Effects of shear deformation and rotary inertia on the natural frequencies of axially loaded beams

被引:3
|
作者
Koo, Kyo-Nam [1 ]
机构
[1] Univ Ulsan, Dept Aerosp Engn, Ulsan 680749, South Korea
关键词
Axial load; Natural frequency; Rotary inertia; Shear deformation; Timoshenko beam; FREE-VIBRATION ANALYSIS;
D O I
10.1007/s12206-013-1113-8
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The purpose of this study is to investigate how the axial load in beams influences the relationships between the natural frequencies and the effects of shear deformation and rotary inertia. Four beam theories are considered in this study. Finite element equations of motion for the beams under a tensile load are formulated to allow the application of various axial loads as well as to impose any type of boundary conditions. The results demonstrate that the stiffening effect by a tensile load may not reduce the frequency error of the Euler beam theory, unlike the results reported in other studies.
引用
收藏
页码:849 / 857
页数:9
相关论文
共 50 条
  • [1] Effects of shear deformation and rotary inertia on the natural frequencies of axially loaded beams
    Kyo-Nam Koo
    [J]. Journal of Mechanical Science and Technology, 2014, 28 : 849 - 857
  • [2] EFFECTS OF SHEAR DEFORMATION AND ROTARY INERTIA ON LATERAL FREQUENCIES OF CANTILEVER BEAMS IN BENDING
    CARNEGIE, W
    THOMAS, J
    [J]. JOURNAL OF ENGINEERING FOR INDUSTRY, 1972, 94 (01): : 267 - &
  • [3] EFFECTS OF ROTARY INERTIA AND SHEAR ON NATURAL FREQUENCIES OF CONTINUOUS CIRCULAR CURVED BEAMS
    WANG, TM
    GUILBERT, MP
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1981, 17 (03) : 281 - 289
  • [4] Investigation of the rotary inertia and shear deformation effects on the out-of-plane bending and torsional natural frequencies of laminated beams
    Yildirim, V
    Kiral, E
    [J]. COMPOSITE STRUCTURES, 2000, 49 (03) : 313 - 320
  • [5] EFFECTS OF SHEAR DEFORMATION, ROTARY INERTIA, AND ELASTICITY OF SUPPORT ON RESONANCE FREQUENCIES OF SHORT CANTILEVER BEAMS
    BEGLINGER, V
    BOLLETER, U
    LOCHER, WE
    [J]. JOURNAL OF ENGINEERING FOR POWER-TRANSACTIONS OF THE ASME, 1976, 98 (01): : 79 - 87
  • [6] Natural frequencies of composite beams with a variable fiber volume fraction including rotary inertia and shear deformation
    Bedjilili, Y.
    Tounsi, A.
    Berrabah, H. M.
    Mechab, I.
    Bedia, E. A. Adda
    Benaissa, S.
    [J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2009, 30 (06) : 717 - 726
  • [7] Natural frequencies of composite beams with a variable fiber volume fraction including rotary inertia and shear deformation
    Y. Bedjilili
    A. Tounsi
    H. M. Berrabah
    I. Mechab
    E. A. Adda Bedia
    S. Benaissa
    [J]. Applied Mathematics and Mechanics(English Edition), 2009, 30 (06) : 717 - 726
  • [8] Natural frequencies of composite beams with a variable fiber volume fraction including rotary inertia and shear deformation
    Y. Bedjilili
    A. Tounsi
    H. M. Berrabah
    I. Mechab
    E. A. Adda Bedia
    S. Benaissa
    [J]. Applied Mathematics and Mechanics, 2009, 30 : 717 - 726
  • [9] SHEAR DEFORMATION AND ROTARY INERTIA EFFECTS OF VIBRATING COMPOSITE BEAMS
    ABRAMOVICH, H
    [J]. COMPOSITE STRUCTURES, 1992, 20 (03) : 165 - 173
  • [10] NATURAL FREQUENCIES OF SANDWICH BEAMS INCLUDING SHEAR AND ROTARY EFFECTS
    SILVERMAN, IK
    [J]. JOURNAL OF SOUND AND VIBRATION, 1995, 183 (03) : 547 - 561