Transverse vibration spectrum of a part of a moving rod under a longitudinal load

被引:0
|
作者
L. D. Akulenko
D. V. Georgievskii
S. V. Nesterov
机构
[1] Russian Academy of Sciences,Ishlinsky Institute for Problems in Mechanics
[2] Lomonosov Moscow State University,undefined
来源
Mechanics of Solids | 2015年 / 50卷
关键词
rod motion; longitudinal force; flexural vibration; nonself-adjoint problem; Ferrari formulas; secular equation; natural frequencies;
D O I
暂无
中图分类号
学科分类号
摘要
We study the natural transverse vibrations of a constant-length part of a rectilinear thin rod moving along a neutral line in unstrained state. The displacement occurs between two fixed coaxial rod guides (clamps) and the distance between them is equal to the length of the vibration part of the rod. Moreover, it is assumed that a constant longitudinal force acts along the neutral line, and two significantly different cases are distinguished: the force extends the rod, and the force compresses the rod.
引用
收藏
页码:227 / 231
页数:4
相关论文
共 27 条
  • [21] Combination resonance of a moving ferromagnetic thin plate under double alternating line loads in a transverse constant magnetic field
    Xie, Mengxue
    Hu, Yuda
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 134
  • [22] Free vibration and thermal buckling analysis of FGM sandwich circular plate under transverse non-uniform temperature rise
    Zhao, Weidong
    Gong, Xuebei
    Guo, Dongmei
    Li, Chenglong
    JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2024, 46 (02)
  • [23] Analytical solutions for out-of-plane response of curved beams resting on an elastic foundation under a random moving load
    Chen, Haijun
    Cai, Yong
    Zhang, Jiajia
    Lv, Xiaoyong
    Li, Xueqi
    ENGINEERING STRUCTURES, 2024, 318
  • [24] An Analytical Solution for Free Vibration of Elastically Restrained Timoshenko Beam on an Arbitrary Variable Winkler Foundation and Under Axial Load
    Ghannadiasl, Amin
    Mofid, Massood
    LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES, 2015, 12 (13): : 2417 - 2438
  • [25] FREE VIBRATION AND BUCKLING OF CANTILEVER BEAMS UNDER LINEARLY VARYING AXIAL LOAD CARRYING AN ECCENTRIC END RIGID BODY
    Lajimi, Seyed Amir Mousavi
    Heppler, Glenn R.
    TRANSACTIONS OF THE CANADIAN SOCIETY FOR MECHANICAL ENGINEERING, 2013, 37 (01) : 89 - 109
  • [26] Free vibration analysis of viscoelastic nanotubes under longitudinal magnetic field based on nonlocal strain gradient Timoshenko beam model
    Zhen, Ya-Xin
    Wen, Shi-Long
    Tang, Ye
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2019, 105 : 116 - 124
  • [27] DSC regularized Dirac-delta method for dynamic analysis of FG graphene platelet-reinforced porous beams on elastic foundation under a moving load
    Zhang, L. H.
    Lai, S. K.
    Wang, C.
    Yang, J.
    COMPOSITE STRUCTURES, 2021, 255