Influence of shear deformation and rotary inertia on nonlinear free vibration of a beam with pinned ends

被引：26
|
作者：
Foda, MA [1 ]
机构：
[1] King Saud Univ, Coll Engn, Dept Mech Engn, Riyadh 11421, Saudi Arabia
来源：
COMPUTERS & STRUCTURES | 1999年 / 71卷 / 06期
关键词：
shear deformation; rotary inertia; nonlinear vibrations; beams;
D O I：
10.1016/S0045-7949(98)00299-5
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The method of multiple scales is used to analyze the nonlinear vibrations of a beam with pinned ends. The formulation incorporates the effects of the transverse shear deformation as well as the rotary inertia on the large amplitude vibration behaviour. A uniformly valid higher second-order perturbation solution is obtained. The predictions of nonlinear frequencies at different beam parameters are given. The influences of sheer and rotary inertia are significant in the case of moderately thick and short beams undergoing large amplitude vibrations. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：663 / 670
页数：8
相关论文
共 50 条
  • [1] Effects of rotary inertia and shear deformation on nonlinear free vibration of microbeams
    Ramezani, Asghar
    Alasty, Aria
    Akbari, Javad
    [J]. JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2006, 128 (05): : 611 - 615
  • [2] Effects of rotary inertia and shear deformation on nonlinear vibration of micromano-beam resonators
    Ramezani, Asghar
    Alasty, Aria
    [J]. Micro-Electro-Mechanical Systems - 2005, 2005, 7 : 439 - 445
  • [3] Free vibration of a paraboloidal shell of revolution including shear deformation and rotary inertia
    Al-Khatib, Omar J.
    Buchanan, George R.
    [J]. THIN-WALLED STRUCTURES, 2010, 48 (03) : 223 - 232
  • [4] FREE-VIBRATION OF COMPOSITE BEAMS INCLUDING ROTARY INERTIA AND SHEAR DEFORMATION
    CHANDRASHEKHARA, K
    KRISHNAMURTHY, K
    ROY, S
    [J]. COMPOSITE STRUCTURES, 1990, 14 (04) : 269 - 279
  • [5] Effects of shear deformation and rotary inertia on the free vibration of a rotating annular plate
    Cote, A
    Atalla, N
    Nicolas, J
    [J]. JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 1997, 119 (04): : 641 - 643
  • [6] INFLUENCE OF SHEAR DEFORMATION AND ROTARY INERTIA ON VIBRATION FREQUENCIES VIA LOVES EQUATIONS
    ABRAMOVICH, H
    ELISHAKOFF, I
    [J]. JOURNAL OF SOUND AND VIBRATION, 1990, 137 (03) : 516 - 522
  • [7] Forced vibration of a novel beam model considering the shear deformation induced rotary inertia
    Wan, Chunfeng
    Hou, Jiale
    Xue, Songtao
    Zhang, Guangcai
    Xie, Liyu
    Huang, Guangxing
    [J]. STRUCTURES, 2023, 47 : 2541 - 2556
  • [8] NONLINEAR FREE VIBRATION OF SIMPLY SUPPORTED BEAMS CONSIDERING THE EFFECTS OF SHEAR DEFORMATION AND ROTARY INERTIA, A HOMOTOPY PERTURBATION APPROACH
    Mojahedi, Mahdi
    Moeenfard, Hamid
    Ahmadian, Mohammad Taghi
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2011, 25 (03): : 441 - 455
  • [9] ROTARY INERTIA AND SHEAR IN BEAM VIBRATION TREATED BY RITZ METHOD
    DAWSON, B
    [J]. AERONAUTICAL JOURNAL, 1968, 72 (688): : 341 - &
  • [10] Free vibration analysis of a Timoshenko beam carrying multiple spring-mass systems with the effects of shear deformation and rotary inertia
    Wang, Jee-Ray
    Liu, Tsung-Lung
    Chen, Der-Wei
    [J]. STRUCTURAL ENGINEERING AND MECHANICS, 2007, 26 (01) : 1 - 14
12345