Nonlinear vibration, stability, and bifurcation of rotating axially moving conical shells

被引:0
|
作者
Hadi Vahidi
Majid Shahgholi
Ali Rahmani Hanzaki
Arash Mohamadi
机构
[1] Shahid Rajaee Teacher Training University,Faculty of Mechanical Engineering
来源
Acta Mechanica | 2022年 / 233卷
关键词
D O I
暂无
中图分类号
学科分类号
摘要
The nonlinear vibration characteristics of rotating axially moving conical shells are investigated in the current paper. The nonlinear equations of motion and strain compatibility equation based on Donnell’s nonlinear shell theory are obtained. Three nonlinear equations of motion are reduced to a radial equation by applying the appropriate Airy stress function, forming a set of equations with the compatibility equation. The compatibility equation is solved by employing the seven degrees of freedom with respect to the system’s flexural mode shape. By substituting the flexural mode shape into the equation of motion and applying the Galerkin method, seven nonlinear coupled nonhomogeneous ODEs are achieved, then the set of equations is transformed into the normal form where it has been solved by the numerical method. The effects of the axial and rotational velocity on bifurcation diagrams, frequency response curves, time history, and the phase portraits of the system are discussed. The results of the present paper are validated against available data, and good agreements are achieved.
引用
收藏
页码:3175 / 3196
页数:21
相关论文
共 50 条
  • [31] Natural frequencies of nonlinear vibration of axially moving beams
    Hu Ding
    Li-Qun Chen
    Nonlinear Dynamics, 2011, 63 : 125 - 134
  • [32] Strong nonlinear vibration analysis of axially moving strings
    Qi, Zhonghua
    Yang, Tianzhi
    ICMS2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION, VOL 1: ENGINEERING COMPUTATION AND FINITE ELEMENT ANALYSIS, 2010, : 254 - 258
  • [33] Natural frequencies of nonlinear vibration of axially moving beams
    Ding, Hu
    Chen, Li-Qun
    NONLINEAR DYNAMICS, 2011, 63 (1-2) : 125 - 134
  • [34] BUCKLING OF AXIALLY COMPRESSED CONICAL SHELLS
    CHANG, CH
    KATZ, L
    JOURNAL OF THE ENGINEERING MECHANICS DIVISION-ASCE, 1980, 106 (03): : 501 - 516
  • [36] Free vibration analysis of rotating functionally graded truncated conical shells
    Malekzadeh, P.
    Heydarpour, Y.
    COMPOSITE STRUCTURES, 2013, 97 : 176 - 188
  • [37] Vibration and stability of an axially moving beam immersed in fluid
    Lin, Wang
    Qiao, Ni
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2008, 45 (05) : 1445 - 1457
  • [38] Vibration and Stability of an Axially Moving Beam on Elastic Foundation
    Yang, Xiao-Dong
    Lim, C. W.
    Liew, K. M.
    ADVANCES IN STRUCTURAL ENGINEERING, 2010, 13 (02) : 241 - 247
  • [39] Vibration and Stability of an Axially Moving and Spinning Rayleigh Beam
    Chang, Jer-Rong
    Lin, Wei-Jr
    Chen, Ying-Chung
    Choi, Siu-Tong
    Huang, Chun-Jung
    JOURNAL OF THE CHINESE SOCIETY OF MECHANICAL ENGINEERS, 2023, 44 (01): : 1 - 10
  • [40] Dynamic Stability of Conical Shells in a Nonlinear Approach.
    Joniak, Stefan
    Osmolski, Wojciech
    Rozprawy Inzynierskie, 1973, 21 (03): : 413 - 420