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Vibration characteristics and stable region of a parabolic FGM thin-walled beam with axial and spinning motion

  • Baichuan Lin , Bo Chen , Yinghui Li ORCID logo EMAIL logo and Jie Yang
Published/Copyright: June 24, 2021
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 76 Issue 9

Abstract

This paper focuses on the vibration characteristics of the parabolic functionally graded material (FGM) beam considering the axially moving and spinning motion. Based on the Hamilton’s principle, the governing equation of the beam is derived. Then, the Galerkin’s method is employed to solve the equation. The combined influence of axial speed, spinning speed, and geometric parameters on natural frequencies of the beam are investigated. What’s more, the axially moving and spinning motion can lead to a critical axial speed and critical spinning angular speed, respectively. These two critical speeds and stable region affected by different parameters are also discussed.

Keywords: axially moving; parabolic beam; spinning motion; stable region; vibration characteristics
Corresponding author: Yinghui Li, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, PR China, E-mail:

Funding source: National Natural Science Foundation of China

Award Identifier / Grant number: Grant Nos. 11872319

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: This research work was supported by the National Natural Science Foundation of China (Grant Nos. 11872319).

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2021-03-16
Revised: 2021-05-31
Accepted: 2021-06-04
Published Online: 2021-06-24
Published in Print: 2021-09-27

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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https://doi.org/10.1515/zna-2021-0073
Keywords for this article
axially moving; parabolic beam; spinning motion; stable region; vibration characteristics

Articles in the same Issue

  1. Frontmatter
  2. Atomic, Molecular & Chemical Physics
  3. Chirp waveform control to produce broad harmonic plateau and single attosecond pulse
  4. Dynamical Systems & Nonlinear Phenomena
  5. Ion-acoustic stable oscillations, solitary, periodic and shock waves in a quantum magnetized electron–positron–ion plasma
  6. Nonlinear forced vibration of rotating composite laminated cylindrical shells under hygrothermal environment
  7. Vibration characteristics and stable region of a parabolic FGM thin-walled beam with axial and spinning motion
  8. Hydrodynamics
  9. Curvilinear flow of micropolar fluid with Cattaneo–Christov heat flux model due to oscillation of curved stretchable sheet
  10. Quantum Theory
  11. Accuracy of the typicality approach using Chebyshev polynomials
  12. Solid State Physics & Materials Science
  13. Impact of Sn ions on structural and electrical description of TiO2 nanoparticles
  14. The effect of non-bridging oxygen on the electrical transport of some lead borate glasses containing cobalt
  15. Thermodynamics & Statistical Physics
  16. Analytical solution for unsteady adiabatic and isothermal flows behind the shock wave in a rotational axisymmetric mixture of perfect gas and small solid particles
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