. STRUCTURAL ENGINEERING AND MECHANICS, 2016, 59 (03) : 503 - 526
  • [3] Free vibration analysis of circularly curved multi-span Timoshenko beams by the pseudospectral method
    Lee, Jinhee
    [J]. JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2007, 21 (12) : 2066 - 2072
  • [4] Free vibration analysis of circularly curved multi-span Timoshenko beams by the pseudospectral method
    Jinhee Lee
    [J]. Journal of Mechanical Science and Technology, 2007, 21 : 2066 - 2072
  • [5] Experimental and Computational Analysis of Free In-Plane Vibration of Curved Beams
    Mohanty, Nupur
    Sasmal, Suvendu Kumar
    Mishra, Uttam Kumar
    Sahu, Shishir Kumar
    [J]. JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES, 2023, 11 (04) : 1777 - 1796
  • [6] Experimental and Computational Analysis of Free In-Plane Vibration of Curved Beams
    Nupur Mohanty
    Suvendu Kumar Sasmal
    Uttam Kumar Mishra
    Shishir Kumar Sahu
    [J]. Journal of Vibration Engineering & Technologies, 2023, 11 : 1777 - 1796
  • [7] Free in-plane vibration analysis of curved beams by the generalized/extended finite element method
    Correa, Ramon Macedo
    Arndt, Marcos
    Machado, Roberto Dalledone
    [J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2021, 88
  • [8] In-plane free vibration of curved beams using finite element method
    Yang, F.
    Sedaghati, R.
    Esmailzadeh, E.
    [J]. PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCE AND INFORMATION IN ENGINEERING CONFERENCE, VOL 1, PTS A-C, 2008, : 2157 - 2163
  • [9] In-Plane Vibration Analysis of Rotating Tapered Timoshenko Beams
    Fang, Jianshi
    Zhou, Ding
    [J]. INTERNATIONAL JOURNAL OF APPLIED MECHANICS, 2016, 8 (05)
  • [10] Free in-plane vibration of general curved beams using finite element method
    Yang, F.
    Sedaghati, R.
    Esmailzadeh, E.
    [J]. JOURNAL OF SOUND AND VIBRATION, 2008, 318 (4-5) : 850 - 867
12345