Free Vibration Analysis of FGM Timoshenko Beams by Shooting Method

被引：0
|
作者：
Li, Shirong [1 ]
Xu, Hua [1 ]
机构：
[1] Yangzhou Univ, Sch Civil Sci & Engn, Yangzhou, Jiangsu, Peoples R China
来源：
PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON MECHANICAL ENGINEERING AND MECHANICS | 2011年
关键词：
Functionally graded materials; Tomoshenko beam; Free vibration; Shooting method; FUNCTIONALLY GRADED BEAM; FORCED VIBRATION;
D O I：
暂无
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Free vibration response of functionally graded material beams were studied based on the first-order shear deformation theory by numerical shooting method. The material properties of the beam are assumed to be varied in the thickness direction as power law distribution. In the mathematical formulation, the axial, transversal, rotational and axial-rotational coupling inertia forces were totally considered. By using shooting method the ordinary differential equations in terms of amplitude functions with different boundary conditions were solved. Dimensionless natural frequencies for different mode shapes were presented. Effects of the power index, the shearing deformation on the natural frequency were examined in detail.
引用
收藏
页码：483 / 488
页数：6
相关论文
共 50 条
  • [1] Free vibration analysis of Timoshenko beams by DSC method
    Civalek, Omer
    Kiracioglu, Okyay
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, 2010, 26 (12) : 1890 - 1898
  • [2] Free vibration of FGM Timoshenko beams with through-width delamination
    LI ShiRong
    FAN LiangLiang
    [J]. Science China(Physics,Mechanics & Astronomy), 2014, (05) : 927 - 934
  • [3] Free vibration of FGM Timoshenko beams with through-width delamination
    ShiRong Li
    LiangLiang Fan
    [J]. Science China Physics, Mechanics & Astronomy, 2014, 57 : 927 - 934
  • [4] Free vibration of FGM Timoshenko beams with through-width delamination
    Li ShiRong
    Fan LiangLiang
    [J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, 2014, 57 (05) : 927 - 934
  • [5] Free vibration analysis of pre-stressed FGM Timoshenko beams under large transverse deflection by a variational method
    Paul, Amlan
    Das, Debabrata
    [J]. ENGINEERING SCIENCE AND TECHNOLOGY-AN INTERNATIONAL JOURNAL-JESTECH, 2016, 19 (02): : 1003 - 1017
  • [6] An exact method for the free vibration analysis of Timoshenko-Kelvin beams with oscillators
    Cabanski, J
    [J]. JOURNAL OF SOUND AND VIBRATION, 2002, 253 (03) : 669 - 685
  • [7] In-plane free vibration analysis of curved Timoshenko beams by the pseudospectral method
    Lee, J
    [J]. KSME INTERNATIONAL JOURNAL, 2003, 17 (08): : 1156 - 1163
  • [8] Exact Solution for Free Vibration Analysis of FGM Beams
    Bouamama, Mohamed
    Elmeiche, Abbes
    Elhennani, Abdelhak
    Kebir, Tayeb
    Harchouche, Zine El Abidine
    [J]. REVUE DES COMPOSITES ET DES MATERIAUX AVANCES-JOURNAL OF COMPOSITE AND ADVANCED MATERIALS, 2020, 30 (02): : 55 - 60
  • [9] In-plane free vibration analysis of curved Timoshenko beams by the pseudospectral method
    Jinhee Lee
    [J]. KSME International Journal, 2003, 17 : 1156 - 1163
  • [10] FREE VIBRATION ANALYSIS OF ELASTICALLY SUPPORTED TIMOSHENKO BEAMS
    Kocaturk, Turgut
    Simsek, Mesut
    [J]. SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2005, 23 (03): : 79 - 93
12345