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
  • [1] Transverse vibration spectrum of a part of a moving rod under a longitudinal load
    Akulenko, L. D.
    Georgievskii, D. V.
    Nesterov, S. V.
    MECHANICS OF SOLIDS, 2015, 50 (02) : 227 - 231
  • [2] Spectrum of transverse vibrations of a pipeline element under longitudinal load
    L. D. Akulenko
    D. V. Georgievskii
    S. V. Nesterov
    Doklady Physics, 2016, 61 : 129 - 132
  • [3] VIBRATION OF A CRACKED CANTILEVER BEAM UNDER MOVING MASS LOAD
    Reis, Murat
    Pala, Yasar
    JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT, 2012, 18 (01) : 106 - 113
  • [4] Transverse vibration of a moving string: A physical overview
    Lengoc, L
    McCallion, H
    JOURNAL OF SYSTEMS ENGINEERING, 1996, 6 (02): : 61 - 71
  • [5] An Analytical Procedure to Predict Transverse Vibration Response of Jack-Up Riser under the Random Wave Load
    Wang, Fengde
    Xiao, Wensheng
    Yao, Yanan
    Liu, Qi
    Li, Changjiang
    SHOCK AND VIBRATION, 2020, 2020
  • [6] Natural Frequencies of Nonlinear Transverse Vibration of Axially Moving Beams in the Supercritical Regime
    Ding, Hu
    Chen, Li-Qun
    ADVANCES IN VIBRATION ENGINEERING, 2011, 10 (03): : 261 - 272
  • [7] Vibration of stiffened plates with cutout under concentrated load
    Srivastava, A. K. L.
    Kumar, Pravin
    INTERNATIONAL JOURNAL OF CRASHWORTHINESS, 2009, 14 (05) : 425 - 435
  • [8] Identification of defect position in a wooden beam from the power spectrum of longitudinal vibration
    Sobue, Nobuo
    Fujita, Minori
    Nakano, Atsuko
    Suzuki, Tomohiro
    JOURNAL OF WOOD SCIENCE, 2010, 56 (02) : 112 - 117
  • [9] Dynamic characteristics of a reinforced concrete frame under vibration load conditions
    Cao, P.
    Kozinetc, G. L.
    Badenko, V. L.
    Markov, A.
    Zotov, D. K.
    Kozinets, P. V.
    MAGAZINE OF CIVIL ENGINEERING, 2024, 17 (02):
  • [10] Transverse vibration of a moving string: A comparison between the closed-form solution and the normal-mode solution
    Lengoc, L
    McCallion, H
    JOURNAL OF SYSTEMS ENGINEERING, 1996, 6 (02): : 72 - 78
123